Model Seismology

1979 ◽  
pp. 277-290
Author(s):  
Markus Båth
Keyword(s):  
Model Seismology

Component registration in two-dimensional model seismology

1966 ◽  
Vol 10 (3) ◽  
pp. 314-322 ◽  
Author(s):  
Rolf Gutdeutsch ◽  
Manfred Koenig
Keyword(s):  
Two Dimensional ◽  
Dimensional Model ◽  
Two Dimensional Model ◽  
Model Seismology

Recent Results in Model Seismology

1955 ◽  
Vol 26 (2) ◽  
pp. 13-13
Author(s):  
Jack Oliver ◽  
Frank Press ◽  
Maurice Ewing
Keyword(s):  
Model Seismology

THE INTERFACE PROBLEM IN MODEL SEISMOLOGY

Geophysics ◽  
1968 ◽  
Vol 33 (3) ◽  
pp. 473-480 ◽  
Author(s):  
Fred Schwab ◽  
Robert Burridge
Keyword(s):  
Finite Thickness ◽  
Mathematical Formulation ◽  
Analytical Techniques ◽  
Experimental Results ◽  
Interface Problem ◽  
Bonding Layer ◽  
Contact Interface ◽  
Bonding Agents ◽  
Model Seismology ◽  
Theoretical Results

Many seismic problems involve interfaces. Seismic modeling provides a means of passing from the mathematical formulation to the solution of such problems when suitable analytical techniques are not available. Accurate interface formulations are necessary if modeling is to be as effective as possible in this role. Application of improved techniques has provided more accurate and detailed results than possible in the original work (Toksöz and Schwab, 1964) on model interface formulations. The present investigation was limited to butt‐joined, two‐dimensional models constructed with metallic sheets and epoxy bonding agents. Experimental results were first compared with those predicted by the simplest of “welded‐contact” theories—that which totally ignores the bonding layer. For a layer thickness of 0.007 cm, fair agreement was noted for frequencies below 125 kHz. New theoretical results were then predicted by taking the finite thickness and elastic properties of the bonding layer into consideration. The metal‐epoxy interfaces were assumed “welded‐contacts.” Irrespective of whether the formulation specified a perfectly elastic or an anelastic bonding material, the correlation between predicted and experimental results was quite poor. The disparity was much greater, over the entire frequency range, than that obtained from the formulation which totally ignored the bonding layer. All the welded‐contact interface formulations tested in this investigation were found unsatisfactory for highly accurate work. Based on the technique used to test the welded‐contact assumption, a mathematically accurate description of the interface was developed.

Model seismology

1953 ◽  
Vol 43 (3) ◽  
pp. 239-245
Author(s):  
T. D. Northwood ◽  
D. V. Anderson
Keyword(s):  
Model Seismology

TRANSMISSION AND REFLECTION OF RAYLEIGH WAVES AT CORNERS

Geophysics ◽  
1958 ◽  
Vol 23 (2) ◽  
pp. 253-266 ◽  
Author(s):  
J. Cl. de Bremaecker
Keyword(s):  
Surface Wave ◽  
Rayleigh Wave ◽  
Rayleigh Waves ◽  
Body Waves ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Reflection And Transmission ◽  
Two Dimensional Model ◽  
Model Seismology ◽  
Transmission And Reflection

The methods of two dimensional model seismology were used to investigate the phenomena occurring when a Rayleigh wave is incident upon a corner whose angle is comprised between 0° and 180°. The wave bends its path only for angles between 130° and 180°. For smaller angles large and abrupt variations in reflection and transmission occur; the wave travels to the extremity of the corner and never “cuts corners”; only about 50 percent of the energy of the indicent surface wave is preserved as such, the rest goes into body waves; for a 90° corner the proportion is about 23 percent in P and 26 percent in S, with sharply preferential angles of incidence. The percentages given were found for a “plate Poisson’s ratio” of 0.17.

ACCURACY IN MODEL SEISMOLOGY

Geophysics ◽  
1967 ◽  
Vol 32 (5) ◽  
pp. 819-826 ◽  
Author(s):  
Fred Schwab
Keyword(s):  
Amplitude Spectrum ◽  
Model Combination ◽  
General Symmetry ◽  
Spatial Response ◽  
Common Technique ◽  
Quantitative Results ◽  
Model Seismology ◽  
Source Excitation ◽  
Receiver Model ◽  
Improved Accuracy

The most common technique currently used in model seismology makes use of a fixed source of elastic waves and a single receiver. This receiver is moved from position to position on a model in order to determine the relative spatial response to the source excitation. Inaccuracies occur due to the difficulty in obtaining the same receiver‐model coupling at each position. This coupling problem can be solved through the use of two source positions, the simultaneous use of two receivers, and the application of a general symmetry condition to the source‐receiver, and model geometries. Basic relations are established for this method. Independently of whether displacement, velocity, or acceleration detectors are used as receivers, these relations yield relative amplitude and phase spectra of the displacement at two different points on the model. These basic relations, and thus the validity of the method, are established by experiment. When a receiver is coupled to a model, the incident pulse is scattered as it passes the receiver position. This effect is negligible when bimorph receivers are used with two‐dimensional, steel‐sheet models. Edge receivers, used in conjunction with the same type models, produce significant, frequency‐dependent scatter. Quantitative results for this latter type of receiver‐model combination are obtained by experiment. These results show the amplitude‐spectrum of the displacement pulse to be attenuated by as much as 41 percent. Over the entire frequency range treated, the attenuation is never less than 4 percent. If it is necessary to use scattering receiver‐model combinations, the technique described for obtaining improved accuracy can be modified to correct for this effect.

MODEL SEISMOLOGY—THE CRITICAL REFRACTION OF ELASTIC WAVES

Geophysics ◽  
1955 ◽  
Vol 20 (2) ◽  
pp. 227-242 ◽  
Author(s):  
P. N. S. O’Brien
Keyword(s):  
Theoretical Prediction ◽  
Calcium Chloride ◽  
Elastic Waves ◽  
Quantitative Data ◽  
Experimental Error ◽  
Lubricating Oil ◽  
Head Wave ◽  
Model Experiments ◽  
Chloride Water ◽  
Model Seismology

Model experiments on the head wave are described. Quantitative data are obtained for three different pairs of media: light lubricating oil on top of a saturated solution of calcium chloride, water on top of wax, and water on top of concrete. Within the limits of experimental error these data agree with the theoretical prediction that the head wave should decay with distance as [Formula: see text] (Heelan, 1953).

scholarly journals MODEL SEISMOLOGY ON A DIPPING LAYER

1972 ◽  
Vol 20 (4) ◽  
pp. 341-356
Author(s):  
Tameshige TSUKUDA
Keyword(s):  
Model Seismology
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