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Title: Co‐Evolution of Specific Stiffness and Permeability of Rock Fractures Offset in Shear

Journal Article · · Journal of Geophysical Research. Solid Earth
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [2]; ORCiD logo [3];  [4];  [4]; ORCiD logo [1]; ORCiD logo [2]
  1. Energy and Mineral Engineering Pennsylvania State University University Park PA USA
  2. Energy and Mineral Engineering Pennsylvania State University University Park PA USA, Department of Geosciences Pennsylvania State University University Park PA USA
  3. Energy and Mineral Engineering Pennsylvania State University University Park PA USA, Dipartimento di Scienze della Terra La Sapienza Università di Roma Rome Italy
  4. Engineering Science and Mechanics Pennsylvania State University University Park PA USA

Abstract Fractures and faults represent planes of weakness and compliance in rock masses that serve as focal points for both microearthquakes and fluid transport, with seismicity and permeability evolution closely linked. Contact stiffness is highly stress‐sensitive and directly influences permeability. We explore the co‐evolution of specific stiffness and permeability of rough fractures under normal stress and shear offset using numerical simulations. Individual rough fractures are represented by variable amplitude (Root mean square) and wavelength ( λ ) using a granular mechanics model. Contacting rough surfaces are mated, offset in shear, and then compacted in displacement mode. The compacting fractures generate stress‐dependent changes in contact porosity, which govern both permeability and stiffness evolution. We establish a universal dimensionless relationship linking specific stiffness and permeability that inherently incorporates the effects of surface roughness, shear offset, and microcracking. The observed cracking effect—where local stress redistribution and pressure‐driven microcrack propagation dynamically alter the aperture field—introduces a nonlinear permeability response at high stress. Increased roughness amplitude and larger shear offsets reduce stiffness while dampening permeability sensitivity to stress, demonstrating a strong interplay between surface texture and hydro‐mechanical behavior. While the model captures this behavior effectively, deviations emerge at very low porosities due to extreme aperture sensitivity in this limit.

Sponsoring Organization:
USDOE
Grant/Contract Number:
EE0007080
OSTI ID:
2567105
Journal Information:
Journal of Geophysical Research. Solid Earth, Journal Name: Journal of Geophysical Research. Solid Earth Journal Issue: 5 Vol. 130; ISSN 2169-9313
Publisher:
American Geophysical Union (AGU)Copyright Statement
Country of Publication:
United States
Language:
English

References (40)

Analytical models of heat conduction in fractured rocks journal January 2014
Development of an empirical model relating permeability and specific stiffness for rough fractures from numerical deformation experiments: Fracture Permeability and Stiffness journal July 2016
Pressure and Fluid Effect on Frequency‐Dependent Elastic Moduli in Fully Saturated Tight Sandstone journal November 2017
Scaling of fluid flow versus fracture stiffness: SCALING FLOW-STIFFNESS journal May 2013
Volcanic Unrest: From Science to Society book January 2019
Hydraulic conductivity of rock fractures journal April 1996
Determination of stiffness and other joint properties from roughness measurements journal February 1983
Fracture Specific Stiffness: The Critical Link Between the Scaling Behavior of Hydro-Mechanical Coupling in Fractures and Seismic Monitoring book January 2019
A bonded-particle model for rock journal December 2004
Application of experimental design and optimization to PFC model calibration in uniaxial compression simulation journal September 2007
Strength evolution in heterogeneous granular aggregates during chemo–mechanical compaction journal June 2013
The role of fracture surface roughness in macroscopic fluid flow and heat transfer in fractured rocks journal September 2016
Influence of fracture roughness on shear strength, slip stability and permeability: A mechanistic analysis by three-dimensional digital rock modeling journal August 2020
Stability analysis of vertical excavations in hard rock by integrating a fracture system into a PFC model journal May 2009
Flow enhancement of a rough fracture journal September 2000
Evolution of permeability in a natural fracture: Significant role of pressure solution journal January 2004
Evolution of permeability in heterogeneous granular aggregates during chemical compaction: Granular mechanics models journal March 2012
Roughness of fault surfaces over nine decades of length scales: FAULT ROUGHNESS journal August 2012
Changes in permeability caused by transient stresses: Field observations, experiments, and mechanisms: DYNAMIC PERMEABILITY journal May 2012
Dynamic Stressing of Naturally Fractured Rocks: On the Relation Between Transient Changes in Permeability and Elastic Wave Velocity journal January 2020
Cyclic Permeability Evolution During Repose Then Reactivation of Fractures and Faults journal May 2019
Relationship Between Permeability and Resistivity of Sheared Rock Fractures: The Role of Tortuosity and Flow Path Percolation journal October 2023
Relating Hydro‐Mechanical and Elastodynamic Properties of Dynamically Stressed Tensile‐Fractured Rock in Relation to Applied Normal Stress, Fracture Aperture, and Contact Area journal July 2024
Frequency dependence of fracture stiffness journal February 1992
Experimental observation of fluid flow channels in a single fracture journal March 1998
Transmission of seismic waves across single natural fractures journal January 1990
Anisotropy in seismic velocities and amplitudes from multiple parallel fractures journal January 1990
Validity of Cubic Law for fluid flow in a deformable rock fracture journal December 1980
Approaching a universal scaling relationship between fracture stiffness and fluid flow journal February 2016
A Model for the Mechanics of Jointed Rock journal May 1968
The properties of random surfaces of significance in their contact
  • Whitehouse, David J.; Archard, J. F.
  • Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, Vol. 316, Issue 1524, p. 97-121 https://doi.org/10.1098/rspa.1970.0068
journal March 1970
The Area of Contact Between Rough Surfaces and Flats journal January 1967
Three-dimensional elastic wave scattering by a layer containing vertical periodic fractures journal January 2003
Plane wave solution for elastic wave scattering by a heterogeneous fracture journal June 2004
Seismicity triggered by fluid injection-induced aseismic slip journal June 2015
Understanding induced seismicity journal December 2016
The compliance of macrofractures journal September 2007
Mechanical and fracture behavior of rock mass with parallel concentrated joints with different dip angle and number based on PFC simulation journal June 2015
A discrete numerical model for granular assemblies journal March 1979
Xinxin-He/Fractured-Rock-Samples: v1.0 software March 2025

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