【摘要】 对于碳酸盐油藏和低渗油藏的渗流问题 ,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 r的幂律关系 ,然而地层渗透率对于压力是敏感的 ,这样的假设 ,对压力的空间变化和瞬时变化将导致较大的误差 .研究了应力敏感地层中分形介质渗流问题的压力不稳定响应 ,不仅考虑了储层的分形特征 ,而且考虑了应力敏感地层中介质的变形 ,建立了应力敏感地层分形介质的数学模型 ,渗透率依赖于孔隙压力变化的流动方程是强非线性的 ,采用 Douglas- Jones预估 -校正法获得了无限大地层有限半径井定产量生产时的数值解 ,探讨了变形参数和径向距离变化时压力的变化规律 ,给出几种情况下典型压力曲线图版 ,其结果可用于实际试井分析 .更多还原

【Abstract】 The response of pressure in stress-sensitive formation was studied, and the flow equation of a fluid in the formation was established. In the flow equation, not only were the fractal feature but also the deformation of the formation considered. The flow equation is strong nonlinear because of the variation of the formation permeability with pore pressure. The numerical solution of the equation under the conditions of infinite-large formation and finite radius well with a constant yield was obtained by Douglas-Jones prediction-correction method. The law of pressure change was disscussed when fractal parameters and the radial distance vary. Several classic pressure-curve charts were given. The study result in the paper can be used in the analysis of well testing.更多还原