title: A novel approach to interpretation of the time-dependent self-diffusion coefficient as a probe of porous media geometry.
abstract: This article presents a new approximation describing fluid diffusion in porous media. Time dependence of the self-diffusion coefficient D(t) in the permeable porous medium is studied based on the assumption that diffusant molecules move randomly. An analytical expression for time dependence of the self-diffusion coefficient was obtained in the following form: D(t)=(D0-D∞)exp(-D0t/λ)+D∞, where D0 is the self-diffusion coefficient of bulk fluid, D∞ is the asymptotic value of the self-diffusion coefficient in the limit of long time values (t→∞), λ is the characteristic parameter of this porous medium with dimensionality of length. Applicability of the solution obtained to the analysis of experimental data is shown. The possibility of passing to short-time and long-time regimes is discussed.
authors: Physics and Mathematics Department, Mary State University, Lenin Sq. 1, Yoshkar-Ola 424000, Russia. val_losk@rambler.ru
authors: V V
authors: VV
authors: Loskutov
authors: V A
authors: VA
authors: Sevriugin
mesh_terms: D000465:Algorithms; D003627:Data Interpretation, Statistical; D009682:Magnetic Resonance Spectroscopy / Q000379:methods*; D008422:Materials Testing / Q000379:methods*; D015336:Molecular Probe Techniques; D016062:Porosity; D012212:Rheology / Q000379:methods*; D012996:Solutions / Q000737:chemistry*
chemical_list: D012996:Solutions