Elastic wave and excitation mechanism of surface waves in multilayered media

1996 ◽  
Vol 100 (6) ◽  
pp. 3527-3538 ◽  
Author(s):  
Bixing Zhang ◽  
M. Yu ◽  
C. Q. Lan ◽  
Wei Xiong
Keyword(s):  
Elastic Wave ◽  
Surface Waves ◽  
Excitation Mechanism ◽  
Multilayered Media

The dispersion of surface waves on multilayered media*

1953 ◽  
Vol 43 (1) ◽  
pp. 17-34 ◽  
Author(s):  
N. A. Haskell
Keyword(s):  
Surface Waves ◽  
Rayleigh Waves ◽  
Matrix Formalism ◽  
Multilayered Media ◽  
Solid Media ◽  
Phase Velocity Dispersion ◽  
Phase And Group Velocities ◽  
Horizontal Heterogeneity ◽  
The Difference ◽  
Group Velocities

abstract A matrix formalism developed by W. T. Thomson is used to obtain the phase velocity dispersion equations for elastic surface waves of Rayleigh and Love type on multilayered solid media. The method is used to compute phase and group velocities of Rayleigh waves for two assumed three-layer models and one two-layer model of the earth's crust in the continents. The computed group velocity curves are compared with published values of the group velocities at various frequencies of Rayleigh waves over continental paths. The scatter of the observed values is larger than the difference between the three computed curves. It is believed that not all of this scatter is due to observational errors, but probably represents a real horizontal heterogeneity of the continental crusts.

THREE‐DIMENSIONAL SEISMIC MODEL STUDIES

Geophysics ◽  
1955 ◽  
Vol 20 (1) ◽  
pp. 19-32 ◽  
Author(s):  
F. K. Levin ◽  
H. C. Hibbard
Keyword(s):  
Wave Propagation ◽  
Surface Wave ◽  
Elastic Wave ◽  
Surface Waves ◽  
Shear Waves ◽  
Three Dimensional ◽  
Seismic Model ◽  
Model Studies ◽  
Ground Roll ◽  
Detector Configurations

Elastic wave propagation in a two‐layer section has been studied with a solid two‐bed model and records resembling seismograms obtained for the four possible source‐detector configurations. Numerous events are identified. Among these, the shear waves are found to be surprisingly prominent. The amplitude of the ground roll falls off approximately as [Formula: see text] This is the amplitude‐range dependence expected for a surface wave. The ability of two in‐line detectors to reduce surface waves has been demonstrated.

scholarly journals Resonances and Surface Waves in Elastic Wave Scattering from Cavities and Inclusions

1984 ◽  
pp. 111-121 ◽  
Author(s):  
P. P. Delsanto ◽  
J. D. Alemar ◽  
E. Rosario ◽  
J. V. Subrahmanyam ◽  
A. Nagl ◽  
...  
Keyword(s):  
Elastic Wave ◽  
Surface Waves ◽  
Wave Scattering ◽  
Elastic Wave Scattering

Acoustic Scattering Resonances: Relation to External and Internal Surface Waves

1996 ◽  
Vol 49 (10S) ◽  
pp. S63-S71 ◽  
Author(s):  
Herbert U¨berall ◽  
Alain Ge´rard ◽  
Arde´shir Guran ◽  
Jean Duclos ◽  
Mohammed El Hocine Khelil ◽  
...  
Keyword(s):  
Elastic Wave ◽  
Surface Waves ◽  
Wave Scattering ◽  
Scattering Amplitude ◽  
Acoustic Scattering ◽  
Internal Surface ◽  
Expansion Method ◽  
Complex Frequency ◽  
The Real ◽  
Elastic Wave Scattering

The resonance scattering theory (RST) and the singularity expansion method (SEM) are both based on the complex-frequency poles of the scattering amplitude in the scattering of acoustic, elastic, or electromagnetic waves from elastic or impenetrable objects, or from cavities. These poles, situated off the real frequency axis at locations with negative imaginary parts, are found to yield, at the real frequencies of the experiments, prominent resonances for acoustic and elastic-wave scattering from elastic objects as discussed in our earlier review (U¨berall et al, Appl Mech Rev43(10), 1990, 235). However, as the authors demonstrated before (U¨berall et al, J Acoust Soc Am61, 1977, 711), the origin of these resonances lies in the phase matching of circumferential or surface waves generated on the target objects during the scattering; hence a study of the resonances will lead to an understanding of, and information on these surface waves. This has been the topic of a large number of studies in recent years, and the results are summarized in the present review for immersed elastic target objects of plane, spherical, and cylindrical geometry, including both elastic-type and fluid-borne surface waves. For multilayered elastic structures, we also describe possible layer-resonance identifications based on acoustic and elastic-wave scattering experiments.

Seismic waves in a quarter plane

1969 ◽  
Vol 59 (1) ◽  
pp. 347-368
Author(s):  
Z. S. Alterman ◽  
A. Rotenberg
Keyword(s):  
Wave Propagation ◽  
Free Surface ◽  
Finite Difference ◽  
Elastic Wave ◽  
Surface Waves ◽  
Seismic Waves ◽  
Initial Pulse ◽  
Surface Conditions ◽  
Quarter Plane ◽  
Boundary Lines

Abstract The equations for elastic wave propagation are solved by a finite difference scheme for the case of an elastic quarter plane. A point-source emitting a compressional pulse is located along the diagonal inside the quarter plane. Free-surface conditions are assumed on the boundary lines, so that the problem is nonseparable. Complete theoretical seismograms for the horizontal and vertical components of displacement are obtained. The effect of different finite difference formulations for the boundary conditions and the effect of different mesh sizes are studied. Various reflected volume and surface waves are identified, corner-generated surface waves are clearly seen in the seismograms and their particle motion is studied. The amplitude of the pulse observed at the corner is three times the amplitude of the initial pulse.

scholarly journals Analytic results for roots of two irrational functions in elastic wave propagation

1998 ◽  
Vol 40 (1) ◽  
pp. 72-79 ◽  
Author(s):  
L. M. Brock
Keyword(s):  
Wave Propagation ◽  
Elastic Wave ◽  
Surface Waves ◽  
Elastic Wave Propagation ◽  
Interface Waves ◽  
Rayleigh Surface Waves ◽  
Standard Operations

AbstractThe velocities of Rayleigh surface waves and, when they exist, Stoneley interface waves can be obtained as the roots of two irrational functions. Here previous results are extended by using standard operations related to the Wiener-Hopf technique to provide expressions in quadrature for these roots.

scholarly journals Surface waves on a soft viscoelastic layer produced by an oscillating microbubble

Soft Matter ◽  
2016 ◽  
Vol 12 (18) ◽  
pp. 4247-4256 ◽  
Author(s):  
Marc Tinguely ◽  
Matthew G. Hennessy ◽  
Angelo Pommella ◽  
Omar K. Matar ◽  
Valeria Garbin
Keyword(s):  
Elastic Wave ◽  
Surface Waves ◽  
Rheological Properties ◽  
High Speed ◽  
Video Microscopy ◽  
Viscoelastic Layer ◽  
Particle Trajectories ◽  
High Speed Video ◽  
Surface Elastic Wave

An ultrasound-driven microbubble undergoing volumetric oscillations deforms a soft viscoelastic layer causing propagation of a surface elastic wave. High-speed video microscopy reveals characteristics of the elliptical particle trajectories that depend on the rheological properties of the layer.

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