Flow in Porous Media

Postgraduate course

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

Recommended Previous Knowledge

PHYS111 Mechanics I and MAT212 Functions of Several Variables

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