Date of Award:

5-1992

Document Type:

Thesis

Degree Name:

Master of Science (MS)

Department:

Mathematics and Statistics

Department name when degree awarded

Mathematics

Committee Chair(s)

Joseph V. Koebbe

Committee

Joseph V. Koebbe

Committee

Kevin Hestir

Committee

James Evans

Abstract

The problem under consideration is that of obtaining a representation of the permeability of a porous medium which is heterogeneous and anisotropic from limited information. To solve this inverse problem we propose the use of two different pieces that work together. A simulated annealing algorithm is presented and coupled with an homogenization technique; together these solve the problem which was posed. Further, numerical simulation results are presented illustrating the use of the simulated annealing algorithm as well as a coupling with the homoginization technique. This study illustrates that the performance of the annealing algorithm is enhanced with usage of homogenization.

Checksum

eef9238b3b6670ba9069949c85b7b06e

Included in

Mathematics Commons

Share

COinS