# Energy Resources Engineering

## Contacts

Office: GESB 065

Mail Code: 94305-2220

Phone: (650) 723-4744

Email: ere@sesmail.stanford.edu

Web Site: http://pangea.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 engineers are concerned with the design of processes for energy recovery. Included in the design process are characterizing the spatial distribution of hydrocarbon and geothermal reservoir properties, drilling wells, designing and operating production facilities, selecting and implementing methods for enhancing fluid recovery, examining the environmental aspects of petroleum and geothermal exploration and production, monitoring reservoirs, and predicting recovery process performance.

The program also has a strong interest in related energy topics such as renewable energy, global climate change, carbon capture and sequestration, clean energy conversions (e.g., "clean coal"), 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 geothermal engineering and geostatistics. The curriculum emphasizes the fundamental aspects of fluid flow in the subsurface. These principles apply equally well to optimizing oil recovery from petroleum reservoirs, geothermal energy production and remediating contaminated groundwater systems.

Faculty and graduate students conduct research in areas including: enhanced oil recovery by thermal means, gas injection, and the use of chemicals; geostatistical reservoir characterization and mathematical modeling; geothermal engineering; natural gas engineering; production optimization; data assimilation and uncertainty modeling; properties of petroleum fluids; well test analysis; carbon sequestration; clean energy conversions; 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, clean energy conversions, 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, which 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 fundamental courses in the major field and in related sciences, as well as through independent research. 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 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 general education, writing, and language requirements. The normal Energy Resources Engineering undergraduate program automatically satisfies the University General Education Requirements (GERs) in the Disciplinary Breadth areas of Natural Sciences, Engineering and Applied Sciences, and Mathematics.

Engineering fundamentals courses and Energy Resources Engineering depth and elective courses must be taken for a letter grade.

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:

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: IHUM, GERs, 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 advisor's prior approval.

#### Required Core in Energy Resources Engineering

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

ENERGY 101 | Energy and the Environment | 3 |

ENERGY 104 | Transition to sustainable energy systems | 3 |

ENERGY 120 | Fundamentals of Petroleum Engineering | 3 |

ENERGY 160 | Modeling Uncertainty in the Earth Sciences | 3 |

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

Mathematics | ||

Select one of the following Series (A or B): | 10 | |

Series A | ||

MATH 41 | ||

Calculus | ||

Series B | ||

Calculus | ||

MATH 20 | ||

MATH 21 | ||

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

CME 100 | Vector Calculus for Engineers | 5 |

or Math 51 | ||

CME 102 | Ordinary Differential Equations for Engineers | 5 |

or Math 53 | ||

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 | ||

CHEM 31B | ||

or chem 31x | ||

CHEM 33 | Structure and Reactivity | 5 |

PHYSICS 41 | Mechanics | 4 |

PHYSICS 43 | ||

PHYSICS 45 | ||

PHYSICS 46 | ||

GES 1A | 0-4 | |

or GES 1C | Introduction to Geology: Dynamic Earth | |

Engineering Fundamentals | ||

CS 106A | 0-5 | |

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

CS 106B | 3-5 | |

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

ENGR 14 | Intro to Solid Mechanics | 4 |

ENGR 30 | 3 | |

CEE 146A | 3 | |

or ECON 155 | Environmental Economics and Policy | |

or ECON 250 | ||

or ECON 251 | ||

ME 70 | 4 | |

Technology in Society, 1 course |

#### Earth and Energy Depth Concentration

Choose courses from the list below for a total of at least 18 units. At least one course must be completed in each category. Courses must be planned in consultation with the student's academic advisor. Appropriate substitutions are allowed with the consent of the advisor.

