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Fractal Monte Carlo Simulations Of The Effective Permeability For A Fracture Network

Author

Listed:
  • 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)

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.

Suggested Citation

  • Aimin Chen & Tongjun Miao & Zun Li & Huajie Zhang & Lijuan Jiang & Junfeng Liu & Changbin Yan & Boming Yu, 2022. "Fractal Monte Carlo Simulations Of The Effective Permeability For A Fracture Network," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(04), pages 1-8, June.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:04:n:s0218348x22500748
    DOI: 10.1142/S0218348X22500748
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