Mail Code: 94305-2220

Phone: (650) 725-2718

Email: ere@sesmail.stanford.edu

Web Site: https://earth.stanford.edu/ere

Courses offered by the Department of Energy Resources Engineering are listed under the subject code ENERGY on the Stanford Bulletin's ExploreCourses web site.

The Department of Energy Resources Engineering (ERE) awards the following degrees: the Bachelor of Science, Master of Science, Engineer, and Doctor of Philosophy in Energy Resources Engineering. The department also awards the Master of Science, Engineer, and Doctor of Philosophy in Petroleum Engineering. Consult the ERE student services office to determine the relevant program.

Energy Resources Engineering contributes to the engineering science needed to maintain and diversify energy supply while finding the least impactful and most rapid pathways toward greater energy sustainability. Energy Resources Engineering is concerned with the production, transformation, and impacts of energy resources including renewables and fossil fuels. Crude oil and natural gas are especially important components of the current energy system due to their widespread use, economic importance, and contributions to climate change. As such, the flow of water, oil, and gas in the subsurface are important to quantify accurately for energy recovery, energy storage, environmental assessment, and carbon storage.

The program also has a strong interest in related energy topics such as renewable energy, global climate change, carbon capture and sequestration, and energy systems. The Energy Resources Engineering curriculum provides a sound background in basic sciences and their application to practical problems to address the complex and changing nature of the field. Course work includes the fundamentals of chemistry, computer science, engineering, geology, geophysics, mathematics, and physics. Applied courses cover most aspects of energy resources engineering and some related fields such as geostatistics. The curriculum emphasizes the fundamental aspects of fluid flow in the subsurface. These principles apply to optimizing energy recovery from petroleum reservoirs, geothermal energy systems, energy storage, and remediating contaminated groundwater systems.

Faculty and graduate students conduct research in areas including: enhanced oil recovery; geostatistical reservoir characterization and mathematical modeling; geothermal engineering; natural gas engineering; production optimization; data assimilation and uncertainty quantification; properties of petroleum fluids; power production from wind and wave energy; well test analysis; carbon sequestration; multi-scale physics; and energy system modeling and optimization. Undergraduates are encouraged to participate in research projects.

The department is housed in the Green Earth Sciences Building. It operates laboratories for research in enhanced oil recovery processes, geological carbon storage operations, and geothermal engineering. Students have access to a variety of computers, computing platforms and software for research and course work.

## Mission of the Undergraduate Program in Energy Resources Engineering

The mission of the Energy Resources Engineering major is to provide students with the engineering skills and foundational knowledge needed to flourish as technical leaders within the energy industry. Such skills and knowledge include resource assessment, choices among energy alternatives, and carbon management, as well as the basic scientific background and technical skills common to engineers. The curriculum is designed to prepare students for immediate participation in many aspects of the energy industry and graduate school.

## Learning Outcomes (Undergraduate)

The department expects undergraduate majors in the program to be able to demonstrate the following learning outcomes. These learning outcomes are used in evaluating students and the department's undergraduate program. Students are expected to:

- apply skills developed in fundamental courses to engineering problems.
- research, analyze, and synthesize solutions to an original and contemporary energy problem.
- work independently and as part of a team to develop and improve engineering solutions.
- apply written, visual, and oral presentation skills to communicate scientific knowledge.

## Graduate Programs in Energy Resources Engineering

The Energy Resources Engineering department offers two distinct degree programs at both the M.S and Ph.D. levels. One program leads to the degrees of M.S. or Ph.D. in Petroleum Engineering, and the other leads to the degrees of M.S. or Ph.D. in Energy Resources Engineering. The Engineer degree, that is offered in either Petroleum Engineering or Energy Resources Engineering, is an extended form of the M.S. degree with additional course work and research.

## Learning Outcomes (Graduate)

The objective is to prepare students to be technical leaders in the energy industry, academia and research organizations through completion of independent research as well as fundamental courses in the major field and in related sciences. Students are expected to:

- apply skills developed in fundamental courses to engineering problems.
- research, analyze, and synthesize solutions to an original and contemporary energy problem.
- work independently and as part of a team to develop and improve engineering solutions.
- apply written, visual, and oral presentation skills to communicate scientific knowledge.
- MS students are expected to develop in-depth technical understanding of energy problems at an advanced level.
- Ph.D. students are expected to complete a scientific investigation that is significant, challenging and original.

## Bachelor of Science in Energy Resources Engineering

The four-year program leading to the B.S. degree provides a foundation for careers in many facets of the energy industry. The curriculum includes basic science and engineering courses that provide sufficient depth for a wide spectrum of careers in the energy, engineering, and environmental fields.

One of the goals of the program is to provide experience integrating the skills developed in individual courses to address a significant design problem. In ENERGY 199 Senior Project and Seminar in Energy Resources, taken in the senior year, student teams identify and propose technical solutions for an energy-resource related problem of current interest.

### Program

The requirements for the B.S. degree in Energy Resources Engineering are similar, but not identical, to those described in the "School of Engineering" section of this bulletin. Students must satisfy the University Thinking Matters, Ways of Thinking/Ways of Doing (Ways), writing and rhetoric, and language requirements. The normal Energy Resources Engineering undergraduate program automatically satisfies the University Ways requirement in the Disciplinary Breadth areas of Natural Sciences, Engineering and Applied Sciences, and Mathematics.

Courses taken to fulfill the requirements for the major (energy resources core and depth; mathematics; engineering fundamentals; science; and technology in society) must be taken for a letter grade if the option is offered.

The Energy Resources Engineering undergraduate curriculum is designed to prepare students for participation in the energy industry or for graduate studies, while providing requisite skills to evolve as the energy landscape shifts over the next half century. The program provides a background in mathematics, basic sciences, and engineering fundamentals such as multiphase fluid flow in the subsurface. In addition, the curriculum is structured with flexibility that allows students to explore energy topics of particular individual interest and to study abroad.

In brief, the unit and subject requirements are:

Units | ||
---|---|---|

Energy Resources Core | 15-16 | |

Energy Resources Depth | 18 | |

Mathematics | 25 | |

Engineering Fundamentals and Depth | 20-24 | |

Science | 29-32 | |

Technology in Society | 3-5 | |

University Requirements: Ways, Writing, Language | 60-70 | |

Total Units | 170-190 |

The following courses constitute the normal program leading to a B.S. in Energy Resources Engineering. The program may be modified to meet a particular student's needs and interests with the adviser's prior approval.

#### Required Core in Energy Resources Engineering

Units | ||
---|---|---|

The following courses constitute the core program in Energy Resources Engineering | ||

ENERGY 101 | Energy and the Environment | 3 |

ENERGY 104 | Sustainable Energy for 9 Billion | 3 |

ENERGY 120 | Fundamentals of Petroleum Engineering | 3 |

ENERGY 160 | Uncertainty Quantification in Data-Centric Simulations | 3 |

ENERGY 199 | Senior Project and Seminar in Energy Resources (WIM) | 3-4 |

Mathematics | 10 | |

Calculus | ||

Calculus | ||

Calculus | ||

And the following (CME series recommended): | ||

CME 100 | Vector Calculus for Engineers | 5 |

or MATH 51 | Linear Algebra, Multivariable Calculus, and Modern Applications | |

CME 102 | Ordinary Differential Equations for Engineers | 5 |

or MATH 53 | Ordinary Differential Equations with Linear Algebra | |

CME 104 | Linear Algebra and Partial Differential Equations for Engineers | 5 |

or MATH 52 | Integral Calculus of Several Variables | |

Science | ||

CHEM 31A | Chemical Principles I | 5 |

or CHEM 31X | Chemical Principles Accelerated | |

CHEM 31B | Chemical Principles II | 5 |

or CHEM 31X | Chemical Principles Accelerated | |

CHEM 33 | Structure and Reactivity of Organic Molecules | 5 |

PHYSICS 41 | Mechanics | 4 |

PHYSICS 43 | Electricity and Magnetism | 4 |

PHYSICS 45 | Light and Heat | 4 |

PHYSICS 46 | Light and Heat Laboratory | 1 |

GEOLSCI 1 | Introduction to Geology | 5 |

Engineering Fundamentals | ||

CS 106A | Programming Methodology | 3-5 |

or CS 106X | Programming Abstractions (Accelerated) | |

CS 106B | Programming Abstractions | 3-5 |

or CS 106X | Programming Abstractions (Accelerated) | |

ENGR 14 | Intro to Solid Mechanics | 3 |

ME 30 | Engineering Thermodynamics (Previously ENGR 30) | 3 |

ENERGY 110 | Engineering Economics | 3 |

ME 70 | Introductory Fluids Engineering | 3 |

Technology in Society, 1 course |

#### Earth and Energy Depth

Complete at least 5 courses from either the Renewable and Clean Energy or Petroleum Engineering emphasis lists below. Complete at least one course form the other emphasis. Units must total to at least 18 units.

Units | ||
---|---|---|

Renewable and Clean Energy | ||

ENERGY 102 | Fundamentals of Renewable Power | 3 |

ENERGY 153 | Carbon Capture and Sequestration | 3-4 |

ENERGY 191 | Optimization of Energy Systems | 3-4 |

ENERGY 293 | Energy storage and conversion: Solar Cells, Fuel Cells, Batteries and Supercapacitors | 3-4 |

ENERGY 293B | Fundamentals of Energy Processes | 3 |

ENERGY 293C | Energy from Wind and Water Currents | 3 |

or ENERGY 262 | Physics of Wind Energy | |

CEE 70 | Environmental Science and Technology | 3 |

CEE 176A | Energy Efficient Buildings | 3-4 |

CEE 176B | 100% Clean, Renewable Energy and Storage for Everything | 3-4 |

Petroleum Engineering | ||

ENERGY 112 | Exploring Geosciences with MATLAB | 1-3 |

ENERGY 121 | Fundamentals of Multiphase Flow | 3 |

ENERGY 130 | Well Log Analysis I | 3 |

ENERGY 141 | Seismic Reservoir Characterization | 3-4 |

ENERGY 153 | Carbon Capture and Sequestration | 3-4 |

ENERGY 175 | Well Test Analysis | 3 |

ENERGY 180 | Oil and Gas Production Engineering | 3 |

ENERGY 191 | Optimization of Energy Systems | 3-4 |

GEOLSCI 106 | Sedimentary Geology and Depositional Systems | 4 |

GEOPHYS 182 | Reflection Seismology | 3 |

### Honors Program

The program in Energy Resources Engineering leading to the Bachelor of Science with Honors provides an opportunity for independent study and research on a topic of special interest and culminates in a written report and oral presentation.

