{"title":"层状微极半空间中埋藏源的数学模型","authors":"Mohammad Atif, S. T. G. Raghukanth, S. R. Manam","doi":"10.1007/s00024-024-03571-4","DOIUrl":null,"url":null,"abstract":"<div><p>The dependency of rotations on translations in the classical elastic theory and the mismatched experimental rotations to the theoretical one leads to the exploration of the reduced micropolar theory. A mathematical model is presented for the response of a layered reduced micropolar half-space subjected to a seismic buried source. In this study, the Cartesian coordinate system is used to derive the proposed formulation, which is helpful to understand the effect of extended seismic sources. In the sequel, full space solutions are derived subjected to impulsive seismic moment tensor in the reduced micropolar medium. The numerical results for the multilayered medium are presented for the point sources, and obtained rotations in the layered reduced micropolar half-space (L-RMHS) are high from the layered elastic half-space (L-EHS). The response in homogeneous reduced micropolar half-space (H-RMHS) is comparatively low compared to the L-RMHS for point sources and as well for finite-fault. The rotational faulting effect is found to be negligible in the far-field region.</p></div>","PeriodicalId":21078,"journal":{"name":"pure and applied geophysics","volume":"181 12","pages":"3507 - 3538"},"PeriodicalIF":1.9000,"publicationDate":"2024-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A mathematical model for a buried source in the layered reduced micropolar half-space\",\"authors\":\"Mohammad Atif, S. T. G. Raghukanth, S. R. Manam\",\"doi\":\"10.1007/s00024-024-03571-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The dependency of rotations on translations in the classical elastic theory and the mismatched experimental rotations to the theoretical one leads to the exploration of the reduced micropolar theory. A mathematical model is presented for the response of a layered reduced micropolar half-space subjected to a seismic buried source. In this study, the Cartesian coordinate system is used to derive the proposed formulation, which is helpful to understand the effect of extended seismic sources. In the sequel, full space solutions are derived subjected to impulsive seismic moment tensor in the reduced micropolar medium. The numerical results for the multilayered medium are presented for the point sources, and obtained rotations in the layered reduced micropolar half-space (L-RMHS) are high from the layered elastic half-space (L-EHS). The response in homogeneous reduced micropolar half-space (H-RMHS) is comparatively low compared to the L-RMHS for point sources and as well for finite-fault. The rotational faulting effect is found to be negligible in the far-field region.</p></div>\",\"PeriodicalId\":21078,\"journal\":{\"name\":\"pure and applied geophysics\",\"volume\":\"181 12\",\"pages\":\"3507 - 3538\"},\"PeriodicalIF\":1.9000,\"publicationDate\":\"2024-10-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"pure and applied geophysics\",\"FirstCategoryId\":\"89\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00024-024-03571-4\",\"RegionNum\":4,\"RegionCategory\":\"地球科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"GEOCHEMISTRY & GEOPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"pure and applied geophysics","FirstCategoryId":"89","ListUrlMain":"https://link.springer.com/article/10.1007/s00024-024-03571-4","RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"GEOCHEMISTRY & GEOPHYSICS","Score":null,"Total":0}
A mathematical model for a buried source in the layered reduced micropolar half-space
The dependency of rotations on translations in the classical elastic theory and the mismatched experimental rotations to the theoretical one leads to the exploration of the reduced micropolar theory. A mathematical model is presented for the response of a layered reduced micropolar half-space subjected to a seismic buried source. In this study, the Cartesian coordinate system is used to derive the proposed formulation, which is helpful to understand the effect of extended seismic sources. In the sequel, full space solutions are derived subjected to impulsive seismic moment tensor in the reduced micropolar medium. The numerical results for the multilayered medium are presented for the point sources, and obtained rotations in the layered reduced micropolar half-space (L-RMHS) are high from the layered elastic half-space (L-EHS). The response in homogeneous reduced micropolar half-space (H-RMHS) is comparatively low compared to the L-RMHS for point sources and as well for finite-fault. The rotational faulting effect is found to be negligible in the far-field region.
期刊介绍:
pure and applied geophysics (pageoph), a continuation of the journal "Geofisica pura e applicata", publishes original scientific contributions in the fields of solid Earth, atmospheric and oceanic sciences. Regular and special issues feature thought-provoking reports on active areas of current research and state-of-the-art surveys.
Long running journal, founded in 1939 as Geofisica pura e applicata
Publishes peer-reviewed original scientific contributions and state-of-the-art surveys in solid earth and atmospheric sciences
Features thought-provoking reports on active areas of current research and is a major source for publications on tsunami research
Coverage extends to research topics in oceanic sciences
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