TY - GEN
T1 - Multiple-Porosity and Multiple-Permeability Poroelasticity
T2 - 6th Biot Conference on Poromechanics, Poromechanics 2017
AU - Mehrabian, Amin
AU - Abousleiman, Younane N.
N1 - Publisher Copyright:
© ASCE.
PY - 2017
Y1 - 2017
N2 - The linear theory of multiple-porosity and multiple-permeability poroelasticity is presented; a self-consistent extension to Biot's formulation of a single-porosity, homogenous, isotropic, fluid-saturated, and linearly elastic material is made to obtain the constitutive relations and poroelastic constants of a material with an arbitrary number of N systems or scales of porosity and permeability. Sudden and continued confinement of a spherical sample of porous material while allowing for the pore fluid drainage from the surface boundary is known as Cryer's problem in the poromechanics literature. The closed-form solution to this problem is developed in Laplace transform domain for the general case of N-porosity and N-permeability poroelasticity with full inter-porosity fluid exchange property. Numerical results in the time domain are presented for single-porosity, double-porosity, triple-porosity, quadruple-porosity, and quintuple-porosity poroelastic models of organic-rich shale.
AB - The linear theory of multiple-porosity and multiple-permeability poroelasticity is presented; a self-consistent extension to Biot's formulation of a single-porosity, homogenous, isotropic, fluid-saturated, and linearly elastic material is made to obtain the constitutive relations and poroelastic constants of a material with an arbitrary number of N systems or scales of porosity and permeability. Sudden and continued confinement of a spherical sample of porous material while allowing for the pore fluid drainage from the surface boundary is known as Cryer's problem in the poromechanics literature. The closed-form solution to this problem is developed in Laplace transform domain for the general case of N-porosity and N-permeability poroelasticity with full inter-porosity fluid exchange property. Numerical results in the time domain are presented for single-porosity, double-porosity, triple-porosity, quadruple-porosity, and quintuple-porosity poroelastic models of organic-rich shale.
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U2 - 10.1061/9780784480779.032
DO - 10.1061/9780784480779.032
M3 - Conference contribution
AN - SCOPUS:85026323611
T3 - Poromechanics 2017 - Proceedings of the 6th Biot Conference on Poromechanics
SP - 262
EP - 271
BT - Poromechanics 2017 - Proceedings of the 6th Biot Conference on Poromechanics
A2 - Dangla, Patrick
A2 - Pereira, Jean-Michel
A2 - Ghabezloo, Siavash
A2 - Vandamme, Matthieu
PB - American Society of Civil Engineers (ASCE)
Y2 - 9 July 2017 through 13 July 2017
ER -