Mixed volume element combined with characteristic mixed finite volume element method for oil–water two phase displacement problem
作者: Yirang YuanTongjun SunChangfeng LiYunxin LiuQing Yang
作者单位: 1Institute of Mathematics, Shandong University, Jinan, 250100, PR China
2School of Economics, Shandong University, Jinan, 250100, PR China
3School of Mathematical Sciences, Shandong Normal University, Jinan, 250014, PR China
刊名: Journal of Computational and Applied Mathematics, 2018, Vol.340 , pp.404-419
来源数据库: Elsevier Journal
DOI: 10.1016/j.cam.2018.02.038
关键词: Three-dimensional incompressible miscible displacementMixed volume element-characteristic mixed volume elementLocal conservation of massSecond order L 2 estimatesNumerical experiments
原始语种摘要: Abstract(#br)As the basic of numerical simulation of energy science, the displacement of three-dimensional oil–water two phase in porous media is discussed in this paper. For incompressible miscible displacement, the pressure is described by a flow equation in an elliptic mathematical formulation and the saturation is defined by a convection–diffusion equation. The pressure exists in the saturation equation by Darcy velocity, and controls the whole flow. We develop and improve substantially the work of Arbogast and Wheeler, then put forward a mixed volume element combined with characteristic mixed finite volume element method for two-phase displacement problem. The flow equation is discretized by the conservative mixed volume element method, which could improve the accuracy of an order...
全文获取路径: Elsevier  (合作)
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关键词翻译
关键词翻译
  • method 方法
  • element 元素
  • volume 体积
  • numerical 数字的
  • equation 方程
  • mixed 混合的
  • velocity 速度
  • displacement 迁移
  • saturation 饱和
  • problem 题目