Development of a precise local quasigeoid model for the city of Krakow - QuasigeoidKR2019

• Autorzy: Banasik Piotr , Bujakowski Kazimierz , Kudrys Jacek , Ligas Marcin

Identyfikatory

DOI

10.2478/rgg-2020-0004

• Języki publikacji: EN

Abstrakty

EN

A geoid or quasigeoid model allows the integration of satellite measurements with ground levelling measurements in valid height systems. A precise quasigeoid model has been developed for the city of Krakow. One of the goals of the model construction was to provide a more detailed quasigeoid course than the one offered by the national model PL-geoid2011. Only four measurement points in the area of Kraków were used to build a national quasigeoid model. It can be assumed that due to the small number of points and their uneven distribution over the city area, the quasigeoid can be determined less accurately. It became the reason for developing a local quasigeoid model based on a larger number of evenly distributed points. The quasigeoid model was based on 66 evenly distributed points (from 2.5 km to 5.0 km apart) in the study area. The process of modelling the quasigeoid used height anomalies determined at these points on the basis of normal heights derived through levelling and ellipsoidal heights derived through GNSS surveys. Height anomalies coming from the global geopotential model EGM2008 served as a long-wavelength trend in those derived from surveys. Analyses showed that the developed height anomaly model fits the empirical data at the level of single millimetres – mean absolute difference 0.005 m. The developed local model QuasigeoidKR2019, similar to the national model PL-geoid2011, are models closely related to the reference and height systems in Poland. Such models are used to integrate GNSS and levelling observations. A comparison of the local QuasigeoidKR2019 and national PL-geoid2011 model was made for the reference frame PL-ETRF2000 and height datum PL-KRON86-NH. The comparison of the two models with respect to GNSS/levelling height anomalies shows a triple reduction in the values of individual quartiles and a mean absolute difference for the developed local model. These summary statistics clearly indicate that the accuracy of the local model for the city of Krakow is significantly higher than that of the national one.

Słowa kluczowe

EN

local quasi geoid; GNSS; levelling data; height anomaly; QuasigeoidKR2019; cross-validation

PL

quasi-geoidy; GNSS; dane niwelacyjne; anomalia wysokości; walidacja krzyżowa

• Wydawca: Wydział Geodezji i Kartografii Politechniki Warszawskiej
• Czasopismo: Reports on Geodesy and Geoinformatics
• Rocznik: 2020
• Tom: Vol. 109
• Strony: 25--31
• Opis fizyczny: Bibliogr. 17 poz., rys., tab., wykr.

Twórcy

autor

Banasik Piotr

• Department of Integrated Geodesy and Cartography, Faculty of Mining Surveying and Environmental Engineering, AGH University of Science and Technology, Mickiewicza Av. 30, 30-059, Cracow, Poland

autor

Bujakowski Kazimierz

• Department of Integrated Geodesy and Cartography, Faculty of Mining Surveying and Environmental Engineering, AGH University of Science and Technology, Mickiewicza Av. 30, 30-059, Cracow, Poland

autor

Kudrys Jacek

• Department of Integrated Geodesy and Cartography, Faculty of Mining Surveying and Environmental Engineering, AGH University of Science and Technology, Mickiewicza Av. 30, 30-059, Cracow, Poland

autor

Ligas Marcin

• Department of Integrated Geodesy and Cartography, Faculty of Mining Surveying and Environmental Engineering, AGH University of Science and Technology, Mickiewicza Av. 30, 30-059, Cracow, Poland