Fluid Flow and the Subsurface | ||

ENERGY 120A | ||

ENERGY 121 | ||

ENERGY 130 | ||

ENERGY 175 | Well Test Analysis | 3 |

ENERGY 180 | ||

ENGR 62 | ||

GEOPHYS 181 | Fluids and Flow in the Earth: Computational Methods | 3 |

3D Modeling of Subsurface Structures | ||

ENERGY 125 | ||

ENERGY 141 | Seismic Reservoir Characterization | 3-4 |

ENERGY 146 | Reservoir Characterization and Flow Modeling with Outcrop Data | 3 |

GEOPHYS 112 | ||

GEOPHYS 182 | Reflection Seismology | 3 |

GES 151 | ||

GEOPHYS 183 | 1-4 | |

GEOPHYS 185 | 3 | |

GEOPHYS 186 | 3 | |

Earth and Energy Systems | ||

ENERGY 102 | Renewable Energy Sources and Greener Energy Processes | 3 |

ENERGY 153 | ||

ENERGY 269 | Geothermal Reservoir Engineering | 3 |

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

ENERGY 301 | ||

CEE 64 | ||

CEE 70 | Environmental Science and Technology | 3 |

CEE 176B | ||

GEOPHYS 150 | Geodynamics: Our Dynamic Earth | 3 |

MATSCI 156 | ||

GEOPHYS 120 | Ice, Water, Fire | 3-5 |

GEOPHYS 150 | Geodynamics: Our Dynamic Earth | 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 will serve as the research advisor.

Upon approval, students enroll in the Honors Program via Axess. Students must enroll in a total of 9 units of ENERGY 193 ; 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 advisor 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 advisor 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 advisor. Appropriate substitutions are allowed with the consent of the advisor.

### Required courses

ENERGY 101 | Energy and the Environment | 3 |

ENERGY 120 | Fundamentals of Petroleum Engineering | 3 |

ENERGY 160 | Modeling Uncertainty in the Earth Sciences | 3 |

### Elective courses

Select at least three of the following: | ||

Renewable Energy Sources and Greener Energy Processes | ||

Transition to sustainable energy systems | ||

ENERGY 121 | ||

ENERGY 125 | ||

ENERGY 130 | ||

Seismic Reservoir Characterization | ||

Reservoir Characterization and Flow Modeling with Outcrop Data | ||

ENERGY 153 | ||

Geothermal Reservoir Engineering | ||

Well Test Analysis | ||

ENERGY 180 | ||

Reflection Seismology | ||

GES 151 |

## 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 , and GES 151 ) 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.
- 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

ENERGY 175 | Well Test Analysis | 3 |

or energy 130 | ||

ENERGY 221 | Fundamentals of Multiphase Flow | 3 |

ENERGY 222 | Advanced Reservoir Engineering ^{1} | 3 |

ENERGY 246 | ||

ENERGY 251 | ^{2} | |

CME 200 | ||

CME 204 | ||

Total Units | 9 |

#### Elective Sequence

Select one of the following Series: | 9-14 | |

Crustal Fluids: | ||

Fluids and Flow in the Earth: Computational Methods | ||

EESS 220 | ||

EESS 221 | ||

Environmental: | ||

ENERGY 227 | ||

EESS 221 | ||

And two of the following: | ||

ENERGY 240 | ||

ENERGY 260 | ||

Movement and Fate of Organic Contaminants in Waters | ||

CEE 273 | ||

Environmental Microbiology I | ||

Enhanced Recovery: | ||

EESS 220 | ||

ENERGY 225 | ||

Thermal Recovery Methods | ||

ENERGY 227 | ||

Geostatistics and Reservoir Modeling: | ||

ENERGY 240 | ||

ENERGY 241 | ||

Reflection Seismology | ||

or GEOPHYS 262 | ||

Geothermal: | ||

Geothermal Reservoir Engineering | ||

or energy 293a | ||

CHEMENG 120B | ||

ME 131A | ||

Reservoir Performance: | ||

ENERGY 223 | ||

Oil and Gas Production Engineering | ||

Reservoir Geomechanics | ||

Simulation and Optimization: | ||

ENERGY 223 | ||

Advanced Reservoir Simulation | ||

Optimization and Inverse Modeling | ||

Renewable Energy: | ||

ENERGY 293A | ||

ENERGY 293B | ||

Energy from Wind and Water Currents | ||

Total Units | 9-14 |

#### Research Sequence

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. |

#### Technical Electives

Technical electives from the following list of advanced-level courses usually complete the M.S. program. In unique cases, when justified and approved by the adviser prior to taking the course, courses listed here may be substituted for courses listed above in the elective sequences.

