Porous Media Group
MSc project

Impact of compressibility in vertically integrated models for CO2 storage, 2012

Silje R. Reistad

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Advisors: Jan M. Nordbotten

Short description of project:

We outline the mathematical and numerical approach to solve the coupled vertically integrated models with density variation. Mathematical models for CO2 storage are considered in which the equations for mass conservation and Darcy's law are vertically integrated and coupled with an equation of state for CO2 density. Based on these, a pressure equation is derived. This pressure equation is then discretized with the use of an implicit control volume method and a partially implicit Lax-Friedrichs' method. A solution approach based on an IMPES approach is suggested.

Link to thesis at BORA-UiB: Link