World Library  


Add to Book Shelf
Flag as Inappropriate
Email this Book

Conditions for Large Earthquakes in a Two-asperity Fault Model : Volume 18, Issue 5 (17/10/2011)

By Dragoni, M.

Click here to view

Book Id: WPLBN0003983237
Format Type: PDF Article :
File Size: Pages 9
Reproduction Date: 2015

Title: Conditions for Large Earthquakes in a Two-asperity Fault Model : Volume 18, Issue 5 (17/10/2011)  
Author: Dragoni, M.
Volume: Vol. 18, Issue 5
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Historic
Publication Date:
2011
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

Citation

APA MLA Chicago

Santini, S., & Dragoni, M. (2011). Conditions for Large Earthquakes in a Two-asperity Fault Model : Volume 18, Issue 5 (17/10/2011). Retrieved from http://worldebookfair.org/


Description
Description: Dipartimento di Fisica, Università di Bologna, Viale Carlo Berti Pichat 8, 40127 Bologna, Italy. A fault with two asperities is modelled as a system made of two blocks coupled by a spring and sliding on a plane under the same values of static and dynamic friction. An analytical solution is given for the simultaneous motion of the blocks and the corresponding orbits are plotted in the phase space. It is proven that, whichever the initial state is, the long-term behaviour of the system is one of an infinite number of limit cycles, characterized by a particular pattern of forces. The region where the system is located when the blocks are stationary can be divided into narrow stripes corresponding to different orbits of the points belonging to them. This implies that the system is sensitive to perturbations and has relevant implications for a fault, which is subject to stress transfers from earthquakes generated by neighbouring faults. In this case, the fault may experience a larger earthquake, with the simultaneous failure of the two asperities, which restores a stress distribution compatible with periodic behaviour. The seismic moment associated with simultaneous asperity failure is always greater than the maximum value that can be released in a limit cycle. For strongly coupled asperities, the moment can be several times larger.

Summary
Conditions for large earthquakes in a two-asperity fault model

Excerpt
Burridge, R. and Knopoff, L.: Model and theoretical seismology, Bull. Seismol. Soc. Am., 57, 341–371, 1967.; Belardinelli, M. E. and Belardinelli, E.: The quasi-static approximation of the spring-slider motion, Nonlin. Processes Geophys., 3, 143–149, doi:10.5194/npg-3-143-1996, 1996.; Byerlee, J.: Friction of rocks, Pure Appl. Geophys., 116, 616–626, 1978.; Cao, T. and Aki, K.: Seismicity simulation with a mass-spring model and a displacement hardening-softening friction law, Pure Appl. Geophys., 122, 10–23, 1984.; Cao, T. and Aki, K.: Seismicity simulation with a rate and state dependent friction law, Pure Appl. Geophys., 124, 487–513, 1986.; Carlson, J. and Langer J.: Mechanical model of an earthquake fault, Phys. Rev. A, 40, 6470–6484, 1989.; Carlson, J. and Langer, J.: Properties of earthquakes generated by fault dynamics, Phys. Rev. Lett., 62, 2632–2635, 1989b.; Carlson, J., Langer, J., and Shaw, B.: Dynamics of earthquake fault, Rev. Mod. Phys., 66, 657–659, 1994.; Cohen, S.: Computer simulation of earthquakes, J. Geophys. Res., 82, 3781–3796, 1977.; de Sousa Vieira, M.: Chaos in a simple spring-block system, Phys. Lett. A, 198, 407–414, 1995.; di Bernardo, M., Budd, C., Champneys, A. R., and Kowalczyk, P.: Piecewise-smooth Dynamical Systems, 483 pp., Springer, 2008.; Dieterich, J. H.: Time dependent friction as a possible mechanism for aftershocks, J. Geophys. Res., 77, 3771–3781, 1972.; Nussbaum, J. and Ruina, A.: A two degree-of-freedom earthquake model with static/dynamic friction, Pure Appl. Geophys., 125, 629–656, 1987.; Rice, J. R. and Tse, S. T.: Dynamic motion of a single degree of freedom system following a rate and state dependent friction law, J. Geophys. Res., 91, 521–530, 1986.; Dieterich, J. H.: Constitutive properties of faults with simulated gouge, in Mechanical Behavior of Crustal Rocks, edited by: Carter, N. L., Friedman, M., Logan, J. M., and Stearns, D. W., Am. Geophys. Union, Geophys. Monogr., 24, 103–120, 1981.; Dragoni, M. and Santini, S.: Simulation of the long-term behaviour of a fault with two asperities, Nonlin. Processes Geophys., 17, 777–784, doi:10.5194/npg-17-777-2010, 2010.; Erickson, B., Birnir, B., and Lavall�e, D.: A model for aperiodicity in earthquakes, Nonlin. Processes Geophys., 15, 1–12, doi:10.5194/npg-15-1-2008, 2008.; Galvanetto, U.: Sliding bifurcations in the dynamics of mechanical systems with dry friction – remarks for engineers and applied scientists, J. Sound Vibration, 276, 121–139, 2004.; Gu, J. C., Rice, J. R., Ruina, A. L., and Tse, S. T.: Slip motion and stability of a single degree of freedom elastic system with rate and state dependent friction, J. Mech. Phys. Sol., 32, 167–196, 1984.; Gu, J. C. and Wong T. F.: Effects of loading velocity, stiffness and inertia on the dynamics of a single degree of freedom spring-slider system, J. Geophys. Res., 96, 21677–21691, 1991.; He, C.: Interaction between two sliders in a system with rate- and state-dependent friction, Science in China, Series D, 46, 67–74, 2003.; Huang, J. and Turcotte, D. L.: Are earthquakes an example of deterministic chaos?, Geophys. Res. Lett., 17, 223–226, 1990a.; Huang, J. and Turcotte, D. L.: Evidence for chaotic fault interactions in the seismicity of the San Andreas fault and Nankai trough, Nature, 348, 234–236, 1990b.; Huang, J. and Turcotte, D. L.: Chaotic seismic faulting with mass-spring model and velocity-weakening friction, Pure Appl. Geophys., 138, 569–589, 1992.; McCloskey, J. and Bean, C. J.: Time and magnitude predictions in shocks due to chaotic fault interactions, Geophys. Res. Lett., 19, 119–122, 1992.; Ruina, A.: Slip instability and state variable friction laws, J. Geophys. Res., 88, 10359–10370, 1983.; Rundle, J. B. and Jackson, D. D.: Numerical simulation of earthquake sequences, Bull. S

 

Click To View

Additional Books


  • Analysis of Phase Coherence in Fully Dev... (by )
  • Turning the Resistive Mhd Into a Stochas... (by )
  • Finite-time Lagrangian Transport Analysi... (by )
  • Intraplate Seismicity in Canada: a Graph... (by )
  • Phase Space Vortices in Collisionless Pl... (by )
  • Nonlinear Interactions Between Relativis... (by )
  • Dispersion of Aerosol Particles in the F... (by )
  • Brief Communication: Weibel, Firehose an... (by )
  • Using Magnetic Fluids to Simulate Convec... (by )
  • Preface : Volume 9, Issue 5/6 (30/11/-00... 
  • Head-on Collision of Two Solitary Waves ... (by )
  • Intermittency and Multifractional Browni... (by )
Scroll Left
Scroll Right

 



Copyright © World Library Foundation. All rights reserved. eBooks from World eBook Fair are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.