In this lecture, Professor Jan Martin Nordbotten will review mathematical models of porous media. This lecture assumes a familiarity with mathematical models for porous media, and is intended as a refresher to prepare participants for the advanced topics covered in subsequent lectures. As such, we will discuss topics such as:
- Governing equations of single-phase flow, including conservation of mass and Darcy’s law.
- Extensions to tracer transport.
- Extensions to poromechanics.
- Standard numerical methods for porous media.
Nordbotten, J. M., & Celia, M. A. (2011). Geological storage of CO2: modeling approaches for large-scale simulation. John Wiley & Sons