具有井筒储集的变形介质双渗模型的压力分析

Pressure Analysis of Double Permeability Model in Deformed Medium with Well Bore Storage Effect

为更好地研究碳酸盐油藏和低渗油的渗流问题,引入渗透率模数,考虑应力敏感地层中介质的变形,介质的双孔隙度、双渗秀率特征,同时考虑井筒储集的影响,建立新的数学模型。渗透率依赖于孔隙压力变化的流动方程是强非线性的,模型采用Douglas-Jones预估-校正法获得了无限大地层及有界封闭地层的数值解,形成了新的理论图版,并利用这些图版对模型中的有关参数进行了敏感性分析。

A new mathematical model of flow through hydrocarbon reservoirs and low permeability reservoirs was established. The double porosity and double permeability feature of the reservoirs, also the deformation of medium and the effect of well bore storage were considered. The dependence of permeability on pore pressure makes the flow equation strongly nonlinear. The numerical solutions of double permeability models in infinitely large system and finite closed system were obtained by Douglas-Jones predictor corrector method. The new theoretic were formed and the sensitivity of the influencing parameters of the models was studied by using these curves.