Fault friction under thermal pressurization during large seismic-slip: Numerical analyses and extension of the model of frictional slip

Rattez, 2018, The importance of thermo-hydro-mechanical couplings and microstructure to strain localization in 3D continua with application to seismic faults. Part I: Theory and linear stability analysis, J Mech Phys Solids, 115, 54, 10.1016/j.jmps.2018.03.004 Rattez, 2018, The importance of thermo-hydro-mechanical couplings and microstructure to strain localization in 3D continua with application to seismic faults. Part II: Numerical implementation and post-bifurcation analysis, J Mech Phys Solids Myers, 2004, The evolution of faults formed by shearing across joint zones in sandstone, J Struct Geol, 26, 947, 10.1016/j.jsg.2003.07.008 Sibson, 2003, Thickness of the seismic slip zone, Bull Seismol Soc Am, 93, 1169, 10.1785/0120020061 Lachenbruch, 1980, Frictional heating, fluid pressure, and the resistance to fault motion, J Geophys Res: Solid Earth, 85, 6097, 10.1029/JB085iB11p06097 Rice, 2006, Heating and weakening of faults during earthquake slip, J Geophys Res: Solid Earth, 111, 1 Mase, 1987, Effects of frictional heating on the thermal, hydrologic, and mechanical response of a fault, J Geophys Res, 92, 6249, 10.1029/JB092iB07p06249 Rice, 2014, Stability and localization of rapid shear in fluid-saturated fault gouge: 1. Linearized stability analysis, J Geophys Res: Solid Earth, 119, 4311, 10.1002/2013JB010710 Platt, 2014, Stability and localization of rapid shear in fluid-saturated fault gouge: 2. Localized zone width and strength evolution, J Geophys Res: Solid Earth, 119, 4334, 10.1002/2013JB010711 Rice, 2014, Stability and localization of rapid shear in fluid-saturated fault gouge: 1. Linearized stability analysis, J Geophys Res: Solid Earth, 119, 4311, 10.1002/2013JB010710 Platt, 2014, Stability and localization of rapid shear in fluid-saturated fault gouge: 2. Localized zone width and strength evolution, J Geophys Res: Solid Earth, 119, 4334, 10.1002/2013JB010711 Lee, 1987, Frictional heating and pore pressure rise due to a fault slip, Geophys J R Astron Soc, 88, 569, 10.1111/j.1365-246X.1987.tb01647.x Mase, 1984, Pore-fluid pressures and frictional heating on a fault surface, Pure Appl Geophys PAGEOPH, 122, 583 Brantut, 2008, High-velocity frictional properties of a clay-bearing fault gouge and implications for earthquake mechanics, J Geophys Res: Solid Earth, 113, 1 Muhlhaus, 1988, The thickness of shear hands in granular materials, Géotechnique, 38, 331, 10.1680/geot.1988.38.2.331b Sibson, 1977, Fault rocks and fault mechanisms, J Geol Soc, 133, 191, 10.1144/gsjgs.133.3.0191 Aydin, 2000, Fractures, faults, and hydrocarbon entrapment, migration and flow, Mar Pet Geol, 17, 797, 10.1016/S0264-8172(00)00020-9 Passelègue, 2014, The influence of ambient fault temperature on flash-heating phenomena, Geophys Res Lett, 41, 828, 10.1002/2013GL058374 Yao, 2016, The crucial role of temperature in high-velocity weakening of faults: Experiments on gouge using host blocks with different thermal conductivities, Geology, 44, 63, 10.1130/G37310.1 Nicchio, 2018, Development of cataclastic foliation in deformation bands in feldspar-rich conglomerates of the Rio do Peixe basin, NE Brazil, J Struct Geol, 107, 132, 10.1016/j.jsg.2017.12.013 Kanamori, 2004, The