Bibliografia

• 1. Borowski, Ł. (2015). Zastosowanie sieci ASG-EUPOS do modelowania lokalnej quasi-geoidy. PhD thesis, AGH University of Science and Technology, Kraków.
• 2. Borowski, Ł. and Banasik, P. (2020). The conversion of heights of the benchmarks of the detailed vertical reference network into the PL-EVRF2007-NH frame. Reports on Geodesy and Geoinformatics, 109(1):1–7.
• 3. Das, R. K., Samanta, S., Jana, S. K., and Rosa, R. (2018). Polynomial interpolation methods in development of local geoid model. The Egyptian Journal of Remote Sensing and Space Science, 21(3):265–271.
• 4. Falchi, U., Parente, C., and Prezioso, G. (2018). Global geoid adjustment on local area for GIS applications using GNSS permanent station coordinates. Geodesy and Cartography, 44(3):80–88.
• 5. Jäger, R. (2013). DFHBF 5.0 – A New Integrated Geodesy Approach for Regional Gravity Field Modelling and Height Reference Surface Computation [conference presentation]. Interexpo GEO-Siberia 2013, 24–26 April 2013, Novosibirsk, Russia, retrieved 3 May 2020 from http://dfhbf.de/files/DFHRS_5.0.pdf.
• 6. Kadaj, R. (2014). Algorytm opracowania modelu PL-geoid2011 [conference presentation]. Seminarium Komitetu Geodezji PAN i Wydziału Geodezji i Kartografii PW „Realizacja osnów geodezyjnych a problemy geodynamiki”, Grybów, 25–27 September 2014, retrieved 3 May 2020 from http://www.rogopen.gik.pw.edu.pl.
• 7. Kadaj, R. (2018). Transformations between the height reference frames: Kronsztadt’60, PL-KRON86-NH, PL-EVRF2007-NH. Journal of Civil Engineering, Environment and Architecture, XXXV(65(3/18)):5–24
• 8. Kryński, J. (2014). Istniejące modele geoidy/quasigeoidy na terenie Polski [conference presentation]. Seminarium Komitetu Geodezji PAN i Wydziału Geodezji i Kartografii PW „Realizacja osnów geodezyjnych a problemy geodynamiki”, Grybów, 25–27 September 2014, retrieved 3 May 2020 from http://www.rogopen.gik.pw.edu.pl.
• 9. Lamparski, J. (2008). Geoida milimetrowa miasta i okolic Olsztyna. Acta Scientiarum Polonorum. Geodesia et Descriptio Terrarum, 7(1):47–55.
• 10. Morozova, K., Jäger, R., Balodis, J., Silabriedis, G., Kaminskis, J., Kalinka, M., Balodis, K., and Mitrofanovs, I. (2019). Preliminary Results on Quasi-Geoid for Western Part of Latvia Using Digital-Zenith Camera and DFHRS V. 4.3 Software. Geophysica, 54(1):61–68.
• 11. Osada, E. and Gralak, H. (2017). Metoda przeliczania szczegółowych osnów wysokościowych z układu PL-KRON86-NH do układu PL-EVRF2007-NH. Przegląd Geodezyjny, 89(6):20–23.
• 12. Pavlis, N. K., Holmes, S. A., Kenyon, S. C., and Factor, J. K. (2012). The development and evaluation of the Earth Gravitational Model 2008 (EGM2008). Journal of Geophysical Research: Solid Earth, 117(B4).
• 13. Pażus, R., Osada, E., and Olejnik, S. (2002). Geoida niwelacyjna 2001. Geodeta: magazyn geoinformacyjny, 5(84).
• 14. Regulation (2012). Regulation of the of the Council of Ministers of October 15, 2012 on the national spatial references system. Official Journal 2012, item 1247.
• 15. Regulation (2019). Regulation of the Council of Ministers of 19 December, 2019 amending the regulation on the state system of spatial references. Official Journal 2019, item 2494.
• 16. Szelachowska, M. and Krynski, J. (2014). GDQM-PL13 – the new gravimetric quasigeoid model for Poland. Geoinformation Issues, 6(1):5–19.
• 17. Trojanowicz, M., Osada, E., and Karsznia, K. (2020). Precise local quasigeoid modelling using GNSS/levelling height anomalies and gravity data. Survey Review, 52(370):76–83.

Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).