Scaling organization of fracture tectonics (SOFT) and earthquake mechanism

Abstract In this paper we use an energy splitting combined with a renormalization group approach to model the behaviour of a fault zone subject to earthquakes. After developing the formalism we explore through numerical experiments the case of a single domain and the case of several interactive domains. This approach is a link between physical approaches, multiblock approaches (like Burridge-Knopoff) and scaling approaches to earthquakes.

[1]  D. Lockner,et al.  How geometrical constraints contribute to the weakness of mature faults , 1993, Nature.

[2]  T. Hirata.  Fractal dimension of fault systems in Japan: Fractal structure in rock fracture geometry at various scales , 1989 .

[3]  L. Knopoff,et al.  Model and theoretical seismicity , 1967 .

[4]  Hiroo Kanamori,et al.  The State of Stress in the Earth's Lithosphere , 1980 .

[5]  Christopher H. Scholz,et al.  Theory of time-dependent rupture in the Earth , 1981 .

[6]  K. Wilson.  Problems in Physics with many Scales of Length , 1979 .

[7]  G. King,et al.  STATIC STRESS CHANGES AND THE TRIGGERING OF EARTHQUAKES , 1994 .

[8]  M. G. Shnirman,et al.  Hierarchical model of defect development and seismicity , 1990 .

[9]  Christopher H. Scholz,et al.  Scaling laws for large earthquakes: Consequences for physical models , 1982 .

[10]  J. Rundle,et al.  The growth of geological structures by repeated earthquakes, 1, conceptual framework , 1988 .

[11]  D. Turcotte,et al.  An exact renormalization model for earthquakes and material failure: statics and dynamics , 1994 .

[12]  Keiiti Aki,et al.  Magnitude‐frequency relation for small earthquakes: A clue to the origin of ƒmax of large earthquakes , 1987 .

[13]  D. L. Anderson,et al.  Theoretical Basis of Some Empirical Relations in Seismology by Hiroo Kanamori And , 1975 .

[14]  K. Aki.  Scaling law of seismic spectrum , 1967 .

[15]  Jian Lin,et al.  Change in Failure Stress on the Southern San Andreas Fault System Caused by the 1992 Magnitude = 7.4 Landers Earthquake , 1992, Science.

[16]  Keiiti Aki,et al.  Fault plane with barriers: A versatile earthquake model , 1977 .

[17]  V. I. Keilis-Borok,et al.  The lithosphere of the Earth as a nonlinear system with implications for earthquake prediction , 1990 .

[18]  C. Scholz.  The Mechanics of Earthquakes and Faulting , 1990 .

[19]  Michio Otsuka.  A CHAIN-REACTION-TYPE SOURCE MODEL AS A TOOL TO INTERPRET THE MAGNITUDE-FREQUENCY RELATION OF EARTHQUAKES , 1972 .

[20]  Carlson,et al.  Mechanical model of an earthquake fault. , 1989, Physical review. A, General physics.

[21]  R. Armijo,et al.  Late Cenozoic right‐lateral strike‐slip faulting in southern Tibet , 1989 .

[22]  Geoffrey C. P. King,et al.  The accommodation of large strains in the upper lithosphere of the earth and other solids by self-similar fault systems: the geometrical origin of b-Value , 1983 .

[23]  Sara A. Solla,et al.  A renormalization group approach to the stick-slip behavior of faults , 1985 .

[24]  Keiiti Aki,et al.  Asperities, barriers, characteristic earthquakes and strong motion prediction , 1984 .

[25]  Paul Tapponnier,et al.  Development of stress-induced microcracks in Westerly Granite , 1976 .

[26]  A. Provost,et al.  Scaling rules in rock fracture and possible implications for earthquake prediction , 1982, Nature.

[27]  R. Madariaga.  Dynamics of an expanding circular fault , 1976, Bulletin of the Seismological Society of America.

[28]  W. F. Brace,et al.  A note on brittle crack growth in compression , 1963 .

[29]  Claude J. Allègre,et al.  Introduction of scaling techniques in brittle fracture of rocks , 1994 .

[30]  Bertrand Meyer,et al.  Active thrusting and folding in the Qilian Shan, and decoupling between upper crust and mantle in northeastern Tibet , 1990 .

[31]  Thomas C. Hanks,et al.  Earthquake stress drops, ambient tectonic stresses and stresses that drive plate motions , 1977 .

[32]  Robert H. Osborne,et al.  Self-similar cataclasis in the formation of fault gouge , 1986 .

[33]  B. Gutenberg,et al.  Seismicity of the Earth and associated phenomena , 1950, MAUSAM.

[34]  N. N. Ambraseys,et al.  Some characteristic features of the Anatolian fault zone , 1970 .

[35]  Tamaz Chelidze,et al.  Percolation and fracture , 1982 .

[36]  C. Scholz,et al.  Dilatancy in the fracture of crystalline rocks , 1966 .

[37]  D. Jackson,et al.  Numerical simulation of earthquake sequences , 1977, Bulletin of the Seismological Society of America.