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Thesis topic proposal
 
Lajos Völgyesi
Physical interpretation of global geoid forms

THESIS TOPIC PROPOSAL

Institute: Budapest University of Technology and Economics
earth sciences
Pál Vásárhelyi Doctoral School of Civil Engineering and Earth Sciences

Thesis supervisor: Lajos Völgyesi
Location of studies (in Hungarian): BME Általános és Felsőgeodézia Tanszék
Abbreviation of location of studies: BMEAF


Description of the research topic:

An important question in geosciences is the physical interpretation of global geoid forms and the improvement of our knowledge on the inner structure of the Earth.
Geoid anomalies are caused by the inhomogeneous mass distribution inside the Earth. The physical background of geoid anomalies in which we are interested  the 3D density function (x, y, z) of Earth's inhomogeneous density distribution  have to be determined from the Earth's known potential field W(r, , ) or geoid shape. This is the well known geophysical inverse problem which has no unambiguous mathematical solution.
For the solution of the problem the effects of known and unknown masses responsible for geoid undulations can be separated. First, geoid anomalies due to known masses on and near the Earth's surface are determined (i.e. geoid anomalies which correspond to the distribution of topographic masses along the surface, isostatic compensating masses and, among others, plate tectonic density models are calculated). In the second step, geoid undulations of well-known mass distributions are subtracted from the real geoid undulations of the Earth; and finally in the third step, we try to explain the remaining simple geoid shapes. As on expects, these remaining geoid anomalies show the global effect of deeper unknown density distributions inside the Earth. On constructing plausible earth density models from all the geophysical (seismic, geomagnetic, geothermic) data available, the interpretation of the remaining geoid undulations can be achieved, but the geoid anomalies of these models have to be evaluated. From such Earth models only one may be accepted which produces the picture of the remaining geoid undulations.
To the solution of the problem high-level mathematical and computer-programming knowledge is necessary.

Main points to be addressed and tasks to be completed:

Development of the necessary mathematical model for the task
The completion of the necessary softwares, validation and testing
Evaluation and analysis of the solutions and comparison with the known geoid forms

Number of students who can be accepted: 1

Deadline for application: 2022-12-20


2024. IV. 17.
ODT ülés
Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).

 
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