Diffusion through time-dependent media

Details Diffusion through time-dependent media Diffusion through time-dependent media

May 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000geoji.141..299h&link_type=abstract

Geophysical Journal International, Volume 141, Issue 2, pp. 299-306.

Astronomy and Astrophysics

Astronomy

Diffusion, Porous Media

Scientific paper

In this theoretical paper we show how to solve a time-dependent diffusion equation by means of a perturbation series. This technique is applied to the case of diffusion of a liquid through a time-dependent porous matrix. We compute to first order the phase and amplitude relations between the small deformation of the transporting matrix and the corresponding variation of the saturation at the surface. In particular we show that, for a large frequency range, there is a constant phase shift of π/2 between the matrix and the surface saturation variations. Since the conductivity is to first approximation proportional to the saturation at the surface, this might explain the observed phase relations observed in an experiment in a cave near Abaratsubo (Japan).

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