计算物理 ›› 2003, Vol. 20 ›› Issue (3): 193-198.

• 论文 • 上一篇    下一篇

三维非均匀不稳定渗流方程的自适应网格粗化算法

杨权一1,3, 刘福平1, 杨长春1, 刘立峰2, 卓磊1   

  1. 1. 中国科学院地质与地球物理研究所, 北京 100101;
    2. 北京化工大学材料工程与科学学院, 北京 100029;
    3. 胜利油田有限公司开发管理部, 山东 东营 257001
  • 收稿日期:2002-01-21 修回日期:2002-11-26 出版日期:2003-05-25 发布日期:2003-05-25
  • 作者简介:杨权一(1962-),男,山东蓬莱,高级工程师,博士生,主要从事油藏工程研究工作.
  • 基金资助:
    国家"973"(G1999043311)资助项目

Adaptive Nonuniform Grid Upscaling Method of Three-dimensional Transient Heterogeneous Fluids in Porous Media

YANG Quan-yi1,3, LIU Fu-ping1, YANG Chang-chun1, LIU Li-feng2, ZHUO Lei1   

  1. 1. Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100101, China;
    2. College of Material Engineering and Science, University of Chemical Engineering, Beijing 100029, China;
    3. Reservoir Engineering Administrative Department of Shengli Oilfield Limited Company, Dongying 257001, China
  • Received:2002-01-21 Revised:2002-11-26 Online:2003-05-25 Published:2003-05-25

摘要: 将渗透率自适应网格技术应用于三维非均匀不稳定渗流方程的网格粗化算法中,在渗透率或孔隙度变化异常区域自动采用精细网格,用直接解法求解渗透率或孔隙度变化异常区域的压强分布,在其它区域采用不均匀网格粗化的方法计算,即在流体流速大的区域采用精细网格.用该方法计算了三维非均匀不稳定渗流场的压降解,结果表明三维非均匀不稳定渗流方程的三维非均匀自适应网格粗化算法的解在渗透率或孔隙度异常区的压强分布规律与采用精细网格的解非常逼近,在其它区域压强分布规律与粗化算法的解非常逼近,计算速度比采用精细网格提高100多倍.

关键词: 粗化网格, 精细网格, 渗流方程, 等效渗透率, 孔隙度

Abstract: Adaptive grid technology is applied to upscaling method of 3D fluid equations in porous media. Where the permeability or porosity change is abnormal, the fine grid blocks are automatically adopted and the 3D fluid equations in porous media is solved by the direct method. In the other regions, the nonuniform upscaling method is adopted, i.e., using fine grid blocks in the high flow regions of the model. Using this method, the pressure distribution of the 3D transient heterogeneous fluid in porous media is calculated. Results show that the solutions by using nonuniform adaptive upscaling method of 3D transient heterogeneous fluid in porous media very approach the solutions by using fine grid blocks in the regions the permeability or porosity is abnormal and very approach the solutions by using coarse grid blocks in the other regions; however, the computation speed by using adaptive upscaling method is 100 times more than that by using fine grid block method.

Key words: coarse grid blocks, fine grid blocks, fluid equation in porous media, effective permeability or porosity, adaptive grid upscaling method

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