WAVE PROPAGATION IN A LIQUID LAYER

Geophysics ◽  
1959 ◽  
Vol 24 (4) ◽  
pp. 658-666 ◽  
Author(s):  
D. T. Liu
Keyword(s):  
Wave Propagation ◽  
Wave Equation ◽  
Pressure Wave ◽  
Wave Length ◽  
Water Layer ◽  
Fundamental Wave ◽  
Ray Theory ◽  
Seismic Record ◽  
Amplitude Response ◽  
Oscillatory Phenomenon

In many areas offshore, the conventional seismic record has the appearance of a series of sine waves or simple odd harmonic combinations of sine waves, with a fundamental wave length four times the water depth. Burg, et al., in a ray theory treatment, ascribe this oscillatory phenomenon to guided energy traveling in the water layer. A solution of the pressure wave equation for a point source in the water layer has been obtained. It allows one to examine not only the frequency dependence with the depth, but also the transient amplitude response with depth and time. It is concluded that in most actual situations, the phenomenon cannot be wholly explained by the assumed mechanism, because the theory indicates too rapid a decay of the energy.

Bifurcation and Stability Analysis of Parabolic Ray Equations for Acoustic Wave Propagation in an Underwater Sound Channel

1995 ◽  
Author(s):  
Marian Wiercigroch ◽  
Mohsen Badiey ◽  
Jeffrey Simmen ◽  
Alexander H.-D. Cheng
Keyword(s):  
Wave Propagation ◽  
Acoustic Wave ◽  
Wave Length ◽  
Single Mode ◽  
Ray Theory ◽  
Underwater Sound ◽  
Acoustic Wave Propagation ◽  
Sound Channel ◽  
Underwater Sound Channel ◽  
Bifurcation And Stability

Abstract The non-linear dynamic behavior of acoustic wave propagation in underwater sound channel is studied by a parabolic ray theory using Munk’s sound speed profile. The Hamiltonian system of the ray trajectory is forced by a single mode sinusoidal internal wave. The amplitude and wave length of this excitation are used in a bifurcation analysis. The regions of instability are located by numerical simulations and visualized through a sequence of phase diagrams and Poincaré maps.

Whistler wave propagation in density ducts

1982 ◽  
Vol 27 (2) ◽  
pp. 225-238 ◽  
Author(s):  
V. I. Karpman ◽  
R. N. Kaufman
Keyword(s):  
Wave Propagation ◽  
Maxwell Equations ◽  
Wave Attenuation ◽  
Wave Length ◽  
Whistler Wave ◽  
Analytical Theory ◽  
Ray Theory ◽  
Axially Symmetric ◽  
Symmetric Density ◽  
Attenuation Rate

A theory of whistler wave propagation in axially symmetric density ducts is developed. Both density crests and troughs are considered. The duct width is assumed to be large compared with the parallel wave length. All considerations are based on the Maxwell equations. A number of effects that are not included in the ray theory and (or) the Schrödinger-type equations are elucidated. Among them is whistler detrapping from a density crest at ω < ½ωH. An analytical theory of the detrapping is developed and the corresponding wave attenuation rate in the duct is calculated.

About one algorithm of pressure wave propagation velocity identification in the main oil pipeline and its realization features

2017 ◽  
Vol 7 (4) ◽  
pp. 17-25
Author(s):  
Rustam Z. Sunagatullin ◽  
◽  
Andrey V. Kudritskiy ◽  
Igor S. Simonov ◽  
Aleksandr M. Samusenko ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Propagation Velocity ◽  
Pressure Wave ◽  
Wave Propagation Velocity ◽  
Oil Pipeline ◽  
Main Oil Pipeline

scholarly journals Pressure wave propagation in a granular bed

2005 ◽  
Vol 72 (3) ◽  
Author(s):  
Stephen R. Hostler ◽  
Christopher E. Brennen
Keyword(s):  
Wave Propagation ◽  
Pressure Wave ◽  
Granular Bed

scholarly journals Pressure wave propagation in bubbly liquid.

1990 ◽  
Vol 56 (525) ◽  
pp. 1237-1243
Author(s):  
Yoichro MATSUMOTO ◽  
Hideji NISHIKAWA ◽  
Hideo OHASHI
Keyword(s):  
Wave Propagation ◽  
Pressure Wave ◽  
Bubbly Liquid

Period equation for Rayleigh waves in a layer overlying a half space with a sinusoidal interface

1962 ◽  
Vol 52 (4) ◽  
pp. 807-822 ◽  
Author(s):  
John T. Kuo ◽  
John E. Nafe
Keyword(s):  
Wave Propagation ◽  
Boundary Conditions ◽  
Half Space ◽  
Rayleigh Waves ◽  
Wave Length ◽  
Linear Equations ◽  
Wave Number ◽  
Interface Plane ◽  
Period Equation ◽  
Phase And Group Velocities

abstract The problem of the Rayleigh wave propagation in a solid layer overlying a solid half space separated by a sinusoidal interface is investigated. The amplitude of the interface is assumed to be small in comparison to the average thickness of the layer or the wave length of the interface. Either by applying Rayleigh's approximate method or by perturbating the boundary conditions at the sinusoidal interface, plane wave solutions for the equations which satisfy the given boundary conditions are found to form a system of linear equations. These equations may be expressed in a determinant form. The period (or characteristic) equations for the first and second approximation of the wave number k are obtained. The phase and group velocities of Rayleigh waves in the present case depend upon both frequency and distance. At a given point on the surface, there is a local phase and local group velocity of Rayleigh waves that is independent of the direction of wave propagation.

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