Wave Propagation and Inversion in Shallow Water and Poro-elastic Sediment

1997 ◽  
Author(s):  
Steven A. Johnson ◽  
James W. Wiskin
Keyword(s):  
Wave Propagation ◽  
Shallow Water ◽  
And Inversion

A multi-layer model for nonlinear internal wave propagation in shallow water

2012 ◽  
Vol 695 ◽  
pp. 341-365 ◽  
Author(s):  
Philip L.-F. Liu ◽  
Xiaoming Wang
Keyword(s):  
Wave Propagation ◽  
Internal Wave ◽  
Shallow Water ◽  
Internal Waves ◽  
Bottom Topography ◽  
Laboratory Data ◽  
Constant Density ◽  
Layer Model ◽  
Fluid System ◽  
Nonlinear Internal Wave

AbstractIn this paper, a multi-layer model is developed for the purpose of studying nonlinear internal wave propagation in shallow water. The methodology employed in constructing the multi-layer model is similar to that used in deriving Boussinesq-type equations for surface gravity waves. It can also be viewed as an extension of the two-layer model developed by Choi & Camassa. The multi-layer model approximates the continuous density stratification by an $N$-layer fluid system in which a constant density is assumed in each layer. This allows the model to investigate higher-mode internal waves. Furthermore, the model is capable of simulating large-amplitude internal waves up to the breaking point. However, the model is limited by the assumption that the total water depth is shallow in comparison with the wavelength of interest. Furthermore, the vertical vorticity must vanish, while the horizontal vorticity components are weak. Numerical examples for strongly nonlinear waves are compared with laboratory data and other numerical studies in a two-layer fluid system. Good agreement is observed. The generation and propagation of mode-1 and mode-2 internal waves and their interactions with bottom topography are also investigated.

Experimental study of ultra shallow water acoustic wave propagation

2015 ◽  
Vol 137 (4) ◽  
pp. 2440-2440
Author(s):  
Konstantin Dmitriev ◽  
Alisa Dorofeeva ◽  
Sergei Sergeev
Keyword(s):  
Experimental Study ◽  
Wave Propagation ◽  
Acoustic Wave ◽  
Shallow Water ◽  
Acoustic Wave Propagation

scholarly journals A STEADY-STATE WAVE MODEL FOR COASTAL APPLICATIONS

1988 ◽  
Vol 1 (21) ◽  
pp. 69 ◽  
Author(s):  
Donald T. Resio
Keyword(s):  
Wave Propagation ◽  
Steady State ◽  
Shallow Water ◽  
Water Wave ◽  
Wave Model ◽  
Spectral Model ◽  
Good Representation ◽  
Full Time ◽  
Wind Effects ◽  
Time Stepping

A steady-state spectral model is presented. This model produces a solution equivalent to a full time-stepping spectral model, but at much reduced computational times. Comparisons shown here demonstrate that the spectral model provides a good representation of shallow-water wave propagation phenomena and that wind effects can significantly influence near-coast wave conditions.

scholarly journals A new acoustic assumption for orthorhombic media

2020 ◽  
Vol 223 (2) ◽  
pp. 1118-1129
Author(s):  
Mohammad Mahdi Abedi ◽  
Alexey Stovas
Keyword(s):  
Wave Propagation ◽  
Conventional Approach ◽  
P Wave ◽  
Model Parameters ◽  
Governing Equations ◽  
S Wave ◽  
S Waves ◽  
Exploration Seismology ◽  
And Inversion ◽  
Approximate Equations

SUMMARY In exploration seismology, the acquisition, processing and inversion of P-wave data is a routine. However, in orthorhombic anisotropic media, the governing equations that describe the P-wave propagation are coupled with two S waves that are considered as redundant noise. The main approach to free the P-wave signal from the S-wave noise is the acoustic assumption on the wave propagation. The conventional acoustic assumption for orthorhombic media zeros out the S-wave velocities along three orthogonal axes, but leaves significant S-wave artefacts in all other directions. The new acoustic assumption that we propose mitigates the S-wave artefacts by zeroing out their velocities along the three orthogonal symmetry planes of orthorhombic media. Similar to the conventional approach, our method reduces the number of required model parameters from nine to six. As numerical experiments on multiple orthorhombic models show, the accuracy of the new acoustic assumption also compares well to the conventional approach. On the other hand, while the conventional acoustic assumption simplifies the governing equations, the new acoustic assumption further complicates them—an issue that emphasizes the necessity of simple approximate equations. Accordingly, we also propose simpler rational approximate phase-velocity and eikonal equations for the new acoustic orthorhombic media. We show a simple ray tracing example and find out that the proposed approximate equations are still highly accurate.

Sign in / Sign up

Export Citation Format

Share Document