应用复位势理论和势的叠加原理,推导出考虑裂缝与水平段同时生产的油层中渗流模型;应用流体力学理论、质量守恒定理和动量定理,推导出考虑水平井筒沿程油层流体流入和裂缝流体流入的井筒内压降计算模型。在此基础上建立了油层中渗流和井筒内管流耦合的产能模型,并给出其求解方法。实例计算结果与实验结果对比表明,进行压裂水平井生产动态分析时,不能忽略水平井筒沿程油层流体流入的影响;水平井筒内的压力降对产量有一定的影响,水平井筒长度存在最优范围;各条裂缝产量不相等,裂缝条数存在最优范围。
According to the complex potential theory and potential superposition principle, a percolation model considering the fractures and the horizontal wellbore producing together was derived, Based on fluid mechanics theory, conservation of mass and momentum theorem, a calculation model for pressure drop in the hori,ontal wellbore was established in consideration of the inflow of the liquid along horizontal wellbore and the liquid of fractures into horizontal wellbore. At the same time, these two models were coupled up and a solution method of this coupling model was given. The computational solution for a practical example was compared with the experiment data. It is shown that to study the producing performance of fractured horiaontal well, the inflow of the fluid along the horizontal wellbore can't be ignored. The pressure losing in horizontal wellbore has some effects upon output, and the length ot horizontal wellbore has an optimization range. The production of each fracture is not equal, and the number of fractures has an optimization range.