Correlations between Geometric Properties and Permeability of 2D Fracture Networks

The equivalent permeability of fractured rock masses plays an important role in understanding the fluid flow and solute transport properties in underground engineering, yet the effective predictive models have not been proposed. This study established mathematical expressions to link permeability of...

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Main Authors: Xiaolin Wang, Liyuan Yu, Hanqing Yang
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Advances in Civil Engineering
Online Access:http://dx.doi.org/10.1155/2021/6645238
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author Xiaolin Wang
Liyuan Yu
Hanqing Yang
author_facet Xiaolin Wang
Liyuan Yu
Hanqing Yang
author_sort Xiaolin Wang
collection DOAJ
description The equivalent permeability of fractured rock masses plays an important role in understanding the fluid flow and solute transport properties in underground engineering, yet the effective predictive models have not been proposed. This study established mathematical expressions to link permeability of 2D fracture networks to the geometric properties of fractured rock masses, including number density of fracture lines, total length of fractures per square meter, and fractal dimensions of fracture network structures and intersections. The results show that the equivalent permeability has power law relationships with the geometric properties of fracture networks. The fractal dimensions that can be easily obtained from an engineering site can be used to predict the permeability of a rock fracture network. When the fractal dimensions of fracture network structures and intersections exceed the critical values, the effect of randomness of fracture locations is negligible. The equivalent permeability of a fracture network increases with the increment of fracture density and/or fractal dimensions proportionally.
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spelling doaj-art-c224903f915c46a7892989179818b6252025-02-03T01:05:26ZengWileyAdvances in Civil Engineering1687-80861687-80942021-01-01202110.1155/2021/66452386645238Correlations between Geometric Properties and Permeability of 2D Fracture NetworksXiaolin Wang0Liyuan Yu1Hanqing Yang2State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou 221116, ChinaState Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou 221116, ChinaState Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou 221116, ChinaThe equivalent permeability of fractured rock masses plays an important role in understanding the fluid flow and solute transport properties in underground engineering, yet the effective predictive models have not been proposed. This study established mathematical expressions to link permeability of 2D fracture networks to the geometric properties of fractured rock masses, including number density of fracture lines, total length of fractures per square meter, and fractal dimensions of fracture network structures and intersections. The results show that the equivalent permeability has power law relationships with the geometric properties of fracture networks. The fractal dimensions that can be easily obtained from an engineering site can be used to predict the permeability of a rock fracture network. When the fractal dimensions of fracture network structures and intersections exceed the critical values, the effect of randomness of fracture locations is negligible. The equivalent permeability of a fracture network increases with the increment of fracture density and/or fractal dimensions proportionally.http://dx.doi.org/10.1155/2021/6645238
spellingShingle Xiaolin Wang
Liyuan Yu
Hanqing Yang
Correlations between Geometric Properties and Permeability of 2D Fracture Networks
Advances in Civil Engineering
title Correlations between Geometric Properties and Permeability of 2D Fracture Networks
title_full Correlations between Geometric Properties and Permeability of 2D Fracture Networks
title_fullStr Correlations between Geometric Properties and Permeability of 2D Fracture Networks
title_full_unstemmed Correlations between Geometric Properties and Permeability of 2D Fracture Networks
title_short Correlations between Geometric Properties and Permeability of 2D Fracture Networks
title_sort correlations between geometric properties and permeability of 2d fracture networks
url http://dx.doi.org/10.1155/2021/6645238
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AT liyuanyu correlationsbetweengeometricpropertiesandpermeabilityof2dfracturenetworks
AT hanqingyang correlationsbetweengeometricpropertiesandpermeabilityof2dfracturenetworks