Electromagnetic induction in heterogeneous Earth's mantle: Inverse modelling
| Thesis title in Czech: | Elektromagnetická indukce v heterogenním zemském plášti: Inverzní modelování |
|---|---|
| Thesis title in English: | Electromagnetic induction in heterogeneous Earth's mantle: Inverse modelling |
| Key words: | electromagnetic induction, electrical conductivity, adjoint methods |
| English key words: | electromagnetic induction, electrical conductivity, adjoint methods |
| Academic year of topic announcement: | 2013/2014 |
| Thesis type: | dissertation |
| Thesis language: | angličtina |
| Department: | Department of Geophysics (32-KG) |
| Supervisor: | doc. RNDr. Jakub Velímský, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 27.09.2013 |
| Date of assignment: | 27.09.2013 |
| Confirmed by Study dept. on: | 11.12.2013 |
| Guidelines |
| Electrical conductivity represents an important geophysical parameter that is related to temperature distribution, chemical, mineralogical and phase state of the Earth's mantle. The electromagnetic (EM) induction method based on data from geomagnetic observatories, and recently also from low-orbit satellites, is becoming a useful technique to provide 3-D images of mantle electrical conductivity, and to complement the information provided by other geophysical disciplines. The student will take over the collection of programs for the solution of the forward and inverse problem of EM induction in the time domain, contribute to their further development, and apply them to existing and new datasets. In particular, the following fields will be studied:
* correction of data for ocean effect combining forward runs at different spatial resolutions * effective evaluation of Hessian and/or Hessian-vector product in the inverse problem based on the solution of the adjoint problem * use of Hessian for improved parameterization, regularization, and a-posteriori error analysis of the inverse problem * application of the method to newly available data, such as very long-period electric (telluric) measurements, scalar-only measurements, and Swarm satellite data * source effect, co-estimation of source model in the inverse problem. |
| References |
| Simpson F., Bahr, K., Practical magnetotellurics, Cambridge University Press, 2005.
Chave, A., Jones, A. (Eds.), The magnetotelluric method: theory and practice, Cambridge University Press, 2012. Berdichevsky, M., Dmitriev, V., Models and Methods of Magnetotellurics, Springer 2008. Jones M.N.: Spherical Harmonics and Tensors for Classical Field Theory, Research Studies Press Ltd., 1985. Varshalovich, D.A., A.N. Moskalev & V.K. Khersonskii, Quantum Theory of Angular Momentum, World Scientific, Singapore, 1989. Tarantola, A., Inverse Problem Theory and Methods for Model Parameter Estimation, SIAM, 2005. Parker, R.L., Geophysical Inverse Theory, Princeton University Press, 1994. Fichtner, A., Full Seismic Waveform Modelling and Inversion, Springer, 2011. Egbert, G.D., and A. Kelbert, Computational recipes for electromagnetic inverse problems, Geophys. J. Int., 189(1), 251-267, 2012. Zhdanov, M.S. and P.E. Wannamaker (Eds), Three-Dimensional Electromagnetics, Elsevier, Methods in Geochemistry and Geophysics, vol. 35, 2002. Zhdanov, M.S., Geophysical Inverse Theory and Regularization Problems, Elsevier, Methods in Geochemistry and Geophysics, vol. 36, 2002. |