A multi-resolution approach to hydraulic fracture simulation
A multi-resolution approach to hydraulic fracture simulation
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DOI：
10.1007/s10704-022-00662-y
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发表时间：
2022-07
影响因子：
2.5
通讯作者：
A. Costa;M. Cusini;T. Jin;R. Settgast;J. Dolbow
中科院分区：
文献类型：
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作者：
A. Costa;M. Cusini;T. Jin;R. Settgast;J. Dolbow
我们提出了一种多分辨率的方法来构建基于模型的水力压裂模拟，其中通过多孔介质的流动与流体驱动的裂缝相耦合。该方法由一种混合格式组成，该格式将全局域的离散裂纹表示与裂纹尖端附近局部子域的相场表示耦合在一起。多分辨率方法解决了诸如精确水力裂缝模拟的计算费用以及从弥漫性裂缝表示中重建裂缝孔径的困难等问题。在全局范围内，考虑了位移和压力的耦合方程组。假定裂纹几何形状是固定的，并且位移场充满了不连续函数。在局部子域的裂纹尖端周围，动态实例化相场子问题以在任意、网格无关的方向上传播裂缝。采用有限体积离散和有限元离散相结合的方法对控制方程和控制场进行了近似。通过水力压裂中的各种基准问题，以及围绕刚性包裹体的流体驱动裂纹扩展的新研究，证明了该方法的有效性。
We present a multi-resolution approach for constructing model-based simulations of hydraulic fracturing, wherein flow through porous media is coupled with fluid-driven fracture. The approach consists of a hybrid scheme that couples a discrete crack representation in a global domain to a phase-field representation in a local subdomain near the crack tip. The multi-resolution approach addresses issues such as the computational expense of accurate hydraulic fracture simulations and the difficulties associated with reconstructing crack apertures from diffuse fracture representations. In the global domain, a coupled system of equations for displacements and pressures is considered. The crack geometry is assumed to be fixed and the displacement field is enriched with discontinuous functions. Around the crack tips in the local subdomains, phase-field sub-problems are instantiated on the fly to propagate fractures in arbitrary, mesh independent directions. The governing equations and fields in the global and local domains are approximated using a combination of finite-volume and finite element discretizations. The efficacy of the method is illustrated through various benchmark problems in hydraulic fracturing, as well as a new study of fluid-driven crack growth around a stiff inclusion.