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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >A stabilized mixed discontinuous Galerkin formulation for double porosity/permeability model
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A stabilized mixed discontinuous Galerkin formulation for double porosity/permeability model

机译：用于双孔隙率/渗透性模型的稳定混合不连续的Galerkin配方

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Modeling flow through porous media with multiple pore-networks has now become an active area of research due to recent technological endeavors like geological carbon sequestration and recovery of hydrocarbons from tight rock formations. Herein, we consider the double porosity/permeability (DPP) model, which describes the flow of a single-phase incompressible fluid through a porous medium exhibiting two dominant pore-networks with a possibility of mass transfer across them. We present a stable mixed discontinuous Galerkin (DG) formulation for the DPP model. The formulation enjoys several attractive features. These include: (i) Equal-order interpolation for all the field variables (which is the most convenient for computer implementation) is stable under the proposed formulation. (ii) The stabilization terms are residual-based, and the stabilization parameters do not contain any mesh-dependent parameters. (iii) The formulation is theoretically shown to be consistent, stable, and hence convergent. (iv) The formulation supports non-conforming discretization and distorted meshes. (v) The DG formulation has improved element-wise (local) mass balance compared to the corresponding continuous formulation. (vi) The proposed formulation can capture physical instabilities in coupled flow and transport problems under the DPP model. (C) 2019 Elsevier B.V. All rights reserved.
机译：由于最近的技术努力等地质碳封存和来自紧密岩层的碳氢化合物回收的技术努力，模拟流动通过多孔介质具有多孔介质的活跃研究领域。在此，我们考虑双孔隙率/渗透率（DPP）模型，其描述了通过具有两种主孔网络的多孔介质流过具有批量转移的多孔介质的单相可不可压缩流体的流动。我们为DPP模型提供了一种稳定的混合不连续的Galerkin（DG）配方。该配方享有多种有吸引力的特色。这些包括：（i）所有场变量的平等插值（这是计算机实现最方便的）在提出的配方下是稳定的。 （ii）稳定术语是基于残留的，稳定参数不含任何网格依赖性参数。 （iii）理论上显示该配方是一致的，稳定的，并因此的收敛。 （iv）配方支持不合规的离散化和扭曲的网格。 （v）与相应的连续配方相比，DG配方改善了元素 - 明智（局部）质量平衡。 （vi）所提出的配方可以在DPP模型下捕获耦合流量和运输问题的物理稳定性。 （c）2019 Elsevier B.v.保留所有权利。

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