水平井开发渗透率各向异性双重介质油藏两相渗流

Non-darcy Flow of Two-phase Fluid through Anisotropic Doubleporosity Media for Horizontal Well

邓英尔¹,刘慈群²,刘树根¹

Deng Ying’er ,Liu Ciqun’ Liu Shugen

1. 成都理工大学,2. 中国科学院渗流流体力学研究所

Chengdu University of Technology , Chengdu 610059 , P. R. China

建立了在水平井开发的各向异性双重介质油藏中油水两相渗流数学模型,用有限差分法求得了其解,进行了实例分析。得到了含水饱和度沿x 、y 、z 轴坐标方向的分布,分别讨论了各向异性、双重介质吸渗作用的影响。结果表明:渗透率较大的方向,前缘推进速度较快,油井见水较早;吸渗使前缘推进速度减慢,使油井见水晚。水平井注水开发这种油藏时,见水前注入率不能太大以充分发挥吸渗作用。

A mathematical model for two-phase fluid flow through anisotropic double-porosity media with a horizontal well working is established. Numerical solution to the model is presented by using finite difference method. An example is given and discussed. Distribution of water saturation in the different direction is derived. Influence of permeability anisotropy and imbibition on characteristics of the flow is discussed. Results show that :the faster the isosaturation level moves and water breaks through the well in the direction of the larger permeability than that of the smaller ; the imbibition makes velocity of the level movement become smaller and time of water breakthrough get longer. So the injection rate mustn’t be too large before water breads through the well so that the imbibition can play an important role in waterflooding development of the double-porosity reservoir.