多孔介质孔隙结构迂曲度计算方法研究进展

Advances on the calculation methods of tortuosity in porous media

迂曲度是表征多孔介质微观孔隙特性的重要参数,对于模拟流体在多孔介质中的流动和输运至关重要,可通过达西定律与泊肃叶方程建立与多孔介质宏观特性渗透率之间的关系.流体在多孔介质中的复杂流动特性给迂曲度的求取带来了很大的困难,学者们根据不同的需求建立了不同的迂曲度计算方法,这些方法的适用情况以及条件往往不同,得到的结果也存在一定的差异.本文通过调研相关文献,发现迂曲度的计算方法主要包含以下四种:实验方法、几何解析法、基于算法的数值模拟法、基于图像的数值模拟法.本文就该四种方法的研究方法、求解思路、表达式以及所得结果适用性进行阐述和分析,总结得出基于图像技术的数值模拟方法为迂曲度最佳求解方法.

The tortuosity is an important parameter to characterize the microscopic pore structure of porous media,which is of great significance for simulating the flow and transport of fluids.The relationship between it and the macroscopic permeability can be established through combining the Darcy's law and Poiseuille equation.The complex characteristics of fluids flowing in pore space have complicated the calculation of tortuosity,researchers have established several methods for the calculation based on different conditions.Due to that the applicability of the methods is generally limited for some situations,the calculated tortuosity may vary with the methods for the same sample.This paper is based on research into the relevant literature,and classifies them into four categories:experimental method,geometric analysis,algorithm-based numerical simulation,and image-based numerical simulation.Moreover,it is found that the numerical simulation method based on image technology is the best solution for tortuosity,through analyzing the solution ideas,expressions and obtained results of the four methods in this paper.