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首页> 外文期刊>International Journal of Heat and Fluid Flow >Upscaling LBM-TPM simulation approach of Darcy and non-Darcy fluid flow in deformable, heterogeneous porous media
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Upscaling LBM-TPM simulation approach of Darcy and non-Darcy fluid flow in deformable, heterogeneous porous media

机译：达西和非达西流体流动升高的LBM-TPM模拟方法可变形，异构多孔介质

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This paper presents a numerical approach for the simulation of fluid flow through porous media by proposing a theoretical and numerical meso-to-macro multiscale framework, which combines the advantages of the lattice Boltzmann method (LBM) with the continuum Theory of Porous Media (TPM) to efficiently and accurately model fluid transport in heterogeneous porous media. In particular, LBM presents an alternative to experiments by studying the flow from a mesoscopic perspective, which in turn, allows the derivation of the material parameters needed for simulating the flow in the macroscopic TPM model. In this work, a meso-macro hierarchic upscaling scheme is applied to investigate the deformation-dependent intrinsic permeability properties and the Darcyon-Darcy fluid flow regime. Concerning the mesoscale, the intrinsic permeability of the porous domain is computed by means of the LBM model at the first stage. Subsequently, deformation of the medium takes place in furtherance of determining the relation of the aforementioned deformation dependency. Thereupon, these findings are input into the TPM model in order to compute the primary unknown variables, where special focus is laid on the stability challenges in the compaction and near compaction states. With respect to the criteria of non-Darcy fluid flow, the conditions of its onset, i.e. the induced pressure gradient and mean fluid flow velocity, are computed as well using the LBM solver and conveyed afterwards to the macroscopic TPM model. Herein, the non-Darcy intrinsic permeability has been investigated in the TPM approach based on the Forchheimer equation. Simulations done on a synthetic porous micro-structure show that the combined framework proved to stand well between the two approaches.
机译：本文介绍了通过提出理论和数值介质的多孔介质通过多孔介质模拟流体流动的数值方法，这将晶格Boltzmann方法（LBM）与多孔介质的连续介质理论相结合（TPM ）以有效准确地模拟异质多孔介质中的流体输送。特别地，LBM通过研究从介于介面的角度来看的流程来替代，这又允许在宏观TPM模型中模拟流动所需的材料参数来实现。在这项工作中，应用了Meso-Macro级升级方案来研究依赖性依赖性的内在渗透性和达西/非达西液流量。关于Messcale，多孔结构域的内在渗透性通过第一阶段的LBM模型计算。随后，介质的变形进行更促进确定上述变形依赖性的关系。于是，这些发现被输入到TPM模型中，以计算主要未知变量，其中特别焦点奠定了压实和附近压实状态的稳定性挑战。关于非达西液流量的标准，其发作的条件，即诱导的压力梯度和平均流体流速，并使用LBM求解器进行计算，并以后传送到宏观TPM模型。在此，基于前轮方程的TPM方法研究了非达西固有渗透性。在合成多孔微结构上进行的模拟表明，组合框架在两种方法之间证明是良好的。

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