摘要
基于煤层的地质特征,推导了煤层气的非稳态扩散方程,建立了体积压裂水平井井底压力数学模型。通过拉普拉斯变换,引入Lord Kelvin点源解和泊松叠加原理,对数学模型进行了求解,获得了煤层气体积压裂水平井井底压力的瞬时点源函数基本解。根据井底压力特征曲线将非线性流动划分为8个阶段,并分析了水平井长度等参数对不同流动阶段的影响。
Based on the geological characteristics of coal seam,the unsteady diffusion equation of coalbed methane is derived and bottom-hole pressure mathematical model of volume fracturing horizontal well is established. With the introduction of Lord Kelvin function,laplace transformation and poisson superposition principle,the elementary solution of bottom-hole pressure instantaneous point source function of volume fracturing horizontal well in coalbed methane is obtained. According to the nonlinear flow characteristic curve of bottom hole pressure, it could be divided into eight stages, and the influence of parameters such as horizontal well length on different flow stage are analyzed,
出处
《煤炭技术》
CAS
北大核心
2017年第4期41-43,共3页
Coal Technology
基金
国家自然科学基金(51304032)
关键词
煤层气
体积压裂
水平井
压力特征
CBM
volume fracturing
horizontal well
pressure feature
