Articles | Volume 11, issue 3
https://doi.org/10.5194/se-11-947-2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Special issue:
https://doi.org/10.5194/se-11-947-2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Research article
| 
29 May 2020
Research article |
| 29 May 2020
| 29 May 2020
The hydraulic efficiency of single fractures: correcting the cubic law parameterization for self-affine surface roughness and fracture closure
Maximilian O. Kottwitz
CORRESPONDING AUTHOR
Johannes Gutenberg University, Institute of Geosciences, Johann-Joachim-Becher-Weg 21, 55128 Mainz, Germany
Anton A. Popov
Johannes Gutenberg University, Institute of Geosciences, Johann-Joachim-Becher-Weg 21, 55128 Mainz, Germany
Tobias S. Baumann
Johannes Gutenberg University, Institute of Geosciences, Johann-Joachim-Becher-Weg 21, 55128 Mainz, Germany
Boris J. P. Kaus
Johannes Gutenberg University, Institute of Geosciences, Johann-Joachim-Becher-Weg 21, 55128 Mainz, Germany
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Cited
18 citations as recorded by crossref.
- Geometry Changes and Fractal-Based Permeability Model of Rough-Walled Limestone Fracture During Chemical Dissolution C. Li et al. https://doi.org/10.1007/s00603-025-05017-2
- Permeability Evolution and Failure Behavior of Coal Under Coupled Oil–Gas Porous Flow and Mining-Induced Stress Y. Shao et al. https://doi.org/10.1007/s00603-026-05432-z
- Sensitivity Analysis of Mechanical Loading on Flow Through a Rough-Surfaced Fracture B. Stock et al. https://doi.org/10.1007/s00603-026-05615-8
- Seepage-Induced Crack Opening in Cemented Joints: A Hydromechanical Study for Geotechnical Applications N. Hussain et al. https://doi.org/10.3390/geotechnics6010027
- Predicting the self-healing performance of microbial self-healing concrete: Static, dynamic intelligent prediction, and formula-based approaches D. Liu & A. Li https://doi.org/10.1016/j.conbuildmat.2026.147253
- Non-Darcy seepage characteristics of single rough fractured rock mass under loading and unloading conditions C. Zhang et al. https://doi.org/10.1063/5.0274118
- Experimental Study on Grouting and Flow Characteristics of Rough Vertical Fractures Z. Li et al. https://doi.org/10.1155/2022/3165524
- Impact of shear displacement on advective transport in a laboratory-scale fracture L. Zou et al. https://doi.org/10.1016/j.gete.2021.100278
- Stochastic Dynamics of Two‐Dimensional Particle Motion in Darcy‐Scale Heterogeneous Porous Media A. Dell’Oca & M. Dentz https://doi.org/10.1029/2023WR035084
- Estimating anisotropy of fracture patterns using gray level Co-occurrence matrix (GLCM) approach: Implication on understanding permeability anisotropy R. Rai et al. https://doi.org/10.1016/j.jsg.2026.105661
- Loop-Component Index (LCI): A bounded topological metric for quantifying transition from component to loop-dominated fracture networks S. Lahiri https://doi.org/10.1016/j.jsg.2026.105658
- Extending node-based topological measures of fracture network connectivity using spatial heterogeneity S. Lahiri & A. Roy https://doi.org/10.1016/j.jsg.2026.105634
- Low-frequency vibration-induced crack expansion: Insights from resonance frequency and amplitude effects J. Feng et al. https://doi.org/10.1016/j.jgsce.2026.205899
- A nonlinear flow model for rough fractures with geometric heterogeneity based on improved Izbash’s law Y. Zhang & Q. Li https://doi.org/10.1016/j.jhydrol.2024.130894
- Inapplicability of some cubic law corrections for slow flows in channels with rough walls A. Zolotarev & V. Lapin https://doi.org/10.1063/5.0309011
- Investigating the effects of intersection flow localization in equivalent-continuum-based upscaling of flow in discrete fracture networks M. Kottwitz et al. https://doi.org/10.5194/se-12-2235-2021
- Quantification of Fracture Roughness by Change Probabilities and Hurst Exponents T. Gutjahr et al. https://doi.org/10.1007/s11004-021-09985-3
- Roughness of fracture surfaces in numerical models and laboratory experiments S. Abe & H. Deckert https://doi.org/10.5194/se-12-2407-2021
18 citations as recorded by crossref.
