期刊
JOURNAL OF MAGNETIC RESONANCE
卷 201, 期 2, 页码 205-211出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmr.2009.09.010
关键词
Restricted diffusion; Pade approximation; Porous system; Pade length; Tortuosity; Void space; Discrete Laplacian; Relaxation rate; Spectral gap
Porous systems are investigated using eigendecomposition of the Laplace matrix. Three parameters; tortuosity, Surface-to-pore volume ratio and relaxation rate are derived from the eigenvalue spectrum of the Laplace matrix and connected to the parameters in the Pade approximation, an expression often used to describe the time-dependent diffusion coefficient in porous systems. The Pade length is identified for systems with large pore to connector volume ratio. The results are compared with simulations. (C) 2009 Elsevier Inc. All rights reserved.
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