Dynamic shear rupture interactions with fault bends and off-axis secondary faulting

[1] On the basis of elastodynamic stress fields for singular crack and nonsingular slip-weakening models of propagating rupture, we develop preliminary answers to such questions as follows: If a rupturing fault is intersected by another, providing a possible bend in the failure path, when will stressing be consistent with rupture along the bend? What secondary fault locations and orientations, in a damaged region bordering a major fault, will be stressed to failure by the main rupture? Stresses that could initiate rupture on a bend are shown to increase dramatically with crack speed, especially near the limiting speed (Rayleigh for mode II, shear for mode III). Whether a bend path, once begun, can be continued to larger scales depends on principal stress directions and ratios in the prestress field. Conditions should often be met in mode II for which bend paths encouraged by stressing very near the rupture tip are discouraged by the larger-scale stressing, a basis for intermittent rupture propagation and spontaneous arrest. Secondary failure in the damage zone likewise increases markedly as the limiting speed is approached. Such may make the fracture energy much greater than for slip on a single surface. The extent of secondary faulting is strongly affected by prestress directions and the ratio of residual to peak strength. For mode II, prestress controls whether activation occurs primarily on the extensional side, which we show to be the typical case, or on the compressional side too. Natural examples are consistent with the concepts developed.

[1]  John W. Hutchinson,et al.  Dynamic Fracture Mechanics , 1990 .

[2]  J. Lewis,et al.  The Meckering and Calingiri earthquakes, October 1968 and March 1970 , 1980 .

[3]  Robert S. Yeats,et al.  Late Cenozoic Tectonics of the East Ventura Basin, Transverse Ranges, California , 1994 .

[4]  Gross,et al.  Local crack branching as a mechanism for instability in dynamic fracture. , 1995, Physical review letters.

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

[6]  H. Aref New Perspectives in Crack and Fault Dynamics The Harvard community has made this article openly available. Please share how this access benefits you. Your story matters , 2001 .

[7]  K. Ravi-Chandar,et al.  An experimental investigation into dynamic fracture: II. Microstructural aspects , 1984 .

[8]  R. Yeats,et al.  Tectonic setting of the 1971 Sylmar and 1994 Northridge earthquakes in the San Fernando Valley, California , 1999, Bulletin of the Seismological Society of America.

[9]  G. Ekström,et al.  Seismicity and geometry of a 110 km-long blind thrust fault: 1 , 1992 .

[10]  Hideo Aochi,et al.  Three‐dimensional nonplanar simulation of the 1992 Landers earthquake , 2002 .

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

[12]  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.

[13]  G. King,et al.  The evolution of a thrust fault system: processes of rupture initiation, propagation and termination in the 1980 El Asnam (Algeria) earthquake , 1984 .

[14]  Hideo Aochi,et al.  Selectivity of spontaneous rupture propagation on a branched fault , 2000 .

[15]  Erland Johnson Process region changes for rapidly propagating cracks , 1992 .

[16]  H. Aochi,et al.  Spontaneous Rupture Propagation on a Non-planar Fault in 3-D Elastic Medium , 2000 .

[17]  M. Niazi Source dynamics of the Dasht-e Bayāz earthquake of August 31, 1968 , 1969 .

[18]  D. J. Andrews,et al.  Rupture velocity of plane strain shear cracks , 1976 .

[19]  A. F. Fossum,et al.  Nonuniformly moving shear crack model of a shallow focus earthquake mechanism , 1975 .

[20]  G. I. Barenblatt THE MATHEMATICAL THEORY OF EQUILIBRIUM CRACKS IN BRITTLE FRACTURE , 1962 .

[21]  Thomas Seelig,et al.  On the interaction and branching of fast running cracks—a numerical investigation , 1999 .

[22]  John R. Rice,et al.  The mechanics of earthquake rupture , 1980 .

[23]  R. Yeats,et al.  Late Cenozoic tectonics of the east Ventura basin , 1994 .

[24]  Nobuki Kame,et al.  Simulation of the spontaneous growth of a dynamic crack without constraints on the crack tip path , 1999 .

[25]  Hideo Aochi,et al.  Effect of normal stress during rupture propagation along nonplanar faults , 2002 .

[26]  T. Heaton,et al.  Generalized ray models of the San Fernando Earthquake , 1979 .

[27]  Xiaopeng Xu,et al.  Numerical simulations of fast crack growth in brittle solids , 1994 .

[28]  L. B. Freund,et al.  The mechanics of dynamic shear crack propagation , 1979 .

[29]  Lucile M. Jones,et al.  The 1994 Northridge earthquake sequence in California: Seismological and tectonic aspects , 1995 .

[30]  John R. Rice,et al.  A Critical Evaluation of Cohesive Zone Models of Dynamic Fracture , 2001 .

[31]  J. C. Savage,et al.  Failure in laboratory fault models in triaxial tests , 1996 .

[32]  E. Yoffe,et al.  The moving Griffith crack , 1951 .

[33]  T. D. Rubin,et al.  Relationship of the kickapoo fault to the Johnson Valley and Homestead Valley faults, San Bernardino County, California , 1994, Bulletin of the Seismological Society of America.

