基于多尺度量纲统一原则的油藏孔隙分形输运特性研究

Study on the Fractal Transport Characteristics of Reservoir Pore Based on the Principle of Multi Dimension Unity

油藏孔隙分布具有分形特征,如何将分形描述方法应用到油藏多孔介质内流体的输运特性研究过程中,目前的研究方法存在一定局限,主要是没有考虑量纲统一原则和尺度效应等。本文基于量纲统一原则,利用分形描述方法,对油藏多孔介质内输运过程渗透率和渗流流量进行了推导,得到了输运特性参数的单位尺度转换系数,据此可以实现基于微观分形特征描述来分析宏观输运过程。本文建立的分形输运描述方程能够实现不同尺度层级间的转换,得到的宏观特性参数结果更接近实测值。基于本文所建模型,利用某油藏数据进行了分析验证,得到了输运流量及渗透率变化规律与实际油藏的分布规律吻合。

The reservoir pore distribution has fractal characteristics. How to apply the fractal description method to the transport properties of the fluid in the porous medium of the reservoir,the current research methods have some limitations, which is mainly without considering the principle of dimensional unification and scale effect etc. In this paper, based on the principle of dimensional unification, the permeability and seepage flow in the porous media are deduced by using the fractal description method. The unit scale conversion coefficients of transport characteristics are obtained, which can be used to analyze the macroscopic transport process basis of microscopic fractal characteristics. In this paper, the fractal transport equation can be used to achieve the conversion between different scale levels, and the results of the macroscopic characteristic parameters are closer to the measured values. Based on the model established in this paper, the data of a reservoir are analyzed and verified. The variation law of the transportation flow and the permeability is consistent with the distribution rule of the actual reservoir.