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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Enriched three-field numerical manifold formulation for dynamics of fractured saturated porous media
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Enriched three-field numerical manifold formulation for dynamics of fractured saturated porous media

机译：丰富的三场数值流形公式，用于饱和多孔介质的破裂动力学

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In terms of the three-field (u-w-p) formulation of Biot's theory of saturated porous media with incompressible solid and fluid phases, the numerical manifold method (NMM) models are developed to analyze the fully dynamic consolidation of fractured porous media in this study. The same approximation to fluid velocity and skeleton displacement is constructed which is capable of modeling both incompressible and compressible deformation, while two types of approximations to pore pressure field are established. Since the inertial effect of fluid is not neglected, the proposed model can fully capture the dynamic behavior of porous media, especially under the impact or high-frequency loading condition and, accordingly, exhibits apparent superiority in predicting transient and wave propagation responses of cracked porous media. Moreover, low order interpolation functions for primal variables and the most flexible three-node triangular finite element mesh are used, which both are difficult to implement using other partition of unity (PU) based numerical methods in terms of Biot's two-field formulation. Also, the discontinuities can be modeled more naturally in the NMM framework in comparison with XFEM or PNM. Meanwhile, an augmented Lagrange multiplier method for stick-slip contact model is first incorporated into fully-dynamic three-field Biot' formulation. In addition, a mass lumping technique within NMM framework, which turns out to be a unique advantage of NMM over other numerical methods, is employed to suppress unphysical oscillations and increase computational efficiency. Energy balance condition is employed to evaluate the stability and accuracy of the time integration scheme. The robustness and versatility of the proposed models are manifested with several typical examples. (C) 2019 Elsevier B.V. All rights reserved.
机译：根据Biot具有不可压缩固相和固相的饱和多孔介质的三场（u-w-p）公式，开发了数值流形方法（NMM）模型来分析裂隙多孔介质的全动态固结。建立了相同的流体速度和骨架位移近似值，能够模拟不可压缩和可压缩变形，同时建立了两种类型的孔隙压力场近似值。由于不会忽略流体的惯性效应，因此所提出的模型可以完全捕获多孔介质的动力学行为，尤其是在冲击或高频载荷条件下，因此在预测裂隙多孔介质的瞬态和波传播响应方面表现出明显的优势。媒体。此外，使用了用于原始变量的低阶插值函数和最灵活的三节点三角形有限元网格，这两种方法都难以根据比奥（Biot）的两场公式使用基于单位的其他分区（PU）数值方法来实现。而且，与XFEM或PNM相比，可以在NMM框架中更自然地对不连续性进行建模。同时，用于粘滑接触模型的增强拉格朗日乘数法首先被引入到全动态三场Biot'公式中。此外，NMM框架内的质量集总技术被证明是NMM相对于其他数值方法的独特优势，可用来抑制非物理振荡并提高计算效率。利用能量平衡条件来评估时间积分方案的稳定性和准确性。所提出的模型的鲁棒性和多功能性通过几个典型的例子得以体现。 （C）2019 Elsevier B.V.保留所有权利。

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