Rupture propagation and focusing of energy in a foam rubber model of a stick slip earthquake

1979 ◽  
Vol 84 (B7) ◽  
pp. 3623-3636 ◽  
Author(s):  
Stephen H. Hartzell ◽  
Ralph J. Archuleta
1975 ◽  
Vol 65 (5) ◽  
pp. 1059-1071
Author(s):  
Ralph J. Archuleta ◽  
James N. Brune

Abstract In this paper, we present and interpret dynamic displacement data for a stick-slip event in a foam rubber model of earthquake faulting. Static displacement data are used to infer the stress drop of about 0.016 μ, where μ is the shear modulus. The rupture velocity 0.7 β, where β is the shear-wave speed, is also inferred from the data. The observed particle displacement and particle velocity data are compared with analytical and numerical predictions. Doppler focusing of energy by rupture propagation is clearly observed. No large transverse displacement pulse such as that observed at Station 2 of the Parkfield earthquake is observed. In addition to its value for testing analytical and numerical predictions, the laboratory model provides much needed information on the distribution of strong ground motion in the neighborhood of a fault and thus helps in the problem of microzonation for earthquakes.


1973 ◽  
Vol 63 (6-1) ◽  
pp. 2105-2119
Author(s):  
James N. Brune

Abstract Stick-slip along precut surfaces in stressed foam rubber is similar to earthquake faulting, stick-slip in rock specimens, and theoretical predictions. An additional feature is the common occurrence of multiple events. A significant amount of slip occurs as fault creep. For simple one-slip events on a long fault, the peak particle velocities near the center of the fault average about half the value Δσβ/μ, with Δσβ/μ apparently being a good upper bound. The variation is probably due to focusing by rupture propagation. On a circular fault, the peak values average 3 to 4 times less, partly a result of a greater amount of fault creep, and probably, partly a result of focusing by rupture propagation. Total stress drops are typically about 10 to 20 per cent of the absolute stress, and during individual events about 80 to 90 per cent of the released strain energy is dissipated as friction. For multiple events the cumulative source time function is usually much longer than the source dimension divided by the shear-wave velocity. Thus, the far-field spectrum would have the shape for fractional stress drop, but the low-frequency spectral corner would not correspond to the fault dimension; thus, the inferred stress drops would be too low. Multiple events may explain some anomalously low inferred stress drops for small earthquakes and may partly explain the success of surface-wave excitation as a method of distinguishing underground nuclear explosions from earthquakes. Foam rubber models may be used to study strong motion around various types of faults and, thus, aid in the problem of microzonation.


1991 ◽  
Vol 7 (1) ◽  
pp. 45-79 ◽  
Author(s):  
James N. Brune ◽  
Abdolrasool Anooshehpoor

Results from a layered foam rubber model of soil and the structure (3-D) of the El Centro Terminal Substation building, site of the well known recording of the 1940 El Centro earthquake, indicate that the response of the foundation for frequencies above 4 Hz is as much as a factor of 3 lower than the free-field response amplitude. To validate the modeling technique with sample structure, we use the formulation for calculating theoretical responses of Wong and Luco (1977). Two-dimensional computer model results by Shannon and Wilson, Inc. and Agbabian Associates (1980), gave a response amplitude in the building about a factor of 2 lower than the response amplitude of the free-field for frequencies above 1.5 Hz. Foam rubber modeling shows that at higher frequencies most of the reduction in response is due to the energy being scattered by the shape of the rigid foundation rather than its inertial mass. Under the assumption that most of the energy was vertically incident SH, the free-field peak acceleration during the May 18, 1940 El Centro earthquake was about 50% higher than recorded on the 1940 accelerogram. The transfer function is very similar in shape to the weighting function used by Munguia and Brune (1984), to match synthetic accelerograms with the 1940 El Centro earthquake, suggesting that much of the relative deficit in high frequency energy was a result of soil-structure interaction rather than a source effect.


1999 ◽  
Vol 310 (1-4) ◽  
pp. 81-99 ◽  
Author(s):  
Naoyuki Kato ◽  
Takashi Satoh ◽  
Xinglin Lei ◽  
Kiyohiko Yamamoto ◽  
Tomowo Hirasawa

2015 ◽  
Vol 105 (3) ◽  
pp. 1456-1467
Author(s):  
Kevin M. McBean ◽  
John G. Anderson ◽  
James N. Brune ◽  
Rasool Anooshehpoor

2012 ◽  
Vol 52 ◽  
pp. 117-131 ◽  
Author(s):  
M. Di Bartolomeo ◽  
F. Massi ◽  
L. Baillet ◽  
A. Culla ◽  
A. Fregolent ◽  
...  

Sign in / Sign up

Export Citation Format

Share Document