Analytical solution of a pressure transmission experiment

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Abstract

Analytical solutions are derived for a pressure transmission experiment of a saturated charged compressible porous medium. The governing equations describe infinitesimal deformations of charged porous media saturated with a mono-valent ionic solution. From the governing equations a coupled diffusion equation in state space notation is derived for the electro-chemical potentials, which is decoupled introducing a set of normal parameters, being a linear combination of the eigenvectors of the diffusivity matrix. The magnitude of the eigenvalues of the diffusivity matrix correspond to the time scales for Darcy flow, diffusion of ionic constituents and diffusion of electrical potential.
Original languageEnglish
Title of host publication3rd Biot conference on poromechanics, Norman, Oklahoma, USA, May 24-27, 2005
Place of PublicationS.l.
Publishers.n.
Pages57-62
Publication statusPublished - 2005

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