变形双重介质分形油藏渗流流动分析

研究了变形双重介质分形油藏渗流问题的压力不稳定响应 ,考虑了储层的双重介质特征和分形特征以及应力敏感地层中介质的变形问题 ,建立了新的应力敏感地层双重分形介质数学模型 ,包括只有裂缝发生形变和裂缝与岩石同时发生形变时定产量生产的两类数学模型。渗透率依赖于孔隙压力变化的流动方程是强非线性的 ,故采用数值方法求解了这些数学模型。探讨了分形参数、变形参数和双重介质参数变化时压力的变化规律 ,给出了典型的压力曲线图板。这些结果可用于试井分析。

Flow analysis of fluid in fractal reservoir with deformed double-porosity medium

The pressure transient response of fluid flow in fractal reservoir with variable double-porosity medium was investigated. Not only the double-porosity features and fractal features of oil reservoir but also the deformation of medium in stress-sensitive reservoir were considered. The new mathematical models for describing the double-porosity fractal medium in stress-sensitive reservoir were built up. These models include two types. One is only for the deformation of fractures, the other is for the deformation of fractures and rock simultaneously. The dependence of permeability on the pore pressure makes the flow equation strongly nonlinear. The solutions of the mathematical models were obtained by using numerical method. The change rules of pressure with the variation of fractal parameters, deformation parameters and double-porosity parameters were discussed. The plots of typical pressure curves of a few cases were given. The result can be applied to well test analysis.