【摘要】 对于碳酸盐岩油藏和低渗透油藏的渗流问题，传统的研究方法都是假设地层渗透率是常数或依赖于到井眼距离的幂律关系。然而地层渗透率是对压力敏感的，这样的假设将导致对压力的空间变化和瞬时变化的分析产生较大的误差。建立了求解对地层应力敏感的分形介质渗透率的数学模型，采用了一种简单的技巧获得其近似解，考虑无限大分形油藏线源井定流量生产，导出了圆柱对称系统流动问题的解以及井眼储集和表皮效应对压力动态的影响。且得到了有界系统的一阶逼近解，并进行了定性分析。图４表３参５（陈志宏摘更多还原

【Abstract】 Fluid flow in carbonate and lowpermeability reservoirs is assumed by the traditional study method to be a constant or powerlaw dependence on the distance from the well, such an assumption can, however, result in significant errors in the estimation of temporal and spatial variation of pressure when the formation permeability is pressure sensitive. In the present study, we build mathematical models of fractal reservoir with pressuresensitive formation permeability. A simple technique is proposed to obtain approximate analytical solutions to the problem of fluids flow through fractal reservoir with pressuredependent formation permeability. A constant production rate in an infinite large system is considered. Solution to the flow problem in linear system is derived. The effect storage on the pressure behavior is also investigated. Firstorder approximation for bounded system is presented and qualitatively analyzed.更多还原