As the most significant nonlinear reservoir, the rocks have complex structural characteristic. The pore structure of the rock is varied in shape and complex in connectivity. However, the prevailing methods for characterising the microstructure of rocks, such as the coordination number method and fractal theory, are still difficult to quantify the structural properties. In this study, based on the CT-scan method and a new complex network theory, the topological characteristics of rocks such as seepage path selection, degree of pore aggregation, pore importance, and pore module structure are analysed. The results show that the scale-free network model is more reliable in characterising the rock pore network than previously published structural models, and a small number of pores are the “key” to the seepage process. Besides, we proposed a new method to quantify the importance of rock pores and present the distribution characteristics and connectivity laws of the rock-pore network. This provides a new method to study the seepage process of the nonlinear reservoirs.

中文翻译：

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岩孔隙网络拓扑结构定量分析

岩石作为最重要的非线性储层，具有复杂的构造特征。岩石的孔隙结构形状多样，连通性复杂。然而，目前常用的表征岩石微观结构的方法，如配位数法和分形理论，仍然难以量化其结构特性。本研究基于CT扫描方法和新的复杂网络理论，分析了渗流路径选择、孔隙聚集程度、孔隙重要性、孔隙模块结构等岩石拓扑特征。结果表明，无标度网络模型在表征岩石孔隙网络方面比以前发表的结构模型更可靠，少量孔隙是渗流过程的“关键”。除了，我们提出了一种量化岩石孔隙重要性的新方法，并呈现了岩石-孔隙网络的分布特征和连通性规律。这为研究非线性储层的渗流过程提供了一种新方法。