The honors program is open to students with a grade point average (GPA) of at least 3.5 in all courses required for the ERE major and minimum of 3.0 in all University course work. Qualified students intending to pursue honors must submit an Honors Program Application to the undergraduate program director no later than the eighth week of their ninth quarter, but students are encouraged to apply to the program during Winter Quarter of their junior year. The application includes a short form, an unofficial transcript, and a 2-3 page research proposal prepared by the student and endorsed by a faculty member who serves as the research adviser.

Upon approval, students enroll in the honors program via Axess. Students must enroll in a total of 9 units of ENERGY 193 Undergraduate Research Problems; these units may be spread out over the course of the senior year, and may include previous enrollment units for the same research project. Research undertaken for the honors program cannot be used as a substitute for regularly required courses. A formal written report must be submitted to the student's research adviser no later than the fourth week of the student's final quarter, and the report must be read, approved, and signed by the student's faculty adviser and a second member of the faculty. Each honors candidate must make an oral presentation of his or her research results.

## Minor in Energy Resources Engineering

The minor in Energy Resources Engineering requires the following three courses plus three additional electives. Courses must be planned in consultation with an ERE adviser. Appropriate substitutions are allowed with the consent of the adviser.

### Required courses

Units | ||
---|---|---|

ENERGY 101 | Energy and the Environment | 3 |

ENERGY 120 | Fundamentals of Petroleum Engineering | 3 |

ENERGY 160 | Uncertainty Quantification in Data-Centric Simulations | 3 |

### Elective courses

Units | ||
---|---|---|

Select at least three of the following: | ||

Fundamentals of Renewable Power | ||

Sustainable Energy for 9 Billion | ||

Exploring Geosciences with MATLAB | ||

Fundamentals of Multiphase Flow | ||

Well Log Analysis I | ||

Seismic Reservoir Characterization | ||

Carbon Capture and Sequestration | ||

Well Test Analysis | ||

Oil and Gas Production Engineering | ||

Geothermal Reservoir Engineering | ||

Sedimentary Geology and Depositional Systems | ||

Reflection Seismology |

## Master of Science in Petroleum Engineering

The objective is to prepare the student for professional work in the energy industry, or for doctoral studies, through completion of fundamental courses in the major field and in related sciences as well as independent research.

Students entering the graduate program are expected to have an undergraduate-level engineering or physical science background. Competence in computer programming in a high-level language (CS 106X Programming Abstractions (Accelerated) or the equivalent) and knowledge of engineering and geological fundamentals (ENERGY 120 Fundamentals of Petroleum Engineering, ENERGY 130 Well Log Analysis I, and GEOLSCI 106 Sedimentary Geology and Depositional Systems) are prerequisites for taking most graduate courses.

The following are minimum requirements for a student in the Department of Energy Resources Engineering to remain in good academic standing regarding course work:

- no more than one incomplete grade at any time
- a cumulative grade point average (GPA) of 3.0
- a grade point average (GPA) of 2.7 each quarter
- a minimum of 15 units completed within each two quarter period (excluding Summer Quarter).

Unless otherwise stated by the instructor, incomplete grades in courses within the department are changed to 'NP' (not passed) at the end of the quarter after the one in which the course was given. This one quarter limit is a different constraint from the maximum one-year limit allowed by the University.

Academic performance is reviewed each quarter by a faculty committee. At the beginning of the next quarter, any student not in good academic standing receives a letter from the committee or department chair stating criteria that must be met for the student to return to good academic standing. If the situation is not corrected by the end of the quarter, possible consequences include termination of financial support, termination of departmental privileges, and termination from the University.

Students funded by research grants or fellowships from the department are expected to spend at least half of their time (a minimum of 20 hours per week) on research. Continued funding is contingent upon satisfactory research effort and progress as determined by the student's adviser. After Autumn Quarter of the first year, students receive a letter from the department chair concerning their research performance. If problems are identified and they persist through the second quarter, a warning letter is sent. Problems persisting into a third quarter may lead to loss of departmental support including tuition and stipend. Similar procedures are applied in subsequent years.

A balanced master's degree program including engineering course work and research requires a minimum of one maximum-tuition academic year beyond the baccalaureate to meet the University residence requirements. Most full-time students spend at least one additional summer to complete the research requirement. An alternative master's degree program based only on course work is available, also requiring at least one full tuition academic year to meet University residence requirements.

M.S. students who anticipate continuing in the Ph.D. program should follow the research option. M.S. students receiving financial aid normally require two academic years to complete the degree. Such students must take the research option.

The candidate must fulfill the following requirements:

- Register as a graduate student for at least 45 units.
- Submit a program proposal for the Master's degree approved by the adviser during the first quarter of enrollment.
- Complete 45 units with a grade point average (GPA) of at least 3.0. This requirement is satisfied by taking the core sequence, selecting one of the seven elective sequences, an appropriate number of additional courses from the list of technical electives, and completing 6 units of master's level research. Students electing the course work only M.S. degree are strongly encouraged to select an additional elective sequence in place of the research requirement. Students interested in continuing for a Ph.D. are expected to choose the research option and enroll in 6 units of ENERGY 361 Master's Degree Research in Energy Resources Engineering. All courses must be taken for a letter grade.
- Complete 3 units of ENERGY 351 ERE Master's Graduate Seminar. These units do not count toward the 45 units of course work required for the M.S. degree.
- Students entering without an undergraduate degree in Petroleum Engineering must make up deficiencies in previous training. Not more than 10 units of such work may be counted as part of the minimum total of 45 units toward the M.S. degree.

Research subjects include certain groundwater hydrology and environmental problems, energy industry management, flow of non-Newtonian fluids, geothermal energy, natural gas engineering, oil and gas recovery, pipeline transportation, production optimization, reservoir characterization and modeling, carbon sequestration, reservoir engineering, reservoir simulation, and transient well test analysis.

### Recommended Courses and Sequences

The following list is recommended for most students. With the prior special consent of the student's adviser, courses listed under technical electives may be substituted based on interest or background.

#### Core Sequence (12 units)

Units | ||
---|---|---|

ENERGY 221 | Fundamentals of Multiphase Flow | 3 |

ENERGY 222 | Advanced Reservoir Engineering | 3 |

ENERGY 251 | Thermodynamics of Equilibria | 3 |

ENERGY 297 | Fluid Mechanics and Heat Transfer | 3 |

#### Mathematics and Analysis Fundamentals (12 units)

Units | ||
---|---|---|

CME 200 | Linear Algebra with Application to Engineering Computations | 3 |

And select one of the following (3 units): | ||

CME 204 | Partial Differential Equations in Engineering | 3 |

CME 206 | Introduction to Numerical Methods for Engineering | 3 |

ENERGY 281 | Applied Mathematics in Reservoir Engineering | 3 |

And select two of the following (6 units): | ||

ENERGY 240 | Data science for geoscience | 3 |

ENERGY 260 | Uncertainty Quantification in Data-Centric Simulations | 3 |

ENERGY 281 | Applied Mathematics in Reservoir Engineering | 3 |

ENERGY 291 | Optimization of Energy Systems | 3-4 |

CME 204 | Partial Differential Equations in Engineering | 3 |

CME 206 | Introduction to Numerical Methods for Engineering | 3 |

#### Technical Elective Sequence (15 units)

Units | ||
---|---|---|

Select three courses from one of the following sequences and additional technical courses to obtain 15 total elective units: | 15 | |

Environmental: | ||

Select three of the following: | ||

Enhanced Oil Recovery | ||

Contaminant Hydrogeology and Reactive Transport | ||

Movement and Fate of Organic Contaminants in Waters | ||

Aquatic Chemistry | ||

Enhanced Recovery: | ||

Select three of the following: | ||

Physical Hydrogeology | ||

Theory of Gas Injection Processes | ||

Thermal Recovery Methods | ||

Enhanced Oil Recovery | ||

Geostatistics and Reservoir Modeling: | ||

Data science for geoscience | ||

Seismic Reservoir Characterization | ||

Reflection Seismology | ||

or GEOPHYS 262 | Rock Physics | |

Geothermal: | ||

Geothermal Reservoir Engineering | ||

Energy and Mass Transport | ||

Heat Transfer | ||

Reservoir Performance: | ||

Select three of the following: | ||

Well Log Analysis I | ||

Well Test Analysis | ||

Reservoir Simulation | ||

Oil and Gas Production Engineering | ||

Reservoir Geomechanics | ||

Simulation and Optimization: | ||

Reservoir Simulation | ||

Advanced Reservoir Simulation | ||

Optimization and Inverse Modeling | ||

Renewable Energy: | ||

Energy storage and conversion: Solar Cells, Fuel Cells, Batteries and Supercapacitors | ||

Fundamentals of Energy Processes | ||

Geothermal Reservoir Engineering | ||

or ENERGY 262 | Physics of Wind Energy |

#### Research Sequence (6 units)

Units | ||
---|---|---|

ENERGY 361 | Master's Degree Research in Energy Resources Engineering ^{1} | 1-6 |

Total Units | 1-6 |

^{1} | Students choosing the company sponsored course-work-only for the M.S. degree may substitute an additional elective sequence in place of the research. |

## Master of Science in Energy Resources Engineering

The objective of the M.S. degree in Energy Resources Engineering is to prepare the student either for a professional career or for doctoral studies. Students in the M.S. degree program must fulfill the following:

- Complete a 45-unit program of study. The degree has two options:
- a course work degree, requiring 45 units of course work
- a research degree, with a minimum of 39 units of course work, and the remainder consisting of no more than 6 research units.

- Complete 3 units of ENERGY 351 ERE Master's Graduate Seminar. These units do not count toward the 45 units of course work required for the M.S. degree.
- Course work units must be divided among two or more scientific and/or engineering disciplines and can include the core courses required for the Ph.D. degree.
- All courses must be taken for a letter grade.
- The program of study must be approved by the academic adviser and the department graduate program committee.
- Students taking the research-option degree are required to complete an M.S. thesis, approved by the student's thesis committee.

