Multi‐porous extension of anisotropic poroelasticity: Consolidation and related coefficients

We propose the generalization of the anisotropic poroelasticity theory. At a large scale, a medium is viewed as quasi‐static, which is the original assumption of Biot. At a smaller scale, we distinguish different sets of pores or fractures that are characterized by various fluid pressures, which is...

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Bibliographic Details
Published in:International journal for numerical and analytical methods in geomechanics 2024-06, Vol.48 (8), p.2179-2206
Main Authors: Adamus, Filip P., Healy, David, Meredith, Philip G., Mitchell, Thomas M., Stanton‐Yonge, Ashley
Format: Article
Language:English
Subjects:
Anisotropy
Coefficients
Consolidation
Deformation
Fractures
multiple‐permeability
multiple‐porosity
Pore pressure
Poroelasticity
Porosity
rock mechanics
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Summary:We propose the generalization of the anisotropic poroelasticity theory. At a large scale, a medium is viewed as quasi‐static, which is the original assumption of Biot. At a smaller scale, we distinguish different sets of pores or fractures that are characterized by various fluid pressures, which is the original poroelastic extension of Aifantis. In consequence, both instantaneous and time‐dependent deformation lead to fluid content variations that are different in each set. We present the equations for such phenomena, where the anisotropic properties of both the solid matrix and pore sets are assumed. Novel poroelastic coefficients that relate solid and fluid phases in our extension are proposed, and their physical meaning is determined. To demonstrate the utility of our equations and emphasize the meaning of new coefficients, we perform numerical simulations of a triple‐porosity consolidation. These simulations reveal positive pore pressure transients in the drained behaviour of weakly connected pore sets, and these may result in the mechanical weakening of the material.
ISSN:0363-9061
1096-9853
DOI:10.1002/nag.3727