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rate and state friction

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Journal Article

Investigation of injection-induced seismicity using a coupled fluid flow and rate/state friction model

Mark W. McClure, Roland N. Horne
Journal: Geophysics
Published: 06 January 2012
Geophysics (2011) 76 (6): WC181–WC198.
DOI: https://doi.org/10.1190/geo2011-0064.1
... into fractured, low permeability rock, triggering slip on preexisting large scale fracture zones. A model was developed and used that couples (1) fluid flow, (2) rate and state friction, and (3) mechanical stress interaction between fracture elements. Based on the results of this model, we propose a mechanism...
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steadystate : A MATLAB-based routine for determining steady-state friction conditions in the framework of rate-and-state friction analysis

P. Giacomel, D.R. Faulkner, V. Lambert, M.J. Allen
Journal: Geosphere
Published: 26 April 2024
Geosphere (2024) 20 (3): 965–980.
DOI: https://doi.org/10.1130/GES02739.1
...P. Giacomel; D.R. Faulkner; V. Lambert; M.J. Allen Abstract Reliable determination of rate- and-state friction (RSF) parameters depends on achieving steady-state (SS) friction conditions before and after experimental velocity-stepping friction tests. This operation, through nonlinear least squares...
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A Dynamic Study of Two One-State-Variable, Rate-Dependent, and State-Dependent Friction Laws

Jeen-Hwa Wang
Published: 01 March 2002
Bulletin of the Seismological Society of America (2002) 92 (2): 687–694.
DOI: https://doi.org/10.1785/0119980154
...Jeen-Hwa Wang Abstract I compare two one-state-variable, rate-dependent, and state-dependent friction laws, that is, the slip law and slowness law, through the analyses of stability conditions based on a dynamic one-degree-of-freedom spring-slider model, subjected to such two kinds of friction...
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Journal Article

Maximum Magnitude of Induced Earthquakes in Rate and State Friction Framework

Kyungjae Im, Jean‐Philippe Avouac
Published: 18 December 2024
Seismological Research Letters (2024)
DOI: https://doi.org/10.1785/0220240382
...Kyungjae Im; Jean‐Philippe Avouac Abstract We analyze the evolution of the rupture radius and maximum magnitude ( M max ) of injection‐induced earthquakes on faults obeying rates and state friction. We define the radii of two different slip modes, aseismic ( R a ) and seismic slip ( R s...
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Journal Article

3-D Simulation of the Occurrence of Slow Slip Events in the Tokai Region with a Rate- and State-Dependent Friction Law

Hidekuni Kuroki, Hidemi M. Ito, Hiroyuki Takayama, Akio Yoshida
Published: 01 December 2004
Bulletin of the Seismological Society of America (2004) 94 (6): 2037–2050.
DOI: https://doi.org/10.1785/0120030198
... of the slow slip was revealed by the gps data of the Geographical Survey Institute. The aim of this article is to reproduce the slow slip event in a simulation of plate subduction with a rate- and state-dependent friction law in which 3D configuration of plate interface is taken into consideration...
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Journal Article

Numerical Simulation of Seismic Cycles with a Composite Rate- and State-Dependent Friction Law

Naoyuki Kato, Terry E. Tullis
Published: 01 April 2003
Bulletin of the Seismological Society of America (2003) 93 (2): 841–853.
DOI: https://doi.org/10.1785/0120020118
...Naoyuki Kato; Terry E. Tullis Abstract Properties of rate- and state-dependent friction laws are examined through numerical simulations. Among several versions of the rate- and state-dependent friction laws, we use the slowness law, the slip law, and the composite law. The last was recently...
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Double spring-slider model governed by <span class="search-highlight">rate</span>–<span class="search-highlight">state</span> <span class="search-highlight">friction</span>. The sliders are...

Double spring-slider model governed by rate–state friction. The sliders are...

Published: 01 September 2006
Figure A1. Double spring-slider model governed by rate–state friction. The sliders are pulled at a constant rate of 0.01 m/yr. Slider 1 exhibits periodic earthquakes with velocity-weakening conditions, A = 0.002, B = 0.004. Slider 2 is assigned velocity- strengthening conditions, A = 0.004
Journal Article

Frictional Properties on the San Andreas Fault near Parkfield, California, Inferred from Models of Afterslip following the 2004 Earthquake

Kaj M. Johnson, Roland Bürgmann, Kristine Larson
Published: 01 September 2006
Bulletin of the Seismological Society of America (2006) 96 (4B): S321–S338.
DOI: https://doi.org/10.1785/0120050808
...Figure A1. Double spring-slider model governed by rate–state friction. The sliders are pulled at a constant rate of 0.01 m/yr. Slider 1 exhibits periodic earthquakes with velocity-weakening conditions, A = 0.002, B = 0.004. Slider 2 is assigned velocity- strengthening conditions, A = 0.004...
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(A and B) Collection of <span class="search-highlight">rate</span>-and-<span class="search-highlight">state</span> <span class="search-highlight">friction</span> (RSF) parameter values obta...

(A and B) Collection of rate-and-state friction (RSF) parameter values obta...

Published: 26 April 2024
Figure 2. (A and B) Collection of rate-and-state friction (RSF) parameter values obtained after systematically removing the detrending slope S2 along the synthetic velocity step of Figure 1 at progressively larger displacements after the step change in slip velocity, using (A) a two-state
Journal Article

Constraining Parameter Uncertainties in the Coulomb Rate–State Approach: A Case Study of Seismicity in the Longmenshan Region after the 2008 M w 7.9 Wenchuan Earthquake, China

Yashan Feng, Neng Xiong, Bin Shan, Rongjiang Wang, Xiong Xiong
Published: 06 May 2024
Seismological Research Letters (2024) 95 (5): 2820–2832.
DOI: https://doi.org/10.1785/0220230414
...Yashan Feng; Neng Xiong; Bin Shan; Rongjiang Wang; Xiong Xiong Abstract The rate–state frictional law, coupled with the Coulomb failure stress changes ( Δ CFS ), is one of the most popular physics‐based models to forecast seismicity rate changes following a major earthquake. However, its...
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Includes: Supplemental Content
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Initial <span class="search-highlight">rate</span>‐and‐<span class="search-highlight">state</span> (RS) <span class="search-highlight">friction</span> settings versus depth: (a) normal stre...

