2016
DOI: 10.1002/2016gl067881
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An empirically based steady state friction law and implications for fault stability

Abstract: Empirically based rate‐and‐state friction laws (RSFLs) have been proposed to model the dependence of friction forces with slip and time. The relevance of the RSFL for earthquake mechanics is that few constitutive parameters define critical conditions for fault stability (i.e., critical stiffness and frictional fault behavior). However, the RSFLs were determined from experiments conducted at subseismic slip rates ( V < 1 cm/s), and their extrapolation to earthquake deformation conditions … Show more

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Cited by 40 publications
(36 citation statements)
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References 62 publications
(95 reference statements)
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“…Frictional weakening with increasing slip velocity is observed in fast sliding experiments of rocks (Di Toro et al, ; Spagnuolo et al, ; Wang et al, ; Yao et al, ) and invoked to explain key features of earthquake and landslide (Di Toro et al, ; Lucas et al, ). Our results show that the apparent friction coefficient drops from 0.56 to 0.34 as velocity increases to 19.7 m/s during the first accelerating cycle, and then remains at 0.3~0.34 with velocity continuously increasing during the second accelerating cycle (Figure e).…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…Frictional weakening with increasing slip velocity is observed in fast sliding experiments of rocks (Di Toro et al, ; Spagnuolo et al, ; Wang et al, ; Yao et al, ) and invoked to explain key features of earthquake and landslide (Di Toro et al, ; Lucas et al, ). Our results show that the apparent friction coefficient drops from 0.56 to 0.34 as velocity increases to 19.7 m/s during the first accelerating cycle, and then remains at 0.3~0.34 with velocity continuously increasing during the second accelerating cycle (Figure e).…”
Section: Discussionmentioning
confidence: 99%
“…The apparent friction coefficient is considered as the effects of both true friction coefficient ( μ ′ ) and basal fluid pressure ( P ; Iverson, ): μσn=μ()σnP where σ n is the normal stress at the base of the sliding mass. Based on this hypothesis, considering true friction coefficients of different rock categories are greater than 0.6 (e.g., Byerlee, ; Di Toro et al, ; Spagnuolo et al, ), this low apparent friction coefficient suggests that basal fluid pressures were at least 43% of basal normal stress. During two months before the Xinmo landslide occurred, the antecedent rainfall in Diexi town reaches 200 mm, which is 42% more than the same periods in previous years (Fan, Xu, et al, ; Wang et al, ).…”
Section: Discussionmentioning
confidence: 99%
“…In the last 20 years, the advent of the so called high-speed rotary shear machines, allowed us to reproduce deformation conditions that approach those achieved at the rupture front during seismic slip [4]. From these experiments it became clear that more or less independently of the lithology, fault rocks undergo profound weakening when a critical slip rate V w of 0.01-0.1 m/s is exceeded [2,5,6].…”
Section: Introductionmentioning
confidence: 99%
“…To illustrate the effect of the velocity dependence in (3.16) on fault stability, we can compute the corresponding critical frictional stiffness (again assuming that we are close to the steady state and that inertia is negligible). Taking the indicative value p = 1 in (3.16), we obtain where we retrieve k c as of (3.15) in the limit V V c , but here the critical stiffness varies and peaks substantially in the vicinity of V = V c , as argued in [72]. This indicates that fault instability is enhanced if the experimentally observed velocity weakening is allowed to kick in.…”
Section: Challenging Observations (A) Dissipation: Is It Only Friction?mentioning
confidence: 75%
“…The experimental foundation for such an empirical formulation was subsequently demonstrated by Spagnuolo et al [72] based on high velocity, rotary shear experiments on slica-built and carbonate-built cohesive rocks. Such formulation can be synthetized as follows:…”
Section: Challenging Observations (A) Dissipation: Is It Only Friction?mentioning
confidence: 99%