### Recommended Courses and Sequences

The following list is recommended for most students. With the prior consent of the student’s adviser, courses listed under technical electives may be substituted based on interest or background.

#### Core Sequence (12 units)

Units | ||
---|---|---|

ENERGY 253 | Carbon Capture and Sequestration | 3-4 |

ENERGY 293 | Energy storage and conversion: Solar Cells, Fuel Cells, Batteries and Supercapacitors | 3-4 |

ENERGY 293B | Fundamentals of Energy Processes | 3 |

ENERGY 297 | Fluid Mechanics and Heat Transfer | 3 |

#### Mathematics and Analysis Fundamentals (12 units)

Units | ||
---|---|---|

CME 200 | Linear Algebra with Application to Engineering Computations | 3 |

And select one of the following (3 units): | ||

CME 204 | Partial Differential Equations in Engineering | 3 |

CME 206 | Introduction to Numerical Methods for Engineering | 3 |

ENERGY 281 | Applied Mathematics in Reservoir Engineering | 3 |

And select two of the following (6 units): | ||

ENERGY 240 | Data science for geoscience | 3 |

ENERGY 260 | Uncertainty Quantification in Data-Centric Simulations | 3 |

ENERGY 281 | Applied Mathematics in Reservoir Engineering | 3 |

ENERGY 291 | Optimization of Energy Systems | 3-4 |

CME 204 | Partial Differential Equations in Engineering | 3 |

CME 206 | Introduction to Numerical Methods for Engineering | 3 |

#### Technical Elective Sequence (15 units)

Units | ||
---|---|---|

Select three courses from one of the following sequences and additional technical courses to obtain 15 total elective units: | 15 | |

Geothermal: | ||

Select three of the following: | ||

Reservoir Simulation | ||

Geothermal Reservoir Engineering | ||

Energy and Mass Transport | ||

Heat Transfer | ||

Energy Systems I: Thermodynamics | ||

Low Carbon Energy: | ||

Select three of the following: | ||

Sustainable Energy for 9 Billion | ||

Reservoir Simulation | ||

Thermodynamics of Equilibria | ||

Geothermal Reservoir Engineering | ||

Optimization of Energy Systems | ||

Separation Processes | ||

Energy Systems I: Thermodynamics | ||

Energy Systems II: Modeling and Advanced Concepts | ||

Modeling Natural Resources: | ||

Select three of the following: | ||

Data science for geoscience | ||

Seismic Reservoir Characterization | ||

Optimization and Inverse Modeling | ||

Rock Physics | ||

Oil and Gas: | ||

Select three of the following: | ||

Sustainable Energy for 9 Billion | ||

Well Log Analysis I | ||

Well Test Analysis | ||

Fundamentals of Multiphase Flow | ||

Advanced Reservoir Engineering | ||

Reservoir Simulation | ||

Data science for geoscience | ||

Thermodynamics of Equilibria | ||

Total Units | 15 |

#### Research Sequence (6 units)

Units | ||
---|---|---|

ENERGY 361 | Master's Degree Research in Energy Resources Engineering ^{1} | 1-6 |

Total Units | 1-6 |

^{1} | Students choosing the company sponsored course-work-only for the M.S. degree may substitute an additional elective sequence in place of the research. |

## Coterminal B.S. and M.S. Program in Energy Resources Engineering

The coterminal B.S./M.S. program offers an opportunity for Stanford University students to pursue a graduate experience while completing the B.S. degree in any relevant major. Energy Resources Engineering graduate students generally come from backgrounds such as chemical, civil, or mechanical engineering; geology or other earth sciences; or physics or chemistry.

The two types of M.S. degrees, the course work only degree and the research degree, as well as the courses required to meet degree requirements, are described above in the M.S. section. Both degrees require 45 units and may take from one to two years to complete depending on circumstances unique to each student.

Requirements to enter the program are: three letters of recommendation from faculty members or job supervisors, a statement of purpose, scores from the GRE general test, and a copy of Stanford University transcripts. While the department does not require any specific GPA or GRE score, potential applicants are expected to compete favorably with graduate student applicants.

#### University Coterminal Requirements

Coterminal master’s degree candidates are expected to complete all master’s degree requirements as described in this bulletin. University requirements for the coterminal master’s degree are described in the “Coterminal Master’s Program” section. University requirements for the master’s degree are described in the "Graduate Degrees" section of this bulletin.

After accepting admission to this coterminal master’s degree program, students may request transfer of courses from the undergraduate to the graduate career to satisfy requirements for the master’s degree. Transfer of courses to the graduate career requires review and approval of both the undergraduate and graduate programs on a case by case basis.

In this master’s program, courses taken during or after the first quarter of the sophomore year are eligible for consideration for transfer to the graduate career; the timing of the first graduate quarter is not a factor. No courses taken prior to the first quarter of the sophomore year may be used to meet master’s degree requirements.

Course transfers are not possible after the bachelor’s degree has been conferred.

The University requires that the graduate adviser be assigned in the student’s first graduate quarter even though the undergraduate career may still be open. The University also requires that the Master’s Degree Program Proposal be completed by the student and approved by the department by the end of the student’s first graduate quarter.

A Petroleum Engineering or Energy Resources Engineering master's degree can be used as a terminal degree for obtaining a professional job in the engineering or energy industries, or in any related industry where application of physical principles or computer simulation skills are required. It can also be a stepping stone to a Ph.D. degree, that usually leads to a professional research job or an academic position.

Students should apply to the program any time after they have completed 120 undergraduate units, and in time to take ENERGY 120 Fundamentals of Petroleum Engineering, the basic introductory course in Autumn Quarter of the year they wish to begin the program. Contact the Department of Energy Resources Engineering to obtain additional information. Students should have a background at least through MATH 53 Ordinary Differential Equations with Linear Algebra and CS 106AB Programming Methodology before beginning graduate work in this program.

## Doctor of Philosophy in Petroleum Engineering or Energy Resources Engineering

The Ph.D. degree is conferred upon demonstration of high achievement in independent research and by presentation of the research results in a written dissertation and oral defense.

The following are minimum requirements for a student in the Department of Energy Resources Engineering to remain in good academic standing regarding course work:

- no more than one incomplete grade at any time
- a cumulative grade point average (GPA) of 3.25
- a grade point average (GPA) of 2.7 each quarter
- a minimum of 15 units completed within each two quarter period (excluding Summer Quarter).

Unless otherwise stated by the instructor, incomplete grades in courses within the department are changed to 'NP' (not passed) at the end of the quarter after the one in which the course was given. This one quarter limit is a different constraint from the maximum one-year limit allowed by the University.

Academic performance is reviewed each quarter by a faculty committee. At the beginning of the next quarter, any student not in good academic standing receives a letter from the committee or department chair stating criteria that must be met for the student to return to good academic standing. If the situation is not corrected by the end of the quarter, possible consequences include termination of financial support, termination of departmental privileges, and termination from the University.

Students funded by research grants or fellowships from the department are expected to spend at least half of their time (a minimum of 20 hours per week) on research. Continued funding is contingent upon satisfactory research effort and progress as determined by the student's adviser. After Autumn Quarter of the first year, students receive a letter from the department chair concerning their research performance. If problems are identified and they persist through the second quarter, a warning letter is sent. Problems persisting into a third quarter may lead to loss of departmental support including tuition and stipend. Similar procedures are applied in subsequent years.

The Ph.D. degree is awarded primarily on the basis of completion of significant, original research. Extensive course work and a minimum of 90 units of graduate work beyond the master's degree are required. Doctoral candidates planning theoretical work are encouraged to gain experimental research experience in the M.S. program. Ph.D. students receiving financial assistance are limited to 10 units per quarter and often require more than three years to complete the Ph.D. beyond the M.S. degree.

In addition to University and the Department of Energy Resources Engineering basic requirements for the doctorate, the Petroleum Engineering Ph.D. and Energy Resources Engineering Ph.D. degrees have the following requirements:

- Complete 135 units of total graduate work (90 units beyond the master's degree). The 90 units are composed of a minimum of 36 units of research and a minimum of 36 units of course work. At least half of the classes must be at a 200 level or higher and all must be taken for a letter grade. Students with an M.S. degree or other specialized training from outside ERE are generally expected to include ENERGY 221 Fundamentals of Multiphase Flow, and ENERGY 240 Data science for geoscience, or their equivalents. The number and distribution of courses to be taken is determined with input from the research advisers and department graduate program committee.
- To achieve candidacy (usually during or at the end of the first year of enrollment), the student must complete 24 units of letter-graded course work beyond the M.S. degree, pass a written exam, develop a written Ph.D. research proposal, and choose a dissertation committee.
- The research adviser(s) and two other faculty members comprise the dissertation reading committee. Upon completion of the dissertation, the student must pass a University oral examination in defense of the dissertation.
- Act as a teaching assistant at least once, and enroll in ENERGY 359 Teaching Experience in Energy Resources Engineering.
- Complete 4 units of ENERGY 352 ERE PhD Graduate Seminar. These units do not count toward the 36 units of course work required for the Ph.D. degree.

36 units of course work is a minimum; in some cases the research adviser may specify additional requirements to strengthen the student's expertise in particular areas. The 36 units of course work does not include required teaching experience (ENERGY 359 Teaching Experience in Energy Resources Engineering) nor required research seminars.

The dissertation must be submitted in its final form within five calendar years from the date of admission to candidacy. Candidates who fail to meet this deadline must submit an Application for Extension of Candidacy for approval by the department chair if they wish to continue in the program.

Ph.D. students entering the department are required to hold an M.S. degree in a relevant science or engineering discipline. Students wishing to follow the Ph.D. program in Petroleum Engineering must hold an M.S. degree (or equivalent) in Petroleum Engineering. Students following the Ph.D. program in Energy Resources Engineering must hold an M.S. degree (or equivalent), although it need not be in Energy Resources Engineering.

After the second quarter at Stanford, a faculty committee evaluates the student's progress. If a student is found to be deficient in course work and/or research, a written warning is issued. After the third quarter, the faculty committee decides whether or not funding should be continued for the student. Students denied funding after the third quarter are advised against proceeding with the Ph.D. proposal, though the student may choose to proceed under personal funding.

#### Ph.D. Degree Qualification

The procedure for Ph.D. qualification is identical for individuals who entered the department as an M.S. or a Ph.D. student. For students completing an M.S. in the department, the student formally applies to the Ph.D. program in the second year of the M.S. degree program. The student is considered for admission to the Ph.D. program along with external applicants. The admission decision is based primarily upon research progress and course work.

