二相平面渗流问题的不变流管解法及其理论分析

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Fixed Stream-Tube Method for Solving Two-Phase Plane Flow Problems and Its Theoretical Analysis

1.
Scientific Research Institute of Petroleum Exploration and Development, Beijing;
2.
Shangdong University, Jinan;
3.
Peking University, Beijing

摘要: 本文总结和改进了工程上广泛应用的求解二相平面渗流问题的不变流管近似方法.对其核心部份即给定压差时一维变截面流管中的二相驱替问题作了全面的考察,证明了解的存在唯一性,给出了准确解、数值解及其收敛性和稳定性分析.

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. It scorepart, 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.

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