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Title: The Impact of Frictional Healing on Stick-Slip Recurrence Interval and Stress Drop: Implications for Earthquake Scaling: The impact of healing on stick-slip

Abstract

Abstract Interseismic frictional healing is an essential process in the seismic cycle. Observations of both natural and laboratory earthquakes demonstrate that the magnitude of stress drop scales with the logarithm of recurrence time, which is a cornerstone of the rate and state friction (RSF) laws. However, the origin of this log linear behavior and short time “cutoff” for small recurrence intervals remains poorly understood. Here we use RSF laws to demonstrate that the back‐projected time of null‐healing intrinsically scales with the initial frictional state θ i . We explore this behavior and its implications for (1) the short‐term cutoff time of frictional healing and (2) the connection between healing rates derived from stick‐slip sliding versus slide‐hold‐slide tests. We use a novel, continuous solution of RSF for a one‐dimensional spring‐slider system with inertia. The numerical solution continuously traces frictional state evolution (and healing) and shows that stick‐slip cutoff time also scales with frictional state at the conclusion of the dynamic slip process θ i (= D c / V peak ). This numerical investigation on the origins of stick‐slip response is verified by comparing laboratory data for a range of peak slip velocities. Slower slipmore » motions yield lesser magnitude of friction drop at a given time due to higher frictional state at the end of each slip event. Our results provide insight on the origin of log linear stick‐slip evolution and suggest an approach to estimating the critical slip distance on faults that exhibit gradual accelerations, such as for slow earthquakes.« less

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
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  1. Pennsylvania State Univ., University Park, PA (United States)
Publication Date:
Research Org.:
Pennsylvania State Univ., University Park, PA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1512959
Alternate Identifier(s):
OSTI ID: 1412585
Grant/Contract Number:  
EE0006761; FE0023354; DE‐EE0006761; DE‐FE0023354
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Geophysical Research. Solid Earth
Additional Journal Information:
Journal Volume: 122; Journal Issue: 12; Journal ID: ISSN 2169-9313
Publisher:
American Geophysical Union
Country of Publication:
United States
Language:
English
Subject:
58 GEOSCIENCES; frictional healing; stick slip; rate and state friction; unstable slip; earthquake mechanics; earthquake recurrence

Citation Formats

Im, Kyungjae, Elsworth, Derek, Marone, Chris, and Leeman, John. The Impact of Frictional Healing on Stick-Slip Recurrence Interval and Stress Drop: Implications for Earthquake Scaling: The impact of healing on stick-slip. United States: N. p., 2017. Web. doi:10.1002/2017jb014476.
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Im, Kyungjae, Elsworth, Derek, Marone, Chris, & Leeman, John. The Impact of Frictional Healing on Stick-Slip Recurrence Interval and Stress Drop: Implications for Earthquake Scaling: The impact of healing on stick-slip. United States. https://doi.org/10.1002/2017jb014476
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Im, Kyungjae, Elsworth, Derek, Marone, Chris, and Leeman, John. Thu . "The Impact of Frictional Healing on Stick-Slip Recurrence Interval and Stress Drop: Implications for Earthquake Scaling: The impact of healing on stick-slip". United States. https://doi.org/10.1002/2017jb014476. https://www.osti.gov/servlets/purl/1512959.
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@article{osti_1512959,
title = {The Impact of Frictional Healing on Stick-Slip Recurrence Interval and Stress Drop: Implications for Earthquake Scaling: The impact of healing on stick-slip},
author = {Im, Kyungjae and Elsworth, Derek and Marone, Chris and Leeman, John},
abstractNote = {Abstract Interseismic frictional healing is an essential process in the seismic cycle. Observations of both natural and laboratory earthquakes demonstrate that the magnitude of stress drop scales with the logarithm of recurrence time, which is a cornerstone of the rate and state friction (RSF) laws. However, the origin of this log linear behavior and short time “cutoff” for small recurrence intervals remains poorly understood. Here we use RSF laws to demonstrate that the back‐projected time of null‐healing intrinsically scales with the initial frictional state θ i . We explore this behavior and its implications for (1) the short‐term cutoff time of frictional healing and (2) the connection between healing rates derived from stick‐slip sliding versus slide‐hold‐slide tests. We use a novel, continuous solution of RSF for a one‐dimensional spring‐slider system with inertia. The numerical solution continuously traces frictional state evolution (and healing) and shows that stick‐slip cutoff time also scales with frictional state at the conclusion of the dynamic slip process θ i (= D c / V peak ). This numerical investigation on the origins of stick‐slip response is verified by comparing laboratory data for a range of peak slip velocities. Slower slip motions yield lesser magnitude of friction drop at a given time due to higher frictional state at the end of each slip event. Our results provide insight on the origin of log linear stick‐slip evolution and suggest an approach to estimating the critical slip distance on faults that exhibit gradual accelerations, such as for slow earthquakes.},
doi = {10.1002/2017jb014476},
journal = {Journal of Geophysical Research. Solid Earth},
number = 12,
volume = 122,
place = {United States},
year = {Thu Nov 16 00:00:00 EST 2017},
month = {Thu Nov 16 00:00:00 EST 2017}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1002/2017jb014476
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Cited by: 20 works
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Figures / Tables:

