Phase-field methods have the potential to simulate large scale evolution of networks of fractures in porous media without the need to explicitly track interfaces. Practical field simulations require however that robust and efficient decoupling techniques can be applied for solving these complex systems. In this work, we focus on the mechanics-step that involves the coupling of elasticity and the phase-field variable. We develop a multirate scheme in which a coarser time grid is employed for the mechanics equation (i.e., the displacements) and a finer time grid is taken for the phase-field problem. The performance of this algorithm is demonstrated for two test cases.

中文翻译：

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多孔介质中压力驱动裂缝扩展的具有稳定迭代耦合的相场多速率方案

相场方法有潜力模拟多孔介质中裂缝网络的大规模演化，而无需明确跟踪界面。然而，实际的现场模拟要求将强大而有效的去耦技术应用于解决这些复杂的系统。在这项工作中，我们专注于涉及弹性和相场变量耦合的力学步骤。我们开发了一种多速率方案，其中将较粗的时间网格用于力学方程（即位移），并将较细的时间网格用于相场问题。在两个测试案例中证明了该算法的性能。