Cracking and damage from crystallization in pores: Coupled chemo-hydro-mechanics and phase- eld modeling
Jinhyun Choo WaiChing Sun
Abstract
Cracking and damage from crystallization of minerals in pores center on a wide range of problems, from weathering and deterioration of structures to storage of CO2 via in situ carbonation. Here we develop a theoretical and computational framework for modeling these crystallization-induced de- formation and fracture in infiltrated porous materials. Conservation laws are formulated for coupled chemo-hydro-mechanical processes in a multiphase material composed of the solid matrix, liquid solution, gas, and crystals. We then derive an expression for the effective stress tensor that is energy-conjugate to the strain rate of a porous material containing crystals growing in pores. is form of effective stress incorporates the excess pore pressure exerted by crystal growth—the crystallization pressure—which has been recognized as the direct cause of deformation and fracture during crystallization in pores. Continuum thermodynamics is further exploited to formalize a constitutive framework for porous media subject to crystal growth. e chemo-hydro-mechanical model is then coupled with a phase- eld approach to fracture which enables simulation of complex fractures without explicitly tracking their geometry. For robust and e cient solution of the initial-boundary value problem at hand, we utilize a combination of nite element and nite volume methods and devise a block-partitioned preconditioning strategy. rough numerical examples we demonstrate the capability of the proposed framework for simulating complex interactions among unsaturated ow, crystallization kinetics, and cracking in the solid matrix. [PDF]
Jinhyun Choo WaiChing Sun
Abstract
Cracking and damage from crystallization of minerals in pores center on a wide range of problems, from weathering and deterioration of structures to storage of CO2 via in situ carbonation. Here we develop a theoretical and computational framework for modeling these crystallization-induced de- formation and fracture in infiltrated porous materials. Conservation laws are formulated for coupled chemo-hydro-mechanical processes in a multiphase material composed of the solid matrix, liquid solution, gas, and crystals. We then derive an expression for the effective stress tensor that is energy-conjugate to the strain rate of a porous material containing crystals growing in pores. is form of effective stress incorporates the excess pore pressure exerted by crystal growth—the crystallization pressure—which has been recognized as the direct cause of deformation and fracture during crystallization in pores. Continuum thermodynamics is further exploited to formalize a constitutive framework for porous media subject to crystal growth. e chemo-hydro-mechanical model is then coupled with a phase- eld approach to fracture which enables simulation of complex fractures without explicitly tracking their geometry. For robust and e cient solution of the initial-boundary value problem at hand, we utilize a combination of nite element and nite volume methods and devise a block-partitioned preconditioning strategy. rough numerical examples we demonstrate the capability of the proposed framework for simulating complex interactions among unsaturated ow, crystallization kinetics, and cracking in the solid matrix. [PDF]
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