Oblique reflection of a nonlinear P wave from the boundary of an elastic half-space

1991 ◽  
Vol 89 (6) ◽  
pp. 2652-2662 ◽  
Author(s):  
K. T. Shu ◽  
Jerry H. Ginsberg
Keyword(s):  
Half Space ◽  
Elastic Half Space ◽  
P Wave ◽  
Oblique Reflection

Wave Scattering by Crack Under Shock P-Wave in an Elastic Half-Space

2021 ◽  
Author(s):  
Hai Zhang ◽  
Tianyu Zhao ◽  
Dai Wang ◽  
Qiang Pei ◽  
Ying Xu ◽  
...  
Keyword(s):  
Half Space ◽  
Wave Scattering ◽  
Elastic Half Space ◽  
P Wave

SCATTERING OF A TRANSIENT, SPHERICAL P WAVE BY A RANDOMLY INHOMOGENEOUS, ELASTIC HALF‐SPACE

Geophysics ◽  
1969 ◽  
Vol 34 (3) ◽  
pp. 357-382 ◽  
Author(s):  
John W. Dunkin
Keyword(s):  
Half Space ◽  
Rayleigh Scattering ◽  
Input Pulse ◽  
Elastic Half Space ◽  
P Wave ◽  
Weighted Sums ◽  
S Waves ◽  
Statistical Correlations ◽  
Partial Correlations ◽  
The Times

Random inhomogeneities in an elastic half‐space generate scattered P and S waves when excited by a spherical P wave initiated at the surface. The scattered energy can be characterized by statistical correlations of the displacement components at two receivers on the free surface. Based on the assumptions of far‐field Rayleigh scattering, a simple perturbation theory, and the neglection of boundary effects, simple expressions can be obtained for the correlations. They are composed of weighted sums of partial correlations which are associated with combinations of P and S waves arriving at the two receivers. The partial correlations depend on the times at the two receivers, the distance between the source and the receivers, and the separation between the receivers. The weighting factors depend on the statistical properties of the random elastic parameters. Although the analysis is carried out for an impulsive source, the correlations for a more general source can be found by performing a single convolution. If the transient input pulse is appropriately prefiltered before convolution, the effects of energy loss during propagation can be taken into account, approximately.

Radiation characteristics of elastodynamic line sources buried in layered media with periodic interfaces. II. P- and SV-wave analysis

1987 ◽  
Vol 77 (6) ◽  
pp. 2192-2211
Author(s):  
Vijay K. Varadan ◽  
Akhlesh Lakhtakia ◽  
Vasundara V. Varadan ◽  
Charles A. Langston
Keyword(s):  
Half Space ◽  
Elastic Plate ◽  
Matrix Method ◽  
Scattering Problem ◽  
Finite Size ◽  
Layered Media ◽  
Elastic Half Space ◽  
P Wave ◽  
Radiation Characteristics ◽  
T Matrix

Abstract A method for determining for determining the elastodynamic (P and SV waves) radiation characteristics of finite-size sources buried in horizontally layered media, having periodically corrugated interfaces, is described. In particular, the example problem chosen to illustrate the procedure is as follows: a solid plate lies on top of a solid half-space; the solid-solid interface has been taken to be planar, but traction-free conditions prevail on the other boundary of the elastic plate, which surface is also periodically corrugated; and the source has been taken to be an isotropic, P-wave line source located inside the elastic plate. The technique presented utilizes the plane wave spectral decomposition of the relevant fields within the framework of the extended boundary condition method or the T matrix method. Since the T-matrix method is a matrix approach, it is very attractive computationally and is certainly more tractable than a method based on the direct solution of the integral equations involved in the scattering problem. Numerical results are given to delineate the various features of the field diffracted into the elastic half-space, as well as the displacement field induced on the traction-free boundary of the elastic plate. The specific example examined is directly related to regional wave propagation in a continental crustal wave guide.

The efficiency of application of virtual cross-sections method and hypotheses MELS in problems of wave signal propagation in elastic waveguides with rough surfaces

2016 ◽  
pp. 3564-3575 ◽  
Author(s):  
Ara Sergey Avetisyan
Keyword(s):  
Half Space ◽  
Cross Sections ◽  
Classical Method ◽  
Signal Propagation ◽  
Elastic Half Space ◽  
Layered Systems ◽  
Surface Layers ◽  
Inhomogeneous Surface ◽  
Wave Signal ◽  
The Impact

The efficiency of virtual cross sections method and MELS (Magneto Elastic Layered Systems) hypotheses application is shown on model problem about distribution of wave field in thin surface layers of waveguide when plane wave signal is propagating in it. The impact of surface non-smoothness on characteristics of propagation of high-frequency horizontally polarized wave signal in isotropic elastic half-space is studied. It is shown that the non-smoothness leads to strong distortion of the wave signal over the waveguide thickness and along wave signal propagation direction as well.  Numerical comparative analysis of change in amplitude and phase characteristics of obtained wave fields against roughness of weakly inhomogeneous surface of homogeneous elastic half-space surface is done by classical method and by proposed approach for different kind of non-smoothness.

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