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A numerical modeling of multicomponent compressible flows in porous media with multiple wells by an Eulerian-Lagrangian method

机译:欧拉-拉格朗日方法对多井多孔介质中多组分可压缩流动的数值模拟

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We develop an Eulerian-Lagrangian numerical model for the simulation of fully miscible, highly compressible, multicomponent fluid flow processes through compressible porous media with multiple injection and production wells. We describe the numerical schemes, the treatment of the multiple injection and production wells, problems related to characteristic tracking, and other issues. We perform numerical experiments to investigate the performance of the numerical model. These results show that the numerical model generates robust, stable, and physically reasonable simulations without nonphysical oscillation or excessive numerical diffusion, even in the presence of multiple injection and production wells and the use of large time steps and coarse spatial grids. Finally, numerical experiments to well known test problems show that the numerical model does not generate noticeable grid orientation effect.
机译:我们开发了一个Eulerian-Lagrangian数值模型,用于模拟通过多个注入和生产井的可压缩多孔介质完全可混溶,高度可压缩的多组分流体流动过程。我们描述了数值方案,多次注入和生产井的处理,与特征跟踪有关的问题以及其他问题。我们进行数值实验以研究数值模型的性能。这些结果表明,即使存在多个注入井和生产井,并且使用了较大的时间步长和粗糙的空间网格,该数值模型也可以生成健壮,稳定且物理上合理的模拟,而不会出现非物理振荡或过度的数值扩散。最后,对已知测试问题的数值实验表明,数值模型不会产生明显的网格定向效果。

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