Flow in Porous Media
Postgraduate course
- ECTS credits
- 10
- Teaching semesters Autumn
- Course code
- MAT254
- Number of semesters
- 1
- Teaching language
- English
- Resources
- Schedule
Course description
Objectives and Content
The understanding of flow and transport processes in porous media is pertinent to many important applications in science and engineering. This includes for example subsurface water flow in soil, CO2 sequestration, geothermal energy extraction, enhanced oil recovery and medical applications. In this course basic theory and mathematics of porous media flow and transport processes is developed. Mass and momentum conservation equations for single and multiphase, multicomponent flow in porous media are introduced in a general framework. The students will learn to set up mathematical models relevant to applications and solve these in simplified settings. Extensions to topics of relevance for current research (e.g. flow in deformable and/or fractured media) will be covered.
Learning Outcomes
After completed course, the students are expected to be able to
- describe notions like porosity, permeability or saturation
- describe miscible and immiscible flow in porous media
- describe what means harmonic average of permeability
- describe the principle of capillarity pressure and relative permeability
- give a complete model for a two-phase flow
- analyze the Riemann's problem and the Buckley Leverett solution.
ECTS Credits
10 ECTS
Level of Study
Master level
Semester of Instruction
Autumn
Required Previous Knowledge
None
Credit Reduction due to Course Overlap
None
Teaching and learning methods
Lectures
Compulsory Assignments and Attendance
Exercises
Forms of Assessment
Written examination (4 hours)
Grading Scale
The grading scale used is A to F. Grade A is the highest passing grade in the grading scale, grade F is a fail.
Reading List
The reading list will be available within July 1st for the autumn semester and December 1st for the spring semester.
Examination Support Material
Non-programmable calculator
Programme Committee
The Programme Committee is responsible for the content, structure and quality of the study programme and courses.
Course Administrator
The Faculty of Science and Technology - Department of Mathematics has the responsibility for the course and study programme