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一类抛物方程初边值问题的精确解及其应用
引用本文:李笑萍,吴继周.一类抛物方程初边值问题的精确解及其应用[J].应用数学,1993,6(2):201-206,227.
作者姓名:李笑萍  吴继周
作者单位:大庆石油学院,大庆石油学院 黑龙江 151400,黑龙江 151400
摘    要:本文建立了多层合采油藏压力分布新模型,并在无限大、有界定压和有界封闭三种边界条件下,求得了均质弱可压缩液体朝向具有井筒储集和表皮效应井渗滤时,各层内压力分布的精确表达式;给出了该压力解在油藏试井分析中的应用.

关 键 词:精确解  抛物型方程  边值问题

Exact Solutions of Initial-Boundary Value Problem for a kind of Parabolic Equation and Applications
Li Xiaoping Wu Jizhou.Exact Solutions of Initial-Boundary Value Problem for a kind of Parabolic Equation and Applications[J].Mathematica Applicata,1993,6(2):201-206,227.
Authors:Li Xiaoping Wu Jizhou
Abstract:In the paper is given a new model of the formation pressure distribution for a multilay-ered oil reservoir when it is formed at a time, and under the three kind boundary conditions, an infinite boundary, finite sealed boundary and finite boundary with constant pressure, is obtained the exact solution of homogeneous micro-compressible liquid flowing into the well-bore with wellbore storage and skin.Furthemore, this paper presents the applications of pressure solution to the multilayered oil reservoir when it is formed at a time.
Keywords:Multilayered reservoir  Production at a time  Pressure distribution  Exact solutions
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