{"title":"Stability of Heavy Inclusions in the Earth’s Crust","authors":"B. I. Birger","doi":"10.1134/S1069351324700137","DOIUrl":null,"url":null,"abstract":"<p><b>Abstract</b>—Stability of a heavy inclusion in the Earth’s upper crust is studied by the linear theory method for small perturbations. The presence of such inclusions with an increased density is associated with chemical inhomogeneity or phase transformations. The stability problem of a heavy elastic layer above a less dense elastic layer representing the lower crust and mantle lithosphere is solved. It is shown that such a system is stable: small initial perturbations produce low-amplitude oscillations. The corrections of oscillation frequencies for the density jump at the boundary between the layers are calculated. The changes introduced to the solution by the consideration of creep, which is present even in cold geomaterials, are discussed. Creep causes instability of heavy inclusions in the upper crust. However, due to the very high effective viscosity of the cold upper crust, this instability is of a formal nature, since it develops so slowly that heavy inclusions in the upper crust hardly change their position on timescales comparable to the age of the Earth.</p>","PeriodicalId":602,"journal":{"name":"Izvestiya, Physics of the Solid Earth","volume":"60 1","pages":"83 - 91"},"PeriodicalIF":0.9000,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Izvestiya, Physics of the Solid Earth","FirstCategoryId":"89","ListUrlMain":"https://link.springer.com/article/10.1134/S1069351324700137","RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"GEOCHEMISTRY & GEOPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract—Stability of a heavy inclusion in the Earth’s upper crust is studied by the linear theory method for small perturbations. The presence of such inclusions with an increased density is associated with chemical inhomogeneity or phase transformations. The stability problem of a heavy elastic layer above a less dense elastic layer representing the lower crust and mantle lithosphere is solved. It is shown that such a system is stable: small initial perturbations produce low-amplitude oscillations. The corrections of oscillation frequencies for the density jump at the boundary between the layers are calculated. The changes introduced to the solution by the consideration of creep, which is present even in cold geomaterials, are discussed. Creep causes instability of heavy inclusions in the upper crust. However, due to the very high effective viscosity of the cold upper crust, this instability is of a formal nature, since it develops so slowly that heavy inclusions in the upper crust hardly change their position on timescales comparable to the age of the Earth.
期刊介绍：
Izvestiya, Physics of the Solid Earth is an international peer reviewed journal that publishes results of original theoretical and experimental research in relevant areas of the physics of the Earth''s interior and applied geophysics. The journal welcomes manuscripts from all countries in the English or Russian language.
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