ENERGY 130 | ||

ENERGY 224 | Advanced Reservoir Simulation | 3 |

ENERGY 230 | ||

ENERGY 260 | ||

ENERGY 267 | ||

ENERGY 269 | Geothermal Reservoir Engineering | 3 |

ENERGY 273 | Special Topics in Energy Resources Engineering | 1-3 |

ENERGY 280 | Oil and Gas Production Engineering | 3 |

ENERGY 281 | Applied Mathematics in Reservoir Engineering | 3 |

ENERGY 284 | Optimization and Inverse Modeling | 3 |

ENERGY 301 | ||

CME 204 | ||

ENERGY 293A | ||

ENERGY 293B | ||

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

GEOPHYS 182 | Reflection Seismology | 3 |

GEOPHYS 190 | Near-Surface Geophysics | 3 |

GEOPHYS 202 | Reservoir Geomechanics | 3 |

## 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, of which a minimum of 39 units must be course work, with the remainder consisting of no more than 6 research units.

- 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

ENERGY 221 | Fundamentals of Multiphase Flow | 3 |

ENERGY 246 | ||

CME 200 | ||

CME 204 | ||

ms&e 248 | ||

ENERGY 293A | ||

ENERGY 293B | ||

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

Total Units | 6 |

#### Subject Sequence Alternatives

Select one of the following Series: | 15 | |

Geothermal: | ||

ENERGY 223 | ||

Geothermal Reservoir Engineering | ||

CHEMENG 120B | ||

GES 217 | ||

ME 131A | ||

ME 370A | ||

Low Carbon Energy: | ||

Select three of the following: | ||

Transition to sustainable energy systems | ||

ENERGY 223 | ||

ENERGY 251 | ||

ENERGY 256 | (formerly Energy 252) | |

Geothermal Reservoir Engineering | ||

ENERGY 291 | ||

Separation Processes | ||

Environmental Geochemistry | ||

GES 171 | ||

ME 370A | ||

Energy Systems II: Modeling and Advanced Concepts | ||

MATSCI 156 | ||

Modeling Natural Resources: | ||

Select three of the following: | ||

ENERGY 240 | ||

ENERGY 241 | ||

ENERGY 260 | ||

Optimization and Inverse Modeling | ||

Fluids and Flow in the Earth: Computational Methods | ||

GEOPHYS 262 | ||

Oil and Gas: | ||

Transition to sustainable energy systems | ||

Advanced Reservoir Engineering | ||

ENERGY 223 | ||

ENERGY 240 | ||

or energy 260 | ||

ENERGY 251 | ||

Total Units | 15 |

#### Technical Electives

ENERGY 104 | Transition to sustainable energy systems | 3 |

ENERGY 120 | Fundamentals of Petroleum Engineering | 3 |

ENERGY 130 | ||

Any 200-level ENERGY course | ||

ENERGY 301 | ||

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

CEE 176B | ||

CME 206 | ||

CME 212 | Advanced Programming for Scientists and Engineers | 3 |

EARTHSYS 247 | ||

ECON 250 | ||

ECON 251 | ||

GES 217 | ||

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

ME 131A | ||

ME 260 | Fuel Cell Science and Technology | 3 |

ME 370A | ||

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

MS&E 248 | 3-4 |

## 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. Students should have a background at least through MATH 53 Ordinary Differential Equations with Linear Algebra and CS 106A Programming Methodology before beginning graduate work in this program.

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 below 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: two 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.

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

Students should apply to the program any time after they have completed 105 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.

University requirements for the coterminal M.A. are described in the "Coterminal Bachelor's and Master's Degrees" section of this bulletin. For University coterminal degree program rules and University application forms, see the Stanford Undergrad Coterm Guide.

