FRACTAL MONTE CARLO SIMULATIONS OF THE EFFECTIVE PERMEABILITY FOR A FRACTURE NETWORK

Aimin Chen, Tongjun Miao, Zun Li, Huajie Zhang, Lijuan Jiang, Junfeng Liu, Changbin Yan and Boming Yu
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Aimin Chen: College of Chemistry and Chemical Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China
Tongjun Miao: ��School of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China
Zun Li: ��School of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China
Huajie Zhang: ��School of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China
Lijuan Jiang: ��School of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China
Junfeng Liu: ��School of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China
Changbin Yan: ��School of Civil Engineering, Zhengzhou University, Zhengzhou, Henan 450001 P. R. China
Boming Yu: �School of Physics, Huazhong University of Science and Technology, Wuhan 430074, Hubei, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 04, 1-8

Abstract: Modeling fluid flow and transport in fracture network is of considerable importance in a wide range of science and engineering. In this work, a probability model of the effective permeability for fracture network is developed based on fractal theory and Monte Carlo method. The proposed numerical model is expressed as a function of the fractal dimension, the minimum/maximum trace length, fracture orientation as well as random number, and the validity is validated by comparison with the analytical fractal model. It is found that the effective permeability increases with the increase of the fractal dimension and fracture density of fracture network, as well as decreases with increase of the dip angle of fractures. The proposed Fractal Monte Carlo method can significantly reduce the computational load compared with conventional numerical techniques and also permits to relate the other flow and transport properties in fracture networks.

Keywords: Fractal Monte Carlo Method; Permeability; Fractal; Fracture Networks (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:30:y:2022:i:04:n:s0218348x22500748

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DOI: 10.1142/S0218348X22500748

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