There are two steps to the qualification procedure. Students first take a preliminary written exam that is offered at the beginning of Autumn Quarter. The exam focuses upon synthesis of knowledge acquired from core courses in ERE or PE. Exams are different for ERE and PE Ph.D. students, but share a goal of having students exhibit capability to solve an engineering problem. Students take the exam consistent with their Ph.D. degree objective (i.e., ERE or PE).

Students continuing within the department take the written exam at the beginning of their first quarter as Ph.D. students. Students who completed their M.S. outside of the department take the written exam at the beginning of their fourth quarter as Ph.D. students. A student who does not pass the exam may not be allowed to take the exam a second time. Any student who does not pass the written exam is considered to have failed the qualifying exam. Any student who is deemed to have not made sufficient research progress may not be allowed to take the preliminary exam and research progress is taken into account for pass, fail, and retake decisions.

A written Ph.D. proposal and oral defense are the main components of the second step. The written proposals are reviewed by three faculty members. Students are provided a template of what constitutes an acceptable proposal. Students subsequently make an oral presentation of their proposal to three faculty members including material such as a literature review, identification of key unanswered research questions, proposed work outline, and an oral presentation. Following the presentation, the student is questioned on the research topic and general field of study. The student can pass, pass with qualifications requiring more classes or teaching assistantships, or fail. Students who completed their M.S. in the department prepare and defend their proposal in their third quarter (not counting Summer) as a Ph.D. student. Their adviser may request an additional quarter given extenuating circumstances such as a major change in research focus between M.S. and Ph.D. programs. Students who completed their M.S. outside of the department complete the proposal in their fourth quarter (not counting summer) of study.

Students who have passed the qualification procedure and later wish to change their degree objective from PE to ERE, or vice versa, may petition the graduate standing committee. A switch of degree objective is not automatically granted. Petitions are made in writing and include a brief explanation of the request for a change in degree objective and a plan to make up subject matter deficiencies. At the minimum, students who petition are expected to complete ultimately all courses listed as contributing subject matter to the written exam in the area of their degree objective with a minimum grade of 'B'. The graduate standing committee decides whether petitions have merit and if additional steps are needed to address deficiencies. Such switches in degree objective are considered provisional until all conditions have been met.

### Course Work

The 36 units of course work may include graduate courses in Energy Resources Engineering (numbered 200 and above) and courses chosen from the following list. Other courses may be substituted with prior approval of the adviser. In general, non-technical courses are not approved.

Students who enter directly into the Ph.D. program after receiving an M.S. degree from another university are expected to show expertise in the core courses required for Stanford's M.S. degree in Energy Resources Engineering, either by including those courses in their Ph.D. degree or by showing that they have taken equivalent courses during their M.S. degree.

For a Ph.D. in Energy Resources Engineering, 12 of the 36 required course units must be completed from the following list of courses. If the student has not taken ENERGY 293 Energy storage and conversion: Solar Cells, Fuel Cells, Batteries and Supercapacitors and ENERGY 293B Fundamentals of Energy Processes or their equivalent during the M.S., then these courses must be taken during the Ph.D. (they satisfy 6 of the required 12 units).

Units | ||
---|---|---|

Required to take 12 units from the following list: | ||

ENERGY 104 | Sustainable Energy for 9 Billion | 3 |

ENERGY 253 | Carbon Capture and Sequestration | 3-4 |

ENERGY 269 | Geothermal Reservoir Engineering | 3 |

ENERGY 291 | Optimization of Energy Systems | 3-4 |

ENERGY 293 | Energy storage and conversion: Solar Cells, Fuel Cells, Batteries and Supercapacitors | 3-4 |

ENERGY 293B | Fundamentals of Energy Processes | 3 |

ENERGY 301 | The Energy Seminar | 1 |

CEE 176A | Energy Efficient Buildings | 3-4 |

CEE 176B | 100% Clean, Renewable Energy and Storage for Everything | 3-4 |

CEE 268 | ||

CME 206 | Introduction to Numerical Methods for Engineering | 3 |

CME 302 | Numerical Linear Algebra | 3 |

CME 306 | Numerical Solution of Partial Differential Equations | 3 |

ESS 221/CEE 260C | Contaminant Hydrogeology and Reactive Transport | 3 |

CHEMENG 130 | Separation Processes | 3 |

CHEMENG 340 | Molecular Thermodynamics | 3 |

ECON 250 | Environmental Economics | 2-5 |

ECON 251 | Natural Resource and Energy Economics | 2-5 |

GEOLSCI 253 | Petroleum Geology and Exploration | 3 |

GEOPHYS 182 | Reflection Seismology | 3 |

GEOPHYS 202 | Reservoir Geomechanics | 3 |

GEOPHYS 262 | Rock Physics | 3 |

ME 131A | Heat Transfer | 3 |

ME 250 | Internal Combustion Engines | 3 |

ME 260 | Fuel Cell Science and Technology | 3 |

ME 335A | Finite Element Analysis | 3 |

ME 335B | Finite Element Analysis | 3 |

ME 335C | Finite Element Analysis | 3 |

ME 370A | Energy Systems I: Thermodynamics | 3 |

ME 370B | Energy Systems II: Modeling and Advanced Concepts | 4 |

MATSCI 156 | Solar Cells, Fuel Cells, and Batteries: Materials for the Energy Solution | 3-4 |

MATSCI 316 | Nanoscale Science, Engineering, and Technology | 3 |

## Ph.D. Minor in Petroleum Engineering or Energy Resources Engineering

To be recommended for a Ph.D. degree with Petroleum Engineering or Energy Resources Engineering as a minor subject, a student must take 20 units of graduate-level lecture courses in the department. These courses must include ENERGY 221 Fundamentals of Multiphase Flow and ENERGY 222 Advanced Reservoir Engineering for the Petroleum Engineering minor, or ENERGY 293 Energy storage and conversion: Solar Cells, Fuel Cells, Batteries and Supercapacitors and ENERGY 293B Fundamentals of Energy Processes for the Energy Resources Engineering minor. The remaining courses should be selected from:

Units | ||
---|---|---|

ENERGY 175 | Well Test Analysis | 3 |

ENERGY 223 | Reservoir Simulation | 3-4 |

ENERGY 224 | Advanced Reservoir Simulation | 3 |

ENERGY 225 | Theory of Gas Injection Processes | 3 |

ENERGY 227 | Enhanced Oil Recovery | 3 |

ENERGY 240 | Data science for geoscience | 3 |

ENERGY 241 | Seismic Reservoir Characterization | 3-4 |

ENERGY 251 | Thermodynamics of Equilibria | 3 |

ENERGY 253 | Carbon Capture and Sequestration | 3-4 |

ENERGY 269 | Geothermal Reservoir Engineering | 3 |

ENERGY 280 | Oil and Gas Production Engineering | 3 |

ENERGY 281 | Applied Mathematics in Reservoir Engineering | 3 |

ENERGY 284 | Optimization and Inverse Modeling | 3 |

## Graduate Advising Expectations

The Department of Energy Resources Engineering is committed to providing academic advising in support of graduate student scholarly and professional development. When most effective, this advising relationship entails collaborative and sustained engagement by both the adviser and the advisee. As a best practice, advising expectations should be periodically discussed and reviewed to ensure mutual understanding. Both the adviser and the advisee are expected to maintain professionalism and integrity.

Faculty advisers guide students in key areas such as selecting courses, designing and conducting research, developing of teaching pedagogy, navigating policies and degree requirements, and exploring academic opportunities and professional pathways.

Graduate students are active contributors to the advising relationship, proactively seeking academic and professional guidance and taking responsibility for informing themselves of policies and degree requirements for their graduate program.

For a statement of University policy on graduate advising, see the "Graduate Advising" section of this bulletin.

*Emeriti: (Professors)* Khalid Aziz, John W. Harbaugh, André Journel*, Franklin M. Orr, Jr.

*Chair:* Hamdi Tchelepi

*Professors:* Sally M. Benson, Louis J. Durlofsky, Margot Gerritsen, Roland N. Horne, Anthony R. Kovscek, Daniel M. Tartakovsky, Hamdi Tchelepi

*Associate Professors:* Tapan Mukerji

*Assistant Professors:* Ilenia Battiato, Adam Brandt, Simona Onori

*Courtesy Professors:* Stephan A. Graham, Mark Jacobson

*Professors of Practice: *Richard Sears

*Adjunct Faculty: *Alan Burnham, Louis M. Castanier, Kurt House, Warren K. Kourt, Jonathan Lilien, Robert G. Lindblom, Stuart MacMillan, Kiran Pande, Marco R. Thiele, Denis V. Voskov

*Visiting Professor: *Kozo Sato

* Joint appointment with Geological Sciences

### Courses

**ENERGY 13SC. Energy in Hawaii: Forefront of Clean Energy Technology and Policy. 2 Units.**

We will explore practical, social, technical, and political issues surrounding energy production and use in Hawaii. Hawaii is at the forefront of technical changes in the electric grid and the uses of electricity, with an aspirational goal for 100% carbon-free electricity in 2045. Hawaii also has passed legislation that aspires to 100% fossil-free transportation by 2040. The explosive growth of behind-the-meter solar generation has led to opportunities for the introduction of distributed energy systems (monitoring and measurement, automated controls, and communication), while also increasing issues with grid stability and social equity. Because of these factors, there is a heightened interest nationally from federal agencies, particularly Energy and Defense. We will consider the availability and viability of solar, wind, and geothermal resources, while also considering the economic impact on Hawaii of large-scale importation of oil for generating electricity and transportation. We will consider emerging questions related to the reliability and the resiliency of the grids on different islands in the State. All of these issues will be considered in the technical, societal, cultural, and political milieu which is the unique nature of Hawaii. nnWe will spend the first week on campus learning about energy and Hawaii, then travel to various field sites in Hawaii, including a wind farm, a utility-scale solar farm, an oil-fired power plant, a waste-to-energy facility, solar hot water systems, and neighborhoods with large proportions of rooftop solar and behind the meter battery storage. Other generation resources will also be considered for visits. We will meet with relevant policy experts and public officials from governmental agencies, universities, and public interest groups. The course will conclude with group presentations by the students. Participants will return to Stanford on September 18.

