双重介质中二维不定常渗流
The Transient Two-Dimensionai Flow through Double Porous Media
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摘要: 本文用积分变换和分离变量等方法,求得了弱压缩液体在双重孔隙介质中,二维不定常渗流的Laplace变换空间解.用数值反演的公式研究了,双重介质裂缝储量比ω和介质间传输系数λ对无限导流垂直裂缝井压力动态的影响.Abstract: This paper presents the analytical solutions in Laplace domain for two-dimensional nonsteady flow of slightly compressible liquid in porous media with double porosity by using the methods of integral transforms and variables separation. The effects of the ratio of storativities ω, interporosity flow parameter λ on the pressure behaviors for a vertically fractured well with infinite conductivity are investigated by using the method of numerical inversion. The new log-log diagnosis graph of the pressures is given and analysed.
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[1] Gringarten,A.C.et al.,Unsteady state pressure distributions created by a well with a single infinite conductivity vertical fracture,Soc.Pet.Eng.J.,Aug.(1971),317-364. [2] Houxze,O.P.et al.,Pressure transient response of an infinite-conductivity vertical-porosity behavior,SPE Formation Evaluation,Sept.(1988),510-518. [3] Stehfest,H,Numerical inversion of Laplace transforms,Communications of the ACM,Jan.(1974),47-49.
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