Transformation from 2-D to 3-D wave propagation for horizontally layered media

Geophysics ◽  
1994 ◽  
Vol 59 (12) ◽  
pp. 1920-1926 ◽  
Author(s):  
Lasse Amundsen ◽  
Arne Reitan
Keyword(s):  
Wave Propagation ◽  
Point Source ◽  
Line Source ◽  
Layered Media ◽  
Cylindrical Symmetry ◽  
Seismic Processing ◽  
Geometric Spreading ◽  
Processing Algorithms ◽  
The Relationship ◽  
D Wave

The relationship between 2-D and 3-D wave propagation in horizontally layered media was first investigated by Dampney (1971). In the last few years the usefulness and feasibility of transforming point‐source responses with 3-D geometric spreading to equivalent line‐source responses with 2-D geometric spreading have been thoroughly discussed (see Helgesen, 1990; Wapenaar et al., 1990, 1992; Herrmann, 1992; Helgesen and Kolb, 1993; Amundsen, 1993). In the case of cylindrical symmetry this transformation constitutes a required preprocessing step for several seismic processing algorithms based on 2-D wave propagation. The work of Dampney (1971) has apparently been missed by the authors discussing the 3-D to 2-D geometric spreading transform.

Amplitude preprocessing of single and multicomponent seismic data

Geophysics ◽  
1992 ◽  
Vol 57 (9) ◽  
pp. 1178-1188 ◽  
Author(s):  
C. P. A. Wapenaar ◽  
D. J. Verschuur ◽  
P. Herrmann
Keyword(s):  
Point Source ◽  
Seismic Data ◽  
Line Source ◽  
Cylindrical Symmetry ◽  
Two Dimensions ◽  
Underlying Assumption ◽  
Seismic Processing ◽  
Acoustic Data ◽  
Elastic Data ◽  
Processing Techniques

Whenever the data acquisition is restricted to line surveys rather than areal surveys, seismic processing is necessarily in two dimensions. In this paper it is argued that two‐dimensional (2-D) processing is preferably applied after transforming the point source responses into line source responses. The effect of this transformation is a correction of the amplitudes in the data. For single‐component acoustic data as well as for multicomponent elastic data a line source response is nothing but a superposition of point source responses. Hence, in principle a line source response can be synthesized by integrating point source responses along the desired line source axis. In practice, however, this integration cannot be carried out due to the incompleteness of the data. It is shown that the integration along the source axis can be replaced by an integration along the receiver axis. The underlying assumption is that the wavefields exhibit a certain type of cylindrical symmetry. For horizontally layered acoustic and elastic media this assumption is fully satisfied. For 2-D inhomogeneous media this assumption is approximately satisfied, provided the data are sorted in CMP gathers. Having transformed the point source responses into line source responses, the results may be considered as “true amplitude” 2-D data. Hence, proceeding with existing 2-D seismic processing techniques is then justified.

Blast wave propagation in rock mass—Part II: Layered media

Fragblast ◽  
1998 ◽  
Vol 2 (1) ◽  
pp. 39-77 ◽  
Author(s):  
K. Uenishi ◽  
H. P. Rossmanith
Keyword(s):  
Wave Propagation ◽  
Rock Mass ◽  
Blast Wave ◽  
Layered Media ◽  
Mass Part ◽  
Blast Wave Propagation

Wave Propagation in Piezoelectric Layered Media with Some Applications

1991 ◽  
Vol 2 (4) ◽  
pp. 542-557 ◽  
Author(s):  
B. Honein ◽  
A.M.B. Braga ◽  
P. Barbone ◽  
G. Herrmann
Keyword(s):  
Wave Propagation ◽  
Layered Media

On the Friction Coefficient in the Numerical Simulation of Tidal Wave Propagation

2010 ◽  
Author(s):  
Z. Y. Song ◽  
C. Cheng ◽  
F. M. Xu ◽  
J. Kong
Keyword(s):  
Numerical Simulation ◽  
Wave Propagation ◽  
Friction Factor ◽  
Tidal Wave ◽  
Computational Time ◽  
Numerical Dissipation ◽  
Courant Number ◽  
Time Step ◽  
Large Time Step ◽  
The Relationship

Based on the analytical solution of one-dimensional simplified equation of damping tidal wave and Heuristic stability analysis, the precision of numerical solution, computational time and the relationship between the numerical dissipation and the friction dissipation are discussed with different numerical schemes in this paper. The results show that (1) when Courant number is less than unity, the explicit solution of tidal wave propagation has higher precision and requires less computational time than the implicit one; (2) large time step is allowed in the implicit scheme in order to reduce the computational time, but the precision of the solution also reduce and the calculation precision should be guaranteed by reducing the friction factor: (3) the friction factor in the implicit solution is related to Courant number, presented as the determined friction factor is smaller than the natural value when Courant number is larger than unity, and their relationship formula is given from the theoretical analysis and the numerical experiments. These results have important application value for the numerical simulation of the tidal wave.

Research on the Attenuation Law of Stress Wave Propagation in Concrete Media

2013 ◽  
Vol 671-674 ◽  
pp. 758-767
Author(s):  
Wei Sun ◽  
Shi Yan ◽  
Shao Fei Jiang
Keyword(s):  
Wave Propagation ◽  
Attenuation Coefficient ◽  
Polynomial Function ◽  
Piezoelectric Ceramics ◽  
Stress Waves ◽  
Stress Wave Propagation ◽  
Research Results ◽  
Cubic Polynomial ◽  
The Relationship ◽  
Main Factor

This paper presents an experimental method to investigate the attenuation performance of stress waves in concrete structures embedded in piezoelectric ceramics. To get the research objective, a series of test were hold. The relationship curve between the frequency and the attenuation coefficient was fit. The calculation method for propagation distances of stress waves with constant amplitudes and frequencies in the concrete medium was proposed. The research results show that the relationship curve of attenuation coefficient and frequency conform to the cubic polynomial function approximately. The attenuation performance for the concrete structure embedded into piezoelectric ceramics is relevant to the frequency, the amplitude and the medium character, and the frequency is the main factor. The research results of this paper can provide an effective evidence for correctly placing transducers.

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