Approximate method of solving three-dimensional problems of elasticity theory

1977 ◽  
Vol 13 (10) ◽  
pp. 1043-1049
Author(s):  
Yu. N. Podil'chuk ◽  
L. A. Neznakina
Keyword(s):  
Approximate Method ◽  
Elasticity Theory ◽  
Three Dimensional

scholarly journals On solutions of dynamic three-dimensional problems of the elasticity theory for earthquake modeling

2018 ◽  
Vol 71 (4) ◽  
pp. 17-29
Author(s):  
Ленсер Абгарович Агаловян ◽  
Мгер Ленсерович Агаловян ◽  
Варужан Варданович Тагворян
Keyword(s):  
Elasticity Theory ◽  
Three Dimensional ◽  
Earthquake Modeling

BROADSIDE REFRACTION SHOOTING

Geophysics ◽  
1959 ◽  
Vol 24 (4) ◽  
pp. 725-748 ◽  
Author(s):  
T. C. Richards
Keyword(s):  
Approximate Method ◽  
Three Dimensional ◽  
Field Work ◽  
Significant Error ◽  
Curved Surfaces ◽  
Travel Times ◽  
The Relationship

The three‐dimensional refraction trajectories and travel times in seismic broadside refraction shooting across simple steeply dipping or faulted hypothetical structures are determined when the shotpoint is displaced from the axis. No curved surfaces are assumed and the diffractions to be expected from the structural discontinuities are evaluated. An approximate method for correcting arc time measurements taken over the opposite side to that of the shotpoint is investigated while the conversion of times to dip is discussed. Discussion is also given to the differences in the diffraction time curves caused by changing the shotpoint from the up to the down side of a fault and the relationship these curves have with the refraction time curves in both arc and broadside shooting. The results of these studies indicate the care that should be taken in distinguishing between refracted and diffracted events, and in relating a measured broadside time to a particular point on the refractor. The latter may lead to significant error when simple mid‐point depth computations, often resorted to in field work, are employed.

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