## 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:

- Students must complete a minimum of 36 course units and a minimum of 36 research units (a total of 90 units) beyond the M.S. degree. The research adviser may specify additional courses beyond the minimum requirements. 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 , 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, 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.
- Complete 135 units of total graduate work (usually 90 units beyond the M.S. degree).
- Act as a teaching assistant at least once, and enroll in ENERGY 359 Teaching Experience in Energy Resources Engineering.

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. Courses must be taken for a letter grade, and a grade point average (GPA) of at least 3.25 must be maintained.

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 MS 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 continuing within the department take the exam at the beginning of their first quarter as Ph.D. students. Students who completed their M..S outside of the department take the exam at the beginning of their fourth quarter as PhD 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 shall be 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 MS in the department prepare and defend their proposal in their third quarter (not counting summer) as a Ph.D. student. Their advisor 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 MS outside of the department complete the proposal in their fourth quarter (not counting summer) of study.

### 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 293A ,ENERGY 293B , ENERGY 293C Energy from Wind and Water Currents or their equivalent during the M.S., then these courses must be taken during the Ph.D. (they will satisfy 9 of the required 12 units).

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

ENERGY 104 | Transition to sustainable energy systems | 3 |

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

ENERGY 256 | (formerly Energy 252) | 3 |

ENERGY 260 | ||

ENERGY 269 | Geothermal Reservoir Engineering | 3 |

ENERGY 291 | ||

ENERGY 293A | ||

ENERGY 293B | ||

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

ENERGY 301 | ||

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

CEE 176B | ||

CEE 268 | Groundwater Flow | 3-4 |

CME 206 | 3 | |

CME 302 | Numerical Linear Algebra | 3 |

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

EESS 221/cee 260c | ||

CHEMENG 130 | Separation Processes | 3 |

CHEMENG 340 | ||

EARTHSYS 247 | ||

ECON 250 | ||

ECON 251 | ||

GES 170 | Environmental Geochemistry | 4 |

GES 171 | ||

GES 217 | ||

GES 253 | 0 | |

GEOPHYS 182 | Reflection Seismology | 3 |

GEOPHYS 202 | Reservoir Geomechanics | 3 |

GEOPHYS 262 | 3 | |

ME 131A | ||

ME 250 | Internal Combustion Engines | 3 |

ME 260 | Fuel Cell Science and Technology | 3 |

ME 335A | 3 | |

ME 335B | 3 | |

ME 335C | Finite Element Analysis | 0 |

ME 370A | ||

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

MATSCI 156 | ||

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

MS&E 248 | 3-4 |

## 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 293A and ENERGY 293B and ENERGY 293C Energy from Wind and Water Currents for the Energy Resources Engineering minor. The remaining courses should be selected from:

ENERGY 175 | Well Test Analysis | 3 |

ENERGY 223 | ||

ENERGY 224 | Advanced Reservoir Simulation | 3 |

ENERGY 225 | ||

ENERGY 227 | ||

ENERGY 240 | ||

ENERGY 241 | ||

ENERGY 251 | ||

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

ENERGY 256 | (formerly Energy 252) | 3 |

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 |

*Emeriti: (Professors)* Khalid Aziz, John W. Harbaugh, André Journel*

*Chair:* Anthony Kovscek

*Professors:* Sally M. Benson, Jef Caers, Louis J. Durlofsky, Roland N. Horne, Anthony R. Kovscek, Franklin M. Orr, Jr., Hamdi Tchelepi

*Associate Professors:* Margot Gerritsen, Tapan Mukerji**

*Assistant Professors:* Adam Brandt, Jennifer Wilcox

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

*Lecturers:* Louis M. Castanier, Denis V. Voskov, Anne Macfarlane, Eric Stoutenburg

*Consulting Professors:* Alexandre Boucher, Warren K. Kourt, Robert G. Lindblom, Kiran Pande, Victor Pereyra, Marco R. Thiele, Birol Dindoruk, Stuart MacMillan, Richard Sears

* Joint appointment with Geological and Environmental Sciences

** Joint appointment with Geophysics

### Courses

**ENERGY 24. Making Molehills out of Mountains: Energy and Development in Appalachia. 1 Unit.**

Preparation for Alternative Spring Break trip to examine the past, present, and future role of energy in Appalachia. Positive and negative impacts of energy production; meetings with energy industry leaders, community groups, and policymakers. The larger role of energy development and energy issues in society. May be repeated for credit.

