水平井压力动态点源解的计算方法研究  

A Study for Calculation of Source Function of Pressure Dynamic in Horizontal Well.

作　　者：李成勇 刘启国[1] 张燃[1] 

机构地区：[1]西南石油学院,四川成都610500

出　　处：《油气井测试》2004年第6期4-6,共3页Well Testing

摘　　要：利用点源函数的思想,求解了各向异性无限大地层水平井在拉氏空间中的无因次压力响应函数。利用杜哈美原理,分析了井储效应和表皮效应的影响。利用贝塞尔函数积分性质和泊松叠加公式,对其压力响应函数进行了数学变换。在拉氏空间中,讨论了无穷累加项中累加次数n的取值问题,简化了其理论压力动态响应曲线的计算过程。利用Stehfest反演算法,计算出考虑井储和表皮影响的各向异性油藏中水平井的无因次压力和压力导数典型曲线,分析了其影响因素。The paper uses the source function to establish the pressure distribution which the top and bottom of the reservoir are impermeable in Laplace space and uses Duhamel theory to analyses the influence of skin factor and storability. According to the properties of integral of Bessel function and Poisson's summation formula,a math transformation to their response function of pressure is conducted. The problem of required number of summary times, which is N, in infinitude accumulation is discussed in Laplace space that simplifies greatly the calculation process of dynamic response curve of its theoretical pressure. Using the Stehest reversion theory to compute di-mensionless pressure in anisotropic reservoir of horizontal well considering influence of well bore storage and skin factor and typical pressure derivative curve,and to analyze its influencing factors.

关 键 词：水平井 压力动态 表皮效应 典型曲线 压力导数 油藏 地层水 函数 数学变换 计算过程 

分 类 号：TE353[石油与天然气工程—油气田开发工程] G633[文化科学—教育学]