In this paper a problem of numerical simulation of hydraulic fractures is considered. An efficient algorithm of solution, based on the universal scheme introduced earlier by the authors for the fractures propagating in elastic solids, is proposed. The algorithm utilizes a FEM based subroutine to compute deformation of the fractured material. Consequently, the computational scheme retains the relative simplicity of its original version and simultaneously enables one to deal with more advanced cases of the fractured material properties and configurations. In particular, the problems of poroelasticity, plasticity and spatially varying properties of the fractured material can be analyzed. The accuracy and efficiency of the proposed algorithm are verified against analytical benchmark solutions. The algorithm capabilities are demonstrated using the example of the hydraulic fracture propagating in complex geological settings.
翻译:本文考虑了液压断裂的数值模拟问题,根据作者早先对弹性固体中散布的骨折采用的普遍办法,提出了一个有效的解决办法算法,该算法利用基于FEM的子例程来计算断裂材料的变形,因此,计算法保持原版的相对简单性,同时使一个人能够处理更先进的断裂物质特性和配置案例,特别是可分析断裂材料的孔径性、可塑性和空间差异性的问题。提议的算法的准确性和效率根据分析基准解决办法加以核实。算法能力通过复杂的地质环境中液压断裂传播的例子加以证明。