**ENERGY 20N. Technology in the Greenhouse. 3 Units.**

The evidence that human activities are changing the climate is overwhelming. Energy use is woven throughout the fabric of modern societies, and energy systems are also a primary way that humans interact with the global Earth systems like climate. We know enough about the potential impacts of climate change to see that we need to transform the world¿s energy systems to a much cleaner set of technologies with much lower greenhouse gas emissions. Economies that use energy in a clean, cost-effective way will be much more competitive in the future. The clean energy transition is now underway, with reductions in coal use and rapid growth in solar and wind deployment, but there is much more to do to limit the adverse impacts of climate change. This seminar explores technology options available to make the changes needed, in the developed and developing worlds. There is no shortage of energy available for our use. Instead, the challenge is to convert those energy resources into services like electricity and transportation, and that conversion requires technology, as well as policies and markets that enable innovation. The scale of the world¿s energy systems is dauntingly large, and we will need a well-diversified set of options to meet the challenge. Wind, solar, nuclear, carbon capture and storage for fossil fuel use, modified agriculture, electric (and automated) vehicles, advanced air conditioning, and many other technology options exist. We will consider these technologies and ask what barriers will have to be addressed if they are to be deployed at a scale large enough to reduce the impact climate change. The format will be discussions of technologies and their potential with a project and student presentations toward the end of the quarter.

**ENERGY 101. Energy and the Environment. 3 Units.**

Energy use in modern society and the consequences of current and future energy use patterns. Case studies illustrate resource estimation, engineering analysis of energy systems, and options for managing carbon emissions. Focus is on energy definitions, use patterns, resource estimation, pollution. Recommended: MATH 21 or 42.

Same as: EARTHSYS 101

**ENERGY 101A. Energizing California. 1 Unit.**

A weekend field trip featuring renewable and nonrenewable energy installations in Northern California. Tour geothermal, bioenergy, and natural gas field sites with expert guides from the Department of Energy Resources Engineering. Requirements: One campus meeting and weekend field trip. Enrollment limited to 25. Freshman have first choice.

**ENERGY 102. Fundamentals of Renewable Power. 3 Units.**

Do you want a much better understanding of renewable power technologies? Did you know that wind and solar are the fastest growing forms of electricity generation? Are you interested in hearing about the most recent, and future, designs for green power? Do you want to understand what limits power extraction from renewable resources and how current designs could be improved? This course dives deep into these and related issues for wind, solar, biomass, geothermal, tidal and wave power technologies. We welcome all student, from non-majors to MBAs and grad students. If you are potentially interested in an energy or environmental related major, this course is particularly useful. Recommended: MATH 21 or 42.

Same as: EARTHSYS 102

**ENERGY 104. Sustainable Energy for 9 Billion. 3 Units.**

This course explores the transition to a sustainable energy system at large scales (national and global), and over long time periods (decades). Explores the drivers of global energy demand and the fundamentals of technologies that can meet this demand sustainably. Focuses on constraints affecting large-scale deployment of technologies, as well as inertial factors affecting this transition. Problems will involve modeling global energy demand, deployment rates for sustainable technologies, technological learning and economics of technical change. Recommended: ENERGY 101, 102.

**ENERGY 110. Engineering Economics. 3 Units.**

The success of energy projects and companies is judged by technical, economic and financial criteria. This course will introduce concepts of engineering economy, e.g., time value of money, life cycle costs and financial metrics, and explore their application to the business of energy. We will use case studies, business school cases and possibly industry guest lecturers. Examples from the hydrocarbon businesses that dominate energy today will provide the framework for the analysis of both conventional and renewable energy.

**ENERGY 112. Exploring Geosciences with MATLAB. 1-3 Unit.**

How to use MATLAB as a tool for research and technical computing, including 2-D and 3-D visualization features, numerical capabilities, and toolboxes. Practical skills in areas such as data analysis, regressions, optimization, spectral analysis, differential equations, image analysis, computational statistics, and Monte Carlo simulations. Emphasis is on scientific and engineering applications. Offered every year, autumn quarter.

Same as: GEOPHYS 112

**ENERGY 118. Safety and Environmental Aspects of Oil and Gas Production. 3 Units.**

This course introduces safety, environmental and regulatory aspects of oil and gas development and production. Students will learn about personal and process safety management in oil and gas, as well as major State and Federal laws and regulatory programs governing oil and gas in the US. Lectures will introduce and explain concepts of safety, regulation, environment and sustainability, further illustrated through discussion of case studies from the global oil and gas industry. Parallels with renewable energy will be discussed.

Same as: ENERGY 218

**ENERGY 120. Fundamentals of Petroleum Engineering. 3 Units.**

Lectures, problems, field trip. Engineering topics in petroleum recovery; origin, discovery, and development of oil and gas. Chemical, physical, and thermodynamic properties of oil and natural gas. Material balance equations and reserve estimates using volumetric calculations. Gas laws. Single phase and multiphase flow through porous media.

Same as: ENGR 120

**ENERGY 120A. Flow Through Porous Media Laboratory. 1 Unit.**

Laboratory measurements of permeability and porosity in rocks. Applications to subsurface fluid mechanics. Course is intended as an accompaniment to ENERGY 120.

**ENERGY 121. Fundamentals of Multiphase Flow. 3 Units.**

Multiphase flow in porous media. Wettability, capillary pressure, imbibition and drainage, Leverett J-function, transition zone, vertical equilibrium. Relative permeabilities, Darcy's law for multiphase flow, fractional flow equation, effects of gravity, Buckley-Leverett theory, recovery predictions, volumetric linear scaling, JBN and Jones-Rozelle determination of relative permeability. Frontal advance equation, Buckley-Leverett equation as frontal advance solution, tracers in multiphase flow, adsorption, three-phase relative permeabilities.

Same as: ENERGY 221

**ENERGY 122. Lunch with Numerics. 1 Unit.**

This course provides students hands-on experience in the design and implementationnof numerical methods for challenging fluid flow problems in the earth sciences.nThe base software used it the public domain code MRST. Students will explorencommon pitfalls of well-known numerical approaches, assess effectivenessnof numerical methods for heterogeneous and strongly nonlinear problems andngain more insight into numerical accuracy and stability concepts.

**ENERGY 123. When Technology Meets Reality; An In-depth Look at the Deepwater Horizon Blowout and Oil Spill. 1 Unit.**

The Deepwater Horizon blowout and spill in April 2010 occurred on one of the most advanced deepwater drilling rigs in the world operated by one of the most experienced companies. In this course we will look at and discuss the technologies and management practices involved in deepwater drilling and discuss how an accident like this happens and what could have been done differently to avoid it. We will focus on the Horizon and also look briefly at other high profile industrial and technological accidents.

**ENERGY 130. Well Log Analysis I. 3 Units.**

For earth scientists and engineers. Interdisciplinary, providing a practical understanding of the interpretation of well logs. Lectures, problem sets using real field examples: methods for evaluating the presence of hydrocarbons in rock formations penetrated by exploratory and development drilling. The fundamentals of all types of logs, including electric and non-electric logs.

**ENERGY 141. Seismic Reservoir Characterization. 3-4 Units.**

(Same as GP241) Practical methods for quantitative characterization and uncertainty assessment of subsurface reservoir models integrating well-log and seismic data. Multidisciplinary combination of rock-physics, seismic attributes, sedimentological information and spatial statistical modeling techniques. Student teams build reservoir models using limited well data and seismic attributes typically available in practice, comparing alternative approaches. Software provided (SGEMS, Petrel, Matlab). Offered every other year.nRecommended: ERE240/260, or GP222/223, or GP260/262 or GES253/257; ERE246, GP112.

Same as: ENERGY 241, GEOPHYS 241A

**ENERGY 146. Reservoir Characterization and Flow Modeling with Outcrop Data. 3 Units.**

Course gives an overview of concepts from geology and geophysics relevant for building subsurface reservoir models. Includes a required 1-day field trip and hands-on lab exercises. Target audience: MS and 1st year PhD students in PE/ERE/GS with little or no background in geology or geophysics. Topics include: basin and petroleum systems, depositional settings, deformation and diagenesis, introduction to reflection seismic data, rock and fluid property measurements, geostatistics, and flow in porous media.

Same as: ENERGY 246, GEOLSCI 246

**ENERGY 153. Carbon Capture and Sequestration. 3-4 Units.**

CO2 separation from syngas and flue gas for gasification and combustion processes. Transportation of CO2 in pipelines and sequestration in deep underground geological formations. Pipeline specifications, monitoring, safety engineering, and costs for long distance transport of CO2. Comparison of options for geological sequestration in oil and gas reservoirs, deep unmineable coal beds, and saline aquifers. Life cycle analysis.

Same as: ENERGY 253

**ENERGY 155. Undergraduate Report on Energy Industry Training. 1-3 Unit.**

On-the-job practical training under the guidance of on-site supervisors. Required report detailing work activities, problems, assignments and key results. Prerequisite: written consent of instructor.

**ENERGY 158. Bringing New Energy Technologies to Market: Optimizing Technology Push and Market Pull. 3 Units.**

This research-based seminar will evaluate the impact of market interventions in commercializing four segments of our energy mix: wind, photovoltaics, lighting, and batteries. To accelerate the development of new technologies to reduce greenhouse gas emissions and improve national security, governments use policies like direct R&D funding, financial incentives or penalties, mandatory targets or caps, and performance standards to create market conditions that favor emerging technologies. Findings outlining the most effective mix of interventions over time will be submitted for publication.nEnrollment limited to 12 graduate and co-term students. Those interested please email a paragraph to cathyzoi@stanford.edu by September 16, 2013 expressing why you want to take part and research experience you can bring to the seminar.

**ENERGY 160. Uncertainty Quantification in Data-Centric Simulations. 3 Units.**

This course provides a brief survey of mathematical methods for uncertainty quantification. It highlights various issues, techniques and practical tools available for modeling uncertainty in quantitative models of complex dynamic systems. Specific topics include basic concepts in probability and statistics, spatial statistics (geostatistics and machine learning), Monte Carlo simulations, global and local sensitivity analyses, surrogate models, and computational alternatives to Monte Carlo simulations (e.g., quasi-MC, moment equations, the method of distributions, polynomial chaos expansions). Prerequisites: algebra (CME 104 or equivalent), introductory statistics course (CME 106 or equivalent).

