Off-Fault Plasticity and Earthquake Rupture Dynamics: 2. Effects of Fluid Saturation

[1] We present an analysis of inelastic off-fault response in fluid-saturated material during earthquake shear rupture. The analysis is conducted for 2-D plane strain deformation using an explicit dynamic finite element formulation. Along the fault, linear slip-weakening behavior is specified, and the off-fault material is described using an elastic-plastic description of the Drucker-Prager form, which characterizes the brittle behavior of rocks under compressive stress when the primary mode of inelastic deformation is frictional sliding of fissure surfaces, microcracking and granular flow. In this part (part 1), pore pressure changes were neglected in materials bordering the fault. In part 2, we more fully address the effects of fluid saturation. During the rapid stressing by a propagating rupture, the associated undrained response of the surrounding fluid-saturated material may be either strengthened or weakened against inelastic deformation. We consider poroelastoplastic materials with and without plastic dilation. During nondilatant undrained response near a propagating rupture, large increases in pore pressure on the compressional side of the fault decrease the effective normal stress and weaken the material, and decreases in pore pressure on the extensional side strengthen the material. Positive plastic dilatancy reduces pore pressure, universally strengthening the material. Dilatantly strengthened undrained deformation has a diffusive instability on a long enough timescale when the underlying drained deformation is unstable. Neglecting this instability on the short timescale of plastic straining, we show that undrained deformation is notably more resistant to shear localization than predicted by neglect of pore pressure changes.

[1]  Hiroyuki Noda,et al.  Thermal Pressurization and Slip-Weakening Distance of a Fault: An Example of the Hanaore Fault, Southwest Japan , 2005 .

[2]  J. Rice,et al.  Earthquake precursory effects due to pore fluid stabilization of a weakening fault zone , 1979 .

[3]  Nonlinear thermoporoelastic effects on dynamic earthquake rupture , 2006 .

[4]  M. Biot General Theory of Three‐Dimensional Consolidation , 1941 .

[5]  Nobuki Kame,et al.  Effects of prestress state and rupture velocity on dynamic fault branching , 2002 .

[6]  D. Andrews A fault constitutive relation accounting for thermal pressurization of pore fluid , 2002 .

[7]  J. Rudnicki Effects of dilatant hardening on the development of concentrated shear deformation in fissured rock masses , 1984 .

[8]  J. Rice Heating and weakening of faults during earthquake slip , 2006 .

[9]  J. Rice,et al.  Thermal pressurization and onset of melting in fault zones , 2006 .

[10]  L. Smith,et al.  Effects of frictional heating on the thermal, hydrologic, and mechanical response of a fault , 1987 .

[11]  Julien Réthoré,et al.  A Numerical Approach for Arbitrary Cracks in a Fluid-Saturated Medium , 2006 .

[12]  J. Rice Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity , 1971 .

[13]  Yoshiaki Ida,et al.  Cohesive force across the tip of a longitudinal‐shear crack and Griffith's specific surface energy , 1972 .

[14]  J. Rice,et al.  CONDITIONS FOR THE LOCALIZATION OF DEFORMATION IN PRESSURE-SENSITIVE DILATANT MATERIALS , 1975 .

[15]  T. Heaton Evidence for and implications of self-healing pulses of slip in earthquake rupture , 1990 .

[16]  John W. Rudnicki,et al.  A Class of Elastic‐Plastic Constitutive Laws for Brittle Rock , 1984 .

[17]  C. Comi,et al.  Perturbation growth and localization in fluid-saturated inelastic porous media under quasi-static loadings , 2003 .

[18]  J. Rudnicki Diffusive Instabilities in Dilating and Compacting Geomaterials , 2000 .

[19]  D. Andrews Rupture dynamics with energy loss outside the slip zone , 2003 .

[20]  Richard H. Sibson,et al.  Interactions between Temperature and Pore-Fluid Pressure during Earthquake Faulting and a Mechanism for Partial or Total Stress Relief , 1973 .

[21]  Eric M. Dunham,et al.  Earthquake slip between dissimilar poroelastic materials , 2008 .

[22]  James R. Rice,et al.  Dynamic shear rupture interactions with fault bends and off-axis secondary faulting , 2002 .

[23]  René de Borst,et al.  A discrete model for the dynamic propagation of shear bands in a fluid‐saturated medium , 2007 .

[24]  James R. Rice,et al.  Off-Fault Secondary Failure Induced by a Dynamic Slip Pulse , 2005 .

[25]  A. Lachenbruch,et al.  Frictional heating, fluid pressure, and the resistance to fault motion , 1980 .

[26]  John R. Rice,et al.  On the Stability of Dilatant Hardening for Saturated Rock Masses , 1975 .

[27]  C. Comi,et al.  Material instabilities in inelastic saturated porous media under dynamic loadings , 2002 .

[28]  Kes Heffer,et al.  Theory of linear poroelasticity with applications to geomechanics and hydrogeology , 2004 .

[29]  J. Rice,et al.  Off-fault plasticity and earthquake rupture dynamics: 1. Dry materials or neglect of fluid pressure changes , 2008 .

[30]  J. Rice,et al.  Some basic stress diffusion solutions for fluid‐saturated elastic porous media with compressible constituents , 1976 .

[31]  Amos Nur,et al.  An exact effective stress law for elastic deformation of rock with fluids , 1971 .

[32]  James R. Rice,et al.  Effective normal stress alteration due to pore pressure changes induced by dynamic slip propagation on a plane between dissimilar materials , 2006 .

[33]  J. Rice,et al.  The growth of slip surfaces in the progressive failure of over-consolidated clay , 1973, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[34]  M. Cocco,et al.  A thermal pressurization model for the spontaneous dynamic rupture propagation on a three‐dimensional fault: 1. Methodological approach , 2006 .