The Characteristics of Seismic Rotations in VTI Medium

Under the assumptions of linear elasticity and small deformation in traditional elastodynamics, the anisotropy of the medium has a significant effect on rotations observed during earthquakes. Based on the basic theory of the first-order velocity-stress elastic wave equation, this paper simulates the...

Full description

Bibliographic Details
Main Authors: Lixia Sun, Yun Wang, Wei Li, Yongxiang Wei
Format: Article
Language:English
Published: MDPI AG 2021-11-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/22/10845
_version_ 1827677481052667904
author Lixia Sun
Yun Wang
Wei Li
Yongxiang Wei
author_facet Lixia Sun
Yun Wang
Wei Li
Yongxiang Wei
author_sort Lixia Sun
collection DOAJ
description Under the assumptions of linear elasticity and small deformation in traditional elastodynamics, the anisotropy of the medium has a significant effect on rotations observed during earthquakes. Based on the basic theory of the first-order velocity-stress elastic wave equation, this paper simulates the seismic wave propagation of the translational and rotational motions in two-dimensional isotropic and VTI (transverse isotropic media with a vertical axis of symmetry) media under different source mechanisms with the staggered-grid finite-difference method with respect to nine different seismological models. Through comparing the similarities and differences between the translational and rotational components of the wave fields, this paper focuses on the influence of anisotropic parameters on the amplitude and phase characteristics of the rotations. We verify that the energy of S waves in the rotational components is significantly stronger than that of P waves, and the response of rotations to the anisotropic parameters is more sensitive. There is more abundant information in the high-frequency band of the rotational components. With the increase of Thomsen anisotropic parameters ε and δ, the energy of the rotations increases gradually, which means that the rotational component observation may be helpful to the study of anisotropic parameters.
first_indexed 2024-03-10T05:43:37Z
format Article
id doaj.art-dc069f8155eb4265960b73bcf6963130
institution Directory Open Access Journal
issn 2076-3417
language English
last_indexed 2024-03-10T05:43:37Z
publishDate 2021-11-01
publisher MDPI AG
record_format Article
series Applied Sciences
spelling doaj.art-dc069f8155eb4265960b73bcf69631302023-11-22T22:19:48ZengMDPI AGApplied Sciences2076-34172021-11-0111221084510.3390/app112210845The Characteristics of Seismic Rotations in VTI MediumLixia Sun0Yun Wang1Wei Li2Yongxiang Wei3“MWMC” Group, School of Geophysics and Information Technology, China University of Geosciences, Beijing 100083, China“MWMC” Group, School of Geophysics and Information Technology, China University of Geosciences, Beijing 100083, China“MWMC” Group, School of Geophysics and Information Technology, China University of Geosciences, Beijing 100083, ChinaFujian Earthquake Agency, China Earthquake Administration, Fuzhou 350003, ChinaUnder the assumptions of linear elasticity and small deformation in traditional elastodynamics, the anisotropy of the medium has a significant effect on rotations observed during earthquakes. Based on the basic theory of the first-order velocity-stress elastic wave equation, this paper simulates the seismic wave propagation of the translational and rotational motions in two-dimensional isotropic and VTI (transverse isotropic media with a vertical axis of symmetry) media under different source mechanisms with the staggered-grid finite-difference method with respect to nine different seismological models. Through comparing the similarities and differences between the translational and rotational components of the wave fields, this paper focuses on the influence of anisotropic parameters on the amplitude and phase characteristics of the rotations. We verify that the energy of S waves in the rotational components is significantly stronger than that of P waves, and the response of rotations to the anisotropic parameters is more sensitive. There is more abundant information in the high-frequency band of the rotational components. With the increase of Thomsen anisotropic parameters ε and δ, the energy of the rotations increases gradually, which means that the rotational component observation may be helpful to the study of anisotropic parameters.https://www.mdpi.com/2076-3417/11/22/10845rotationtranslationisotropic mediumVTI
spellingShingle Lixia Sun
Yun Wang
Wei Li
Yongxiang Wei
The Characteristics of Seismic Rotations in VTI Medium
Applied Sciences
rotation
translation
isotropic medium
VTI
title The Characteristics of Seismic Rotations in VTI Medium
title_full The Characteristics of Seismic Rotations in VTI Medium
title_fullStr The Characteristics of Seismic Rotations in VTI Medium
title_full_unstemmed The Characteristics of Seismic Rotations in VTI Medium
title_short The Characteristics of Seismic Rotations in VTI Medium
title_sort characteristics of seismic rotations in vti medium
topic rotation
translation
isotropic medium
VTI
url https://www.mdpi.com/2076-3417/11/22/10845
work_keys_str_mv AT lixiasun thecharacteristicsofseismicrotationsinvtimedium
AT yunwang thecharacteristicsofseismicrotationsinvtimedium
AT weili thecharacteristicsofseismicrotationsinvtimedium
AT yongxiangwei thecharacteristicsofseismicrotationsinvtimedium
AT lixiasun characteristicsofseismicrotationsinvtimedium
AT yunwang characteristicsofseismicrotationsinvtimedium
AT weili characteristicsofseismicrotationsinvtimedium
AT yongxiangwei characteristicsofseismicrotationsinvtimedium