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An Experimental-based Numerical Simulation of Two Phase Flow Through Porous Media: A Comparative Study on Finite Element and Finite Difference Schemes

机译:多孔介质两相流基于实验的数值模拟:有限元和有限差分方案的比较研究

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摘要

In this study, the nonlinear partial differential equations governing two phase flow through porous media are solved using two different methods, namely, iinite difference and finite element. The capillary pressure term is considered in the mathematical model. The numerical results on a 2-D test case are then compared with the experimental drainage process and water flooding performed on a glass type micromodel. Based on the obtained results, finite difference technique needs less computational time for solving governing equations of two phase flow, bui findings of this method show less agreement with the experimental data. The finite element scheme was found to be more adequate and its results are matched well with the obtained experimental data.
机译:在这项研究中,用两种不同的方法,即有限差分法和有限元法,求解了控制两相流过多孔介质的非线性偏微分方程。在数学模型中考虑了毛细管压力项。然后将二维测试用例的数值结果与实验排水过程和在玻璃型微模型上进行的注水进行了比较。基于所获得的结果,有限差分技术需要较少的计算时间来求解两相流控制方程,该方法的发现与实验数据的一致性较小。发现有限元方案更合适,其结果与获得的实验数据很好地匹配。

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