Seismic Q revisited

IF 1.827 Q2 Earth and Planetary Sciences
Ayman N. Qadrouh, José M. Carcione, Mamdoh Alajmi, Jing Ba
{"title":"Seismic Q revisited","authors":"Ayman N. Qadrouh,&nbsp;José M. Carcione,&nbsp;Mamdoh Alajmi,&nbsp;Jing Ba","doi":"10.1007/s12517-025-12202-8","DOIUrl":null,"url":null,"abstract":"<div><p>This paper revisits the theories of <i>Q</i> (quality factor) as a measure of the attenuation and velocity dispersion of a wave field. <i>Q</i> is a dimensionless measure of energy loss per cycle, and a proper understanding is important in a variety of fields, from seismology, geophysical prospecting to acoustics of materials. Measurements for standing modes and propagating waves differ and yield the temporal and spatial <i>Q</i>, respectively. This distinction is largely ignored in the literature. The relationship between these <i>Q</i>s is investigated for a power-law stress–strain relation based on spatial fractional derivatives that describes the behavior of compressional waves when combined with the conservation of momentum equation. In addition, the relationship between the quality factors for low-loss media proposed by Knopoff et al. 60 years ago is verified.</p></div>","PeriodicalId":476,"journal":{"name":"Arabian Journal of Geosciences","volume":"18 2","pages":""},"PeriodicalIF":1.8270,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Arabian Journal of Geosciences","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s12517-025-12202-8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Earth and Planetary Sciences","Score":null,"Total":0}
引用次数: 0

Abstract

This paper revisits the theories of Q (quality factor) as a measure of the attenuation and velocity dispersion of a wave field. Q is a dimensionless measure of energy loss per cycle, and a proper understanding is important in a variety of fields, from seismology, geophysical prospecting to acoustics of materials. Measurements for standing modes and propagating waves differ and yield the temporal and spatial Q, respectively. This distinction is largely ignored in the literature. The relationship between these Qs is investigated for a power-law stress–strain relation based on spatial fractional derivatives that describes the behavior of compressional waves when combined with the conservation of momentum equation. In addition, the relationship between the quality factors for low-loss media proposed by Knopoff et al. 60 years ago is verified.

地震Q重测
本文回顾了Q(质量因子)作为波场衰减和速度色散的度量的理论。Q是每周期能量损失的无量纲度量,正确的理解在从地震学、地球物理勘探到材料声学等各个领域都很重要。驻模和传播波的测量值不同,分别产生时间和空间Q。这一区别在文献中基本上被忽略了。结合动量守恒方程,研究了基于空间分数阶导数的幂律应力-应变关系,该关系描述了纵波的行为。此外,还验证了60年前Knopoff等人提出的低损耗介质质量因子之间的关系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
Arabian Journal of Geosciences
Arabian Journal of Geosciences GEOSCIENCES, MULTIDISCIPLINARY-
自引率
0.00%
发文量
1587
审稿时长
6.7 months
期刊介绍: The Arabian Journal of Geosciences is the official journal of the Saudi Society for Geosciences and publishes peer-reviewed original and review articles on the entire range of Earth Science themes, focused on, but not limited to, those that have regional significance to the Middle East and the Euro-Mediterranean Zone. Key topics therefore include; geology, hydrogeology, earth system science, petroleum sciences, geophysics, seismology and crustal structures, tectonics, sedimentology, palaeontology, metamorphic and igneous petrology, natural hazards, environmental sciences and sustainable development, geoarchaeology, geomorphology, paleo-environment studies, oceanography, atmospheric sciences, GIS and remote sensing, geodesy, mineralogy, volcanology, geochemistry and metallogenesis.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信