三重介质有限导流垂直裂缝井压力动态分析

Dynamic Analysis for Pressure in Limit Conductivity Vertical Fracture Wells of Triple-Porosity Reservoir

针对三重介质油藏进行水力压裂后形成的有限导流垂直裂缝,结合沃伦—鲁特提出的双重介质模型,建立了三重介质连续点源解数学模型。根据连续点源的叠加原理,沿裂缝对连续点源进行叠加积分,求得在拉普拉斯空间的三重介质有限导流垂直裂缝井井底压力表达式。通过Stefest数值反演,绘制了无因次压力及压力导数双对数特征曲线,对影响三重介质有限导流垂直裂缝井井底压力动态的诸多影响因素进行了分析。

According to limit conductivity vertical fracture conducted by hydraulic fracture in triple porosity reservoir, based on the Warant-Root model in double porosity, mathematical model with continues point source has been built firstly. Furthermore, based on the principle of superposition of the continues point source, through superposition and integral to it, the formula of down hole pressure in laplace space to limit conductivity vertical fracture model in triple porosity reservoir can be obtained. Using numerical inversion, the type curves of pressure and its derivative to time can be drawn and the dynamic and influence factors can be discussed.