考虑井储和表皮效应的分形介质煤层气压力动态分析  

Pressure Transient Analysis of Fractal Coalbed Methane Reservoir with Wellbore Storage and Skin Effects

作　　者：张先敏[1] 同登科[1] 

机构地区：[1]中国石油大学,东营257061

出　　处：《力学季刊》2009年第4期602-606,共5页Chinese Quarterly of Mechanics

基　　金：国家973计划项目(2009219606);国家自然科学基金项目(40974056)

摘　　要：考虑煤层的双重介质特征和介质的分形特征,建立了考虑井筒储存和表皮效应影响的分形介质煤储层非平衡吸附、非稳态条件下的气体流动数学模型,并分别求得了无限大地层条件下中心一口井定产量生产时无因次井底压力的Laplace空间解析解和实空间上的数值解。给出了无因次井底压力及其导数随分形参数、无因次井筒储存系数以及表皮系数等变化的双对数曲线图。The pressure transient response in fractal coalbed methane reservoir was studied. Considering not only the double porosity feature of coalbed methane reservoir but also the fractal characteristic of porous media, the non-equilibrium sorption mathematical models with wellbore storage and skin effects in fractal coalbed methane reservoir were presented when the constant flow rate is specified at the wellbore. The analytical solutions of dimensionless bottom hole pressure in Laplace space were obtained, and the change rules of dimensionless bottom hole pressure along with fractal parameters, dimensionless wellbore storage coefficient and skin factor were discussed. The plots of type pressure curve are given and the result can be applied to well test analysis.

关 键 词：煤层气 分形维数 非稳态 井筒储存 

分 类 号：TE373[石油与天然气工程—油气田开发工程]