Premonitory transformation of steel fracturing and seismicity

Abstract Transformation of microfracturing preceding the break up of steel and rock samples is similar to transformation of earthquakes flow prior to strong earthquakes in Southern California. The break up in a sample is preceded by transition from formation of new microcracks to coalescence or expansion of existing cracks. This is reflected in the relation between the length and the number of the cracks. Similar transformation of seismicity precedes Southern California earthquakes with magnitude M ≥ 6.6, 1935–1994. Specifically, magnitude-frequency relation bends downward for magnitudes from 3 to 4.5 and upward for magnitudes from about 4.5 to 6; in the usual notations the ‘b-value’ becomes larger in the first interval and smaller in the second one. This transformation is accompanied by the increased share of aftershocks in the earthquakes flow. In such a way the approach of a strong earthquake is reflected in both major traits of seismicity: magnitude-frequency relation and earthquake clustering. Imprecision of the earthquake catalog and reasonable variations in its analysis do not change our conclusions. This phenomenon explains, so far—qualitatively, a wide set of premonitory seismicity patterns. We give it a formal definition, allowing to test whether it takes place in other seismic regions.

[1]  Andrei Gabrielov,et al.  Block model of earthquake sequence , 1990 .

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

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

[4]  G. I. Barenblatt,et al.  Similarity, Self-Similarity and Intermediate Asymptotics , 1979 .

[5]  G. I. Barenblatt,et al.  A mathematical model of damage accumulation taking into account microstructural effects , 1993, European Journal of Applied Mathematics.

[6]  Ryoji Yuuki,et al.  FATIGUE MICROCRACKS IN A LOW CARBON STEEL , 1985 .

[7]  V I Keilis-Borok,et al.  Intermediate-term earthquake prediction. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[8]  G. M. Molchan,et al.  Dynamics of the magnitude-frequency relation for foreshocks , 1990 .

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

[10]  Takayuki Hirata,et al.  Omori's Power Law aftershock sequences of microfracturing in rock fracture experiment , 1987 .

[11]  Clément Narteau,et al.  Scaling organization of fracture tectonics (SOFT) and earthquake mechanism , 1995 .

[12]  L. Knopoff,et al.  b Values for foreshocks and aftershocks in real and simulated earthquake sequences , 1982 .

[13]  L. Knopoff,et al.  Is the sequence of earthquakes in Southern California, with aftershocks removed, Poissonian? , 1974, Bulletin of the Seismological Society of America.

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

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

[16]  Self-oscillatory modes of fatigue fracture and the formation of self-similar structures at the fracture surface , 1993, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

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

[18]  Keisuke Ito,et al.  Fractal structure of spatial distribution of microfracturing in rock , 1987 .

[19]  A. Gabrielov,et al.  Geometric incompatibility in a fault system. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[20]  Newman,et al.  log-periodic behavior of a hierarchical failure model with applications to precursory seismic activation. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

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

[22]  L. Knopoff,et al.  Bursts of seismicity as long‐term precursors of strong earthquakes , 1980 .

[23]  B. E. Shaw,et al.  Slip complexity in dynamic models of earthquake faults. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[24]  M. Caputo,et al.  Long-term premonitory seismicity patterns in Italy , 1983 .

[25]  J. Carlson,et al.  Active zone size versus activity: A study of different seismicity patterns in the context of the prediction algorithm M8 , 1995 .

[26]  L. Knopoff,et al.  Crack fusion as a model for repetitive seismicity , 1983 .

[27]  L. Knopoff,et al.  Model for intermediate‐term precursory clustering of earthquakes , 1992 .

[28]  Bruce E. Shaw,et al.  Patterns of seismic activity preceding large earthquakes , 1992 .

[29]  William I. Newman,et al.  Nonlinear Dynamics and Predictability of Geophysical Phenomena: Newman/Nonlinear Dynamics and Predictability of Geophysical Phenomena , 1994 .