physics of earthquakes, Rep Progr Phys, 67, 1429, 10.1088/0034-4885/67/8/R03 Lawson, 1906, The mechanics of the earthquake, California Earthq April, 18, 451 Forest, 2001, Asymptotic analysis of heterogeneous Cosserat media, Int J Solids Struct, 38, 4585, 10.1016/S0020-7683(00)00295-X Germain, 1973, The method of virtual power in continuum mechanics. Part 2: Microstructure, SIAM J Appl Math, 25, 556, 10.1137/0125053 Vardoulakis, 2018 Sulem, 2011, Stability analysis of undrained adiabatic shearing of a rock layer with cosserat microstructure, Granul Matter, 13, 261, 10.1007/s10035-010-0244-1 Rice, 1975, On the stability of dilatant hardening for saturated rock masses, J Geophys Res, 80, 1531, 10.1029/JB080i011p01531 Lyapunov, 1893, On the problem of stability of motion, Stab Motion, 30, 123 Brauer, 1969 Strogatz, 2000 Benallal, 2006, Dynamic strain aging and related instabilities: Experimental, theoretical and numerical aspects, Eur J Mech A Solids, 25, 397, 10.1016/j.euromechsol.2005.10.007 Hähner, 2002, Spatiotemporal analysis of Portevin-Le Châtelier deformation bands: Theory, simulation, and experiment, Phys Rev B - Condens Matter Mater Phys, 65, 1, 10.1103/PhysRevB.65.134109 Mazière, 2010, Numerical aspects in the finite element simulation of the Portevin-Le Chatelier effect, Comput Methods Appl Mech Engrg, 10.1016/j.cma.2009.11.004 Dieterich, 1992, Earthquake nucleation on faults with rate-and state-dependent strength, Tectonophysics, 211, 115, 10.1016/0040-1951(92)90055-B Rice, 2001, Rate and state dependent friction and the stability of sliding between elastically deformable solids, J Mech Phys Solids, 49, 1865, 10.1016/S0022-5096(01)00042-4 Ruina, 1983, Slip instability and state variable friction laws, J Geophys Res, 88, 10359, 10.1029/JB088iB12p10359 Badt, 2020, Thermal pressurization weakening in laboratory experiments, J Geophys Res: Solid Earth, 125, 1, 10.1029/2019JB018872 Evans, 1981, Iterative solution of Volterra integral equations using Clenshaw-Curtis quadrature, J Comput Phys, 40, 64, 10.1016/0021-9991(81)90199-6 Elnagar, 1996, Chebyshev spectral solution of nonlinear Volterra-Hammerstein integral equations, J Comput Appl Math, 76, 147, 10.1016/S0377-0427(96)00098-2 Tang, 2008, On spectral methods for Volterra integral equations and the convergence analysis, J Comput Math, 825 Aki, 1967, Scaling law of seismic spectrum, J Geophys Res, 72, 1217, 10.1029/JZ072i004p01217 Brune, 1970, Tectonic stress and the spectra of seismic shear waves from earthquakes, J Geophys Res, 75, 4997, 10.1029/JB075i026p04997 Haskell, 1964, Energy wave and energy from by density of elastic radiation propagating faults, Bull Seismol Soc Am, 54, 1811, 10.1785/BSSA05406A1811 Tsai, 2020, Elastic impact consequences for high-frequency earthquake ground motion, Geophys Res Lett, 47, 1, 10.1029/2019GL086302 Rice, 1973, The growth of slip surfaces in the progressive failure of over-consolidated clay, Proc R Soc Lond Ser A Math Phys Eng Sci, 332, 527 Viesca, 2015, Ubiquitous weakening of faults due to thermal pressurization, Nat Geosci, 8, 875, 10.1038/ngeo2554 Stefanou, 2019, Controlling anthropogenic and natural seismicity: Insights from active stabilization of the spring-slider model, J Geophys Res: Solid Earth, 124, 8786, 10.1029/2019JB017847 Stefanou, 2020 Tzortzopoulos, 2021 Vardoulakis, 