{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,30]],"date-time":"2025-10-30T01:42:07Z","timestamp":1761788527244,"version":"build-2065373602"},"reference-count":78,"publisher":"MDPI AG","issue":"13","license":[{"start":{"date-parts":[[2023,6,29]],"date-time":"2023-06-29T00:00:00Z","timestamp":1687996800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China (NNSFC)","doi-asserted-by":"publisher","award":["42230207","CEAIEF20230401"],"award-info":[{"award-number":["42230207","CEAIEF20230401"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Basal Research Fund of Institute of Earthquake Forecasting, China Earthquake Administration","award":["42230207","CEAIEF20230401"],"award-info":[{"award-number":["42230207","CEAIEF20230401"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>Recently, atmospheric perturbations residing over around epicenters of forthcoming earthquakes were remotely sensed by the multiple instruments of the MVP-LAI (Monitoring of Vibrations and Perturbations in Lithosphere, Atmosphere and Ionosphere) system. In this study, we found another way and proposed a theory for the evolution of the perturbations in the atmosphere from the aspect of numerical simulation. We started from the fundamental hydromechanics equations for the perturbations based on the atmospheric dynamics in the cylindrical symmetric coordinate to solve their analytical solution. The solution shows that a persistent vibration at the bottom of the cylindrical symmetric coordinate tends to decay exponentially with along altitude. In other words, a persistent ground vibration in a wide area can rapidly evolve into small-scale perturbations in the atmosphere. The preliminary theoretical model in this study shows the kernel concept for the coupling of geospheres.<\/jats:p>","DOI":"10.3390\/rs15133336","type":"journal-article","created":{"date-parts":[[2023,6,30]],"date-time":"2023-06-30T01:02:41Z","timestamp":1688086961000},"page":"3336","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Numerical Solution of the Atmospheric Perturbations Triggered by Persistent Lithospheric Vibrations"],"prefix":"10.3390","volume":"15","author":[{"given":"Kai","family":"Lin","sequence":"first","affiliation":[{"name":"School of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6538-2703","authenticated-orcid":false,"given":"Zhiqiang","family":"Mao","sequence":"additional","affiliation":[{"name":"School of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ziniu","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7393-8281","authenticated-orcid":false,"given":"Lei","family":"Dong","sequence":"additional","affiliation":[{"name":"Institute of Earthquake Forecasting, China Earthquake Administration, Beijing 100036, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7462-4463","authenticated-orcid":false,"given":"Xuemin","family":"Zhang","sequence":"additional","affiliation":[{"name":"Institute of Earthquake Forecasting, China Earthquake Administration, Beijing 100036, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yongxin","family":"Gao","sequence":"additional","affiliation":[{"name":"Applied Institute of Mechanics, School of Civil Engineering, Hefei University of Technology, Hefei 230009, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5440-2142","authenticated-orcid":false,"given":"Chieh-Hung","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,6,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"395","DOI":"10.5194\/angeo-19-395-2001","article-title":"The shock-acoustic waves generated by earthquakes","volume":"19","author":"Afraimovich","year":"2001","journal-title":"Ann. 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