复杂边界条件下渗流场流线分布研究

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

流线分布研究已受到油藏工程师们的普遍关注。本文从无限大油藏稳态渗流场基本解出发,结合边界元方法求解出复杂边界条件下稳态渗流场的势分布,以此为基础提出了流线场的生成办法,并给出了应用实例。本文方法的优点在于求解过程中将问题的维数降低了一维,减少了计算量;计算精度较高且具有一定的普遍应用性;适应于求解任意形状的包括定压、定流量或混合边界在内的组合边界问题。实例表明,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。

Many reservoir engineers have paid close attention to the streamline study. Based on the fundamental solution of steady flow through the infinity reservoir, a boundary element method (BEM) of solving for the potential distribution of steady-state flow through the media with the complex boundary is developed. And a streamline-generating technique and an example are also presented. The advantages of the method are as follows: reducing the dimensions of the solving problem and decreasing the calculation workload; being not only more accurate but also having more general applicability; and being adapted for solving flow problems in a random shaped porous media with assembly boundaries-Neumann, Dirichlet, or mixed. The example shows that the streamline distributions can visually display the reservoir fluid's movement tracks between the producers and injectors, and an optimum pattern and an injection strategy can be also developed.