A PHASE-FIELD METHOD FOR PROPAGATING FLUID-FILLED FRACTURES COUPLED TO A SURROUNDING POROUS MEDIUM
A PHASE-FIELD METHOD FOR PROPAGATING FLUID-FILLED FRACTURES COUPLED TO A SURROUNDING POROUS MEDIUM
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DOI：
10.1137/140967118
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发表时间：
2015-01-01
影响因子：
1.6
通讯作者：
Wick, Thomas
中科院分区：
文献类型：
--
作者：
Mikelic, Andro;Wheeler, Mary F.;Wick, Thomas
最近引入的多孔介质中加压裂缝的相场方法为裂缝的数值模拟提供了各种有吸引力的计算特征，例如可能异质介质中的连接、分支和非平面传播。在本文中，加压相场框架扩展到充满流体的裂缝，其中压力是根据广义抛物线衍射问题计算的。这里，相场变量被用作结合储层压力和裂缝压力的指示函数。由此产生的三场框架（弹性、相场、压力）是一个基于毕奥方程的多尺度问题。所提出的数值求解算法使用固定应力分裂迭代解耦方程。该框架通过二维和三维的多项数值基准测试得到证实。
The recently introduced phase-field approach for pressurized fractures in a porous medium offers various attractive computational features for numerical simulations of cracks such as joining, branching, and nonplanar propagation in possibly heterogeneous media. In this paper, the pressurized phase-field framework is extended to fluid-filled fractures in which the pressure is computed from a generalized parabolic diffraction problem. Here, the phase-field variable is used as an indicator function to combine reservoir and fracture pressure. The resulting three-field framework (elasticity, phase field, pressure) is a multiscale problem that is based on the Biot equations. The proposed numerical solution algorithm iteratively decouples the equations using a fixed-stress splitting. The framework is substantiated with several numerical benchmark tests in two and three dimensions.