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油藏渗流问题的新模型及其精确解

李笑萍 赵子刚

李笑萍, 赵子刚. 油藏渗流问题的新模型及其精确解[J]. 应用数学和力学, 1993, 14(7): 583-592.
引用本文: 李笑萍, 赵子刚. 油藏渗流问题的新模型及其精确解[J]. 应用数学和力学, 1993, 14(7): 583-592.
Li Xiao-ping, Zhao Zi-gang. The Exact Analytical Solutions to the New Model of Reservoir Filtration Problem[J]. Applied Mathematics and Mechanics, 1993, 14(7): 583-592.
Citation: Li Xiao-ping, Zhao Zi-gang. The Exact Analytical Solutions to the New Model of Reservoir Filtration Problem[J]. Applied Mathematics and Mechanics, 1993, 14(7): 583-592.

油藏渗流问题的新模型及其精确解

The Exact Analytical Solutions to the New Model of Reservoir Filtration Problem

  • 摘要: 本文在考虑到井筒储集和表皮效应情况下,利用双重介质渗流方程组建立了油藏渗流问题的新模型,并通过各种极限形式得到了外边界为无限大,有界封闭,有界定压三种情况下二类常见油藏(裂缝性油藏,均质油藏)内压力分布的精确解析表达式.
  • [1] Баренблатт Г.Н.Ю.Л.Желтов,ДАН СССР,132(3)(1960),545-548.
    [2] Баренблатт Г.Н.Ю.Л.Желтов и И.Н.Кочина,ПММ,24(5)(1960),852-864.
    [3] Warren,J.E.and P.J.Root,Behavior of naturally fractured reservoirs,Soc.Pet.Eng.J.,9(1963),245.
    [4] Bourdet,D.,Pressure behavior of layered reserviors with crossflow,SPE paper 13628(1985).
    [5] 陈钟祥、姜礼尚,双重孔隙介质渗流方程组的精确解,中国科学,2(1980),152-165.
    [6] Bourdet,D.and A.C.Gringarten,Determination of fissure volume and block size in fractured reservoir by type curve analysis,paper SPE 9293 presented at the 55th Annual Fall Technical Conference and Exhibition of SPE of AIME,Dallas(Sep.21-24,1980)
    [7] Mavor,M.J.and H.Cinco,Transient Pressure Behavior of Naturally Fractured Reservoir,paper SPE 1977 presented at the 1979 California Regional Meeting,Ventura,CA,4(1979),18-20.
    [8] Bordet,D.,J.A.Ayoub,T.M.whittle,Y.M.Pirard and V.Kniazeff,Interpreting welltests in fractured reservoir,The World Oil.10(1983),77-87.
    [9] Stehfest,H.,Algorithm 368,Numerical Inversion of Laplace Transforms,Communication of the ACM,1(13)(1970),47-49.
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出版历程
  • 收稿日期:  1990-08-05
  • 刊出日期:  1993-07-15

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