Date of Award

Summer 1987

Degree Type

Thesis - Restricted

Degree Name

Master of Science (MS)



First Advisor

Mendelson, Kenneth S.

Second Advisor

Feldott, Jeanette

Third Advisor

Collins, J. M.


The time dependence of magnetization in a water filled porous medium composed of two connected spherical pores is solved to the second order. The Galerkin method is used to construct eigenfunctions, divided into separate functions in each pore, and evaluate eigenvalues for the system of connected pores. The coupled Galerkin equations are set up and these equations are converted into a set of linear algebraic equations by expanding trial functions in terms of a suitable complete set of functions. The algebraic equations are solved to obtain relaxation rates and the total magnetization in the sample. The leading relaxation rates are plotted with varying h (the size of the throat) at the values 1, 2 and 5 of n (the ratio of radii of two connected spherical pores).