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

被引：6

作者：

Chen, Aimin ^{[1
]}

Miao, Tongjun ^{[2
]}

Li, Zun ^{[2
]}

Zhang, Huajie ^{[2
]}

Jiang, Lijuan ^{[2
]}

Liu, Junfeng ^{[2
]}

Yan, Changbin ^{[3
]}

Yu, Boming ^{[4
]}

机构：

[1] Xinxiang Univ, Coll Chem & Chem Engn, Xinxiang 453003, Henan, Peoples R China

[2] Xinxiang Univ, Sch Phys & Elect Engn, Xinxiang 453003, Henan, Peoples R China

[3] Zhengzhou Univ, Sch Civil Engn, Zhengzhou 450001, Henan, Peoples R China

[4] Huazhong Univ Sci & Technol, Sch Phys, Wuhan 430074, Hubei, Peoples R China

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2022年 / 30卷 / 04期

关键词：

Fractal Monte Carlo Method; Permeability; Fractal; Fracture Networks; POROUS-MEDIA; THERMAL-CONDUCTIVITY; FLOW; PREDICTION; RESERVOIR; MODEL;

D O I：

10.1142/S0218348X22500748

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：8

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