Energetic formulation of large‐deformation poroelasticity

نویسندگان

چکیده

The modeling of coupled fluid transport and deformation in a porous medium is essential to predict the various geomechanical process such as CO2 sequestration, hydraulic fracturing, so on. Current applications interest, for instance, that include fracturing or damage solid phase, require nonlinear description large deformations can occur. This paper presents variational energy-based continuum mechanics framework model large-deformation poroelasticity. approach begins from total free energy density additively composed components. A procedure then provides balance momentum, balance, pressure relations. numerical based on finite elements applied analyze behavior saturated unsaturated media using constitutive skeleton. Examples studied Terzaghi Mandel problems; gas-liquid phase-changing fluid; multiple immiscible gases; systems where we injection into soil. proposed potentially have advantages methods well combining with data-driven models Bayesian framework.

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ژورنال

عنوان ژورنال: International Journal for Numerical and Analytical Methods in Geomechanics

سال: 2022

ISSN: ['1096-9853', '0363-9061']

DOI: https://doi.org/10.1002/nag.3326