A 3D Total Variation Diminishing Scheme for Compositional Reservoir Simulation Using the Element-Based Finite-Volume Method
A 3D Total Variation Diminishing Scheme for Compositional Reservoir Simulation Using the Element-Based Finite-Volume Method
复制标题
使用基于单元的有限体积方法进行成分油藏模拟的 3D 总变差递减方案
DOI：
10.1080/10407782.2014.949196
复制
发表时间：
2015
期刊：
影响因子：
--
通讯作者：
K. Sepehrnoori
中科院分区：
文献类型：
--
作者：
B. Fernandes;A. D. R. Gonçalves;E. P. D. Filho;Ivens da Costa Menezes Lima;F. Marcondes;K. Sepehrnoori
插值函数是有限差分、有限元和有限体积法数值模拟的关键参数，特别是在考虑守恒方程的对流项时。由于流动方向，一阶插值格式（如迎风格式）在数值解中引入了相当程度的数值扩散。在这项工作中，我们提出了一种二阶总变差减小方案，并结合使用基于单元的有限体积法（EbFVM）进行3D成分油藏模拟。使用六面体单元的几个案例研究的结果显示在石油，水，天然气生产，以及饱和度领域。
Interpolation function is a key parameter for numerical simulation using finite-difference, finite-element, and finite-volume methods, especially when the advective terms of the conservation equations are considered. Due to the flow orientation, a first-order interpolation scheme such as upwind introduces a considerable degree of numerical diffusion in the numerical solution. In this work, we present a second-order total variation diminishing scheme in conjunction with 3D compositional reservoir simulation using the element-based finite-volume method (EbFVM). The results of several case studies using the hexahedron element are shown in terms of oil, water, and gas production, as well as saturation field.