[34]  Earthquakes in Kern County, California, During 1952 , 1956, Nature.

[35]  Ralph J. Archuleta,et al.  A faulting model for the 1979 Imperial Valley earthquake , 1984 .

[36]  J. Rice,et al.  Fracture theory and its seismological applications , 1986 .

[37]  J. D. Eshelby The elastic field of a crack extending non-uniformly under general anti-plane loading , 1969 .

[38]  Geoffrey C. P. King,et al.  Speculations on the geometry of the initiation and termination processes of earthquake rupture and its relation to morphology and geological structure , 1986 .

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

[40]  A. Aydin,et al.  Effect of mechanical interaction on the development of strike-slip faults with echelon patterns , 1990 .

[41]  Steven M. Day,et al.  Fault steps and the dynamic rupture process: 2-D numerical simulations of a spontaneously propagating shear fracture , 1991 .

[42]  E. Hauksson,et al.  Crustal stress field in southern California and its implications for fault mechanics , 2001 .

[43]  Marc Bonnet,et al.  Modelling of dynamical crack propagation using time-domain boundary integral equations , 1992 .

[44]  R. Sibson Stopping of earthquake ruptures at dilational fault jogs , 1985, Nature.

[45]  F. Erdogan,et al.  Crack-propagation theories. , 1967 .

[46]  K. Ravi-Chandar,et al.  An experimental investigation into dynamic fracture: III. On steady-state crack propagation and crack branching , 1984 .

[47]  F. Chester,et al.  Ultracataclasite structure and friction processes of the Punchbowl Fault , 1998 .

[48]  James P. Evans,et al.  Internal structure and weakening mechanisms of the San Andreas Fault , 1993 .

[49]  T. Yamashita,et al.  The paradox of smooth and abrupt bends in two-dimensional in-plane shear-crack mechanics , 1996 .

[50]  Steven M. Day,et al.  Dynamic 3D simulations of earthquakes on En Echelon Faults , 1999 .

[51]  T. Yamashita,et al.  Non‐hypersingular boundary integral equations for two‐dimensional non‐planar crack analysis , 1997 .

[52]  M. Ortiz,et al.  Computational modelling of impact damage in brittle materials , 1996 .

[53]  D. S. Dugdale Yielding of steel sheets containing slits , 1960 .

[54]  Teng-fong Wong,et al.  Shear fracture energy of Westerly granite from post‐failure behavior , 1982 .

[55]  Steven M. Day,et al.  Dynamics of fault interaction: parallel strike‐slip faults , 1993 .

[56]  E. Yoffe,et al.  LXXV. The moving griffith crack , 1951 .

[57]  L. B. Freund,et al.  Crack propagation in an elastic solid subjected to general loading—II. Non-uniform rate of extension , 1972 .

[58]  T. Yamashita,et al.  A new light on arresting mechanism of dynamic earthquake faulting , 1999 .

[59]  L. B. Freund,et al.  Crack propagation in an elastic solid subjected to general loading—I. Constant rate of extension , 1972 .

[60]  J. Rice,et al.  A critical evaluation of dynamic fracture simulations using cohesive surfaces , 2001, cond-mat/0106304.

[61]  GEOFFREY KING,et al.  Role of Fault Bends in the Initiation and Termination of Earthquake Rupture , 1985, Science.

[62]  J. Weeks,et al.  Roughness and wear during brittle faulting , 1988 .

[63]  E. Hauksson,et al.  Role of fluids in faulting inferred from stress field signatures , 1999, Science.

[64]  J. Rice New Perspectives on Crack and Fault Dynamics , 2001 .

[65]  R. E. Wallace,et al.  Characteristics of faults and shear zones in deep mines , 1986 .

[66]  A. Barka,et al.  Strike‐slip fault geometry in Turkey and its influence on earthquake activity , 1988 .

[67]  S. Day,et al.  3D simulations of multi‐segment thrust fault rupture , 1999 .

[68]  Gross,et al.  Energy dissipation in dynamic fracture. , 1996, Physical review letters.

[69]  K. Ravi-Chandar,et al.  An experimental investigation into dynamic fracture: I. Crack initiation and arrest , 1984 .

[70]  D. J. Andrews,et al.  Rupture propagation with finite stress in antiplane strain , 1976 .

[71]  T. Yamashita,et al.  Dynamic nucleation process of shallow earthquake faulting in a fault zone , 1997 .

[72]  J. Rice,et al.  Pore pressure and poroelasticity effects in Coulomb stress analysis of earthquake interactions , 2002 .

[73]  L. B. Freund,et al.  The stability of a rapid mode II shear crack with finite cohesive traction , 1979 .

[74]  R. Madariaga,et al.  Non-hypersingular boundary integral equations for 3-D non-planar crack dynamics , 2000 .

[75]  Steven M. Day,et al.  The 1999 İzmit, Turkey, Earthquake: A 3D Dynamic Stress Transfer Model of Intraearthquake Triggering , 2002 .

[76]  Michel Bouchon,et al.  Propagation of a shear crack on a nonplanar fault: A method of calculation , 1997 .

[77]  B. V. Kostrov,et al.  Unsteady propagation of longitudinal shear cracks , 1966 .