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Effects of Induced Stress on Seismic Waves: Validation Based on Ab Initio Calculations
When a continuum is subjected to an induced stress, the equations that govern seismic wave propagation are modified in two ways. First, the equation of conservation of linear momentum gains terms related to the induced deviatoric stress, and, second, the elastic constitutive relationship acquires te...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
John Wiley and Sons Inc.
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6472332/ https://www.ncbi.nlm.nih.gov/pubmed/31008000 http://dx.doi.org/10.1029/2018JB016778 |
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author | Tromp, Jeroen Marcondes, Michel L. Wentzcovitch, Renata M. M. Trampert, Jeannot |
author_facet | Tromp, Jeroen Marcondes, Michel L. Wentzcovitch, Renata M. M. Trampert, Jeannot |
author_sort | Tromp, Jeroen |
collection | PubMed |
description | When a continuum is subjected to an induced stress, the equations that govern seismic wave propagation are modified in two ways. First, the equation of conservation of linear momentum gains terms related to the induced deviatoric stress, and, second, the elastic constitutive relationship acquires terms linear in the induced stress. This continuum mechanics theory makes testable predictions with regard to stress‐induced changes in the elastic tensor. Specifically, it predicts that induced compression linearly affects the prestressed moduli with a slope determined by their local adiabatic pressure derivatives and that induced deviatoric stress produces anisotropic compressional and shear wave speeds. In this article we successfully compare such predictions against ab initio mineral physics calculations for NaCl and MgO. |
format | Online Article Text |
id | pubmed-6472332 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | John Wiley and Sons Inc. |
record_format | MEDLINE/PubMed |
spelling | pubmed-64723322019-04-19 Effects of Induced Stress on Seismic Waves: Validation Based on Ab Initio Calculations Tromp, Jeroen Marcondes, Michel L. Wentzcovitch, Renata M. M. Trampert, Jeannot J Geophys Res Solid Earth Research Articles When a continuum is subjected to an induced stress, the equations that govern seismic wave propagation are modified in two ways. First, the equation of conservation of linear momentum gains terms related to the induced deviatoric stress, and, second, the elastic constitutive relationship acquires terms linear in the induced stress. This continuum mechanics theory makes testable predictions with regard to stress‐induced changes in the elastic tensor. Specifically, it predicts that induced compression linearly affects the prestressed moduli with a slope determined by their local adiabatic pressure derivatives and that induced deviatoric stress produces anisotropic compressional and shear wave speeds. In this article we successfully compare such predictions against ab initio mineral physics calculations for NaCl and MgO. John Wiley and Sons Inc. 2019-01-23 2019-01 /pmc/articles/PMC6472332/ /pubmed/31008000 http://dx.doi.org/10.1029/2018JB016778 Text en ©2019. The Authors. This is an open access article under the terms of the http://creativecommons.org/licenses/by-nc-nd/4.0/ License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non‐commercial and no modifications or adaptations are made. |
spellingShingle | Research Articles Tromp, Jeroen Marcondes, Michel L. Wentzcovitch, Renata M. M. Trampert, Jeannot Effects of Induced Stress on Seismic Waves: Validation Based on Ab Initio Calculations |
title | Effects of Induced Stress on Seismic Waves: Validation Based on Ab Initio Calculations |
title_full | Effects of Induced Stress on Seismic Waves: Validation Based on Ab Initio Calculations |
title_fullStr | Effects of Induced Stress on Seismic Waves: Validation Based on Ab Initio Calculations |
title_full_unstemmed | Effects of Induced Stress on Seismic Waves: Validation Based on Ab Initio Calculations |
title_short | Effects of Induced Stress on Seismic Waves: Validation Based on Ab Initio Calculations |
title_sort | effects of induced stress on seismic waves: validation based on ab initio calculations |
topic | Research Articles |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6472332/ https://www.ncbi.nlm.nih.gov/pubmed/31008000 http://dx.doi.org/10.1029/2018JB016778 |
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