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为高效合理的开发页岩气藏,该文提出了页岩气藏压裂水平井三线性渗流模型。此模型考虑了页岩气吸附解吸和扩散机理,运用Laplace变换和Duhamel原理,最终求得考虑井筒储存和表皮效应的压裂水平井Laplace空间无因次井底压力解。并通过Stehfest数值反演,绘制相应的无因次压力及导数特征曲线,对其无因次压力导数特征曲线进行了流动阶段的划分和影响因素分析。研究结果有利于提高对页岩气藏压裂井渗流规律的认识,为开发页岩气藏提供理论支持。
In order to develop shale gas reservoirs efficiently and reasonably, this paper proposes a trilinear seepage model of fractured horizontal wells in shale gas reservoirs. In this model, the mechanism of adsorption and desorption of shale gas is considered. Laplace transform and Duhamel principle are used to obtain the solution of dimensionless bottom hole pressure in Laplace space of well fractured horizontal well considering wellbore storage and skin effect. Through the Stehfest numerical inversion, the corresponding dimensionless pressure and derivative characteristic curves are plotted, and the flow stage division and influencing factors are analyzed for the characteristic curves of dimensionless pressure derivatives. The results are helpful to improve the understanding of the seepage law of fractured wells in shale gas reservoirs and provide theoretical support for the development of shale gas reservoirs.