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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 2021-2022

Course code




Credits (ECTS)


Semester tution start


Number of semesters


Exam semester


Language of instruction


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.
Basic numerical methods, Conservation laws, closure laws,solution techniques, practical applications
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 A - F Valid calculator

Written exam (4 hours).Condition for taking the exam: 2 mandatory assignments must be approved 3 weeks before the exam

Coursework requirements
Compulsory assignments, Compulsory assignments
Condition for taking the exam: 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's Degree Programme Industrial economics - Master's Degree Programme Industrial economics - Master's Degree Programme - 5 year Petroleum Engineering - Master of Science Degree Programme Petroleum Engineering - Master`s Degree programme in Petroleum Engineering, 5 years Exchange programme at Faculty of Science and Technology
Course assessment
Standard UiS procedure
The syllabus can be found in Leganto