Poroelastic coefficients for anisotropic single and double porosity media

Closed-form expressions for poroelastic coefficients are derived for anisotropic materials exhibiting single and double porosity. A novel feature of the formulation is the use of the principle of superposition to derive the governing mass conservation equations from which analytical expressions for...

Full description

Saved in:
Bibliographic Details
Published in:Acta geotechnica 2021-10, Vol.16 (10), p.3013-3025
Main Authors: Zhang, Qi, Borja, Ronaldo I.
Format: Article
Language:English
Subjects:
Anisotropy
Civil engineering
Coefficients
Complex Fluids and Microfluidics
Conservation equations
Deformation
Engineering
Exact solutions
Foundations
Fractured reservoirs
Geoengineering
Geotechnical Engineering & Applied Earth Sciences
Hydraulics
Mathematical models
Permeability
Porosity
Porous materials
Research Paper
Sandstone
Sedimentary rocks
Soft and Granular Matter
Soil Science & Conservation
Solid Mechanics
Tensors
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Closed-form expressions for poroelastic coefficients are derived for anisotropic materials exhibiting single and double porosity. A novel feature of the formulation is the use of the principle of superposition to derive the governing mass conservation equations from which analytical expressions for the Biot tensor and Biot moduli, among others, are derived. For single-porosity media, the mass conservation equation derived from the principle of superposition is shown to be identical to the one derived from continuum principle of thermodynamics, thus confirming the veracity of both formulations and suggesting that this conservation equation can be derived in more than one way. To provide further insight into the theory, numerical values of the poroelastic coefficients are calculated for granite and sandstone that are consistent with the material parameters reported by prominent authors. In this way, modelers are guided on how to determine these coefficients in the event that they use the theory for full-scale modeling and simulations.
ISSN:1861-1125
1861-1133
DOI:10.1007/s11440-021-01184-y