Analytical Solution of a Pressure Transmission Experiment on Shale Using Electrochemomechanical Theory
Publication: Journal of Engineering Mechanics
Volume 133, Issue 9
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 monovalent ionic solution. From the governing equations a coupled diffusion equation is derived for the three electrochemical potentials, which is decoupled introducing a set of normal parameters. The magnitude of the eigenvalues of the diffusivity matrix corresponds to the time scales for Darcy flow, diffusion of ionic constituents, and diffusion of electrical potential. The radial strain is very sensitive to the ionization.
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Acknowledgments
The writer thanks M. M. Molenaar (Shell Research, Rijswijk, The Netherlands) for fruitful discussions on the subject as well as for commenting on the paper.
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© 2007 ASCE.
History
Received: Apr 28, 2005
Accepted: Aug 2, 2005
Published online: Sep 1, 2007
Published in print: Sep 2007
Notes
Note. Associate Editor: Younane N. Abousleiman
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