Date of Award
Summer 1987
Document Type
Thesis - Restricted
Degree Name
Master of Science (MS)
Department
Physics
First Advisor
Mendelson, Kenneth S.
Second Advisor
Feldott, Jeanette
Third Advisor
Collins, J. M.
Abstract
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).
Recommended Citation
Chen, Xiaolei, "Nuclear Matnetic Relaxation in Connected Spherical Pores" (1987). Master's Theses (1922-2009) Access restricted to Marquette Campus. 2245.
https://epublications.marquette.edu/theses/2245