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A consistent phase field model for hydraulic fracture propagation in poroelastic media

机译：多孔弹性介质中液压断裂传播的一致阶段场模型

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摘要

We present a novel phase field method for modeling hydraulic fracture propagation in poroelastic media. In this approach, a new phase field evolution equation is derived to account for damage dependent poro-elastic parameters (Biot's coefficient, Biot's modulus and porosity). The fluid flow obeys Darcy's seepage law in the entire domain including the damage zone, where the rock permeability is assumed to be anisotropic, following the maximum principal strain. The fully coupled problem is solved by a staggered scheme in which the mechanical equilibrium and fluid flow equations are linearized and solved using a Newton-Raphson(NR) method. Several numerical results are presented to investigate the effectiveness of the proposed formulation. First, stability and convergence of the method are verified on a set of benchmark problems considering different time steps and mesh sizes. Second, it is shown that if the poroelastic parameters are kept constant and do not change with the phase field parameter, i.e. reducing to standard phase field approaches in the literature, the model will tend to underestimate the fracture length and overestimate the pore pressure. Finally, we study the interaction of a propagating hydraulic fracture in porous media with inclined natural fractures, and simulate the hydraulic fracture propagation with different perforation phase angle. (C) 2020 Elsevier B.V. All reserved.
机译：我们提出了一种新型相现场方法，用于在孔弹性介质中建模液压断裂繁殖。在这种方法中，推导出新的相场演化方程以解释损伤依赖的浮子弹性参数（Biot系数，Biot模量和孔隙率）。在最大主要菌株之后，流体流动obeys达西在包括损伤区的整个域中的渗流法，其中假设岩石渗透性是各向异性的。通过交错方案解决了完全耦合的问题，其中使用牛顿-Raphson（NR）方法线性化并解决了机械平衡和流体流动方程。提出了几种数值结果以研究所提出的制剂的有效性。首先，在考虑不同时间步长和网格尺寸的一组基准问题上验证了该方法的稳定性和融合。其次，示出了，如果多孔弹性参数保持恒定并且不随相位参数而改变，即在文献中减少标准相位现场方法，该模型将倾向于低估骨折长度并高估孔隙压力。最后，我们研究繁殖液压骨折在多孔介质中具有倾斜的自然裂缝的相互作用，并模拟具有不同穿孔相位角的液压断裂传播。 （c）2020 Elsevier B.v.所有保留。

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  • 来源
    《Computer Methods in Applied Mechanics and Engineering》 |2020年第2期|113396.1-113396.27|共27页
  • 作者

    Yi Liang-Ping; Waisman Haim; Yang Zhao-Zhong; Li Xiao-Gang;

  • 作者单位

    Southwest Petr Univ Sch Mechatron Engn Chengdu 610500 Peoples R China|Southwest Petr Univ State Key Lab Oil & Gas Reservoir Geol & Exploita Xindu Ave 8 Chengdu 610500 Peoples R China;

    Columbia Univ Dept Civil Engn & Engn Mech New York NY 10027 USA;

    Southwest Petr Univ State Key Lab Oil & Gas Reservoir Geol & Exploita Xindu Ave 8 Chengdu 610500 Peoples R China;

    Southwest Petr Univ State Key Lab Oil & Gas Reservoir Geol & Exploita Xindu Ave 8 Chengdu 610500 Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Hydraulic fracture; Phase field method; Porous media; Natural fracture; Perforation;

    机译：液压骨折;相场法;多孔介质;自然骨折;穿孔;

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