FRACTAL STUDY ON INTERPOROSITY FLOW FUNCTION AND SHAPE FACTOR OF A POWER-LAW FLUID IN ROUGH FRACTURED DUAL MEDIA

Author:

YANG SHANSHAN12ORCID,CUI RUIKE12,ZOU MINGQING3,SHENG QIONG12,CHEN SHUAIYIN12,WANG MENGYING12

Affiliation:

1. Three Gorges Mathematical Research Center, China Three Gorges University, Yichang, Hubei 443002, P. R. China

2. College of Science, China Three Gorges University, Yichang 443002, Hubei, P. R. China

3. China-EU Institute for Clean and Renewable Energy, Huazhong University of Science and Technology, Wuhan, 430074, P. R. China

Abstract

Many scholars have studied the interporosity flow function (IFF) and shape factor. However, the existing research does not consider the complex microstructure of dual media and the influence of fluid types on interporosity flow. In this paper, the anisotropic IFF and shape factor model of power-law fluid in smooth and rough fracture dual media are established by using the rough capillary bundle model and considering the influence of the microstructure of dual media and the type of fluid. The relationship between IFF, shape factor, and relative roughness in dual media is studied. It is found that the relative roughness is inversely proportional to the IFF and inversely proportional to the shape factor. In addition, the model is compared with the existing research and experimental data to verify the rationality of the model.

Funder

National Natural Science Foundation of China

Key Project of Science and Technology Research Program of Hubei Provincial Education Department

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

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