scholarly journals Adjoint Numerical Method for the Identification of the Lamé Coefficients in Linear Elastic Wave Field

2004 ◽  
Vol 7 ◽  
pp. 167-174
Author(s):  
Kenji SHIROTA ◽  
Michihiro KITAHARA
Keyword(s):  
Elastic Wave ◽  
Numerical Method ◽  
Wave Field ◽  
Linear Elastic

Rotational component of an elastic wave field in the near zone of a point source on the surface

1991 ◽  
Vol 32 (3) ◽  
pp. 423-426 ◽  
Author(s):  
V. A. Kozlov ◽  
V. M. Matveev ◽  
N. V. Pet'kin ◽  
D. N. Romashko
Keyword(s):  
Elastic Wave ◽  
Point Source ◽  
Wave Field ◽  
Rotational Component ◽  
Near Zone

Simulating the Fracture Wave Field Characteristics Using Finite Element Method of the Anisotropic Elastic Wave

2011 ◽  
Vol 109 ◽  
pp. 244-247
Author(s):  
De Yi Yang
Keyword(s):  
Numerical Simulation ◽  
Finite Element Method ◽  
Finite Element ◽  
Elastic Wave ◽  
Wave Field ◽  
Model Theory ◽  
Fracture Detection ◽  
Important Sense ◽  
Anisotropic Elastic ◽  
Element Method

This paper introduced the Liner slip deformation (LSD) fracture media model theory, and this theory is applied into the two component numerical simulation in HTI(LSD) media using the finite element method of the anisotropic elastic wave. By means of the numerical simulation paper revealed the wave field characteristics of the fracture parameters. The conclusion has an important sense for the application of the LSD fracture media model theory in the field of fracture detection and detection of fracture containing fluid.

Exact Green’s functions using leaking modes for axisymmetric boreholes in solid elastic media

Geophysics ◽  
1989 ◽  
Vol 54 (5) ◽  
pp. 609-620 ◽  
Author(s):  
R. A. W. Haddon
Keyword(s):  
Wave Propagation ◽  
Fourier Transform ◽  
Elastic Wave ◽  
Fast Fourier Transform ◽  
Numerical Method ◽  
Green's Functions ◽  
Green’S Functions ◽  
Elastic Media ◽  
Complex Frequency ◽  
Residue Theory

By choosing appropriate paths of integration in both the complex frequency ω and complex wavenumber k planes, exact Green’s functions for elastic wave propagation in axisymmetric fluid‐filled boreholes in solid elastic media are expressed completely as sums of modes. There are no contributions from branch line integrals. The integrations with respect to k are performed exactly using Cauchy residue theory. The remaining integrations with respect to ω are then carried out partly by using the fast Fourier transform (FFT) and partly by using another numerical method. Provided that the number of points in the FFT can be taken sufficiently large, there are no restrictions on distance. The method is fast, accurate, and easy to apply.

Elastic wave field decomposition of offset VSP data

1986 ◽  
Author(s):  
Douglas J. Foster ◽  
James E. Gaiser
Keyword(s):  
Elastic Wave ◽  
Wave Field ◽  
Vsp Data

SCATTERING OF ELASTIC WAVES BY SMALL INHOMOGENEITIES

Geophysics ◽  
1960 ◽  
Vol 25 (3) ◽  
pp. 642-648 ◽  
Author(s):  
John W. Miles
Keyword(s):  
Shear Modulus ◽  
Elastic Wave ◽  
Wave Field ◽  
General Result ◽  
Elastic Waves ◽  
Isotropic Medium ◽  
Scattering Theory ◽  
Rayleigh Scattering ◽  
S Waves ◽  
Scattering Of Elastic Waves

Rayleigh scattering theory is extended to determine the perturbation on an arbitrarily prescribed elastic wave field produced by small inhomogeneities in an otherwise homogeneous, isotropic medium. The general result is applied to the specific problems of the scattering of both plane P- and S-waves. It is found that a change in compressibility acts at a distance as a simple source and a change in density as a dipole, as in the acoustical problem, while a change in shear modulus contributes both simple‐source and quadrapole fields.

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