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Transformation of Frequency-magnitude Relation Prior to Large Events in the Model of Block Structure Dynamics : Volume 15, Issue 1 (27/02/2008)

By Soloviev, A.

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Book Id: WPLBN0003981065
Format Type: PDF Article :
File Size: Pages 12
Reproduction Date: 2015

Title: Transformation of Frequency-magnitude Relation Prior to Large Events in the Model of Block Structure Dynamics : Volume 15, Issue 1 (27/02/2008)  
Author: Soloviev, A.
Volume: Vol. 15, Issue 1
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Historic
Publication Date:
2008
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Soloviev, A. (2008). Transformation of Frequency-magnitude Relation Prior to Large Events in the Model of Block Structure Dynamics : Volume 15, Issue 1 (27/02/2008). Retrieved from http://hawaiilibrary.net/


Description
Description: International Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences, Moscow, Russia. The b-value change in the frequency-magnitude (FM) distribution for a synthetic earthquake catalogue obtained by means of the model of block structure dynamics has been studied. The catalogue is divided into time periods preceding strong earthquakes and time periods that do not precede strong earthquakes. The separate analysis of these periods shows that the b-value is smaller before strong earthquakes. The similar phenomenon has been found also for the observed seismicity of the Southern California. The model of block structure dynamics represents a seismic region as a system of perfectly rigid blocks divided by infinitely thin plane faults. The blocks interact between themselves and with the underlying medium. The system of blocks moves as a consequence of prescribed motion of the boundary blocks and of the underlying medium. As the blocks are perfectly rigid, all deformation takes place in the fault zones and at the block base in contact with the underlying medium. Relative block displacements take place along the fault zones. Block motion is defined so that the system is in a quasistatic equilibrium state. The interaction of blocks along the fault zones is viscous-elastic (normal state) while the ratio of the stress to the pressure remains below a certain strength level. When the critical level is exceeded in some part of a fault zone, a stress-drop (failure) occurs (in accordance with the dry friction model), possibly causing failure in other parts of the fault zones. These failures produce earthquakes. Immediately after the earthquake and for some time after, the affected parts of the fault zones are in a state of creep. This state differs from the normal state because of a faster growth of inelastic displacements, lasting until the stress falls below some other level. This numerical simulation gives rise a synthetic earthquake catalogue.

Summary
Transformation of frequency-magnitude relation prior to large events in the model of block structure dynamics

Excerpt
Aki, K.: Maximum likelihood estimate of b in formula log N=a–b M and its confidence limits, Bull. Earthquake Res. Inst. Univ. Tokyo, 43, 237–239, 1965.; Allègre, C. J., Le Mou\el, J.-L., and Provost, A.: Scaling rules in rock fracture and possible implications for earthquake prediction, Nature, 297, 47–49, 1982.; Allègre, C. J., Le Mou\el, J.-L., Chau, H. D., and Narteau, C.: Scaling organization of fracture tectonics (SOFT) and earthquake mechanism, Phys. Earth Planet. Inter., 92, 215–233, 1995.; Amelung, F. and King, G.: Earthquake scaling laws for creeping and noncreeping faults, Geophys. Res. Lett., 24, 507–510, 1997.; Amitrano, D.: Brittle-ductile transition and associated seismicity: Experimental and numerical studies and relationship with the $b$ value, J. Geophys. Res., 108, 2044, doi:10.1029/2001JB000680, 2003.; Bak, P. and Tang, C.: Earthquakes as a self-organized critical phenomenon, Geophys. Res. Lett., 94, 15 635–15 637, 1989.; Barenblatt, G. I, Keilis-Borok, V. I, and Monin, A. S.: Filtration model of earthquake sequence, Transactions (Doklady) Acad. Sci. SSSR, 269, 831–834, 1983.; Ben-Zion, Y. and Rice, J. R.: Earthquake failure sequence along a cellurar fault zone in a three-dimensional elastic solid containing asperity and nonasperity regions, J. Geophys. Res., 98, 14 109–14 131, 1993.; Ben-Zion, Y. and Lyakhovsky, V.: Analysis of aftershocks in a lithospheric model with seismogenic zone governed by damage rheology, Geophys. J. Int., 165, 197–210, 2006.; Blanter, E. M., Shnirman, M. G., and Le Mou\el, J.-L.: Hierarchical model of seismicity: Scaling and predictability, Phys. Earth Planet. Inter., 103, 135–150, 1998.; Burridge, R. and Knopoff, L.: Model and theoretical seismicity, Bull. Seismol. Soc. Am., 57, 341–360, 1967.; Burroughs, S. M. and Tebbens, S. F.: The upper-truncated power law applied to earthquake cumulative frequency-magnitude distributions: evidence for a time-independent scaling parameter, Bull. Seismol. Soc. Am., 92, 2983–2993, 2002.; Christensen, K. and Olami, Z.: Variation of the Gutenberg-Richter $b$ values and nontrivial temporal correlations in a spring-block model for earthquakes, J. Geophys. Res., 97, 8729–8735, 1992.; Dieterich, J. H.: Time-dependent friction as a possible mechanism for aftershocks, J. Geophys. Res., 77, 3771–3781, 1972.; Dieterich, J. H.: A constitutive law for earthquake production and its application to earthquake clustering, J. Geophys. Res., 99, 2601–2618, 1994.; Eneva, M. and Ben-Zion, Y.: Techniques and parameters to analyze seismicity patterns associated with large earthquakes, J. Geophys. Res., 102, 17 785–17 795, 1997.; Fitzenz, D. D. and Miller, S. A.: A forward model for earthquake generation on interacting faults including tectonics, fluids, and stress transfer, J. Geophys. Res., 106, 26 689–26 706, 2001.; Gabrielov, A. M. and Keilis-Borok, V. I.: Patterns of stress corrosion: Geometry of the principal stresses, Pure Appl. Geophys., 121, 477–494, 1983.; Gabrielov, A. M., Levshina, T. A., and Rotwain, I. M.: Block model of earthquake sequence, Phys. Earth and Planet. Inter., 61, 18–28, 1990.; Gabrielov, A. M., Keilis-Borok, V.I., Zaliapin, I. V., and Newman, W. I.: Critical transitions in colliding cascades, Phys. Rev. E, 62, 237–249, 2000.; Gutenberg, R. and Richter, C. F.: Frequency of earthquakes in California, Bull. Seismol. Soc. Am., 34, 185–188, 1944.; Nur, A. and Booker, J. R.: Aftershocks caused by pore fluid flow?, Science, 175, 885–887, 1972.; Ishimoto, M. and Iida, K.: Observations on earthquakes registered with the microseismograph constructed recently, Bull. Earthquake Res. Inst. Univ. Tokyo, 17, 443–478, 1939.; Ismail-Zadeh A., Le Mou\el, J.-L., Soloviev, A., Tapponnier, P., and Vorovieva, I.: Numerical modeling of

 

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