Computation of multi-attribute seismic wavefields by solution of the elastodynamic equations

1992 ◽  
Vol 82 (2) ◽  
pp. 1134-1143
Author(s):  
How-Wei Chen ◽  
George A. McMechan
Keyword(s):  
Shear Stress ◽  
Particle Acceleration ◽  
Wave Equations ◽  
Layered Medium ◽  
Normal Strain ◽  
Particle Displacement ◽  
Seismic Modeling ◽  
Wave Fields ◽  
Single Piece ◽  
Explosive Source

Abstract By using the elastodynamic equations rather than wave equations for seismogram synthesis, multi-attribute wave fields can be computed in a single execution of one program. In the present implementation, for 2-D models, the wave fields and seismograms produced include any or all of the following: two components of each of particle acceleration, particle velocity, and particle displacement; two components of normal strain; shear strain; two components of normal stress; shear stress; and the dilatation and curl of the particle displacement. If flexible source and receiver configurations are also included, a single piece of software can be used for most seismic modeling applications. This significantly reduces the need for development and maintenance of separate programs. The algorithm is illustrated using waves synthesized for an explosive source in a layered medium. Snapshots and seismograms at both surface and borehole arrays are presented.

Calculation of complete seismograms for an explosive source in a layered medium

Geophysics ◽  
1980 ◽  
Vol 45 (2) ◽  
pp. 197-203 ◽  
Author(s):  
Michel Bouchon
Keyword(s):  
Elastic Wave ◽  
Layered Medium ◽  
Plane Waves ◽  
Three Dimensional ◽  
Synthetic Seismograms ◽  
Two Dimensional ◽  
Wave Fields ◽  
Source Radiation ◽  
Explosive Source ◽  
Periodic Arrangement

We apply the method of discrete wavenumber representation of elastic wave fields of Bouchon and Aki (1977) to the computation of synthetic seismograms for an explosive source in a layered medium. The method is based on the representation of the source radiation by a superposition of plane waves propagating in discrete directions. This discretization is exact and results from a periodic arrangement of sources. The two‐dimensional (2-D) and three‐dimensional (3-D) problems are described, and some examples of calculation are presented. They show that very complex seismograms can be obtained for rather simple geologic structures.

APPLICATION OF THE INTEGRAL LAGUERRE TRANSFORMS FOR FORWARD SEISMIC MODELING

2001 ◽  
Vol 09 (04) ◽  
pp. 1523-1541 ◽  
Author(s):  
G. V. KONYUKH ◽  
B. G. MIKHAILENKO ◽  
A. A. MIKHAILOV
Keyword(s):  
Layered Medium ◽  
Heterogeneous Medium ◽  
Efficient Algorithms ◽  
Second Order ◽  
Seismic Modeling ◽  
Elastic Parameters ◽  
Laguerre Transform ◽  
Medium Model ◽  
Second Order Equations

The paper presents some efficient algorithms based on the application of the integral Laguerre transform for approximation of temporal derivatives. Some specific features of employing this algorithm for the first and the second order equations with respect to time are considered. A few examples of calculation of seismic fields for the layered medium model with drastically contrast elastic parameters and for the 2-D heterogeneous medium model are presented.

On the Viscous Models for Wave Propagation in Solid Loaded with Viscous Liquid

1999 ◽  
Vol 15 (3) ◽  
pp. 103-108
Author(s):  
M.-P. Chang ◽  
T.T. Wu
Keyword(s):  
Wave Propagation ◽  
Viscous Liquid ◽  
Wave Equations ◽  
Layered Medium ◽  
Viscous Liquids ◽  
Surface Wave Propagation ◽  
Stress Components ◽  
Viscous Models ◽  
Dispersion And Attenuation ◽  
Elastic Coefficients

AbstractRecently, in the fields of biosensing and nondestructive of materials, there are increasing interests on the investigations of the surface wave propagation in fluid loaded layered medium. Several different models for the elastic coefficients of viscous liquids are usually adopted in the investigations. The purpose of this paper is to study the variations of choosing different viscous liquid models on the dispersion and attenuation of waves in liquid loaded solids. In the paper, a derivation of the elastic coefficients of a viscous liquid based on the Stokes' assumption is given first. Then, for the hypothetical solid assumption of a viscous liquid, the associated wave equations and expressions of the stress components for different viscous liquid models utilized in the literatures are given. Finally, dispersion and attenuation of waves in a viscous liquid loaded A1 half space and a SiC plate immersed in a viscous liquid are calculated and utilized to discuss the differences among these four different models.

A Shear-Stress Normal-Strain Cycle Relation to Fatigue in Bending, Torsion, and Rolling Contact

1970 ◽  
Vol 92 (4) ◽  
pp. 567-571 ◽  
Author(s):  
John Lyman
Keyword(s):  
Shear Stress ◽  
Stress Condition ◽  
Ball Bearing ◽  
High Strength ◽  
Rolling Contact ◽  
Normal Strain ◽  
Stress Cycle ◽  
Plastic Deformations ◽  
Strain Cycle ◽  
Prior Analysis

Previous work [4] has suggested a shear stress normal strain “potential” as a means of relating stress condition to fatigue of high-strength low-allow steels. Experimental data here permits the rationalization of the theory required in the prior analysis to be supported directly. An attempt is made to relate highly directed plastic deformations that have been observed in SKF 6309 ball bearing inner rings to directed shear-stress normal-strain configurations of the complex triaxial rolling contact stress cycle in the principal plane of rolling.

scholarly journals Particle Acceleration in Spherical Wave Fields

1992 ◽  
Vol 128 ◽  
pp. 109-111
Author(s):  
K. O. Thielheim
Keyword(s):  
Particle Acceleration ◽  
Dipole Moment ◽  
Angular Velocity ◽  
Neutron Stars ◽  
Magnetic Dipole ◽  
Magnetic Dipole Moment ◽  
Spherical Wave ◽  
Particle Accelerator ◽  
Dynamic Features ◽  
Wave Fields

A magnet rotating in vacuo with its vector of angular velocity ω perpendicular to its vector of magnetic dipole moment μ is able to act as a particle accelerator. The dynamic features involved may be relevant for the understanding of rotating magnetized neutron stars as cosmic accelerators (Thielheim 1989) and may be useful for the designing of new mechanisms for accelerating devices.

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