Date of Award

Fall 1988

Degree Type

Thesis - Restricted

Degree Name

Master of Science (MS)

Department

Physics

First Advisor

Mendelson, Kenneth S.

Second Advisor

Day, A.

Third Advisor

Karioris, Frank

Abstract

A variational method. namely the Rayleigh-Ritz method, is developed to solve Bloch equations for nuclear magnetic relaxation of protons In water contained In a porous medium. The method Is based on estabushlng an equivalent varitational equation to the original differential equations and boundary conditions and selecting a suitable set of trial functions to minimize the associated functional. Application to the case of a single sphere In a water filled cubical region Is studied In more detail. The system can be extended to a suspension of spheres In water. The accuracy of the variational method Is discussed from a general perspective.

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