1996, Deformation of water-saturated sand: I. Uniform undrained deformation and shear banding, Géotechnique, 46, 441, 10.1680/geot.1996.46.3.441 Wang, 1997, Viscoplasticity for instabilities due to strain softening and strain-rate softening, Internat J Numer Methods Engrg, 40, 3839, 10.1002/(SICI)1097-0207(19971030)40:20<3839::AID-NME245>3.0.CO;2-6 Needleman, 1988, Material rate dependence and mesh sensitivity in localization problems, Comput Methods Appl Mech Engrg, 67, 69, 10.1016/0045-7825(88)90069-2 Stathas, 2022, The role of viscous regularization in dynamical problems, strain localization and mesh dependency, Comput Methods Appl Mech Engrg, 388, 10.1016/j.cma.2021.114185 de Borst, 1991, Localisation in a Cosserat continuum under static and dynamic loading conditions, Comput Methods Appl Mech Eng, 90, 805, 10.1016/0045-7825(91)90185-9 Forest, 2001, Strain localization patterns at a crack tip in generalized single crystal plasticity, Scr Mater, 44, 953, 10.1016/S1359-6462(00)00684-9 Forest, 2003, Elastoviscoplastic constitutive frameworks for generalized continua, Acta Mech, 160, 71, 10.1007/s00707-002-0975-0 Coussy, 2004 Puzrin, 2001, On the thermodynamics of porous continua, Rep No OUEL, 2235 Stefanou, 2016 Vardoulakis, 1986, Dynamic stability analysis of undrained simple shear on water-saturated granular soils, Int J Numer Anal Methods Geomech, 10, 177, 10.1002/nag.1610100206 Rice, 2006, Heating and weakening of faults during earthquake slip, J Geophys Res: Solid Earth, 111 Kanamori, 2004, The physics of earthquakes, Rep Progr Phys, 67, 1429, 10.1088/0034-4885/67/8/R03 Benallal, 2008, An experimental and numerical investigation of the behaviour of AA5083 aluminium alloy in presence of the Portevin–Le Chatelier effect, Int J Plast, 24, 1916, 10.1016/j.ijplas.2008.03.008 Di Toro, 2011, Fault lubrication during earthquakes, Nature, 471, 494, 10.1038/nature09838 Zhou, 2018, Experimental study of stick-slip failure processes and effect of physical properties on stick-slip behavior, J Geophys Res: Solid Earth, 123, 653, 10.1002/2017JB014515 Zhou, 2021, Experimental investigation of the effects of loading rate, contact roughness, and normal stress on the stick-slip behavior of faults, Tectonophysics, 816, 10.1016/j.tecto.2021.229027 Godio, 2016, Multisurface plasticity for Cosserat materials: Plate element implementation and validation, Internat J Numer Methods Engrg, 108, 456, 10.1002/nme.5219 Stathas A, Stefanou I. Elastoplastic response of a cosserat continuum layer for application in fault mechanics. In: 12th HSTAM international congress on mechanics Thessaloniki, Greece, 22 – 25 September 2019. 2019. Rempel, 2006, Thermal pressurization and onset of melting in fault zones, J Geophys Res: Solid Earth, 111 Ingebritsen, 2019, Earthquake hydrogeology, Water Resour Res, 55, 5212, 10.1029/2019WR025341 Rattez, 2018, Numerical analysis of strain localization in rocks with thermo-hydro-mechanical couplings using Cosserat continuum, Rock Mech Rock Eng, 51, 3295, 10.1007/s00603-018-1529-7 Zhou, 2022, Thermo-hydro-chemo-mechanical coupling peridynamic model of fractured rock mass and its application in geothermal extraction, Comput Geotech, 148, 10.1016/j.compgeo.2022.104837 Abdallah, 2020, Compaction banding in high-porosity carbonate rocks: 2. A gradient-dependent plasticity model, J Geophys Res: