双孔介质复合储层中井底压力的求解分析  

SOLUTION ANALYSIS OF BOTTOM HOLE PRESSURE DISTRIBUTION IN THE DUAL POROSITY COMPOSITE RESERVOIR

作　　者：陈利娅[1] 李顺初[1] 赖霞[1] 

机构地区：[1]西华大学数学与计算机学院

出　　处：《钻采工艺》2010年第5期52-54,61,共4页Drilling & Production Technology

基　　金：国家"九五"重点攻关项目"新疆塔里木盆地沙雅隆起多影响因素试井分析理论及解释方法研究"部分成果(96-111-03-01-07);西华大学重点学科-应用数学;编号:XZD0910-09-1

摘　　要：针对无穷大双孔介质复合油气储层,建立了两种内边界(井底)条件(是否考虑井筒储存和表皮效应)下的变(常)流率问题的数学模型,经过无因次化处理和使用Laplace变换,在借用数值反演方法下得到了无因次井底压力的Laplace空间解,该解完全满足进行试井分析工作的需要;并在深入剖析了解的结构和相互联系的基础上,找出了它与常见的复合、双孔、均质储层井底压力间的相互关系,并简要地引导了相应的应用。此项研究,无疑是对试井分析理论的一种完善,对相应的试井分析软件的研制更具有深远的应用价值,对油藏工程中的数值模拟方法也具有指导意义。Aiming at the infinite dual porosity composite reservoir,the variable(constant) flow rate mathematical models which with two inner(bottom) boundaries(whether considering wellbore storage and skin effect) were established,the dimensionless bottom pressure solutions in Laplace space were obtained by the dimensionless processing and Laplace transform,and it was indicated that these solutions totally satisfy the need of well test analysis by using numerical inversion methods.Moreover,based on analyzing the structure and interrelation of the solution,the interrelations of the bottom pressure of some familiar composite,dual porosity and homogeneous reservoir were found out and the corresponding application was introduced.This research perfected well test analysis theory,and it has profound application value for the development of corresponding well test analysis software,and it has also guidance significance for numerical simulation methods in reservoir engineering.

关 键 词：双孔介质复合储层 无穷大外边界 压力分布 变流率 LAPLACE空间解 

分 类 号：TE353[石油与天然气工程—油气田开发工程]