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Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (7): 663-675.

• 论文 • 上一篇    下一篇

FIXED STREAM-TUBE METHOD FOR SOLVING TWO-PHASE PLANE FLOW PROBLEMS AND ITS THEORETICAL ANALYSIS

陈钟祥1, 袁益让2, 姜礼尚3   

  1. 1. Scientific Research Institute of Petroleum Exploration and Development, Beijing;
    2. Shangdong University, Jinan;
    3. Peking University, Beijing
  • 收稿日期:1984-07-01 出版日期:1986-07-18 发布日期:1986-07-18

FIXED STREAM-TUBE METHOD FOR SOLVING TWO-PHASE PLANE FLOW PROBLEMS AND ITS THEORETICAL ANALYSIS

Chen Zhong-xiang1, Yuan Yi-rang2, Jiang Li-shang3   

  1. 1. Scientific Research Institute of Petroleum Exploration and Development, Beijing;
    2. Shangdong University, Jinan;
    3. Peking University, Beijing
  • Received:1984-07-01 Online:1986-07-18 Published:1986-07-18

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摘要： The fixed stream-tube method widely adopted in engineering field for giving an approximate solution to the two-dimensional problems of two-phase flow through porous media is summarized and an improvement has been made in thispaper. Itscorepart, i.e., the fluid displacement within a one-dimensional stream tube with variable cross-sectional area under a given pressure difference across the tube is thoroughly studied. The existence and uniqueness of solution are proved, the exact solution, numerical solution and its convergence, stability analyses are given in this paper.

关键词: degenerate equation, nonlocal source, blowup in finite time, global blowup

Abstract: The fixed stream-tube method widely adopted in engineering field for giving an approximate solution to the two-dimensional problems of two-phase flow through porous media is summarized and an improvement has been made in thispaper. Itscorepart, i.e., the fluid displacement within a one-dimensional stream tube with variable cross-sectional area under a given pressure difference across the tube is thoroughly studied. The existence and uniqueness of solution are proved, the exact solution, numerical solution and its convergence, stability analyses are given in this paper.

Key words: degenerate equation, nonlocal source, blowup in finite time, global blowup

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