Solid Earth, 125, 10.1029/2020JB020610 Sulem, 2016, Thermal and chemical effects in shear and compaction bands, Geomech Energy Environ, 6, 4, 10.1016/j.gete.2015.12.004 Donea, 2004, Chapter 14: Arbitrary Lagrangian–Eulerian methods, 1 Forest, 2020, Continuum thermomechanics of nonlinear micromorphic, strain and stress gradient media, Phil Trans R Soc A, 378, 10.1098/rsta.2019.0169 Lin, 2013, Structural analysis of coseismic normal fault zones of the 2011 Mw 6.6 Fukushima earthquake, northeast Japan, Bull Seismol Soc Am, 103, 1603, 10.1785/0120120111 Tanaka, 2007, Thermal properties across the Chelungpu fault zone and evaluations of positive thermal anomaly on the slip zones: Are these residuals of heat from faulting?, Geophys Res Lett, 34, 10.1029/2006GL028153 Collins-Craft, 2020, A Cosserat breakage mechanics model for brittle granular media, J Mech Phys Solids, 10.1016/j.jmps.2020.103975 Sulem, 2009, Thermal decomposition of carbonates in fault zones: Slip-weakening and temperature-limiting effects, J Geophys Res: Solid Earth, 114, 1 Veveakis, 2014, Thermo-poro-mechanics of chemically active creeping faults: 2. Transient considerations, J Geophys Res: Solid Earth, 119, 4583, 10.1002/2013JB010071 Alevizos, 2014, Thermo-poro-mechanics of chemically active creeping faults. 1: Theory and steady state considerations, J Geophys Res: Solid Earth, 119, 4558, 10.1002/2013JB010070 Ruina, 1983, Slip instability and state variable friction laws, J Geophys Res: Solid Earth, 88, 10359, 10.1029/JB088iB12p10359 Coleman, 1967, Thermodynamics with internal state variables, J Chem Phys, 47, 597, 10.1063/1.1711937 Scholz, 2019 van den Ende, 2018, A comparison between rate-and-state friction and microphysical models, based on numerical simulations of fault slip, Tectonophysics, 733, 273, 10.1016/j.tecto.2017.11.040 Rempe, 2020, Influence of effective stress and pore fluid pressure on fault strength and slip localization in carbonate slip zones, J Geophys Res: Solid Earth, 125, 10.1029/2020JB019805 Wazwaz, 2011 Cole, 2010 Churchill, 1972 Brown, 2009 Mavaleix-Marchessoux, 2020, A fast BEM procedure using the Z-transform and high-frequency approximations for large-scale 3D transient wave problems, Internat J Numer Methods Engrg, 10.1002/nme.6488 Trefethen, 2019 Quarteroni, 2007, 655 Carslaw, 1959 Andrews, 2005, Rupture dynamics with energy loss outside the slip zone, J Geophys Res: Solid Earth, 110, 1 Harbord, 2021 Sulem, 2004, Experimental characterization of the thermo-poro-mechanical properties of the Aegion fault gouge, C R Geosci, 336, 455, 10.1016/j.crte.2003.12.009 Kanamori, 2006, Energy partitioning during an earthquake, vol. 170, 3 Griffani, 2013, How rotational vortices enhance transfers, Phys Fluids, 25, 10.1063/1.4817671 Miller, 2013, Eddy viscosity in dense granular flows, Phys Rev Lett, 111, 10.1103/PhysRevLett.111.058002 Rognon, 2015, A circulation-based method for detecting vortices in granular materials, Granul Matter, 17, 177, 10.1007/s10035-015-0549-1 Stathas, 2022 Benallal, 2003, Perturbation growth and localization in fluid-saturated inelastic porous media under quasi-static loadings, J Mech Phys Solids, 51, 851, 10.1016/S0022-5096(02)00143-6 Benallal, 2005, On localization modes in coupled thermo-hydro-mechanical problems, C R Méc, 333, 557, 10.1016/j.crme.2005.05.005 Lemaitre, 2020