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Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model

机译:自适应有限元相场模型在多孔介质中压力和流体驱动的裂缝扩展中

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This work presents phase field fracture modeling in heterogeneous porous media. We develop robust and efficient numerical algorithms for pressure-driven and fluid-driven settings in which the focus relies on mesh adaptivity in order to save computational cost for large-scale 3D applications. In the fluid-driven framework, we solve for three unknowns pressure, displacements and phase field that are treated with a fixed-stress iteration in which the pressure and the displacement-phase-field system are decoupled. The latter subsystem is solved with a combined Newton approach employing a primal-dual active set method in order to account for crack irreversibility. Numerical examples for pressurized fractures and fluid filled fracture propagation in heterogeneous porous media demonstrate our developments. In particular, mesh refinement allows us to perform systematic studies with respect to the spatial discretization parameter. (C) 2016 Elsevier B.V. All rights reserved.
机译:这项工作提出了非均质多孔介质中的相场裂缝建模。我们为压力驱动和流体驱动的设置开发了强大而有效的数值算法,其中的重点在于网格自适应性,从而节省了大规模3D应用程序的计算成本。在流体驱动的框架中,我们解决了三个未知压力,位移和相场的问题,这些问题通过固定应力迭代进行处理,其中压力和位移相场系统是分离的。后者的子系统采用结合牛顿方法的方法进行求解,该方法采用原始对偶主动集方法,以解决裂纹不可逆性问题。在非均质多孔介质中加压裂缝和充满流体的裂缝扩展的数值例子证明了我们的发展。特别地,网格细化允许我们针对空间离散化参数执行系统的研究。 (C)2016 Elsevier B.V.保留所有权利。

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