**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. Renewable Energy Sources and Greener Energy Processes. 3 Units.**

The energy sources that power society are rooted in fossil energy although energy from the core of the Earth and the sun is almost inexhaustible; but the rate at which energy can be drawn from them with today's technology is limited. The renewable energy resource base, its conversion to useful forms, and practical methods of energy storage. Geothermal, wind, solar, biomass, and tidal energies; resource extraction and its consequences. Recommended: MATH 21 or 42.

Same as: EARTHSYS 102

**ENERGY 104. Transition to sustainable energy systems. 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 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 123. When Technology Meets Reality; An In-depth Look at the Deepwater Horizon Blowout and Oil Spill. 1-2 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 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).nnRecommended: 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.**

Project addressing a reservoir management problem by studying an outcrop analog, constructing geostatistical reservoir models, and performing flow simulation. How to use outcrop observations in quantitative geological modeling and flow simulation. Relationships between disciplines. Weekend field trip.

Same as: ENERGY 246, GES 246

**ENERGY 160. Modeling Uncertainty in the Earth Sciences. 3 Units.**

Whether Earth Science modeling is performed on a local, regional or global scale, for scientific or engineering purposes, uncertainty is inherently present due to lack of data and lack of understanding of the underlying phenomena. This course highlights the various issues, techniques and practical modeling tools available for modeling uncertainty of complex 3D/4D Earth systems. The course focuses on a practical breath rather than theoretical depth. Topics covered are: the process of building models, sources of uncertainty, probabilistic techniques, spatial data analysis and geostatistics, grid and scale, spatio-temporal uncertainty, visualizing uncertainty in large dimensions, Monte Carlo simulation, reducing uncertainty with data, value of information. Applications to both local (reservoir, aquifer) and global (climate) are covered through literature study. Extensive software use with SGEMS and Petrel. Project homework. 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 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 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 41, 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 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 202. Petroleum Industry Performance Management. 1 Unit.**

Coming up with the right technical solution is only the beginning ¿ it must be implemented. The art and science of Performance Management. How to guarantee results with Leading and Lagging KPI¿s (Key Performance Indicators). Assessment using the FAIRTM Model (Focus, Accountability, Involvement, Response). Operating RhythmTM: Business Reviews, Boardwalks, One-Pagers, Handover, and Crew Talks. Project management¿s implementation plans, milestones, and clear deliverables. Sustainability. After Action Reviews (AAR¿s). Continuous Improvement (CI). Coaching¿s GROW Model (Goal, Reality, Options, Will). The ABC Model (Antecedent ¿ Behavior ¿ Consequence). Students will solve three Case Studies with these tools; the instructor will present the actual solution ¿ what worked, what didn¿t, and why.

**ENERGY 212. Advanced Programming for Scientists and Engineers. 3 Units.**

Advanced topics in software programming, debugging, and performance optimization are covered. The capabilities and usage of common libraries and frameworks such as BLAS, LAPACK, FFT, PETSc, and MKL/ACML are reviewed. Computer representation of integer and floating point numbers, and interoperability between C/C++ and Fortran is described. More advanced software engineering topics including: representing data in files, application checkpoint/restart, signals, unit and regression testing, and build automation. The use of debugging tools including static analysis, gdb, and Valgrind are introduced. An introduction to computer architecture covering processors, memory hierarchy, storage, and networking provides a foundation for understanding software performance. Profiles generated using gprof and perf are used to help guide the performance optimization process. Computational problems from various science and engineering disciplines will be used in individual and group assignments. Prerequisites: CME 200/ME 300A and CME 211 or equivalent level of programming proficiency in Python and C/C++.

Same as: CME 212

**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 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 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 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: EESS 263

**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 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 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.**

.

**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: GES 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 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 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 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 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 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 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 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 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 801. TGR Project. 0 Units.**

.