Initial rate‐and‐state (RS) friction settings versus depth: (a) normal stre...

Published: 31 August 2021
Figure 2. Initial rate‐and‐state (RS) friction settings versus depth: (a) normal stress σ , (b)  a and b values, (c)  a‐b value. The depth range with a‐b < 0 is the seismogenic zone. Ruptures initiate only there but can propagate into the aseismic regions below and above (indicated
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Schematic illustration of <span class="search-highlight">rate</span> and <span class="search-highlight">state</span> <span class="search-highlight">friction</span> on background focal mecha...

Schematic illustration of rate and state friction on background focal mecha...

Published: 14 July 2020
Figure 9. Schematic illustration of rate and state friction on background focal mechanisms to calculate expected seismicity rate changes. During the background period, each focal mechanism is a proxy for a small‐to‐moderate fault (top panel). These earthquakes then receive coseismic stress from
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Same as Figure  2 but for the <span class="search-highlight">rate</span>‐and‐<span class="search-highlight">state</span> <span class="search-highlight">friction</span> TPV104 benchmark. (a...

Same as Figure  2 but for the rate‐and‐state friction TPV104 benchmark. (a...

Published: 17 June 2020
Figure 3. Same as Figure  2 but for the rate‐and‐state friction TPV104 benchmark. (a) Schematic diagram of the dimensions of the fault and positions of the velocity‐weakening and strengthening zones (rectangles) and the nucleation zone (circle), as adopted from the SCEC‐USGS webpage. (b) A plot
Journal Article

A Source Model for Earthquakes near the Nucleation Dimension

Camilla Cattania
Published: 17 February 2023
Bulletin of the Seismological Society of America (2023) 113 (3): 909–923.
DOI: https://doi.org/10.1785/0120220045
... duration, seismic moment, stress drop). I derive an equation of motion based on fracture mechanics for a circular rupture obeying rate–state friction and a simpler model with constant stress drop and fracture energy. The latter provides a good approximation to the rate–state model and leads to analytical...
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Why Aftershock Duration Matters for Probabilistic Seismic Hazard Assessment

Shinji Toda, Ross S. Stein
Published: 01 May 2018
Bulletin of the Seismological Society of America (2018) 108 (3A): 1414–1426.
DOI: https://doi.org/10.1785/0120170270
... America could be aftershocks of mainshocks that struck hundreds of years beforehand, a view consonant with rate–state friction ( Dieterich, 1994 ), in which aftershock duration varies inversely with fault‐stressing rate. To test these hypotheses, we estimate aftershock durations of the 2011 M w 9 Tohoku...
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Includes: Supplemental Content
Journal Article

The Absence of Remotely Triggered Seismicity in Japan

Rebecca M. Harrington, Emily E. Brodsky
Published: 01 June 2006
Bulletin of the Seismological Society of America (2006) 96 (3): 871–878.
DOI: https://doi.org/10.1785/0120050076
... triggering renders rate-state friction and stress corrosion to be improbable triggering mechanisms. Fracture unclogging as a triggering mechanism is consistent with the observations. 13 04 2005 Copyright © 2006 Bulletin of the Seismological Society of America 2006 To perform a systematic...
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RSFit3000: A MATLAB GUI-based program for determining rate and state frictional parameters from experimental data

Rob M. Skarbek, Heather M. Savage
Journal: Geosphere
Published: 10 September 2019
Geosphere (2019) 15 (5): 1665–1676.
DOI: https://doi.org/10.1130/GES02122.1
...Rob M. Skarbek; Heather M. Savage Abstract We present a MATLAB graphical user interface (GUI) software package for analyzing rate and state friction experiments. Called RSFit3000, the software allows users to easily determine frictional parameters by fitting velocity-step and slide-hold-slide...
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Schematic diagram showing <span class="search-highlight">frictional</span> response of a <span class="search-highlight">rate</span>-<span class="search-highlight">state</span> fault to an a...

Schematic diagram showing frictional response of a rate-state fault to an a...

Published: 01 November 2022
Figure 2. Schematic diagram showing frictional response of a rate-state fault to an abrupt increase in slip velocity, comparing velocity weakening (a − b < 0) with velocity strengthening (a − b > 0). Modified from An et al. (2018) .
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Examples of spatial distribution of fault strength along a fault surface, d...

Examples of spatial distribution of fault strength along a fault surface, d...

Published: 20 April 2023
‐dependent strength difference due to temperature (and hence depth) dependence of the [ a−b ] parameter in rate‐state friction (e.g., Blanpied et al. , 1991 ; Marone 1998 ; Zielke and Arrowsmith, 2008 ). This strength distribution provides upper and lower aseismic zones in which stable fault elements
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Example velocity step (from 10 to 30    μm / s ) from sample C0127...

Example velocity step (from 10 to 30    μm / s ) from sample C0127...

Published: 14 April 2021
Figure 3. Example velocity step (from 10 to 30    μm / s ) from sample C0127 and rate‐state friction fits obtained with RSFit3000. This is representative of all melting temperature ( ∼ 0.5 ° C ) ice–till measurements in which b is very small or negative. Black lines