Figure 1 Figure 1: Evolution of friction (solid line) and theoretical frictional healing (dashed line) during a slide-hold-slide experiment for a spring-slider system. Laboratory experiments measure apparent healing, which includes both increased frictional state due to healing during quasi-stationary contact and weakening associated with renewed slip. The red lines are Ruina slipmore » law; the blues lines are Dieterich aging law.« less
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Works referenced in this record:

Stick and Slip
journal, May 1956

The roles of time and displacement in the evolution effect in rock friction
journal, September 1994

  • Beeler, N. M.; Tullis, T. E.; Weeks, J. D.
  • Geophysical Research Letters, Vol. 21, Issue 18
  • DOI: 10.1029/94GL01599

Rate and state dependent friction and the stability of sliding between elastically deformable solids
journal, September 2001

  • Rice, James R.; Lapusta, Nadia; Ranjith, K.
  • Journal of the Mechanics and Physics of Solids, Vol. 49, Issue 9
  • DOI: 10.1016/S0022-5096(01)00042-4

Time-dependent friction in rocks
journal, July 1972

On the relation between fault strength and frictional stability
journal, January 2011

  • Ikari, Matt J.; Marone, Chris; Saffer, Demian M.
  • Geology, Vol. 39, Issue 1
  • DOI: 10.1130/G31416.1

Frictional Resistance within the Wake of Frictional Rupture Fronts
journal, June 2017

Laboratory observations of slow earthquakes and the spectrum of tectonic fault slip modes
journal, March 2016

  • Leeman, J. R.; Saffer, D. M.; Scuderi, M. M.
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms11104

Effect of humidity on granular friction at room temperature: EFFECT OF HUMIDITY ON GRANULAR FRICTION
journal, November 2002

  • Frye, Kevin M.; Marone, Chris
  • Journal of Geophysical Research: Solid Earth, Vol. 107, Issue B11
  • DOI: 10.1029/2001JB000654

Dynamic properties of stick-slip friction of rock
journal, February 1976

Solid friction from stick–slip down to pinning and aging
journal, May 2006

Slip localization and fault weakening as a consequence of fault gouge strengthening — Insights from laboratory experiments
journal, November 2008

  • Giger, Silvio B.; Cox, Stephen F.; Tenthorey, Eric
  • Earth and Planetary Science Letters, Vol. 276, Issue 1-2
  • DOI: 10.1016/j.epsl.2008.09.004

Effects of load point velocity on frictional instability behavior
journal, March 1990

The effect of strain rate sensitivity on dynamic friction of metals
journal, June 1994

Fault healing promotes high-frequency earthquakes in laboratory experiments and on natural faults
journal, October 2012

  • McLaskey, Gregory C.; Thomas, Amanda M.; Glaser, Steven D.
  • Nature, Vol. 491, Issue 7422
  • DOI: 10.1038/nature11512

Dynamic motion of a single degree of freedom system following a rate and state dependent friction law
journal, January 1986

Laboratory study of fault healing and lithification in simulated fault gouge under hydrothermal conditions
journal, August 1997

A revised rate- and state-dependent friction law obtained by constraining constitutive and evolution laws separately with laboratory data: A REVISED RATE AND STATE FRICTION LAW
journal, February 2012

  • Nagata, K.; Nakatani, M.; Yoshida, S.
  • Journal of Geophysical Research: Solid Earth, Vol. 117, Issue B2
  • DOI: 10.1029/2011JB008818

Slip-stick and the evolution of frictional strength
journal, January 2010

  • Ben-David, Oded; Rubinstein, Shmuel M.; Fineberg, Jay
  • Nature, Vol. 463, Issue 7277
  • DOI: 10.1038/nature08676

Stick-Slip as a Mechanism for Earthquakes
journal, August 1966

Cohesive strengthening of fault zones during the interseismic period: An experimental study
journal, January 2006

  • Tenthorey, Eric; Cox, Stephen F.
  • Journal of Geophysical Research, Vol. 111, Issue B9
  • DOI: 10.1029/2005JB004122

Healing of simulated fault gouges aided by pressure solution: Results from rock analogue experiments
journal, January 2008

  • Niemeijer, André; Marone, Chris; Elsworth, Derek
  • Journal of Geophysical Research, Vol. 113, Issue B4
  • DOI: 10.1029/2007JB005376

