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低速非达西层状油藏DST段塞流试井模型研究
引用本文:张新国,贾永禄,蒋维军,吴小庆,刘平.低速非达西层状油藏DST段塞流试井模型研究[J].高校应用数学学报(A辑),2005,20(2):147-155.
作者姓名:张新国  贾永禄  蒋维军  吴小庆  刘平
作者单位:新疆油田分公司重油开发公司,新疆,克拉玛依834000;西南石油学院,四川,成都610500;西南石油学院,四川,成都610500;渤海油田采油公司,天津300450;新疆油田分公司重油开发公司,新疆,克拉玛依834000
摘    要:在分析了实际低速非达西层状油藏DST测试非自喷井渗流规律的基础上,导出了其有效井径数学模型.利用Laplace变换及特殊物理方程理论,导出了该模型的拉氏空间解析解,并利用简便的Stehfest数值算法进行数值反演,得出了实空间解,并绘制了无因次样板曲线.可有效的运用于现场DST段塞流试井分析.

关 键 词:非达西流  层状油藏  段塞流  DST测试  数学模型  启动压力梯度
文章编号:1000-4424(2005)02-0147-09

Model of DST slug well test for low velocity non-Darcy flow in layered reservoirs
ZHANG Xin-guo,JIA Yong-lu,JIANG Wei-jun,WU Xiao-qing,LIU Ping.Model of DST slug well test for low velocity non-Darcy flow in layered reservoirs[J].Applied Mathematics A Journal of Chinese Universities,2005,20(2):147-155.
Authors:ZHANG Xin-guo  JIA Yong-lu  JIANG Wei-jun  WU Xiao-qing  LIU Ping
Institution:ZHANG Xin-Guo~
Abstract:Based on the analysis of the realistic fluid flow in the double-permeability reservoirs at low velocity and non-self open flow situations during DST test,the mathematical model of effective well bore radius about this physical phenomenon has been derived in this paper.Using Laplace transformation method and special physical equation theories,the analytical solution of this model in Laplace space has been gotten.In order to get real space solution,a convenient Stehfest's numerical Laplace inverse transformation method has been used.Then,the type curves can be calculated and plotted.This model and analysis method can be used for DST slug well test in oil fields.
Keywords:Non-Darcy flow  layered reservoir  slug flow  DST well test  mathematical model  threshold pressure gradient
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