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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：富集三场数值歧管配方，用于裂缝饱和多孔介质的动态

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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：就Biot的饱和多孔介质理论的三场（U-W-P）配制具有不可压缩的固体和流体阶段，开发了数值歧管方法（NMM）模型，以分析该研究中裂缝多孔介质的全动态固结。构造了与流体速度和骨架位移的相同近似，其能够建模不可压缩和可压缩变形，而建立了两种类型的孔隙压力场的近似。由于流体的惯性效应未被忽略，所提出的模型可以充分捕获多孔介质的动态行为，尤其是在冲击或高频负载条件下，因此在预测裂纹多孔的瞬态和波传播响应方面表现出明显的优势媒体。此外，使用用于原始变量的低阶插值功能和最灵活的三节点三角形有限元网，这两者都难以在Biot的双场制定方面使用基于单位的数值方法（PU）的数值方法来实现。此外，与XFEM或PNM相比，不连续性可以在NMM框架中更自然地建模。同时，首先将增强拉格朗日乘法器方法融合到完全动态的三场Biot'配方中。另外，在NMM框架内的质量集体技术，其原因在于在其他数值方法上成为NMM的独特优势，用于抑制不经关孔的振荡并提高计算效率。能量平衡条件用于评估时间整合方案的稳定性和准确性。拟议模型的鲁棒性和多功能性表现出几种典型的例子。 （c）2019 Elsevier B.v.保留所有权利。

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