Schwartz, L. M., Bergman, D. J., Dunn, K. J., Mitra, P. P. (1996) Self-diffusion in periodic porous media: A comparison of numerical simulation and eigenvalue methods. Magnetic Resonance Imaging, 14 (7-8). pp. 737-743. ISSN 0730725X (ISSN)
Abstract
Random walk computer simulations are an important tool in understanding magnetic resonance measurements in porous media. In this paper we focus on the description of pulsed field gradient spin echo (PGSE) experiments that measure the probability, P(R, t), that a diffusing water molecule will travel a distance R in a time t. Because PGSE simulations are often limited by statistical considerations, we will see that valuable insight can be gained by working with simple periodic geometries and comparing simulation data to the results of exact eigenvalue expansions. In this connection, our attention will be focused on (1) the wavevector, k, and time dependent magnetization, M(k, t); and (2) the normalized probability, P1(ΔR,t), that a diffusing particle will return to within ΔR of the origin after time t.
| Item Type: | Paper |
|---|---|
| Uncontrolled Keywords: | Diffusion Porous media Simulations calculation computer simulation conference paper measurement nuclear magnetic resonance physical phenomena priority journal surface property Algorithms Magnetic Resonance Spectroscopy Porosity Water |
| Subjects: | physics > biophysics physics > fluid dynamics Investigative techniques and equipment > magnetic resonance imaging physics physics > biophysics > pore dynamics |
| CSHL Authors: | |
| Communities: | CSHL labs > Mitra lab |
| Depositing User: | CSHL Librarian |
| Date: | 1996 |
| Date Deposited: | 02 Apr 2012 20:12 |
| Last Modified: | 10 Feb 2017 19:52 |
| Related URLs: | |
| URI: | https://repository.cshl.edu/id/eprint/25875 |
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