A New Well Test Analysis Method for Multi-Stage Fractured Horizontal Wells With Angle Faults
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摘要: 我国东部部分油藏含有发育的封闭断层,而断层对于油气井压力变化特征和相关参数的求取具有很大的影响.基于渗流力学基本原理,首先,利用点源函数基本理论和Laplace积分变换获得拉氏空间无限导流垂直裂缝井井底压力解,结合导流能力函数获得有限导流垂直裂缝井井底压力解;其次,通过镜像反映原理和压降叠加原则获得不同夹角封闭断层的有限导流多段压裂水平井拉氏空间解析解;利用Stehfest数值反演计算实空间井底压力解并绘制压力和压力导数双对数曲线图.研究表明:该典型特征曲线共分为8个流动阶段,在断层反映阶段无因次压力导数呈值为“0.5×360°/θ”的水平线;水平井中心到断层的垂直距离越小,断层反映时间越早,径向流动阶段越容易被边界反映所掩盖;裂缝间距越大,早期裂缝拟径向流特征曲线越明显;裂缝条数越多、导流能力越大,早期无因次压力和压力导数曲线位置越低.通过该模型能够很好地对含有封闭断层边界的油气藏做出准确评价和相关参数的求取.Abstract: Closed faults exist in some regions of eastern China, and they have great influence on the pressure characteristics of oil wells. Based on the basic principles of seepage mechanics, firstly, the bottom pressure solution of infinite-conductivity vertical fractured wells in the Laplace space was obtained by means of the basic theory of point source function and the Laplace integral transform. Combined with the conductivity function, the pressure solution of finite-conductivity vertical fractured wells was obtained. Secondly, the solution of multi-stage fractured horizontal wells with different angle faults was obtained with the mirror reflection principle and the pressure drop superposition principle. The pressure solution in the real space was given through the Stehfest numerical inversion, and the typical pressure as well as the pressure-derivative log-log curves were drawn. The results show that, the typical characteristic curve is divided into 8 flow stages, the pressure derivative is a horizontal line of a 0.5×360°/θ in the phase of fault reflection, and the smaller the vertical distance from the horizontal well center to the fault is, because the pressure-derivative curve characteristics of the radial flow are covered by the boundary reflection characteristic curve, the earlier the fault reflection time will be. Moreover, the larger the spacing between adjacent fractures is, the more obvious the early mirror flow characteristic curve will be; the larger the fracture number is, the lower the early pressure and pressure-derivative curve will be; and the larger the bilinear flow stage pressure derivative curve is, the lower conductivity will be. The accurate evaluation of reservoirs with closed fault boundaries and the reliable calculation of relevant parameters can be made through the proposed model.
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