Theoretical Analysis of Longitudinal Wave Attenuation in a Stressed Rock With Variable Cross-Section
In this work, the longitudinal wave propagation in stressed rock with variable cross-section is investigated analytically. Considered the stress-sensibility of dynamic elastic modulus and the viscosity of rock, a modified viscoelastic stress-strain relationship is established. Based on the continuit...
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doaj-451f0969beb64f839cab957dd5e451eb2020-11-24T21:11:05ZengFrontiers Media S.A.Frontiers in Earth Science2296-64632019-10-01710.3389/feart.2019.00270495397Theoretical Analysis of Longitudinal Wave Attenuation in a Stressed Rock With Variable Cross-SectionWei Yuan0Jiefang Jin1Zhongqun Guo2Yue Wu3School of Architecture and Surveying Engineering, Jiangxi University of Science and Technology, Ganzhou, ChinaSchool of Architecture and Surveying Engineering, Jiangxi University of Science and Technology, Ganzhou, ChinaSchool of Architecture and Surveying Engineering, Jiangxi University of Science and Technology, Ganzhou, ChinaFaculty of Resource and Environmental Engineering, Jiangxi University of Science and Technology, Ganzhou, ChinaIn this work, the longitudinal wave propagation in stressed rock with variable cross-section is investigated analytically. Considered the stress-sensibility of dynamic elastic modulus and the viscosity of rock, a modified viscoelastic stress-strain relationship is established. Based on the continuity equation, motion equation and stress-strain relation equations, the wave propagation equation for a stressed rock with variable cross-section is obtained. The harmonic wave propagation is discussed in detail by calculating the attenuation coefficient in amplitude. The combined effects of static stress and geometry on the wave attenuation are analyzed. The results show that due to the variable static stress along the propagation path, the wave attenuation is space-dependent, and the distribution of attenuation coefficients may be remarkably different under different levels of static stress. The wave attenuation in a stressed rock with variable cross-section is also frequency-dependent, and the influence of static stress on the lower-frequency wave components is more obvious compared with that on the higher-frequency wave components. Comparing the wave attenuation among rocks with three different geometries, we conclude that the wave attenuation depends on actual normal static stress, the cross-sectional areas and the changing rates of cross-sectional area.https://www.frontiersin.org/article/10.3389/feart.2019.00270/fullwave propagationstressed rockvariable cross-sectionwave equationattenuation coefficient |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Wei Yuan Jiefang Jin Zhongqun Guo Yue Wu |
spellingShingle |
Wei Yuan Jiefang Jin Zhongqun Guo Yue Wu Theoretical Analysis of Longitudinal Wave Attenuation in a Stressed Rock With Variable Cross-Section Frontiers in Earth Science wave propagation stressed rock variable cross-section wave equation attenuation coefficient |
author_facet |
Wei Yuan Jiefang Jin Zhongqun Guo Yue Wu |
author_sort |
Wei Yuan |
title |
Theoretical Analysis of Longitudinal Wave Attenuation in a Stressed Rock With Variable Cross-Section |
title_short |
Theoretical Analysis of Longitudinal Wave Attenuation in a Stressed Rock With Variable Cross-Section |
title_full |
Theoretical Analysis of Longitudinal Wave Attenuation in a Stressed Rock With Variable Cross-Section |
title_fullStr |
Theoretical Analysis of Longitudinal Wave Attenuation in a Stressed Rock With Variable Cross-Section |
title_full_unstemmed |
Theoretical Analysis of Longitudinal Wave Attenuation in a Stressed Rock With Variable Cross-Section |
title_sort |
theoretical analysis of longitudinal wave attenuation in a stressed rock with variable cross-section |
publisher |
Frontiers Media S.A. |
series |
Frontiers in Earth Science |
issn |
2296-6463 |
publishDate |
2019-10-01 |
description |
In this work, the longitudinal wave propagation in stressed rock with variable cross-section is investigated analytically. Considered the stress-sensibility of dynamic elastic modulus and the viscosity of rock, a modified viscoelastic stress-strain relationship is established. Based on the continuity equation, motion equation and stress-strain relation equations, the wave propagation equation for a stressed rock with variable cross-section is obtained. The harmonic wave propagation is discussed in detail by calculating the attenuation coefficient in amplitude. The combined effects of static stress and geometry on the wave attenuation are analyzed. The results show that due to the variable static stress along the propagation path, the wave attenuation is space-dependent, and the distribution of attenuation coefficients may be remarkably different under different levels of static stress. The wave attenuation in a stressed rock with variable cross-section is also frequency-dependent, and the influence of static stress on the lower-frequency wave components is more obvious compared with that on the higher-frequency wave components. Comparing the wave attenuation among rocks with three different geometries, we conclude that the wave attenuation depends on actual normal static stress, the cross-sectional areas and the changing rates of cross-sectional area. |
topic |
wave propagation stressed rock variable cross-section wave equation attenuation coefficient |
url |
https://www.frontiersin.org/article/10.3389/feart.2019.00270/full |
work_keys_str_mv |
AT weiyuan theoreticalanalysisoflongitudinalwaveattenuationinastressedrockwithvariablecrosssection AT jiefangjin theoreticalanalysisoflongitudinalwaveattenuationinastressedrockwithvariablecrosssection AT zhongqunguo theoreticalanalysisoflongitudinalwaveattenuationinastressedrockwithvariablecrosssection AT yuewu theoreticalanalysisoflongitudinalwaveattenuationinastressedrockwithvariablecrosssection |
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1716754601518039040 |