Potential Energy as Metric for Understanding Stick–Slip Dynamics in Sheared Granular Fault Gouge: A Coupled CFD–DEM Study

We study the stick–slip behavior in a sheared granular fault gouge using a coupled discrete element method and computational fluid dynamics. We compare characteristics of slip events in dry and fluid-saturated granular fault gouge in drained conditions. The granular layer is confined under constant normal load and sheared with a velocity-controlled mechanism. Potential energy is stored through overlaps between particles. We show that the potential energy builds up during the stick phase and drops during slip instability. Our observations show that on average 8% of the drop in potential energy is converted into particle kinetic energy, while the rest dissipates. Our simulations show that drop in potential energy is a good measure of slip size showing a strong correlation with the drop in macroscopic friction coefficient. Our simulations show that in fluid-saturated granular fault gouge, the potential energy drop is higher leading to a higher drop in friction coefficient and in a higher kinetic energy of particles during slip event.

[1]  Paul A. Johnson,et al.  Do Fluids Modify the Stick-Slip Behavior of Sheared Granular Media? , 2017 .

[2]  D. F. Young,et al.  A Brief Introduction to Fluid Mechanics , 1996 .

[3]  P. Fulton,et al.  Experimental constraints on energy partitioning during stick–slip and stable sliding within analog fault gouge , 2011 .

[4]  R. Archer,et al.  Energetics of normal earthquakes on dip-slip faults , 2012 .

[5]  D. Elsworth,et al.  Shear-induced dilatancy of fluid-saturated faults: Experiment and theory , 2009 .

[6]  A. Kopf,et al.  Slip weakening as a mechanism for slow earthquakes , 2013 .

[7]  Hrvoje Jasak,et al.  A tensorial approach to computational continuum mechanics using object-oriented techniques , 1998 .

[8]  G. Kocharyan,et al.  A study of different fault slip modes governed by the gouge material composition in laboratory experiments , 2017 .

[9]  C. Collettini,et al.  The role of fluid pressure in induced vs. triggered seismicity: insights from rock deformation experiments on carbonates , 2016, Scientific Reports.

[10]  H. Kanamori,et al.  Energy Partitioning During an Earthquake , 2006 .

[11]  Chris Marone,et al.  Frictional behavior and constitutive modeling of simulated fault gouge , 1990 .

[12]  E. Aharonov,et al.  Pore pressure evolution in deforming granular material: A general formulation and the infinitely stiff approximation , 2010 .

[13]  C. Marone,et al.  Permeability and frictional properties of halite-clay-quartz faults in marine-sediment: The role of compaction and shear , 2016 .

[14]  C. Marone LABORATORY-DERIVED FRICTION LAWS AND THEIR APPLICATION TO SEISMIC FAULTING , 1998 .

[15]  J. Anthony,et al.  Influence of particle characteristics on granular friction , 2005 .

[16]  Chris Marone,et al.  The effect of loading rate on static friction and the rate of fault healing during the earthquake cycle , 1998, Nature.

[17]  Robert Spatschek,et al.  Velocity-strengthening friction significantly affects interfacial dynamics, strength and dissipation , 2014, Scientific Reports.

[18]  P. Johnson,et al.  Effects of acoustic waves on stick–slip in granular media and implications for earthquakes , 2008, Nature.

[19]  Jan Carmeliet,et al.  On the micromechanics of slip events in sheared, fluid‐saturated fault gouge , 2017 .

[20]  Karen Mair,et al.  Influence of grain characteristics on the friction of granular shear zones , 2002 .

[21]  T. Mitchell,et al.  Fault lubrication and earthquake propagation in thermally unstable rocks , 2009 .

[22]  S. Nasuno,et al.  TIME-RESOLVED STUDIES OF STICK-SLIP FRICTION IN SHEARED GRANULAR LAYERS , 1998 .

[23]  A. McGarr,et al.  Relating stick‐slip friction experiments to earthquake source parameters , 2012 .

[24]  M. Cooke,et al.  Assessing the work budget and efficiency of fault systems using mechanical models , 2004 .

[25]  D. Elsworth,et al.  Frictional strength and strain weakening in simulated fault gouge: Competition between geometrical weakening and chemical strengthening , 2010 .

[26]  O. K. Mahabadi,et al.  An Example of Realistic Modelling of Rock Dynamics Problems: FEM/DEM Simulation of Dynamic Brazilian Test on Barre Granite , 2010 .

[27]  Richard H. Sibson,et al.  Structural permeability of fluid-driven fault-fracture meshes , 1996 .

[28]  Hertz On the Contact of Elastic Solids , 1882 .

[29]  Reghan J. Hill,et al.  INERTIAL EFFECTS IN SUSPENSION AND POROUS-MEDIA FLOWS , 2001 .

[30]  Francis T. Wu,et al.  Source Parameters for Stick-Slip and for Earthquakes , 1973, Science.

[31]  W. Brace,et al.  Stick-Slip as a Mechanism for Earthquakes , 1966, Science.

