论文标题
毛弹性培养基中水力相位骨折的全局本地方法
A global-local approach for hydraulic phase-field fracture in poroelastic media
论文作者
论文摘要
在这项工作中，多孔培养基中液压骨折的相位模型扩展到全球局部方法。在其中，仅在（小）局部域中分析故障行为。在周围的介质中，解决了简化和线性化的方程系统。两种域都由罗宾型接口条件结合。允许局部域内的断裂传播，因此两个子域在时间内发生变化。在这里，采用了一种预测校正策略，其中将局部域动态调整为当前的断裂模式。所得框架详细描述了算法，并通过一些数值测试进行了证实。
In this work, phase-field modeling of hydraulic fractures in porous media is extended towards a global-local approach. Therein, the failure behavior is solely analyzed in a (small) local domain. In the surrounding medium, a simplified and linearized system of equations is solved. Both domains are coupled by Robin-type interface conditions. The fracture(s) inside the local domain are allowed to propagate and consequently both subdomains change within time. Here, a predictor-corrector strategy is adopted in which the local domain is dynamically adjusted to the current fracture pattern. The resulting framework is algorithmically described in detail and substantiated with some numerical tests.