Same as: ENERGY 260

**ENERGY 167. Engineering Valuation and Appraisal of Oil and Gas Wells, Facilities, and Properties. 3 Units.**

Appraisal of development and remedial work on oil and gas wells; appraisal of producing properties; estimation of productive capacity, reserves; operating costs, depletion, and depreciation; value of future profits, taxation, fair market value; original or guided research problems on economic topics with report. Prerequisite: consent of instructor.

Same as: ENERGY 267

**ENERGY 171. Energy Infrastructure, Technology and Economics. 3 Units.**

Oil and gas represents more than 50% of global primary energy. In delivering energy at scale, the industry has developed global infrastructure with supporting technology that gives it enormous advantages in energy markets; this course explores how the oil and gas industry operates. From the perspective of these established systems and technologies, we will look at the complexity of energy systems, and will consider how installed infrastructure enables technology development and deployment, impacts energy supply, and how existing infrastructure and capital invested in fossil energy impacts renewable energy development. Prerequisites: ENERGY 101 and 102 or permission of instructor.

Same as: ENERGY 271

**ENERGY 175. Well Test Analysis. 3 Units.**

Lectures, problems. Application of solutions of unsteady flow in porous media to transient pressure analysis of oil, gas, water, and geothermal wells. Pressure buildup analysis and drawdown. Design of well tests. Computer-aided interpretation.

**ENERGY 180. Oil and Gas Production Engineering. 3 Units.**

Design and analysis of production systems for oil and gas reservoirs. Topics: well completion, single-phase and multi-phase flow in wells and gathering systems, artificial lift and field processing, well stimulation, inflow performance. Prerequisite: 120.

Same as: ENERGY 280

**ENERGY 191. Optimization of Energy Systems. 3-4 Units.**

Introductory mathematical programming and optimization using examples from energy industries. Emphasis on problem formulation and solving, secondary coverage of algorithms. Problem topics include optimization of energy investment, production, and transportation; uncertain and intermittent energy resources; energy storage; efficient energy production and conversion. Methods include linear and nonlinear optimization, as well as multi-objective and goal programming. Tools include Microsoft Excel and AMPL mathematical programming language. Prerequisites: MATH 20, 41, or MATH 51, or consent of instructor. Programming experience helpful (e.g,, CS 106A, CS 106B).

Same as: ENERGY 291

**ENERGY 192. Undergraduate Teaching Experience. 1-3 Unit.**

Leading field trips, preparing lecture notes, quizzes under supervision of the instructor. May be repeated for credit.

**ENERGY 193. Undergraduate Research Problems. 1-3 Unit.**

Original and guided research problems with comprehensive report. May be repeated for credit.

**ENERGY 194. Special Topics in Energy and Mineral Fluids. 1-3 Unit.**

May be repeated for credit.

**ENERGY 199. Senior Project and Seminar in Energy Resources. 3-4 Units.**

Individual or group capstone project in Energy Resources Engineering. Emphasis is on report preparation. May be repeated for credit.

**ENERGY 201. Laboratory Measurement of Reservoir Rock Properties. 3 Units.**

In this course, students will learn methods for measuring reservoir rock properties. Techniques covered include core preservation and sample preparation; Rock petrography; Interfacial tension of fluids; Measurement of contact angles of fluids on reservoir media; Capillary pressure measurement and interpretation; Absolute and effective porosities; Absolute permeability; Multiphase flow including relative permeability and residual saturation. The class will be 1 3-hour lecture/lab per week, with readings and weekly assignments. A field trip to a professional core characterization lab may be included.

**ENERGY 203. Stanford Energy Ventures. 1-3 Unit.**

Solving the global energy challenge will require the creation and successful scale-up of hundreds of new ventures. This project-based course provides a launchpad for the development and creation of transformational energy ventures and innovation models. Interdisciplinary teams will research, analyze, and develop detailed launch plans for high-impact opportunities in the context of the new energy venture development framework offered in this course.

**ENERGY 204. Achieving Universal Energy Access by 2030: Can it be done?. 2-3 Units.**

Today 1.2 billion people have no access to electricity; many more don't have power that is reliable. Activities the developed world counts on for economic growth are severely limited where there isn't reliable electricity. Cost reductions in distributed, renewable energy generation and battery storage technologies are creating opportunities to bring affordable power to communities that have never had it. This course will examine what will need to be in place so that electricity can reach everyone by 2030.

**ENERGY 212. Environmental Aspects of Oil and Gas Production. 1 Unit.**

This course introduces students to the major environmental aspects of oil and gas production, including law, policy, regulation, impact assessment, and mitigation. Through readings, lectures, homework, in-class activities, and case studies, students learn about the major state/federal laws and regulatory programs governing oil and gas in the U.S., industry permitting and compliance strategies, and current public stakeholder issues/challenges (with a particular focus on climate change and water management). Emerging legislative/regulatory trends, advocacy approaches, and sustainability concepts also are explored.

**ENERGY 214. The Global Price of Oil. 2 Units.**

Understanding the current and future price of oil requires the synthesis of geologic, engineering, financial, geopolitical, and macroeconomic information. In this seminar, we will build a global supply curve for petroleum by studying the marginal and full-cycle production costs for each of the major resource categories. We will study how reserve classification varies globally, and how global petroleum resources and reserves have changed and are likely to change over time. We will further investigate how the time lag between resource discovery, project sanctioning, and full production will affect future supply. Finally, we will study the elasticity of oil demand and how that demand is likely to change over time as the developing world gets richer and as competition from other energy sources increases.

**ENERGY 216. Entrepreneurship in Energy. 2 Units.**

The combined forces of climate change, technological development, and geopolitics are disrupting the energy industry, yet the competitiveness and regulated nature of the mature markets for fuel, power, and materials have created meaningful barriers to entry for startup companies. In this case based course, students will study real energy startups to understand what challenges they have overcome and continue to face. Each week, the course will focus on a different company and the founder or CEO of that company will present. Topics will include advanced battery technologies, photovoltaic manufacturing, solar and wind project development, oil & gas exploration & production, advanced biofuels, electric vehicles, distributed power generation, and financing energy startups.

**ENERGY 217. Research Seminar: Energy Development in the Emerging Economy. 2-3 Units.**

Through this research project, students will dive into and gain firsthand experience on evaluating the efficacy of a portfolio of 34 energy technology start-up projects in emerging economies that encompasses a range of regions, energy sectors, and technologies. Student's will learn from each project's unique experiences, and gather critical data that may help support the success of future similar endeavors. Some questions students will be looking to answer include (1) Was the project able to accomplish its goal(s)? (2) Are there common success factors or similar roadblocks? (3) Is the technology and/or solution still effective and operational?nPrerequisite: submit survey https://precourt.typeform.com/to/NdtU0Z and permission of instructor.

**ENERGY 218. Safety and Environmental Aspects of Oil and Gas Production. 3 Units.**

This course introduces safety, environmental and regulatory aspects of oil and gas development and production. Students will learn about personal and process safety management in oil and gas, as well as major State and Federal laws and regulatory programs governing oil and gas in the US. Lectures will introduce and explain concepts of safety, regulation, environment and sustainability, further illustrated through discussion of case studies from the global oil and gas industry. Parallels with renewable energy will be discussed.

Same as: ENERGY 118

**ENERGY 221. Fundamentals of Multiphase Flow. 3 Units.**

Multiphase flow in porous media. Wettability, capillary pressure, imbibition and drainage, Leverett J-function, transition zone, vertical equilibrium. Relative permeabilities, Darcy's law for multiphase flow, fractional flow equation, effects of gravity, Buckley-Leverett theory, recovery predictions, volumetric linear scaling, JBN and Jones-Rozelle determination of relative permeability. Frontal advance equation, Buckley-Leverett equation as frontal advance solution, tracers in multiphase flow, adsorption, three-phase relative permeabilities.

Same as: ENERGY 121

**ENERGY 222. Advanced Reservoir Engineering. 3 Units.**

Lectures, problems. General flow equations, tensor permeabilities, steady state radial flow, skin, and succession of steady states. Injectivity during fill-up of a depleted reservoir, injectivity for liquid-filled reservoirs. Flow potential and gravity forces, coning. Displacements in layered reservoirs. Transient radial flow equation, primary drainage of a cylindrical reservoir, line source solution, pseudo-steady state. May be repeated for credit. Prerequisite: 221.

**ENERGY 223. Reservoir Simulation. 3-4 Units.**

Fundamentals of petroleum reservoir simulation. Equations for multicomponent, multiphase flow between gridblocks comprising a petroleum reservoir. Relationships between black-oil and compositional models. Techniques for developing black-oil, compositional, thermal, and dual-porosity models. Practical considerations in the use of simulators for predicting reservoir performance. Class project. Prerequisite: 221 and 246, or consent of instructor. Recommended: CME 206.

**ENERGY 224. Advanced Reservoir Simulation. 3 Units.**

Topics include modeling of complex wells, coupling of surface facilities, compositional modeling, dual porosity models, treatment of full tensor permeability and grid nonorthogonality, local grid refinement, higher order methods, streamline simulation, upscaling, algebraic multigrid solvers, unstructured grid solvers, history matching, other selected topics. Prerequisite: 223 or consent of instructor. May be repeated for credit.

**ENERGY 225. Theory of Gas Injection Processes. 3 Units.**

Lectures, problems. Theory of multicomponent, multiphase flow in porous media. Miscible displacement: diffusion and dispersion, convection-dispersion equations and its solutions. Method of characteristic calculations of chromatographic transport of multicomponent mixtures. Development of miscibility and interaction of phase behavior with heterogeneity. May be repeated for credit. Prerequisite: CME 200.

**ENERGY 226. Thermal Recovery Methods. 3 Units.**

Theory and practice of thermal recovery methods: steam drive, cyclic steam injections, and in situ combustion. Models of combined mass and energy transport. Estimates of heated reservoir volume and oil recovery performance. Wellbore heat losses, recovery production, and field examples.

**ENERGY 227. Enhanced Oil Recovery. 3 Units.**

The physics, theories, and methods of evaluating chemical, miscible, and thermal enhanced oil recovery projects. Existing methods and screening techniques, and analytical and simulation based means of evaluating project effectiveness. Dispersion-convection-adsorption equations, coupled heat, and mass balances and phase behavior provide requisite building blocks for evaluation.

