Numerical Methods in Reservoir Simulation

The course is taught every second year.

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

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

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

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

Knowledge: By fulfilling the course the candidate will have a deeper understanding of the mathematical building blocks that go 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 used in the course.

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

• Describe the various difference methods that 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.

Self study and colloquium, schedule is planned by the participants.