A FRACTAL NETWORK MODEL FOR FRACTURED POROUS MEDIA

Author:

XU PENG12ORCID,LI CUIHONG3,QIU SHUXIA3,SASMITO AGUS PULUNG4

Affiliation:

1. College of Science, China Jiliang University, 258 Xueyuan Street, Hangzhou 310018, P. R. China

2. State Key Laboratory of Oil and Gas Reservoir, Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, P. R. China

3. College of Science, China Jiliang University, Hangzhou 310018, P. R. China

4. Department of Mining and Materials Engineering, McGill University, Montreal H3A2A7, Canada

Abstract

The transport properties and mechanisms of fractured porous media are very important for oil and gas reservoir engineering, hydraulics, environmental science, chemical engineering, etc. In this paper, a fractal dual-porosity model is developed to estimate the equivalent hydraulic properties of fractured porous media, where a fractal tree-like network model is used to characterize the fracture system according to its fractal scaling laws and topological structures. The analytical expressions for the effective permeability of fracture system and fractured porous media, tortuosity, fracture density and fraction are derived. The proposed fractal model has been validated by comparisons with available experimental data and numerical simulation. It has been shown that fractal dimensions for fracture length and aperture have significant effect on the equivalent hydraulic properties of fractured porous media. The effective permeability of fracture system can be increased with the increase of fractal dimensions for fracture length and aperture, while it can be remarkably lowered by introducing tortuosity at large branching angle. Also, a scaling law between the fracture density and fractal dimension for fracture length has been found, where the scaling exponent depends on the fracture number. The present fractal dual-porosity model may shed light on the transport physics of fractured porous media and provide theoretical basis for oil and gas exploitation, underground water, nuclear waste disposal and geothermal energy extraction as well as chemical engineering, etc.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Zhejiang Province (CN)

Open Fund of State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

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