粗糙裂缝型多孔介质渗透率的分形模型  

The fractal model for permeability of fractured porous media with roughed surfaces

作　　者：王世芳 吴涛[3] WANG Shifang;WU Tao(School of Physics and Mechanical Electrical&Engineering,Hubei University of Education,Wuhan 430205,China;Institute of Theoretical Physics,Hubei University of Education,Wuhan 430205,China;School of Optical Information and Energy Engineering,Wuhan Institute of Technology,Wuhan 430205,China)

机构地区：[1]湖北第二师范学院物理与机电工程学院,武汉430205 [2]湖北第二师范学院理论物理研究所,武汉430205 [3]武汉工程大学光电信息与能源工程学院,武汉430074

出　　处：《华中师范大学学报（自然科学版）》2023年第2期223-227,241,共6页Journal of Central China Normal University：Natural Sciences

基　　金：国家自然科学基金项目(11972266)。

摘　　要：多孔介质渗透率的研究在油气藏、地下水文学、燃料电池、纤维织物等诸多实际应用工程领域具有重要的应用价值.该文基于分形理论和达西定律,提出了牛顿流体在粗糙裂缝型多孔介质中渗透率的分形模型.研究结果表明粗糙裂缝型多孔介质的渗透率是正弦波动幅度因子、裂缝面积分形维数、孔隙率及最大裂缝宽度等多孔介质微结构参数的函数,每个参数都有明确的物理含义,能清楚揭示影响粗糙裂缝型多孔介质渗透率的物理机理.为了证实渗透率分形模型的有效性,将该模型与已有模型和数值模拟结果进行对比,整体结果吻合较好.The study of the permeability of porous media has great value of application in many practical engineering fields,such as oil and gas reservoir,groundwater hydrology,fuel cells,fiber fabric.The fractal permeability model for Newtonian fluid transport in fractured porous media with roughed surfaces was proposed in this paper based on fractal theory and Darcy law.The results showed that the permeability of fractured porous media with roughed surfaces was a function of micro-structural parameters of fractured porous media with roughed surfaces.Every parameter had clear physical meaning and was able to reflect the physical mechanism of the permeability of fractured porous media with roughed surfaces.The influence of sine wave fluctuation amplitude factor,fracture area fractal dimension,porosity and the maximum crack width on the permeability of fractured-porous media was analyzed.To verify the validity of fractal permeability model,it’s compared with the available permeability model and good agreement was generated.

关 键 词：分形理论 裂缝型多孔介质 渗透率 流量 

分 类 号：P64112[天文地球—地质矿产勘探]