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.
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.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
2005年第2期147-155,共9页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
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
Non-Darcy flow
layered reservoir
slug flow
DST well test
mathematical model
threshold pressure gradient
