The Mandel–Cryer effect in chemoporoelasticity

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Abstract
Chemoporoelastic theory is an extension of classical Biot poroelasticity that accounts for coupling with the presence and the transport of ions in the pore fluid. The impact of this extra level of coupling can be both substantial and complex. This paper relies on the two variations of Mandel's classical problem, which has become a canonical illustration of the complexity that poromechanical coupling can bring to an otherwise straightforward system. To this end, solutions for a chemoporoelastic shale cylinder and a spherical shale ball are derived. These solutions are then used to demonstrate that chemoporoelastic coupling leads to a coupled pore pressure response that is not only non‐monotonic, as in Mandel's classical case, but also demonstrates the consequences of the semi‐permeable membrane‐like nature of the shale and of the problem's two diffusion‐related timescales. This paper concludes with a discussion of the implications of these results for experimentation and modeling of so‐called reactive shales using chemoporoelastic theory. Copyright © 2009 John Wiley & Sons, Ltd.

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