Numerical investigation of the flow regimes through hydraulic fractures using the X-FEM technique
Numerical investigation of the flow regimes through hydraulic fractures using the X-FEM technique
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DOI：
10.1016/j.engfracmech.2016.11.017
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发表时间：
2017
影响因子：
5.4
通讯作者：
M. Vahab;N. Khalili
中科院分区：
文献类型：
--
作者：
M. Vahab;N. Khalili
本文提出了一种扩展的有限元列式，以研究压裂液的不同流动状态对水力压裂过程的影响。为此，通过水力裂缝的压裂流体的流入和连续性方程以被称为交错牛顿法的顺序方式结合本体的动量平衡方程来求解。应用雷诺数是为了识别层流或湍流状态沿着流动路径线的发展。由于沿沿着水力压裂面的摩擦而导致的能头损失使用Darcy-Weisbach方程并入，这又导致引入与每个流态相关联的流体压力的特定剖面。最后，通过几个数值模拟，说明了所开发的框架的鲁棒性，并展示了其在水力压裂问题研究中的意义。
In this paper, an extended finite element formulation is proposed in order to investigate the effects of different flow regimes of the fracturing fluid on the hydraulic fracturing process. To this end, the inflow and continuity equations of the fracturing fluid through the hydro-fracture are solved in conjunction with the momentum balance equation of the bulk in a sequential manner known as the staggered Newton method. The Reynolds number is applied in order to recognize the development of the laminar or turbulent flow regimes along the flow path line. The loss in energy head due to friction along the hydro-fracture faces is incorporated using the Darcy-Weisbach equation, which in turn leads to the introduction of a specific profile for the fluid pressure associated with each flow regime. At the end, through several numerical simulations the robustness of the developed framework is illustrated, and its significance in the study of hydraulic fracturing problem is demonstrated.