**ENERGY 230. Advanced Topics in Well Logging. 3 Units.**

State of the art tools and analyses; the technology, rock physical basis, and applications of each measurement. Hands-on computer-based analyses illustrate instructional material. Guest speakers on formation evaluation topics. Prerequisites: 130 or equivalent; basic well logging; and standard practice and application of electric well logs.

**ENERGY 240. Data science for geoscience. 3 Units.**

Overview of some of the most important data science methods (statistics, machine learning & computer vision) relevant for geological sciences, as well as other fields in the Earth Sciences. Areas covered are: extreme value statistics for predicting rare events; compositional data analysis for geochemistry; multivariate analysis for designing data & computer experiments; probabilistic aggregation of evidence for spatial mapping; functional data analysis for multivariate environmental datasets, spatial regression and modeling spatial uncertainty with covariate information (geostatistics). Identification & learning of geo-objects with computer vision. Focus on practicality rather than theory. Matlab exercises on realistic data problems.

Same as: GEOLSCI 240

**ENERGY 241. Seismic Reservoir Characterization. 3-4 Units.**

(Same as GP241) Practical methods for quantitative characterization and uncertainty assessment of subsurface reservoir models integrating well-log and seismic data. Multidisciplinary combination of rock-physics, seismic attributes, sedimentological information and spatial statistical modeling techniques. Student teams build reservoir models using limited well data and seismic attributes typically available in practice, comparing alternative approaches. Software provided (SGEMS, Petrel, Matlab). Offered every other year.nRecommended: ERE240/260, or GP222/223, or GP260/262 or GES253/257; ERE246, GP112.

Same as: ENERGY 141, GEOPHYS 241A

**ENERGY 242. Topics in Advanced Geostatistics. 3-4 Units.**

Conditional expectation theory and projections in Hilbert spaces; parametric versus non-parametric geostatistics; Boolean, Gaussian, fractal, indicator, and annealing approaches to stochastic imaging; multiple point statistics inference and reproduction; neural net geostatistics; Bayesian methods for data integration; techniques for upscaling hydrodynamic properties. May be repeated for credit. Prerequisites: 240, advanced calculus, C++/Fortran.

Same as: ESS 263

**ENERGY 246. Reservoir Characterization and Flow Modeling with Outcrop Data. 3 Units.**

Course gives an overview of concepts from geology and geophysics relevant for building subsurface reservoir models. Includes a required 1-day field trip and hands-on lab exercises. Target audience: MS and 1st year PhD students in PE/ERE/GS with little or no background in geology or geophysics. Topics include: basin and petroleum systems, depositional settings, deformation and diagenesis, introduction to reflection seismic data, rock and fluid property measurements, geostatistics, and flow in porous media.

Same as: ENERGY 146, GEOLSCI 246

**ENERGY 247. Stochastic Simulation. 3 Units.**

Characterization and inference of statistical properties of spatial random function models; how they average over volumes, expected fluctuations, and implementation issues. Models include point processes (Cox, Poisson), random sets (Boolean, truncated Gaussian), and mixture of Gaussian random functions. Prerequisite: 240.

**ENERGY 251. Thermodynamics of Equilibria. 3 Units.**

Lectures, problems. The volumetric behavior of fluids at high pressure. Equation of state representation of volumetric behavior. Thermodynamic functions and conditions of equilibrium, Gibbs and Helmholtz energy, chemical potential, fugacity. Phase diagrams for binary and multicomponent systems. Calculation of phase compositions from volumetric behavior for multicomponent mixtures. Experimental techniques for phase-equilibrium measurements. May be repeated for credit.

**ENERGY 253. Carbon Capture and Sequestration. 3-4 Units.**

CO2 separation from syngas and flue gas for gasification and combustion processes. Transportation of CO2 in pipelines and sequestration in deep underground geological formations. Pipeline specifications, monitoring, safety engineering, and costs for long distance transport of CO2. Comparison of options for geological sequestration in oil and gas reservoirs, deep unmineable coal beds, and saline aquifers. Life cycle analysis.

Same as: ENERGY 153

**ENERGY 255. Master's Report on Energy Industry Training. 1-3 Unit.**

On-the-job training for master's degree students under the guidance of on-site supervisors. Students submit a report detailing work activities, problems, assignments, and key results. May be repeated for credit. Prerequisite: consent of adviser.

**ENERGY 259. Presentation Skills. 1 Unit.**

For teaching assistants in Energy Resources Engineering. Five two-hour sessions in the first half of the quarter. Awareness of different learning styles, grading philosophies, fair and efficient grading, text design; presentation and teaching skills, PowerPoint slide design; presentation practice in small groups. Taught in collaboration with the Center for Teaching and Learning.

**ENERGY 260. Uncertainty Quantification in Data-Centric Simulations. 3 Units.**

This course provides a brief survey of mathematical methods for uncertainty quantification. It highlights various issues, techniques and practical tools available for modeling uncertainty in quantitative models of complex dynamic systems. Specific topics include basic concepts in probability and statistics, spatial statistics (geostatistics and machine learning), Monte Carlo simulations, global and local sensitivity analyses, surrogate models, and computational alternatives to Monte Carlo simulations (e.g., quasi-MC, moment equations, the method of distributions, polynomial chaos expansions). Prerequisites: algebra (CME 104 or equivalent), introductory statistics course (CME 106 or equivalent).

Same as: ENERGY 160

**ENERGY 262. Physics of Wind Energy. 3 Units.**

Formerly CEE 261. An introduction to the analysis and modeling of wind energy resources and their extraction. Topics include the physical origins of atmospheric winds; vertical profiles of wind speed and turbulence over land and sea; the wind energy spectrum and its modification by natural topography and built environments; theoretical limits on wind energy extraction by wind turbines and wind farms; modeling of wind turbine aerodynamics and wind farm performance. Final project will focus on development of a new wind energy technology concept. Prerequisites: CEE 262A or ME 351A.

Same as: CEE 261B, ME 262

**ENERGY 266. Town Hall Meeting. 1 Unit.**

This course will offer students the opportunity to structure and present a simulated public meeting on a current topic involving energy production and its effects on a local community. Students will choose a topic and develop a town hall meeting event that reflects the range of concerns of public, corporate, and regulatory stakeholders. The meeting will be presented on campus to the Stanford Community and the general public. Students will have the opportunity to hone their skills in delivering persuasive oral arguments, critical thinking, and leadership.

Same as: Simulated

**ENERGY 267. Engineering Valuation and Appraisal of Oil and Gas Wells, Facilities, and Properties. 3 Units.**

Appraisal of development and remedial work on oil and gas wells; appraisal of producing properties; estimation of productive capacity, reserves; operating costs, depletion, and depreciation; value of future profits, taxation, fair market value; original or guided research problems on economic topics with report. Prerequisite: consent of instructor.

Same as: ENERGY 167

**ENERGY 269. Geothermal Reservoir Engineering. 3 Units.**

Conceptual models of heat and mass flows within geothermal reservoirs. The fundamentals of fluid/heat flow in porous media; convective/conductive regimes, dispersion of solutes, reactions in porous media, stability of fluid interfaces, liquid and vapor flows. Interpretation of geochemical, geological, and well data to determine reservoir properties/characteristics. Geothermal plants and the integrated geothermal system.

**ENERGY 271. Energy Infrastructure, Technology and Economics. 3 Units.**

Oil and gas represents more than 50% of global primary energy. In delivering energy at scale, the industry has developed global infrastructure with supporting technology that gives it enormous advantages in energy markets; this course explores how the oil and gas industry operates. From the perspective of these established systems and technologies, we will look at the complexity of energy systems, and will consider how installed infrastructure enables technology development and deployment, impacts energy supply, and how existing infrastructure and capital invested in fossil energy impacts renewable energy development. Prerequisites: ENERGY 101 and 102 or permission of instructor.

Same as: ENERGY 171

**ENERGY 273. Special Topics in Energy Resources Engineering. 1-3 Unit.**

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**ENERGY 274. Complex Analysis for Practical Engineering. 3 Units.**

Complex analysis is closely related to potential theory, appearing in a variety of engineering disciplines, including flow dynamics, electrostatics, heat conduction and gravity fields. This course is devoted to explaining the fundamentals of complex analysis and instructing on how to develop mathematical tools to solve engineering problems in potential theory. Individual topics are lectured with motivating problems, so that students can understand why these subjects need to be covered and how these are applied to practical engineering problems.

**ENERGY 275. Quantitative Methods in Basin and Petroleum System Modeling. 1-3 Unit.**

Examine the physical processes operating in sedimentary basins by deriving the basic equations of fundamental, coupled geologic processes such as fluid flow and heat flow, deposition, compaction, mass conservation, and chemical reactions. Through hands-on computational exercises and instructor-provided "recipes," students will deconstruct the black box of basin modeling software. Students write their own codes (Matlab) as well as gain expertise in modern finite-element modeling software (PetroMod, COMSOL).

Same as: GEOLSCI 256

**ENERGY 280. Oil and Gas Production Engineering. 3 Units.**

Design and analysis of production systems for oil and gas reservoirs. Topics: well completion, single-phase and multi-phase flow in wells and gathering systems, artificial lift and field processing, well stimulation, inflow performance. Prerequisite: 120.

Same as: ENERGY 180

**ENERGY 281. Applied Mathematics in Reservoir Engineering. 3 Units.**

The philosophy of the solution of engineering problems. Methods of solution of partial differential equations: Laplace transforms, Fourier transforms, wavelet transforms, Green's functions, and boundary element methods. Prerequisites: CME 204 or MATH 131, and consent of instructor.

**ENERGY 282. Chemical Kinetics and Basin Modeling. 2-3 Units.**

Students will explore the structure of sedimentary organic matter and the chemical and thermodynamic requirements for generating petroleum. A wide variety of thermal maturity indicators will be explored, paying particular attention to optical indicators and predictive kinetics of Tmax and %Ro. Students will understand the advantages and pitfalls of kinetic measurements in the lab. Hands-on exercises reinforce learning targets. An optional class project allows students to take the class for 3 units instead of 2. Course readings come from the literature and Burnham's textbook.

