新疆石油地质 ›› 2003, Vol. 24 ›› Issue (5): 455-457.

• 应用技术 • 上一篇    下一篇

双重介质两相驱替问题的新解法

邓英尔1, 刘慈群2   

  1. 1.成都理工大学 油气藏地质及开发工程国家重点实验室,四川 成都 610059;
    2.中国科学院 渗流流体力学研究所,河北 廊坊 065000
  • 收稿日期:2002-10-21 修回日期:2002-11-20 发布日期:2021-01-14
  • 作者简介:邓英尔(1967-), 男,湖南邵阳人,副教授,博士,油气藏工程。联系电话:028-84077952
  • 基金资助:
    成都理工大学青年科学基金项目(YQN2000),国家科技攻关项目(2001BA605A-03-02-01)资助。

New Method for Two-Phase Flow Displacement through Dual Porosity Media

DENG Ying-er1, LIU Ci-qun2   

  1. 1. State Key Laboratory of Oil-Gas Reservoir Geology and Development Engineering, Chengdu University of Technology, Chengdu, Sichuan 610059, China;
    2. Jnstitute of Porous Flow and Fluid Mechanics, CAS, Langfang, Hebei 065000, China
  • Received:2002-10-21 Revised:2002-11-20 Published:2021-01-14

摘要: 考虑吸渗作用的双重介质中的两相流体渗流数学模型是带初边条件的积分-微分方程,是难以求得精确解析解的。现提出将水驱油运动的前沿作为活动外边界处理的新思想,从而可用有限差分法和外推线化的方法求其解。并且该模型对裂缝系统的相对渗透率不作取对角线的假定。结果表明:吸渗作用对含水饱和度分布有较大的影响,但吸渗作用的强弱对水驱油运动前沿的推进速度没有影响。这与陈钟祥-刘慈群假定裂缝系统的相对渗透率取对角线并用特征线法求解得出的结论是一致的。有限差分法在求解多维带初边条件的积分-微分方程尤其是复杂的非线性问题时将更显优越性。

关键词: 双重介质, 吸渗, 渗流, 有限差分法, 外推法

Abstract: A mathematical model for two-phase flow through dual porosity media with imbibition is an integral and differential e-quation with initial and boundary conditions. Such a model is difficult to obtain accurate andlytical solutions. A new concept of taking drainage front as moving outer boundary is proposed so that numerical solution to the model can be found by using a fi-nite difference approach and extrapolation method. Relative permeability curve in fracture system without simplifying assumption is adopted in the model. Results show that imbibition has greater effects on distribution of water saturation and that moving velocity of the water-oil displacement front has nothing to do with intensity of imbibition. This conclusion is in good agreement with that obtained by Chen-LiuTs assumption about relative permeability in fracture system and from characteristic method. The method pro-posed in this paper is much better solving nonlinear problems.

Key words: dual porosity media, imbibition, percolation, finite difference method, extrapolation method

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