Date of Award
2015-01-01
Degree Name
Doctor of Philosophy
Department
Computational Science
Advisor(s)
Vinod Kumar
Second Advisor
Son-Young Yi
Abstract
In this Thesis, we develop and analyze a heterogeneous multiscale model for coupled fluid flow and solid deformation in porous media based on operator splitting and finite volume method. The splitting method results in two elliptic multiscale PDE's in the form of a reaction diffusion equation and a linear elasticity equation. We extend our previous multiscale method from 1D to higher dimensions and develop new approaches for the inclusion of mixed boundary conditions and source terms. We derive an error estimate for our multiscale method and analyze the stability of our splitting method. We also test the effectiveness of our method in the case of steady state linear poroelasticity.
Language
en
Provenance
Received from ProQuest
Copyright Date
2015
File Size
242 pages
File Format
application/pdf
Rights Holder
Paul M. Delgado
Recommended Citation
Delgado, Paul M., "A Heterogeneous Multiscale Method for Poroelasticity" (2015). Open Access Theses & Dissertations. 1229.
https://scholarworks.utep.edu/open_etd/1229