Same as: GEOLSCI 216

**ENERGY 284. Optimization and Inverse Modeling. 3 Units.**

Treatment of deterministic and stochastic optimization, gradient-based optimization, polytopy method, generalized least squares, non-linear least squares and confidence intervals by numerical methods and bootstrap. Adjoint method for gradient calculation. Genetic algorithms and simulated annealing. Development of proxy functions using regression techniques and neural networks. Application of optimization methods to solving non-linear inverse problems. Baysian method, rejection sampling, metropolis sampling, uncertainty quantification. Parameterization of high-dimensional problems through various expansion techniques. Examples of various Earth sciences inverse problems including flow and wave equations.nnRequirements: CME 106 and 200 (or equivalent courses).

**ENERGY 285A. SUPRI-A Research Seminar: Enhanced Oil Recovery. 1 Unit.**

Focused study in research areas within the department. Graduate students may participate in advanced work in areas of particular interest prior to making a final decision on a thesis subject. Current research in the SUPRI-A group. May be repeated for credit. Prerequisite: consent of instructor.

**ENERGY 285B. SUPRI-B Research Seminar: Reservoir Simulation. 1 Unit.**

Focused study in research areas within the department. Graduate students may participate in advanced work in areas of particular interest prior to making a final decision on a thesis subject. Current research in SUPRI-B (reservoir simulation) program. May be repeated for credit. Prerequisite: consent of instructor.

**ENERGY 285C. SUPRI-C Research Seminar: Gas Injection Processes. 1 Unit.**

Study in research areas within the department. Graduate students may participate in advanced work in areas of particular interest prior to making a final decision on a thesis subject. Current research in the SUPRI-D well test analysis group. May be repeated for credit. Prerequisite: consent of instructor.

**ENERGY 285D. SUPRI-D Research Seminar: Well Test Analysis. 1 Unit.**

Study in research areas within the department. Graduate students may participate in advanced work in areas of particular interest prior to making a final decision on a thesis subject. Current research in the SUPRI-D well test analysis group. May be repeaqted for credit. Prerequisite: consent of instructor. (Horne).

**ENERGY 285F. SCRF Research Seminar: Geostatistics and Reservoir Forecasting. 1 Unit.**

Study in research areas within the department. Graduate students may participate in advanced work in areas of particular interest prior to making a final decision on a thesis subject. Current research in the SCRF (Stanford Center for Reservoir Forecasting) program. Prerequisite: consent of instructor.

**ENERGY 285G. Geothermal Reservoir Engineering Research Seminar. 1 Unit.**

Study in research areas within the department. Graduate students may participate in advanced work in areas of particular interest prior to making a final decision on a thesis subject. Current research in the geothermal energy group. Presentation required for credit. Prerequisite: consent of instructor.

**ENERGY 285S. Smart Fields Research Seminar: Horizontal Well Technology. 1 Unit.**

Study in research areas within the department. Graduate students may participate in advanced work in areas of particular interest prior to making a final decision on a thesis subject. Current research in Smart Fields (productivity and injectivity of horizontal wells) program. Prerequisite: consent of instructor.

**ENERGY 289. Multiscale Methods for Transport in Porous Media. 3 Units.**

The concept of "tyranny of scales" in natural/engineered porous media refers to the disparity of temporal and spatial scales at which mass, momentum, and energy transport is best understood and at which predictions are needed for practical applications. Modeling approaches that incorporate process understanding at different temporal and spatial scales are often necessary to improve our predictive capabilities of natural and engineered porous media.nThe course focuses on the fundamental understanding of multiscale systems and corresponding modeling tools to analyze them.

**ENERGY 290. Numerical Modeling of Fluid Flow in Heterogeneous Porous Media. 3 Units.**

How to mathematically model and solve elliptic partial differential equations with variable and discontinuous coefficients describing flow in highly heterogeneous porous media. Topics include finite difference and finite volume approaches on structured grids, efficient solvers for the resulting system of equations, Krylov space methods, preconditioning, multi-grid solvers, grid adaptivity and adaptivity criteria, multiscale approaches, and effects of anistropy on solver efficiency and accuracy. MATLAB programming and application of commercial or public domain simulation packages. Prerequisite: CME 200, 201, and 202, or equivalents with consent of instructor.

**ENERGY 291. Optimization of Energy Systems. 3-4 Units.**

Introductory mathematical programming and optimization using examples from energy industries. Emphasis on problem formulation and solving, secondary coverage of algorithms. Problem topics include optimization of energy investment, production, and transportation; uncertain and intermittent energy resources; energy storage; efficient energy production and conversion. Methods include linear and nonlinear optimization, as well as multi-objective and goal programming. Tools include Microsoft Excel and AMPL mathematical programming language. Prerequisites: MATH 20, 41, or MATH 51, or consent of instructor. Programming experience helpful (e.g,, CS 106A, CS 106B).

Same as: ENERGY 191

**ENERGY 293. Energy storage and conversion: Solar Cells, Fuel Cells, Batteries and Supercapacitors. 3-4 Units.**

This course provides an introduction and engineering exposure to energy storage and conversion systems and will cover the basic physics, chemistry and electrochemistry of solar cells, fuel cells, batteries and supercapacitors, state of the art of such technologies and recent developments. The course will also cover experimental methods and modeling tools for simulation and optimization aimed at characterizing efficiency and performance issues. Prerequisites: Equivalent coursework in thermodynamics, electronic properties, chemical principles, electricity, and magnetism.

Same as: EE 293

**ENERGY 293B. Fundamentals of Energy Processes. 3 Units.**

For seniors and graduate students. Covers scientific and engineering fundamentals of renewable energy processes involving heat. Thermodynamics, heat engines, solar thermal, geothermal, biomass. Recommended: MATH 19-21; PHYSICS 41, 43, 45.

Same as: EE 293B

**ENERGY 293C. Energy from Wind and Water Currents. 3 Units.**

This course focuses on the extraction of energy from wind, waves and tides.nThe emphasis in the course is technical leading to a solid understanding ofnestablished extraction systems and discussion of promising new technologies.nWe will also cover resource planning and production optimization through observations and computer simulations.nThe course includes at least one weekend field trip, and may include experimentsnin wind tunnel and/or flume.nnPrerequisites: CEE176B or EE293B, programming experience, understanding of fluid mechanics, electrical systems, and engineering optimization.

**ENERGY 295. Electrochemical Energy Storage Systems: Modeling and Estimation. 3 Units.**

The course focuses on modeling and estimation methods as necessary tools to extract the full potential from Lithium-ion batteries, specifically used in electrified vehicles. The complex nature of a battery system requires that a physics-based approach, in the form of electrochemical models, be used as a modeling platform to develop system-level control algorithms to allow designer to maximize batteries performance and longevity while guaranteeing safety operations. In this course, we will cover 1) first-principles methods to model battery dynamics, 2) electrochemical and control-oriented models, 3) parameter identification problems, 4) estimation algorithms for real-time application. A formal exposure to state space analysis and estimation of dynamical systems will be given. Previously ENERGY 294. Prerequisites: Equivalent coursework in linear systems and control.

**ENERGY 297. Fluid Mechanics and Heat Transfer. 3 Units.**

Energy systems are multiphysics and multiscale in nature. This course addresses the quantitative understanding of fundamental physical processes that govern fluid flow and mass/heat transfer processes, critical to many energy systems. The course will cover conservation laws describing the dynamics of single phase flows, relevant to energy applications including, but not limited to, laminar flow solutions in pipes and ducts, Stokes flows (relevant to flow in porous media), potential and boundary layer flow theories (relevant to wind energy), heat and mass transport (relevant to geothermal and energy storage systems, reactive transport in the subsurface, CO2 sequestration). Although motivated by specific applications in the energy landscape, the course will be focused on fundamental principles and mathematical techniques to understand the basic physics underlying flow and transport processes.

**ENERGY 300. Graduate Directed Reading. 1-7 Unit.**

Independent studies under the direction of a faculty member for which academic credit may properly be allowed.

**ENERGY 301. The Energy Seminar. 1 Unit.**

Interdisciplinary exploration of current energy challenges and opportunities, with talks by faculty, visitors, and students. May be repeated for credit.

Same as: CEE 301, MS&E 494

**ENERGY 351. ERE Master's Graduate Seminar. 1 Unit.**

Current research topics. Presentations by guest speakers from Stanford and elsewhere. May be repeated for credit.

**ENERGY 352. ERE PhD Graduate Seminar. 1 Unit.**

Current research topics. Presentations by guest speakers from Stanford and elsewhere. May be repeated for credit.

**ENERGY 355. Doctoral Report on Energy Industry Training. 1-3 Unit.**

On-the-job training for doctoral students under the guidance of on-site supervisors. Students submit a report on work activities, problems, assignments, and results. May be repeated for credit. Prerequisite: consent of adviser.

**ENERGY 359. Teaching Experience in Energy Resources Engineering. 1 Unit.**

For TAs in Energy Resources Engineering. Course and lecture design and preparation; lecturing practice in small groups. Classroom teaching practice in an Energy Resources Engineering course for which the participant is the TA (may be in a later quarter). Taught in collaboration with the Center for Teaching and Learning.

**ENERGY 360. Advanced Research Work in Energy Resources Engineering. 1-10 Unit.**

Graduate-level work in experimental, computational, or theoretical research. Special research not included in graduate degree program. May be repeated for credit.

**ENERGY 361. Master's Degree Research in Energy Resources Engineering. 1-6 Unit.**

Experimental, computational, or theoretical research. Advanced technical report writing. Limited to 6 units total.nn (Staff).

**ENERGY 362. Engineer's Degree Research in Energy Resources Engineering. 1-10 Unit.**

Graduate-level work in experimental, computational, or theoretical research for Engineer students. Advanced technical report writing. Limited to 15 units total, or 9 units total if 6 units of 361 were previously credited.

**ENERGY 363. Doctoral Degree Research in Energy Resources Engineering. 1-10 Unit.**

Graduate-level work in experimental, computational, or theoretical research for Ph.D. students. Advanced technical report writing.

**ENERGY 365. Special Research Topics in Energy Resources Engineering. 1-15 Unit.**

Graduate-level research work not related to report, thesis, or dissertation. May be repeated for credit.

**ENERGY 369. Practical Energy Studies. 1-3 Unit.**

Students work on realistic industrial reservoir engineering problems. Focus is on optimization of production scenarios using secondary or tertiary recovery techniques. When possible, projects are conducted in direct collaboration with industry. May be repeated for credit.

**ENERGY 801. TGR Project. 0 Units.**

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**ENERGY 802. TGR Dissertation. 0 Units.**

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