2010
DOI: 10.1029/2009jb007020
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On the transient behavior of frictional melt during seismic slip

Abstract: [1] In a recent work on the problem of sliding surfaces under the presence of frictional melt (applying in particular to earthquake fault dynamics), we derived from first principles an expression for the steady state friction compatible with experimental observations. Building on the expressions of heat and mass balance obtained in the above study for this particular case of Stefan problem (phase transition with a migrating boundary), we propose here an extension providing a full time-dependent solution (inclu… Show more

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Cited by 60 publications
(85 citation statements)
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“…The thickness of the layer w where temperature rises may be between 0.1 and 10 cm based on field observations [John et al, 2009]. Thick black lines show the expected temperature of fusion for dry peridotite and H 2 O-bearing peridotite [Nielsen et al, 2010;Till et al, 2012] assuming host rock temperature of 600°C. Based on our results, for a 3 cm thick layer, frictional melting may readily occur for M5+ earthquakes with slips of 75 cm and 35 cm for dry and wet peridotite, respectively.…”
Section: Discussionmentioning
confidence: 99%
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“…The thickness of the layer w where temperature rises may be between 0.1 and 10 cm based on field observations [John et al, 2009]. Thick black lines show the expected temperature of fusion for dry peridotite and H 2 O-bearing peridotite [Nielsen et al, 2010;Till et al, 2012] assuming host rock temperature of 600°C. Based on our results, for a 3 cm thick layer, frictional melting may readily occur for M5+ earthquakes with slips of 75 cm and 35 cm for dry and wet peridotite, respectively.…”
Section: Discussionmentioning
confidence: 99%
“…where Q represents energy that is converted to heat, A is the rupture area, m the mass of peridotite to be melted, ρ the density, w the fault thickness, and C the heat capacity that we assume is 1 J/g°C [Andersen and Austrheim, 2006;Nielsen et al, 2010]. Note that in equations (3a) and (3b) only the fracture energy G is used to estimate the temperature rise (frictional heat is calculated by assuming E H = 0).…”
Section: Energy Budget and Temperature Rise For Intermediate-depth Eamentioning
confidence: 99%
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“…Such knowledge has been established only recently, because the technical implementation of high-velocity, seismic-like conditions in laboratory experiments was achieved no earlier than the 1980s with the pioneering work of Shimamoto & Tsutsumi [55] and became widespread in the last decade (see [8,33,[56][57][58][59][60][61][62][63][64][65][66][67][68][69][70][71][72] among others). It is notable that such high-velocity weakening has been documented even on rocks which show rate-strengthening in traditional, slow frictional tests.…”
Section: Challenging Observations (A) Dissipation: Is It Only Friction?mentioning
confidence: 99%
“…For sufficiently large combinations of slip speeds and effective normal stress, thermal power generated during solid-on-solid slip overwhelms the ability of thermal conduction to carry the frictional heat away from the slip interface and macroscopic melting may occur (Di Toro et al, 2006Hirose and Shimamoto, 2005;Liou et al, 2004;Nielsen et al, 2010;Niemeijer et al, 2011;Okada et al, 2001;Okada et al, 2002;Spray, 2005;Tsutsumi and Shimamoto, 1997). Since molten layers have a low viscosity, they may lead to hydrodynamic lubrication of faults reducing dynamic friction.…”
Section: Introductionmentioning
confidence: 99%