复杂边界非均质渗流场流线分布研究

建立了考虑源(汇)影响的含有不渗透区域复杂边界条件下非均质油藏稳定渗流的数学模型。利用扰动边界元方法求解数学模型,获得了地层中任意一点的压力公式.在此基础上,提出了流线场的生成方法。绘制了考虑非均质性、复杂边界和不渗透区域影响的流线分布图,并分析了流线分布的特征。通过分析表明,渗流场的非均质性和不渗透区域的存在都对流线分布存在较大的影响。利用本文方法产生的流线分布图能够较为直观地反映出油藏流体在注采井间的运动轨迹,为优化井网和注入方案提供了重要依据。

Research on streamline distribution of flow through heterogeneous porous media with complex boundary

Many reservoir engineers have paid close attention to the streamline study.The steady-state flow mathematical model of arbitrary shaped heterogeneous reservoirs with impermeable barrier is constructed in this paper.In order to solve this model,perturbation method is employed and the solution is expanded into a series in powers of perturbation parameter.By using the boundary element method,pressure is obtained.And a streamline generating technique is presented. The advantages of the method are reducing the dimensions of the solving problem and decreasing the calculation workload,being not only more accurate but also having more general applicability.The figures of streamlines are plotted and analyzed considering the effect of complex boundary,heterogeneous and impermeable barriers.Through analyzing,it indicates that the impermeable barriers and heterogeneity have various degree influences on the streamlines.The figures shows that the streamline distributions can visual display the reservoir fluid's movement tracks between the producers and injectors,an optimum pattern and an injection strategy can be also developed.