PG8607 - Numerical Methods in Reservoir Simulation


Examination arrangement

Examination arrangement: Oral examination
Grade: Passed / Not Passed

Evaluation Weighting Duration Grade deviation Examination aids
Oral examination 100/100 1 hours D

Course content

The course gives an introduction to the various numerical formulations applied in reservoir simulators. The course contains:

  • Difference methods.
  • Control-volume method.
  • Time integration.
  • Linear equation solvers.
  • Stability and numerical dispersion.

Learning outcome

The subject investigates numerical methods used in reservoir simulation models. The subject contains:

  1. Difference methods.
  2. Control-volum methods.
  3. Time integration.
  4. Linear equation solvers.
  5. Stability and numerical dispersion.
  6. Streamline methods.
  7. Up-scaling methods.

Knowledge: By fulfilling the course the candidate will have a deeper understanding of the mathematical building blocks that goes into various reservoir simulators, different numerical representations and solution methods. The candidate will be able to build on his knowledge through the reading of publications read in the course.

Skills: The candidate shall after fulfilling the course be able to:

  • Describe the various difference methods which are used to solve the transport equations applied in reservoir simulation software.
  • Describe the different linear equation solvers solution methods used in reservoir simulators.
  • Argue for the consequence for stability and dispersion when applying reservoir simulation software.

General competence: The candidate will gain insight into the workings of today's reservoir simulation software, their formulation and solution methods. The candidate will be able to communicate this know how to others and pursue further his/her own development within the subject.

Learning methods and activities

Self study and colloquium, schedule is planned by the participants. The course is taught every second year.

Further on evaluation

To pass the course a score of at least 70 percent is required.

Specific conditions

Admission to a programme of study is required:
Engineering (PHIV)

Required previous knowledge

TPG4160 Reservoir Simulation or equivalent. Requires admission to the PhD programme Engineering, specialization within Reservoir Engineering and Petrophysics, or approval from the person with course responsibility.

Course materials

1. Reservoir Simulation, SPE Monograph, Volume 13. 2. Basic Applied Reservoir Simulation Textbook, Volume 7.

More on the course



Version: 1
Credits:  7.5 SP
Study level: Doctoral degree level


Term no.: 1
Teaching semester:  AUTUMN 2023

Language of instruction: English

Location: Trondheim

Subject area(s)
  • Reservoir Simulation
  • Reservoir Engineering
  • Technological subjects
Contact information
Course coordinator:

Department with academic responsibility
Department of Geoscience and Petroleum


Examination arrangement: Oral examination

Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
Autumn ORD Oral examination 100/100 D
Room Building Number of candidates
Spring ORD Oral examination 100/100 D
Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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