无限大双层越流油气藏井底压力的精确解  

Accurate Solution of Two-Layer Reservoir with Crossflow Including Wellbore Storage and Skin Effect

作　　者：孙贺东[1] 刘磊[1] 钱焕群[1] 周芳德[1] 

机构地区：[1]西安交通大学能源与动力工程学院,西安710049

出　　处：《西安交通大学学报》2002年第11期1117-1120,共4页Journal of Xi'an Jiaotong University

基　　金：国家自然科学基金资助项目 (5 9995 46 0 )

摘　　要：采用最大有效井径的概念 ,在考虑表皮效应和井筒储存影响的条件下 ,导出了一个具有层间越流的无限大双层越流油气藏井底压力的动态模型 .通过拉氏变换 ,得到了拉氏空间下以Bessel函数表示的精确解 .运用Crump数值反演方法 ,得到了实空间的解 ,分析了压力动态特征 .计算结果表明 :该模型不但适合于表皮系数为正的情况 ,也适合于表皮系数为负的情形 ,而Bourdet模型只适合于表皮系数为正的情况 .由于解释模型参数集团化 ,更有利于绘制典型曲线 ,能够获得更加准确的地层参数 .The maximum effective hole-diameter mathematical model which describes the flow of slightly compressible fluid through an infinite two-layer reservoir with crossflow is solved rigorously. The model considers all layers open to a single well in which the flow is at a constant total rate. The accurate solutions are expressed in terms of ordinary Bessel functions by using the method of Laplace transform. The numerical computation of these solutions is made by the Crump numerical inversion method, and the behavior of the system is studied as a function of various reservoir parameters. The new model is numerically stable when the skin is positive and negative, but the Bourdet model is numerically stable only when the skin is positive. Because the curves explicitly include skin factor and other reservoir parameters, the techniques is expected to be more accurate than the Bourdet model. The automatic history matching technique has made it possible to determine the individual layer properties and wellbore parameters accurately.

关 键 词：无限大双层越流油气藏 井底压力 精确解 数学模型 层间越流 有效井径 Cryump数值反演方法 

分 类 号：TE312[石油与天然气工程—油气田开发工程] P618.130.2[天文地球—矿床学]