A 4-PARAMETER, 2-DEGREE-OF-FREEDOM BLOCK-SPRING MODEL - EFFECT OF THE DRIVER VELOCITY

被引:6
作者
BRUN, JL
GOMEZ, JB
机构
[1] Dpto. de Física Aplicada, Univ. de Zaragoza, Zaragoza
[2] Dpto. de Geología, Univ. de Zaragoza, Zaragoza
关键词
BLOCK-SPRING MODELS; CHAOS; EARTHQUAKE PATTERNS;
D O I
10.1007/BF00879502
中图分类号
P3 [地球物理学]; P59 [地球化学];
学科分类号
0708 ; 070902 ;
摘要
We analyze the effect of tectonic plate velocities in the earthquake pattern using a simple mass-spring model of the Burridge and Knopoff type with two blocks and a velocity-weakening friction law. Previous versions of the two-block model assume a steady driver during slip events (limit of zero driver velocity), which, in some cases makes necessary the introduction of artificial parameters to start the numerical integration of the equations of motion at impending slip of any block. Still maintaining the condition of zero driver velocity during slip, we shall introduce a procedure to start the numerical integration without introducing artificial parameters and this will be done by using a linearized version of the equations of motion valid for small velocities and considering nonzero driver velocity. We also introduce a four parameter model in which the driver velocity enters the equations during the whole simulation, and analyze the effect of the new parameter, the driver velocity, in the displacement and time patterns of blocks motion, directly related to earthquake statistics such as coseismic slips and average repeat times.
引用
收藏
页码:633 / 653
页数:21
相关论文
共 32 条
[1]  
Bak P., Tang C., Earthquakes as a Self-organized Critical Phenomenon, Journal of Geophysical Research, 94, pp. 15635-15637, (1989)
[2]  
Brown S.R., Scholz C.H., Rundle J.B., A Simplified Spring-block Model of Earthquakes, Geophys. Res. Lett., 18, pp. 215-218, (1991)
[3]  
Burridge R., Knopoff L., Model and Theoretical Seismicity, Bull. Seismol. Soc. Am., 57, pp. 341-371, (1967)
[4]  
Cao T., Aki K., Seismicity Simulation with a Mass-spring Model and a Displacement Hardening-softening Friction Law, Pure and Appl. Geophys., 122, pp. 10-24, (1986)
[5]  
Cao T., Aki K., Seismicity Simulation with a Rate and State-dependent Friction Law, Pure and Appl. Geophys., 124, pp. 487-513, (1986)
[6]  
Carlson J.M., Langer J.S., Properties of Earthquakes Generated by Fault Dynamics, Physical Review Letters, 62, pp. 2632-2635, (1989)
[7]  
Carlson J.M., Langer J.S., Shaw B.E., Tang C., Intrinsic Properties of a Burridge-Knopoff Model of an Earthquake Fault, Phys. Rev. A, 44, pp. 884-897, (1991)
[8]  
Chen K., Bak P., Obukhov S.P., Self-organized Criticality in a Crack-propagation Model of Earthquakes, Phys. Rev A, 43, pp. 625-630, (1991)
[9]  
Cohen S.C., Computer Simulation of Earthquakes, J. Geophys. Res, 82, pp. 3781-3796, (1977)
[10]  
Cohen S.C., Numerical and Laboratory Simulation of Fault Motion and Earthquake Occurrence, Rev. Geophys. Space Phys., 17, pp. 61-72, (1979)