无限大多层油藏渗流问题的解析解及其应用
Analytical Solution of Flow in Infinite Stratified Oil Reservoir and Its Application
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摘要: 本文对无限大多层油藏有越流的定压生产情形,利用Weber变换方法,给出了产量函数及压力分布函数的解析解.并将计算结果绘成曲线图,这些结果可用于定压生产情形的不稳定试井分试.Abstract: This paper presents an analytical solution for the production function and pressure distribution function of flow in infinite stratified oil reservoir with crosflow under the condition of constant wellbore pressure (CWP condition) by Weber's integral transformation.The calculation results are shown in the form of curves and these results can be used to analyse unsteady flow test of production with CWP condition.
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[1] Uraiet,A.A.and R.Raghavan,Pressure build-up analysis for a well produced at constant bottom-hole pressure,Paper SPE,7984(1979). [2] Ehlig-Economides,C.A.and H.J.Ramey Jr.,Pressure build-up for wells produced at a constant pressure,Paper SPE 7985(1979). [3] 高承泰(Gao Cheng-tai),single-phase fluid flow in a stratified porous medium with cross flow,SPRJ(Feb.1984) [4] 高承泰,Gao Cheng-tai,Determination of parameters for individual layers in multilayer reservoirs by transient well tests,Paper SPE 13952(1987). [5] 葛家理、吴玉树,裂-隙油藏井底定压生产动态特征与不稳定试井分析方法,石油勘探与开发,3(1982), 53-65. [6] Goldstein,S.,Some two-dimensional diffusion problems with circular symmetry,proc.Lond.Math.Soc.,34,2(1932),51-88. -
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