Finite‐Size Scaling for the Permeability of Discrete Fracture Networks

Yin, Tingchang; Man, Teng; Li, Ling; Galindo‐Torres, S. A.

doi:10.1029/2022gl100837

Geophysical Research Letters

2023

DOI: 10.1029/2022gl100837

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Finite‐Size Scaling for the Permeability of Discrete Fracture Networks

Tingchang Yin

Teng Man

Ling Li

et al.

Abstract: The permeability of fractured media is related to the geometry of fracture networks that are almost impossible to observe/measure in three dimensions (3D) (

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2024

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Cited by 3 publications

References 89 publications

(158 reference statements)

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Uniaxial Compression Testing of Sandstone under Microscope: Damage Characteristics and Failure Mechanisms

Hu,

Xia,

Chen

et al. 2024

KSCE J Civ Eng

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Uniaxial Compression Testing of Sandstone under Microscope: Damage Characteristics and Failure Mechanisms

Hu,

Xia,

Chen

et al. 2024

KSCE J Civ Eng

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Péclet‐Number‐Dependent Longitudinal Dispersion in Discrete Fracture Networks

Yin,

Man,

Zhang

et al. 2024

Water Resources Research

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Dispersion in fractured media impacts many environmental and geomechanical practices. It is mainly controlled by the structure of fracture networks and the Péclet number , but predicting it remains challenging. In this study, numerous three‐dimensional stochastic discrete fracture networks (DFNs) were generated, where the density, size, and orientation vary significantly. The aperture and conductivity are proportional to the size, following power‐laws. Through flow and transport simulation, we evaluated the longitudinal dispersion coefficients . We found that, as density increases, the tortuosity decreases and the first passage time distributions approximate bell‐shaped curves more closely, which suggests, but does not fully guarantee, that an asymptotic dispersion regime may emerge for denser DFNs, as solute particles traverse more fractures and the macroscopic inter‐fracture mixing is more homogeneous. We then determined the values for DFNs in which the time evolution of the variance of particle displacements becomes linear and hence asymptotic. The results show that both and fracture density affect , but the former has a much stronger influence than the latter. A new Péclet number was recalculated for all DFNs, where the characteristic length scale accounts for the influence of large fractures. Dimensionless values show a unique power‐law relationship with high values. Furthermore, when advection dominates, the dimensionless can be described by a universal finite‐size scaling function depending on fracture density and domain sizes. The findings of this study enhance the understanding of transport in fracture networks and imply the potential for predicting in a broad range of scenarios using statistics on fracture parameters obtainable at the field scale.

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Estimation of the ice melting point in molecular dynamics simulations based on the finite-size effects

Ji,

Yang,

Lei

et al. 2024

Phys. Rev. E

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Finite‐Size Scaling for the Permeability of Discrete Fracture Networks

Abstract: The permeability of fractured media is related to the geometry of fracture networks that are almost impossible to observe/measure in three dimensions (3D) (

Cited by 3 publications

References 89 publications

Uniaxial Compression Testing of Sandstone under Microscope: Damage Characteristics and Failure Mechanisms

Uniaxial Compression Testing of Sandstone under Microscope: Damage Characteristics and Failure Mechanisms

Péclet‐Number‐Dependent Longitudinal Dispersion in Discrete Fracture Networks

Estimation of the ice melting point in molecular dynamics simulations based on the finite-size effects

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