IPACS: Integrated Phase-Field Advanced Crack Propagation Simulator. An adaptive, parallel, physics-based-discretization phase-field framework for fracture propagation in porous media
IPACS: Integrated Phase-Field Advanced Crack Propagation Simulator. An adaptive, parallel, physics-based-discretization phase-field framework for fracture propagation in porous media
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DOI：
10.1016/j.cma.2020.113124
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发表时间：
2020-08
影响因子：
7.2
通讯作者：
M. Wheeler;T. Wick;Sanghyu Lee
中科院分区：
文献类型：
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作者：
M. Wheeler;T. Wick;Sanghyu Lee
在这项工作中，我们回顾并描述了解决多孔介质中多物理场相场断裂问题的计算框架。其中，解决了以下五个耦合的非线性物理模型：位移（地质力学），相场变量，以指示裂缝的位置，压力方程（描述流动），支撑剂浓度方程，和/或饱和度方程的两相裂缝流动，最后是有限元裂缝宽度问题。整体耦合问题的解决与交错的解决方案的方法，已知在地下建模为固定应力迭代。主要关注点是基于物理的离散化。位移-相场系统和裂纹宽度问题采用Galerkin有限元。压力方程采用了丰富的Galerkin公式。对于支撑剂和/或饱和度方程采用使用熵消失粘度的进一步富集。一个强大的和有效的准单片半光滑牛顿求解器，局部网格自适应性，和并行实现允许有竞争力的计算成本方面的时间。我们的框架可以处理二维和三维的现实领域和实验室的例子。由此产生的程序是一个名为IPACS（集成相场高级裂纹扩展模拟器）的内部代码，并基于有限元库deal。本文件中包括代表性的数值示例。
In this work, we review and describe our computational framework for solving multiphysics phase-field fracture problems in porous media. Therein, the following five coupled nonlinear physical models are addressed: displacements (geo-mechanics), a phase-field variable to indicate the fracture position, a pressure equation (to describe flow), a proppant concentration equation, and/or a saturation equation for two-phase fracture flow, and finally a finite element crack width problem. The overall coupled problem is solved with a staggered solution approach, known in subsurface modeling as the fixed-stress iteration. A main focus is on physics-based discretizations. Galerkin finite elements are employed for the displacement-phase-field system and the crack width problem. Enriched Galerkin formulations are used for the pressure equation. Further enrichments using entropy-vanishing viscosity are employed for the proppant and/or saturation equations. A robust and efficient quasi-monolithic semi-smooth Newton solver, local mesh adaptivity, and parallel implementations allow for competitive timings in terms of the computational cost. Our framework can treat two- and three-dimensional realistic field and laboratory examples. The resulting program is an in-house code named IPACS (Integrated Phase-field Advanced Crack Propagation Simulator) and is based on the finite element library deal.II. Representative numerical examples are included in this document.