Earthquake nucleation on model faults with rate- and state-dependent friction: Effects of inertia
journal, June 1996

  • Roy, Mousumi; Marone, Chris
  • Journal of Geophysical Research: Solid Earth, Vol. 101, Issue B6
  • DOI: 10.1029/96JB00529

Stability of Steady Frictional Slipping
journal, June 1983

  • Rice, J. R.; Ruina, A. L.
  • Journal of Applied Mechanics, Vol. 50, Issue 2
  • DOI: 10.1115/1.3167042

Real contacts and evolution laws for rate and state friction: RATE AND STATE FRICTION
journal, August 2006

Fault zone restrengthening and frictional healing: The role of pressure solution
journal, January 2005

Earthquakes and friction laws
journal, January 1998

  • Scholz, Christopher H.
  • Nature, Vol. 391, Issue 6662
  • DOI: 10.1038/34097

On a model of frictional sliding
journal, October 1996

  • Estrin, Y.; Br�chet, Y.
  • Pure and Applied Geophysics PAGEOPH, Vol. 147, Issue 4
  • DOI: 10.1007/BF01089700

Effects of loading velocity, stiffness, and inertia on the dynamics of a single degree of freedom Spring-Slider System
journal, December 1991

  • Gu, Yaojun; Wong, Teng-fong
  • Journal of Geophysical Research: Solid Earth, Vol. 96, Issue B13
  • DOI: 10.1029/91JB02271

Effects of variable normal stress on rock friction: Observations and constitutive equations
journal, January 1992

  • Linker, M. F.; Dieterich, J. H.
  • Journal of Geophysical Research, Vol. 97, Issue B4
  • DOI: 10.1029/92JB00017

Earthquake stress drop and laboratory-inferred interseismic strength recovery
journal, December 2001

  • Beeler, N. M.; Hickman, S. H.; Wong, T. -f.
  • Journal of Geophysical Research: Solid Earth, Vol. 106, Issue B12
  • DOI: 10.1029/2000JB900242

The Nature of the Static and Kinetic Coefficients of Friction
journal, November 1951

  • Rabinowicz, Ernest
  • Journal of Applied Physics, Vol. 22, Issue 11
  • DOI: 10.1063/1.1699869

Influence of grain characteristics on the friction of granular shear zones: GRAIN SHAPE INFLUENCE ON FRICTION
journal, October 2002

  • Mair, Karen; Frye, Kevin M.; Marone, Chris
  • Journal of Geophysical Research: Solid Earth, Vol. 107, Issue B10
  • DOI: 10.1029/2001JB000516

Fault behavior and characteristic earthquakes: Examples from the Wasatch and San Andreas Fault Zones
journal, July 1984

  • Schwartz, David P.; Coppersmith, Kevin J.
  • Journal of Geophysical Research: Solid Earth, Vol. 89, Issue B7
  • DOI: 10.1029/JB089iB07p05681

Quantitative measure of the variation in fault rheology due to fluid-rock interactions
journal, May 1998

  • Blanpied, M. L.; Marone, C. J.; Lockner, D. A.
  • Journal of Geophysical Research: Solid Earth, Vol. 103, Issue B5
  • DOI: 10.1029/98JB00162

Elevated time-dependent strengthening rates observed in San Andreas Fault drilling samples
journal, September 2016

  • Ikari, Matt J.; Carpenter, Brett M.; Vogt, Christoph
  • Earth and Planetary Science Letters, Vol. 450
  • DOI: 10.1016/j.epsl.2016.06.036

A microphysical interpretation of rate- and state-dependent friction for fault gouge: MICROMECHANICS OF FAULT FRICTION
journal, May 2016

  • Ikari, Matt J.; Carpenter, Brett M.; Marone, Chris
  • Geochemistry, Geophysics, Geosystems, Vol. 17, Issue 5
  • DOI: 10.1002/2016GC006286

Intrinsic and apparent short-time limits for fault healing: Theory, observations, and implications for velocity-dependent friction: CUTOFF TIME OF FRICTIONAL HEALING
journal, December 2006

  • Nakatani, Masao; Scholz, Christopher H.
  • Journal of Geophysical Research: Solid Earth, Vol. 111, Issue B12
  • DOI: 10.1029/2005JB004096

Variations in rupture process with recurrence interval in a repeated small earthquake
journal, April 1994

  • Vidale, J. E.; ElIsworth, W. L.; Cole, A.
  • Nature, Vol. 368, Issue 6472
  • DOI: 10.1038/368624a0

Modeling of rock friction: 1. Experimental results and constitutive equations
journal, January 1979

Effects of loading rate and normal stress on stress drop and stick-slip recurrence interval
book, January 2000

  • Karner, Stephen L.; Marone, Chris
  • Geocomplexity and the Physics of Earthquakes
  • DOI: 10.1029/GM120p0187