- Geometry Changes and Fractal-Based Permeability Model of Rough-Walled Limestone Fracture During Chemical Dissolution C. Li et al. https://doi.org/10.1007/s00603-025-05017-2
- Permeability Evolution and Failure Behavior of Coal Under Coupled Oil–Gas Porous Flow and Mining-Induced Stress Y. Shao et al. https://doi.org/10.1007/s00603-026-05432-z
- Sensitivity Analysis of Mechanical Loading on Flow Through a Rough-Surfaced Fracture B. Stock et al. https://doi.org/10.1007/s00603-026-05615-8
- Seepage-Induced Crack Opening in Cemented Joints: A Hydromechanical Study for Geotechnical Applications N. Hussain et al. https://doi.org/10.3390/geotechnics6010027
- Predicting the self-healing performance of microbial self-healing concrete: Static, dynamic intelligent prediction, and formula-based approaches D. Liu & A. Li https://doi.org/10.1016/j.conbuildmat.2026.147253
- Non-Darcy seepage characteristics of single rough fractured rock mass under loading and unloading conditions C. Zhang et al. https://doi.org/10.1063/5.0274118
- Experimental Study on Grouting and Flow Characteristics of Rough Vertical Fractures Z. Li et al. https://doi.org/10.1155/2022/3165524
- Impact of shear displacement on advective transport in a laboratory-scale fracture L. Zou et al. https://doi.org/10.1016/j.gete.2021.100278
- Stochastic Dynamics of Two‐Dimensional Particle Motion in Darcy‐Scale Heterogeneous Porous Media A. Dell’Oca & M. Dentz https://doi.org/10.1029/2023WR035084
- Estimating anisotropy of fracture patterns using gray level Co-occurrence matrix (GLCM) approach: Implication on understanding permeability anisotropy R. Rai et al. https://doi.org/10.1016/j.jsg.2026.105661
- Loop-Component Index (LCI): A bounded topological metric for quantifying transition from component to loop-dominated fracture networks S. Lahiri https://doi.org/10.1016/j.jsg.2026.105658
- Extending node-based topological measures of fracture network connectivity using spatial heterogeneity S. Lahiri & A. Roy https://doi.org/10.1016/j.jsg.2026.105634
- Low-frequency vibration-induced crack expansion: Insights from resonance frequency and amplitude effects J. Feng et al. https://doi.org/10.1016/j.jgsce.2026.205899
- A nonlinear flow model for rough fractures with geometric heterogeneity based on improved Izbash’s law Y. Zhang & Q. Li https://doi.org/10.1016/j.jhydrol.2024.130894
- Inapplicability of some cubic law corrections for slow flows in channels with rough walls A. Zolotarev & V. Lapin https://doi.org/10.1063/5.0309011
- Investigating the effects of intersection flow localization in equivalent-continuum-based upscaling of flow in discrete fracture networks M. Kottwitz et al. https://doi.org/10.5194/se-12-2235-2021
- Quantification of Fracture Roughness by Change Probabilities and Hurst Exponents T. Gutjahr et al. https://doi.org/10.1007/s11004-021-09985-3
- Roughness of fracture surfaces in numerical models and laboratory experiments S. Abe & H. Deckert https://doi.org/10.5194/se-12-2407-2021
Saved (final revised paper)
Latest update: 06 Jul 2026
Short summary
In this study, we conducted 3-D numerical simulations of fluid flow in synthetically generated fractures that statistically reflect geometries of naturally occurring fractures. We introduced a non-dimensional characterization scheme to relate fracture permeabilities estimated from the numerical simulations to their geometries in a unique manner. By that, we refined the scaling law for fracture permeability, which can be easily integrated into discrete-fracture-network (DFN) modeling approaches.
In this study, we conducted 3-D numerical simulations of fluid flow in synthetically generated...
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