[32]  Jan Carmeliet,et al.  Cohesion‐Induced Stabilization in Stick‐Slip Dynamics of Weakly Wet, Sheared Granular Fault Gouge , 2018 .

[33]  A. Elbanna,et al.  A two‐scale model for sheared fault gouge: Competition between macroscopic disorder and local viscoplasticity , 2014, 1402.1127.

[34]  P. Johnson,et al.  Nonlinear dynamical triggering of slow slip on simulated earthquake faults with implications to Earth , 2012 .

[35]  A. Stukowski Visualization and analysis of atomistic simulation data with OVITO–the Open Visualization Tool , 2009 .

[36]  A. Yu,et al.  Discrete particle simulation of particle–fluid flow: model formulations and their applicability , 2010, Journal of Fluid Mechanics.

[37]  M. Cooke,et al.  Energy budget and propagation of faults via shearing and opening using work optimization , 2017 .

[38]  P. Johnson,et al.  Poromechanics of stick‐slip frictional sliding and strength recovery on tectonic faults , 2015 .

[39]  W. Griffith,et al.  The work budget of rough faults , 2012 .

[40]  M. Cooke,et al.  Underthrusting‐accretion cycle: Work budget as revealed by the boundary element method , 2007 .

[41]  F. Maio,et al.  Comparison of contact-force models for the simulation of collisions in DEM-based granular flow codes , 2004 .

[42]  P. Okubo,et al.  Measurements of frictional heating in granite , 1983 .

[43]  M. Zoback,et al.  How faulting keeps the crust strong , 2000 .

[44]  G. Midi,et al.  On dense granular flows , 2003, The European physical journal. E, Soft matter.

[45]  Paul A. Johnson,et al.  Nonlinear dynamics, granular media and dynamic earthquake triggering , 2004, Nature.

[46]  E. Daub,et al.  Influence of vibration amplitude on dynamic triggering of slip in sheared granular layers. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[47]  P. Johnson,et al.  On the role of fluids in stick‐slip dynamics of saturated granular fault gouge using a coupled computational fluid dynamics‐discrete element approach , 2017 .

[48]  H. Hertz Ueber die Berührung fester elastischer Körper. , 1882 .

[49]  A. McGarr,et al.  On relating apparent stress to the stress causing earthquake fault slip , 1999 .

[50]  G. Hirth,et al.  Role of pore fluid pressure on transient strength changes and fabric development during serpentine dehydration at mantle conditions: Implications for subduction-zone seismicity , 2015 .

[51]  D. Koch,et al.  Particle pressure and marginal stability limits for a homogeneous monodisperse gas-fluidized bed: kinetic theory and numerical simulations , 1999, Journal of Fluid Mechanics.

[52]  K. Mair,et al.  Nature of stress accommodation in sheared granular material: Insights from 3D numerical modeling , 2007 .

[53]  T. Zhao,et al.  Rockslide and Impulse Wave Modelling in the Vajont Reservoir by DEM-CFD Analyses , 2016, Rock Mechanics and Rock Engineering.

[54]  S. Barba,et al.  Fault on-off versus strain rate and earthquakes energy , 2015 .

[55]  Peter Molnar,et al.  DETAILED STUDIES OF FRICTIONAL SLIDING OF GRANITE AND IMPLICATIONS FOR THE EARTHQUAKE MECHANISM , 1972 .

[56]  Ng Niels Deen,et al.  Influence of rolling friction on single spout fluidized bed simulation , 2012 .

[57]  Michele Griffa,et al.  Three-dimensional discrete element modeling of triggered slip in sheared granular media. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[58]  J. T. Engelder,et al.  Cataclasis and the Generation of Fault Gouge , 1974 .

[59]  J. Roux,et al.  Internal states of model isotropic granular packings. I. Assembling process, geometry, and contact networks. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[60]  T. Mitchell,et al.  Towards quantifying the matrix permeability of fault damage zones in low porosity rocks , 2012 .

[61]  B. Ferdowsi Discrete element modeling of triggered slip in faults with granular gouge: application to dynamic earthquake triggering , 2014 .

[62]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[63]  C. Kloss,et al.  Models, algorithms and validation for opensource DEM and CFD-DEM , 2012 .

[64]  Karen Mair,et al.  Effects of gouge fragment shape on fault friction: New 3D modelling results , 2009 .

[65]  A. Lachenbruch,et al.  Corrections to ‘Heat flow and energetics of the San Andreas Fault Zone’ and some additional comments on the relation between fault friction and observed heat flow , 1981 .

[66]  Colin Thornton,et al.  Numerical studies of uniaxial powder compaction process by 3D DEM , 2004 .

[67]  N. Sleep Application of a unified rate and state friction theory to the mechanics of fault zones with strain localization , 1997 .

[68]  M. Cooke,et al.  Is the Earth Lazy? A review of work minimization in fault evolution , 2014 .

[69]  E. Aharonov,et al.  Stick-slip motion in simulated granular layers , 2004 .