Seismic modeling in viscoelastic media
Abstract
Anelasticity is usually caused by a large number of physical mechanisms which can be modeled by different microstructural theories. A general way to take all these mechanisms into account is to use a phenomenologic model. Such a model which is consistent with the properties of anelastic media can be represented mechanically by a combination of springs and dashpots. A suitable system can be constructed by the parallel connection of several standard linear elements and is referred to as the general standard linear solid rheology. Two relaxation functions that describe the dilatational and shear dissipation mechanisms of the medium are needed. This model properly describes the short and long term behaviors of materials with memory and is the basis for describing viscoelastic wave propagation. This work presents twodimensional (2D) and threedimensional (3D) forward modeling in linear viscoelastic media. The theory implements Boltzmann's superposition principle based on a spectrum of relaxation mechanisms in the timedomain equation of motion by the introduction of the memory variables. The algorithm uses a polynomial interpolation of the evolution operator for time integration and the Fourier pseudospectral method for computation of the spatial derivatives. This scheme has spectral accuracy for bandlimited functions with no temporal or spatialmore »
 Authors:

 Osservatorio Geofisico Sperimentale, Trieste (Italy) Hamburg Univ. (Germany). Geophysical Inst.
 Publication Date:
 OSTI Identifier:
 5931111
 Resource Type:
 Journal Article
 Journal Name:
 Geophysics; (United States)
 Additional Journal Information:
 Journal Volume: 58:1; Journal ID: ISSN 00168033
 Country of Publication:
 United States
 Language:
 English
 Subject:
 58 GEOSCIENCES; SEISMIC SURVEYS; DATA PROCESSING; MATHEMATICAL MODELS; DATA ANALYSIS; REFLECTION; SEISMIC WAVES; THREEDIMENSIONAL CALCULATIONS; TWODIMENSIONAL CALCULATIONS; WAVE PROPAGATION; GEOPHYSICAL SURVEYS; PROCESSING; SURVEYS; 580000*  Geosciences
Citation Formats
Carcione, J M. Seismic modeling in viscoelastic media. United States: N. p., 1993.
Web. doi:10.1190/1.1443340.
Carcione, J M. Seismic modeling in viscoelastic media. United States. https://doi.org/10.1190/1.1443340
Carcione, J M. Fri .
"Seismic modeling in viscoelastic media". United States. https://doi.org/10.1190/1.1443340.
@article{osti_5931111,
title = {Seismic modeling in viscoelastic media},
author = {Carcione, J M},
abstractNote = {Anelasticity is usually caused by a large number of physical mechanisms which can be modeled by different microstructural theories. A general way to take all these mechanisms into account is to use a phenomenologic model. Such a model which is consistent with the properties of anelastic media can be represented mechanically by a combination of springs and dashpots. A suitable system can be constructed by the parallel connection of several standard linear elements and is referred to as the general standard linear solid rheology. Two relaxation functions that describe the dilatational and shear dissipation mechanisms of the medium are needed. This model properly describes the short and long term behaviors of materials with memory and is the basis for describing viscoelastic wave propagation. This work presents twodimensional (2D) and threedimensional (3D) forward modeling in linear viscoelastic media. The theory implements Boltzmann's superposition principle based on a spectrum of relaxation mechanisms in the timedomain equation of motion by the introduction of the memory variables. The algorithm uses a polynomial interpolation of the evolution operator for time integration and the Fourier pseudospectral method for computation of the spatial derivatives. This scheme has spectral accuracy for bandlimited functions with no temporal or spatial dispersion, a very important fact in anelastic wave propagation. Examples are given of how to pose typical problems of viscoelastic forward modeling for geophysical problems in two and three dimensions.},
doi = {10.1190/1.1443340},
url = {https://www.osti.gov/biblio/5931111},
journal = {Geophysics; (United States)},
issn = {00168033},
number = ,
volume = 58:1,
place = {United States},
year = {1993},
month = {1}
}