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Course, academic year 2023/2024
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Seminar on Dynamic Geoid Modelling - NDGF001
Title: Seminář o modelování dynamického geoidu
Guaranteed by: Department of Geophysics (32-KG)
Faculty: Faculty of Mathematics and Physics
Actual: from 2022
Semester: both
E-Credits: 3
Hours per week, examination: 0/2, C [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Teaching methods: full-time
Note: you can enroll for the course repeatedly
you can enroll for the course in winter and in summer semester
Guarantor: prof. RNDr. Ondřej Čadek, CSc.
Class: DS, geofyzika
Classification: Physics > Geophysics
Annotation -
Last update: T_KG (22.05.2001)
Geoid in a static and dynamic Earth. Spectral methods to solve the Stokes problem in the Earth mantle. Seismic tomography and the density models of the mantle. Boundary conditions. Lithosphere. Inferences of viscosity from the geoid.
Aim of the course -
Last update: CADEK/MFF.CUNI.CZ (03.04.2008)

Understanding relationship between mantle convection and gravitational field of a planet.

Course completion requirements - Czech
Last update: prof. RNDr. Ondřej Čadek, CSc. (06.10.2017)

Zápočet je udělen za pravidelnou aktivní účast a vypracování krátké seminární práce.

Literature -
Last update: CADEK/MFF.CUNI.CZ (03.04.2008)
  • B.H. Hager, R.W. Clayton: Constraints on the structure of mantle convection using seismic observation, flow models and the geoid, in: Mantle Convection, Plate Tectonics and Global Dynamics, ed. W.R. Peltier, Gordon and Breach Science Publishers, New York etc., 1989.
  • A. Tarantola: Inverse Problem Theory. Elsevier, 1987.
  • recently published papers on geoid modelling
Teaching methods -
Last update: T_KG (11.04.2008)

Seminar

Syllabus -
Last update: T_KG (10.05.2002)
Geoid in for a static and dynamic mantle

Relationship between seismic velocity anomalies and densities. Gravitational signal of density anomalies in the mantle. Spectral representation of the gravity. Concept of dynamic topography and its relationship to the real topography. Isostatic compensation. Can we determine the dynamic topographies of the surface and internal density interfaces?

Flow in the mantle and deformation of density interfaces

Stokes' problem. Rheology of mantle and lithosphere. Spectral solution of the Stokes' problem in a spherical shell. Selfgravitation. 'Realistic' rheologies. Inclusion of lateral viscosity variations.

Boundary conditions

What are the appropriate boundary conditions? Plate velocities, free slip and no slip. Approximation of mechanical behaviour of the lithosphere: Membrane dynamics. Role of lateral viscosity variations close to the boundaries.

Inferences of viscosity from the geoid

Formulation of the inverse problem. Parameterization of density and viscosity. Local and global inverse techniques. Recent papers and models. Comparison with results of mineral physics experiments and postglacial rebound analyses.

Literature

  • B.H. Hager, R.W. Clayton: Constraints on the structure of mantle convection using seismic observation, flow models and the geoid, in: Mantle Convection, Plate Tectonics and Global Dynamics, W.R. Peltier ed., Gordon and Breach Science Publishers, New York etc., 1989.
  • Selected research papers from J. Geophys. Res., Geophys. J. Int., PEPI and EPSL.
  • A. Tarantola: Inverse Problem Theory. Elsevier, 1987.

 
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