Program Overview

Program Overview

The program in question is a master's level course focused on the study of flow and transport processes in porous media. This field of study is crucial for various applications in natural and engineering sciences, including groundwater flow, CO2 storage, geothermal energy extraction, enhanced oil recovery, and fuel cell technology. Additionally, flow and transport processes in porous media are central to many medical applications.

Course Description

The course introduces the fundamental principles and mathematics of flow and transport in porous media. It presents the general equations for conservation of mass, momentum, and energy in the context of flow of one or more chemical components in one or more phases. Based on this, mathematical models for relevant applications are developed and solved in simplified cases. The course also covers extensions to relevant themes in active research, such as flow and transport in deformable or fractured media.

Learning Outcomes

Upon completing the course, students should be able to:

• Define central concepts such as porosity, permeability, and saturation.
• Explain the difference between miscible and immiscible flow.
• Explain what is meant by the harmonic mean of permeability.
• Explain the principles behind the capillary pressure function and relative permeability.
• Provide a complete model for two-phase flow and derive the saturation equation.
• Analyze the Riemann problem for the Buckley-Leverett equation.

Course Details

• Study Points: 10
• Teaching Semester: Autumn
• Course Code: MAT254
• Number of Semesters: 1
• Language of Instruction: Norwegian (English if necessary)
• Resources: Schedule

Admission Requirements

• Prerequisites: None
• Recommended Prerequisites: MAT212, PHYS111
• Admission Requirements: Admission to the Faculty of Mathematics and Natural Sciences, and fulfillment of any admission requirements.

Assessment

• Compulsory Teaching Activity: Assignments (valid for two semesters: current and the following spring)
• Assessment Methods: Oral exam
• Grading Scale: A-F
• Assessment Semester: Ordinary exam every semester

Course Evaluation

Students will evaluate the teaching in accordance with the University of Bergen's and the department's quality assurance system.