講演情報
[U02-P04]Phase-field modeling of interfacial anisotropy in geophysical processes of crystallization, dissolution and fracture
*Nishant Prajapati1、Daniel Schneider1,2,3、Britta Nestler1,2,3 (1.Institute of Nanotechnology - Microstructure Simulation (INT-MSS), Karlsruhe Institute of Technology (KIT)、2.Institute of Digital Materials Science (IDM), Karlsruhe University of Applied Sciences、3.Institute for Applied Materials - Microstructure Modelling and Simulation (IAM-MMS), Karlsruhe Institute of Technology (KIT))
キーワード：
phase field method、anisotropy formulation、microscale modeling
Microstructural processes such as crystallization, dissolution, and fracture growth fundamentally control the evolution of porosity and permeability in geological materials (like sandstones), with direct implications for larger-scale geophysical behavior up to the reservoir scale. These phenomena are driven by distinct thermodynamic forces and are strongly influenced by anisotropic interfacial energies, posing major challenges for quantitatively accurate and physically consistent modeling. The phase field method has emerged as a powerful numerical modeling approach for treating such moving boundary problems, as it does not require explicit interface tracking. However, existing formulations of interfacial anisotropy are often introduced in an ad hoc manner and lack physical consistency, fundamentally limiting their quantitative predictability across different processes.
In this work, we present a generalized and physically consistent mathematical approach for incorporating anisotropic interfacial energies across distinct phase-field models of crystallization, dissolution, and fracture. The core idea is to ensure that mathematical formulations for anisotropic contributions are consistently embedded in the underlying free energy functional, thereby preserving the interface profiles and enabling a quantitative reproduction of prescribed interfacial energies. The approach provides a generalized mathematical structure for interfacial anisotropy that can be directly integrated into different phase field models, independent of the specific physical process under consideration.
Rigorous numerical validation for anisotropic fracture, a previously unaddressed challenge in phase field fracture modeling, demonstrates quantitative agreement with theoretical predictions and established benchmarks. By providing a physically consistent representation of interfacial anisotropy at the microscale, this framework significantly enhances the predictive fidelity of phase field models for microstructural evolution in complex geophysical materials and offers robust tools to analyze anisotropy driven interface dynamics in heterogeneous rock systems.
In this work, we present a generalized and physically consistent mathematical approach for incorporating anisotropic interfacial energies across distinct phase-field models of crystallization, dissolution, and fracture. The core idea is to ensure that mathematical formulations for anisotropic contributions are consistently embedded in the underlying free energy functional, thereby preserving the interface profiles and enabling a quantitative reproduction of prescribed interfacial energies. The approach provides a generalized mathematical structure for interfacial anisotropy that can be directly integrated into different phase field models, independent of the specific physical process under consideration.
Rigorous numerical validation for anisotropic fracture, a previously unaddressed challenge in phase field fracture modeling, demonstrates quantitative agreement with theoretical predictions and established benchmarks. By providing a physically consistent representation of interfacial anisotropy at the microscale, this framework significantly enhances the predictive fidelity of phase field models for microstructural evolution in complex geophysical materials and offers robust tools to analyze anisotropy driven interface dynamics in heterogeneous rock systems.