TY - JOUR

T1 - Non-local continuum damage model for poro-viscoelastic porous media

AU - Chen, Yijun

AU - Mobasher, Mostafa E.

AU - You, Tao

AU - Waisman, Haim

N1 - Publisher Copyright: © 2022 Elsevier Ltd

PY - 2022/11

Y1 - 2022/11

N2 - We present a novel poro-damage-viscoelastic model for predicting the failure response of fluid-saturated porous geomaterials. The Generalized Maxwell model is introduced for the representation of the viscoelastic behavior of the solid skeleton, which is achieved by a standard Prony-series type expansion. Damage regularization is obtained by an non-local integral-type formulation and damage behavior is described by Mazars model with the modified von Mises-type equivalent strain measure. The poromechanics parameters (Biot's coefficient, Biot's modulus) are functions of damage, and the fluid flow obeys Darcy's seepage law in the entire domain, while the permeability is assumed to be anisotropic and strain dependent. The coupled system is discretized in time using a backward Euler scheme. The non-linear system is linearized using a Newton Raphson scheme and solved monolithically every time step. A consistent Jacobian matrix and residual vector are derived analytically. Several numerical examples are studied in order to investigate the performance of the proposed approach, including (i) a column undergoing hysteresis from cyclic loading, stress relaxation, creep and variable strain rate loading tests and (ii) fluid-driven fracturing in a 2D poro-viscoelastic domain. The numerical time-dependent results exhibit mesh insensitivity for all field variables, and confirm the feasibility and applicability of the proposed non-local damage model for simulating hydraulic fracture.

AB - We present a novel poro-damage-viscoelastic model for predicting the failure response of fluid-saturated porous geomaterials. The Generalized Maxwell model is introduced for the representation of the viscoelastic behavior of the solid skeleton, which is achieved by a standard Prony-series type expansion. Damage regularization is obtained by an non-local integral-type formulation and damage behavior is described by Mazars model with the modified von Mises-type equivalent strain measure. The poromechanics parameters (Biot's coefficient, Biot's modulus) are functions of damage, and the fluid flow obeys Darcy's seepage law in the entire domain, while the permeability is assumed to be anisotropic and strain dependent. The coupled system is discretized in time using a backward Euler scheme. The non-linear system is linearized using a Newton Raphson scheme and solved monolithically every time step. A consistent Jacobian matrix and residual vector are derived analytically. Several numerical examples are studied in order to investigate the performance of the proposed approach, including (i) a column undergoing hysteresis from cyclic loading, stress relaxation, creep and variable strain rate loading tests and (ii) fluid-driven fracturing in a 2D poro-viscoelastic domain. The numerical time-dependent results exhibit mesh insensitivity for all field variables, and confirm the feasibility and applicability of the proposed non-local damage model for simulating hydraulic fracture.

KW - Hydraulic fracture

KW - Non-local damage

KW - Poro-damage-viscoelasticity coupling

KW - Saturated porous media

KW - Strain-based permeability

UR - http://www.scopus.com/inward/record.url?scp=85143484447&partnerID=8YFLogxK

U2 - 10.1016/j.ijrmms.2022.105212

DO - 10.1016/j.ijrmms.2022.105212

M3 - Article

AN - SCOPUS:85143484447

VL - 159.2022

JO - International Journal of Rock Mechanics and Mining Sciences

JF - International Journal of Rock Mechanics and Mining Sciences

SN - 1365-1609

IS - November

M1 - 105212

ER -