#### Date of Award

Spring 1984

#### Degree Type

Thesis - Restricted

#### Degree Name

Master of Science (MS)

#### Department

Physics

#### First Advisor

Mendelson, Kenneth S.

#### Second Advisor

Collins, John

#### Third Advisor

Burch, Thaddeus J.

#### Abstract

Nuclear Magnetic Resonance of protons in water molecules is theoritically modelled in water filled pores in sedimentary rocks. The system is considered as spherical particles arranged a in periodic lattice. To simplify the problem for mathematical analysis, the magnetization is calculated for a single particle surrounded by a spherical shell of water with appropriate boundary conditions at the inner and outer surfaces of the water. For the boundary conditions, it is assumed that the spheres in the periodic lattice having radius a are at most tangent but do not overlap and the magnetization must have the periodicity of the lattice. The mathematical analysis is restricted to a lattice of sufficiently high symmetry that the faces of the cells are reflection planes. The detailed mathematical analysis shows that protons magnetization is slightly modified with respect to the results of investigations.

#### Recommended Citation

Siddique, M. A. Bari, "Study of NMR in a Bounded Region" (1984). *Master's Theses (1922-2009) Access restricted to Marquette Campus*. 2352.

http://epublications.marquette.edu/theses/2352