Simulation of hydraulic fracture of porous materials using the phase‐field modeling approach
Simulation of hydraulic fracture of porous materials using the phase‐field modeling approach
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DOI：
10.1002/pamm.201610212
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发表时间：
2016-10
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影响因子：
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通讯作者：
Y. Heider;B. Markert
中科院分区：
文献类型：
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作者：
Y. Heider;B. Markert
在这篇文章中，流体饱和多孔材料的水力压裂的数值模拟进行了连续介质力学尺度上使用多孔介质理论（TPM），相场模型（PFM）的方法扩展。在此之后，可以实现诸如裂纹成核和扩展、固体基质变形以及裂纹区域中的间隙流体流动从达西流变为斯托克斯流的行为。此外，永久性的变化，由于发生的裂纹，如体积分数和渗透性的局部物理，考虑。这个问题的数学建模产生了一个强耦合的微分代数方程组（DAE）。因此，一个稳定和有效的解决方案，需要特殊的离散化计划。为了揭示所提出的模型的能力，模拟水力开裂的重要特征，一个二维的例子，使用有限元方法。（© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA，魏因海姆）
In this contribution, the numerical simulation of hydraulic fracture of fluid‐saturated porous materials is carried out on a continuum‐mechanical scale using the theory of porous media (TPM), extended by a phase‐field modeling (PFM) approach. Following this, behaviors such as crack nucleation and propagation, solid matrix deformation and interstitial‐fluid flow change from Darcy to Stokes‐like flow in the cracked region can be realized. Moreover, permanent changes of the local physics due to occurrence of the crack, such as of the volume fractions and the permeability, are taken into consideration. The mathematical modeling of this problem yields a strongly coupled system of differential algebraic equations (DAE). Thus, special descretization schemes for a stable and efficient solution are needed. To reveal the ability of the proposed model to simulate the important features of hydraulic cracking, a two‐dimensional example using the finite element method is presented. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)