Integrated models for fluid-driven fracture propagation and general multiphase flow in porous media are valuable to the study and engineering of several systems, including hydraulic fracturing, underground disposal of waste, and geohazard mitigation across such applications. This work extends the coupled model multiphase flow and poromechanical model of \cite{ren2018embedded} to admit fracture propagation (FP). The coupled XFEM-EDFM scheme utilizes a separate fracture mesh that is embedded on a static background mesh. The onset and dynamics of fracture propagation (FP) are governed by the equivalent stress intensity factor (SIF) criterion. A domain-integral method (J integral) is applied to compute this information. An adaptive time-marching scheme is proposed to rapidly restrict and grow temporal resolution to match the underlying time-scales. The proposed model is verified with analytical solutions, and shows the capability to accurately and adaptively co-simulate fluid transport and deformation as well as the propagation of multiple fractures.

中文翻译：

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使用嵌入网格的耦合孔隙水力学和裂缝扩展的综合数值模型

多孔介质中流体驱动裂缝扩展和一般多相流的集成模型对于多个系统的研究和工程很有价值，包括水力压裂、地下废物处理和此类应用中的地质灾害缓解。这项工作扩展了\cite{ren2018embedded} 的耦合模型多相流和多孔力学模型，以承认裂缝扩展（FP）。耦合 XFEM-EDFM 方案利用嵌入在静态背景网格上的单独裂缝网格。裂缝扩展 (FP) 的开始和动力学由等效应力强度因子 (SIF) 准则控制。应用域积分方法（J 积分）来计算此信息。提出了一种自适应时间推进方案，以快速限制和增加时间分辨率以匹配基础时间尺度。