Normal modes of realistic Earth models: an advanced treatment of elasticity, rotation and fluid core compressibility

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dc.contributor.authorKAMRUZZAMAN, MD
dc.contributor.authorUniversity of Lethbridge. Faculty of Arts and Science
dc.contributor.supervisorSeyed-Mahmoud, Behnam
dc.date.accessioned2021-09-24T16:45:12Z
dc.date.available2021-09-24T16:45:12Z
dc.date.issued2021
dc.degree.levelPh.Den_US
dc.description.abstractWe apply the Galerkin method to solve the linear momentum description (LMD) of the dynamics of the Earth's layers and expand the Galerkin formulation of the LMD to include the first order ellipticity using the Clairaut coordinate system in order to study the Earth's normal modes. We show that the computed frequencies of the inertial modes may be significantly affected by the elasticity of the mantle and inner core. Traditionally, a liquid core with rigid boundaries is considered to study these modes. Our computed periods of the Chandler wobble (CW) and the free core nutation (FCN) are not affected by the density stratification of the fluid core. The computed period of the FCN, 432.28 sd, is almost identical to the observed value. This indicates that the Earth is indeed in hydrostatic equilibrium which is in contrast to previous work suggested that the Earth deviated from hydrostatic equilibrium. The great advantage of our method is that we can ensure the frequencies are converged.en_US
dc.description.sponsorshipThe School of Graduate Studies and the Faculty of Arts and Science of the University of Lethbridgeen_US
dc.identifier.urihttps://hdl.handle.net/10133/6043
dc.language.isoen_USen_US
dc.proquest.subjectGeophysics [0373]en_US
dc.proquest.subjectAstrophysics [0596]en_US
dc.proquest.subjectPhysics [0605]en_US
dc.proquestyesYesen_US
dc.publisherLethbridge, Alta. : University of Lethbridge, Dept. of Physics & Astronomyen_US
dc.publisher.departmentDepartment of Physics and Astronomyen_US
dc.publisher.facultyArts and Scienceen_US
dc.relation.ispartofseriesThesis (University of Lethbridge. Faculty of Arts and Science)en_US
dc.subjectEarth's normal modesen_US
dc.subjectInertial modesen_US
dc.subjectWobble and nutation modesen_US
dc.subjectSlichter modes and Rotation of Earthen_US
dc.subjectAstronautics in geophysicsen_US
dc.subjectDissertations, Academicen_US
dc.subjectEarth (Planet) -- Core -- Mathematical modelsen_US
dc.subjectEarth (Planet) -- Rotation.en_US
dc.subjectEarth (Planet)--Coreen_US
dc.subjectEarth resistance (Geophysics)en_US
dc.subjectNutationen_US
dc.titleNormal modes of realistic Earth models: an advanced treatment of elasticity, rotation and fluid core compressibilityen_US
dc.typeThesisen_US
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