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A fully implicit mimetic finite difference scheme for general purpose subsurface reservoir simulation with full tensor permeability
Journal of Computational Physics ( IF 4.1 ) Pub Date : 2019-12-20 , DOI: 10.1016/j.jcp.2019.109194
Ahmad S. Abushaikha , Kirill M. Terekhov

In the previous article Abushaikha et al. (2017) [1], we presented a fully-implicit mixed hybrid finite element (MHFE) method for general-purpose compositional reservoir simulation. The present work extends the implementation for mimetic finite difference (MFD) discretization method. The new approach admits fully implicit solution on general polyhedral grids. The scheme couples the momentum and mass balance equations to assure conservation and applies a cubic equation-of-state for the fluid system. The flux conservativity is strongly imposed for the fully implicit approach and the Newton-Raphson method is used to linearize the system. We test the method through extensive numerical examples to demonstrate the convergence and accuracy on various shapes of polyhedral. We also compare the method to other discretization schemes for unstructured meshes and tensor permeability. Finally, we apply the method through applied computational cases to illustrate its robustness for full tensor anisotropic, highly heterogeneous and faulted reservoirs using unstructured grids.



中文翻译:

具有全张量渗透率的通用地下油藏模拟的完全隐式模拟有限差分方案

在上一篇文章中,Abushaikha等人。(2017)[1],我们提出了一种用于通用组成油藏模拟的完全隐式混合混合有限元(MHFE)方法。本工作扩展了模拟有限差分(MFD)离散化方法的实现。新方法允许在通用多面网格上使用完全隐式的解决方案。该方案耦合了动量和质量平衡方程以确保守恒,并为流体系统应用了立方状态方程。完全隐式方法强烈地要求通量保守性,并且使用牛顿-拉夫森方法对系统进行线性化。我们通过大量的数值示例测试该方法,以证明在各种形状的多面体上的收敛性和准确性。我们还将该方法与非结构化网格和张量渗透率的其他离散化方案进行了比较。最后,我们通过应用计算实例来应用该方法,以说明其在使用非结构网格的全张量各向异性,高度非均质和断层油藏中的鲁棒性。

更新日期:2019-12-21
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