Computational Reservoir and Well Modeling (PET510)

This course gives an introduction to how mathematical models and computational methods can be used to describe flow processes taking place in reservoirs and wells. The student will get an introduction to how such models can be solved by analytical and numerical techniques. Models in general are very much used in the petroleum industry.

Course description for study year 2022-2023


Course code




Credits (ECTS)


Semester tution start


Number of semesters


Exam semester


Language of instruction



Basic numerical methods, Conservation laws, closure laws,solution techniques, practical applications

Learning outcome

  • Have knowledge about standard numerical techniques that can be used to study petroleum related models
  • Be able to formulate central (partial and ordinary) differential equations relevant for porous media and well flow, transient as well as stationary models. Know related closure laws and correlations that are involved in such models.
  • Be able to formulate discretizations of such mathematical models and assess properties like stability and accuracy.
  • Be trained in implementing (in matlab) such numerical methods
  • Know specific applications of the models that are presented.
  • Have a general understanding about the role played by mathematical models and computational methods as a tool in petroleum related operations.

Required prerequisite knowledge


Recommended prerequisites

Good knowledge in calculus and basic physical laws for fluid mechanics


Form of assessment Weight Duration Marks Aid
Written exam 1/1 4 Hours Letter grades Valid calculator

Coursework requirements

Compulsory assignments, Compulsory assignments
The 2 mandatory assignments must be approved 3 weeks before the exam.

Course teacher(s)

Course coordinator:

Steinar Evje

Course teacher:

Kjell Kåre Fjelde

Head of Department:

Øystein Arild

Method of work

Class room instruction, programming exercises, calculation exercises

Open for

Admission to Single Courses at the Faculty of Science and Technology Computational Engineering - Master of Science Degree Programme Industrial economics - Master of Science Degree Programme Industrial Economics - Master of Science Degree Programme, Five Year Petroleum Engineering - Master of Science Degree Programme Petroleum Engineering - Master of Science Degree Programme, Five Years Exchange programme at Faculty of Science and Technology

Course assessment

Form and/or discussion.


The syllabus can be found in Leganto