Self-diffusion in periodic porous media: A comparison of numerical simulation and eigenvalue methods

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)

DOI: 10.1016/s0730-725x(96)00158-0


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 > 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
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