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A finite deformation formulation for reacting porous media with volume change
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DOI：10.1016/j.jmps.2026.106811.png)
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Abstract
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We develop a finite-deformation theory for reacting porous media consisting of a fluid and two solid phases (reactant and product). The central contribution is a kinematic and constitutive framework that distinguishes reaction-induced volume changes that merely fill pore space from those that generate stress in the solid skeleton. This distinction is introduced through a distention-based decomposition of the deformation and a free-energy split into isochoric and distention components. The theory also accounts for the evolving mechanical character of the skeleton by allowing its effective strength to update continuously as reactant is converted to product. In addition, we derive a generalized Darcy-like relative flux that consistently incorporates fluid consumption by reaction and a thermodynamic driving force through the gradient of the exchange potential τ, a feature missing from standard reactive transport theories. The governing equations are formulated in the reference configuration and cast in weak form for finite element implementation. Verification against analytical and standard poromechanics benchmarks demonstrates consistency of the formulation, and in the small-strain, non-reactive limit the theory reduces to Biot poromechanics with B=1.
Keywords:
poromechanics
reacting porous media
finite deformation
serpentinization
modified Darcy flux
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