Slip instability and state variable friction laws
journal, December 1983

Direct observation of frictional contacts: New insights for state-dependent properties
journal, January 1994

  • Dieterich, James H.; Kilgore, Brian D.
  • Pure and Applied Geophysics PAGEOPH, Vol. 143, Issue 1-3
  • DOI: 10.1007/BF00874332

The role of asperity indentation and ploughing in rock friction — I
journal, May 1976

  • Scholz, C. H.; Engelder, J. T.
  • International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 13, Issue 5
  • DOI: 10.1016/0148-9062(76)90819-6

Fractional restrengthening in simulated fault gouge: Effect of shear load perturbations
journal, September 2001

  • Karner, Stephen L.; Marone, Chris
  • Journal of Geophysical Research: Solid Earth, Vol. 106, Issue B9
  • DOI: 10.1029/2001JB000263

Scaling of stress drop with recurrence interval and loading velocity for laboratory-derived fault strength relations: STRESS DROP SCALING
journal, January 2003

  • He, Changrong; Wong, Teng-fong; Beeler, Nick M.
  • Journal of Geophysical Research: Solid Earth, Vol. 108, Issue B1
  • DOI: 10.1029/2002JB001890

Laboratory-Derived Friction laws and Their Application to Seismic Faulting
journal, May 1998

Precursory changes in seismic velocity for the spectrum of earthquake failure modes
journal, August 2016

  • Scuderi, M. M.; Marone, C.; Tinti, E.
  • Nature Geoscience, Vol. 9, Issue 9
  • DOI: 10.1038/ngeo2775

On the velocity‐strengthening behavior of dry friction
journal, March 2014

  • Bar‐Sinai, Yohai; Spatschek, Robert; Brener, Efim A.
  • Journal of Geophysical Research: Solid Earth, Vol. 119, Issue 3
  • DOI: 10.1002/2013JB010586

Laboratory constraints on models of earthquake recurrence: Earthquake recurrence
journal, December 2014

  • Beeler, N. M.; Tullis, Terry; Junger, Jenni
  • Journal of Geophysical Research: Solid Earth, Vol. 119, Issue 12
  • DOI: 10.1002/2014JB011184

Critical evaluation of state evolution laws in rate and state friction: Fitting large velocity steps in simulated fault gouge with time‐, slip‐, and stress‐dependent constitutive laws
journal, September 2015

  • Bhattacharya, Pathikrit; Rubin, Allan M.; Bayart, Elsa
  • Journal of Geophysical Research: Solid Earth, Vol. 120, Issue 9
  • DOI: 10.1002/2015JB012437

Does fault strengthening in laboratory rock friction experiments really depend primarily upon time and not slip?: IS FAULT HEALING REALLY TIME DEPENDENT?
journal, August 2017

  • Bhattacharya, Pathikrit; Rubin, Allan M.; Beeler, Nicholas M.
  • Journal of Geophysical Research: Solid Earth, Vol. 122, Issue 8
  • DOI: 10.1002/2017JB013936

Frictional heterogeneities on carbonate-bearing normal faults: Insights from the Monte Maggio Fault, Italy: Complex Friction on Carbonate Faults
journal, December 2014

  • Carpenter, B. M.; Scuderi, M. M.; Collettini, C.
  • Journal of Geophysical Research: Solid Earth, Vol. 119, Issue 12
  • DOI: 10.1002/2014JB011337

Rate and state frictional and healing behavior of carbonate fault gouge explained using microphysical model: Microphysical Model for Friction
journal, December 2016

  • Chen, Jianye; Spiers, Christopher J.
  • Journal of Geophysical Research: Solid Earth, Vol. 121, Issue 12
  • DOI: 10.1002/2016JB013470

On the origin and evolution of electrical signals during frictional stick slip in sheared granular material
journal, May 2014

  • Leeman, J. R.; Scuderi, M. M.; Marone, C.
  • Journal of Geophysical Research: Solid Earth, Vol. 119, Issue 5
  • DOI: 10.1002/2013JB010793

Large‐displacement, hydrothermal frictional properties of DFDP‐1 fault rocks, Alpine Fault, New Zealand: Implications for deep rupture propagation
journal, February 2016

  • Niemeijer, A. R.; Boulton, C.; Toy, V. G.
  • Journal of Geophysical Research: Solid Earth, Vol. 121, Issue 2
  • DOI: 10.1002/2015JB012593

A micromechanical model of rate and state friction: 1. Static and dynamic sliding: RATE AND STATE FRICTION MODEL
journal, April 2017

  • Perfettini, Hugo; Molinari, Alain
  • Journal of Geophysical Research: Solid Earth, Vol. 122, Issue 4
  • DOI: 10.1002/2016JB013302
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