双重介质分形油藏渗流问题

基金项目: 高等学校骨干教师资助计划资助项目

The Flow Problem of Fluids Flow in a Fractal Reservoir With Double Porosity

1.
Department of Applied Mathematics, Petroleum University(East of China), Dongying, Shandong 257061, P R China;
2.
Institute of Mathematical Science, Dalian University of Technology, Dalian 116024, P R China

摘要: 将油井有效半径引入双重介质分形油藏渗流问题的内边界之中,从而建立了双重介质分形油藏的一种渗流模型,并在考虑了井筒储集和表皮效应的情况下求得了外边界为无限大、有界封闭和有界定压三种情况下双重介质分形油藏压力分布的精确解析表达式。利用拉氏数值反演Stehfest方法分析了双重介质分形油藏压力动态特征,讨论了各种参数对压力动态的影响。
- 分形 /
- 双重介质 /
- 渗流 /
- 试井分析
Abstract: The effective radius of oil well is introduced in the inner boundary in the problem of fluids flow through fractal reservoir with double porosity,and thus a new model is established.Taking the wellbore storage and steady-state skin effect into consideration,the exact solutions of the pressure distribution of fluids flow in fractal reservoirs with double porosity are given for the cases of an infinite outer boundary,a finite closed outer boundary and a bounded domain with the constant pressure outer boundary conditions.The pressure behavior of fractal reservoir with double porosity is analyzed by using a numerical inversion of the Laplace transform solution.The pressure responses of changing various parameters are discussed.
- fractal /
- double porous media /
- seepage /
- well test analysis

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