分形结构油藏垂直水力压裂井压力响应
Pressure Responses of a Vertically Hydraulic Fractured Well in a Reservoir with Fractal Structure
摘要:
得到了非均质油藏中垂直水力压裂井压力动态的解析解。利用分形几何的概念对储层的非均质性进行了模拟。这种储层称为分形储层。根据分数阶微积分理论,应用时间分数阶导数来反映分形储层的记忆特性。通过各种合成实例,充分研究了不同参数对计算井筒压力的影响。
英文摘要:
We obtain an analytical solution for the pressure-transient behavior of a vertically hydraulic fractured well in a heterogeneous reservoir. The heterogeneity of the reservoir is modeled by using the concept of fractal geometry. Such reservoirs are called fractal reservoirs. According to the theory of fractional calculus, a temporal fractional derivative is applied to incorporate the memory properties of the fractal reservoir. The effect of different parameters on the computed wellbore pressure is fully investigated by various synthetic examples.
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