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Thesis topic proposal
 
Lajos Völgyesi
The use of mathematical methods in metrology for the elimination of disturbances in precision torsion balance measurements

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): Department of Geodesy and Surveying
Abbreviation of location of studies: EOAF


Description of the research topic:

The results of various Earth science observations, including high-precision Eötvös torsion balance measurements with increased accuracy, are usually biased by several independent effects, many of which can be considered as interfering signals for a given measurement. In metrology, well-established methods for processing and analysing such data and for separating the interfering effects are known, but they have not yet been generally applied in the field of physical, geophysical and geodetic measurements. One such technique is the mathematical method of determining the adaptive (position-dependent) transfer function of measurement systems and disturbance signals and separating the different effects, known in metrology as system identification. The method can also be very useful for analysing and filtering out or compensating for disturbance signals encountered in physical (e.g. gravitational wave detection), geophysical measurements and problems (e.g. Eötvös torsion balance measurements, or studies of deformations of the earth's mantle).
The PhD research analyses the applicability of this mathematical technique for high-precision Eötvös torsion balance measurements in order to separate the different effects, to filter out and compensate for disturbances, thus increasing the accuracy of the measurements. In addition, the aim of the research is to refine, complete and modify the model of the perturbation effect mechanism based on the results of the mathematical method, and to set up and verify a new model for any missing perturbations.
The data available for the tests are the results of automated Eötvös torsion balance measurements with several orders of magnitude higher accuracy, as well as the disturbance signals (e.g. temperature, pressure, seismic noise, tilt data, and gravity values). The measurement data are from the weak equivalence principle measurements carried out in the Jánossy Underground Laboratory of the Wigner Research Centre for Physics in cooperation with the Department of Geodesy and Surveying of BME since 2017. The aim of the ongoing measurements is to repeat the famous weak equivalence principle experiment of Loránd Eötvös and his colleagues in 1906-1908, which proved the equivalence of the gravitational and inertial mass. The relevance of repeating the measurement with high precision is to confirm or reject the explanation of the regular deviations found in the Eötvös measurements at the time, as hypothesised by Gyula Tóth.. Although the measurements are expected to take many more years, the amount of data available so far is already sufficient to carry out the studies planned in the PhD research. By processing the data and introducing the above mathematical method used in measurements, we will have a tool that can significantly help to improve the reliability and accuracy of other complex geological and physical measurements and to solve complex geological problems.


Deadline for application: 2024-05-31


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).

 
All rights reserved © 2007, Hungarian Doctoral Council. Doctoral Council registration number at commissioner for data protection: 02003/0001. Program version: 2.2358 ( 2017. X. 31. )