On the construction of gravimetric geoid model on the Lviv region area
DOI:
https://doi.org/10.24028/gzh.v44i1.253714Keywords:
height system, geoid model, gravity anomalies, GNSS-levelingAbstract
Baltic Height System 1977, currently used in Ukraine, the starting point of which is the zero of the Kronstadttide-gauge, isobsoletedue to the great distance from the zero-point of the reference height and the difficulty of adapting satellite methods of geodesy. For the successful modernization of the height system of Ukraine, it is necessary to integrate it into the United European Leveling Network (UELN). For the full functioning of any modern height system, namely to determine the gravity-depend heights by satellite methods, it is necessary to operate with a high-precision geoid model. Therefore, an important task is construction of a high-precision regional model of the geoid on the territory of our state. The rear many methods of constructing a model of the regional Earth’s gravitational field, including the geoid model, each of which has its advantages and disadvantages. The purpose of this article is to test the STHA-method for calculating the model of the regional gravitational field, in particular the gravimetric model of the geoid, on the territory of Lviv region and to assess its accuracy. Free air gravity anomalies ∆g from WGM2012 provided by the International Gravimetric Bureau (BGI) were used as initial data. The gravimetric STHA-model of the geoid was calculated with in the procedure «Remove-Compute-Restore» up to 8 degrees/order. To assess the accuracy of the model, it was compared with 213 points of GNSS leveling, as well as with the model EGM2008 up to 360 degrees/order. There are always differences between geometric and gravimetric geoid models duet or and ommeasurement errors, in consistencies in datums, different geodynamic effects etc. Respectively the parameters of the transition between gravimetric and geometric models of the geoid on the territory of Lviv region were also found. The proposed method can be used to build a high-precision model of the geoid for the entire territory of Ukraine with its subsequent coordination with the model of the European geoid EGG2015.
References
Bonvalot, S., Balmino, G., Briais, A., Kuhn, M., Peyrefitte, A., Vales, N., Biancale, R., Gabalda, G., Reinquin, F., & Sarrailh, M. (2012). World Gravity Map. Retrieved from http://www.cartographie.ird.fr/images/carte_gravimetrie_2012/WGM_Notice_2012br.pdf
De Santis, A. & Torta, J. (1997). Spherical cap harmonic analysis: a comment on its proper use for local gravity field representa-tion. Journal of Geodesy, 71(9), 526—532. https://doi.org/10.1007/s001900050120.
Denker, H. (2015).A new European gravimetric (quasi) geoid EGG2015.XXVI General Assembly of the International Union of Geodesy and Geophysics (IUGG), Earth and Environmental Sciences for Future Generations, Prague, Czech Republic, 22 June—02 July 2015.
Dzhuman, B.B. (2017). Modeling of the Earth’s gravitational field using spherical functions. Geodesy, cartography and aerial photography, (86), 5—10. https://doi.org/10.23939/istcgcap2017.02.005.
Haines, G. (1985). Spherical cap harmonic analysis. Journal of Geophysical Research: Solid Earth, 90(B3), 2583—2591. https://doi.org/10.1029/JB090iB03p02583.
Ince, E.S., Barthelmes, F., Reißland, S., Elger, K., Förste, C., Flechtner, F., & Schuh, H. (2019). ICGEM — 15 years of successful collection and distribution of global gravitational models, associated services and future plans. Earth System Science Data, 11(2), 647—674. http://doi.org/10.5194/essd-11-647-2019.
Kotsakis, C., & Sideris, M. (1999).On the adjustment of combined GPS/levelling/geoid networks.Journal of Geodesy, 73, 412—421.https://doi.org/10.1007/s001900050261.
Marchenko, A.N. (1998). Parameterization of the Earth’s Gravity Field: Point and Line Singularities. Published by Lviv Astro-nomical and Geodetic Society, 210 p.
Marchenko, A.N., & Lukyanchenko, Yu.O. (2018). Approbation of the global gravity field model constructing method with a non-diagonal normal equations matrix based on the DTU10 gravity anomalies.Visnyk astronomichnoyi shkoly, (14), 35—41 (in Ukrainian).
Moritz, H. (1975). Integral formulas and Collocation. Publisher — Ohio State University, Dept. Of Geodetic Science, 63 p.
Pavlis, N.,Kenyon, S., Factor, J., & Holmes, S. (2008). Earth Gravitational Model 2008. SEG Technical Program Expanded Ab-stracts (pp. 761—763). https://doi.org/10.1190/1.3063757.
Sideris, M. (2005). Geoid determination by FFT techniques. International School for the Determination and Use of the Geoid. Budapest University of Technology and Economics, 64 p.
Sumaruk, Yu.P., Yankiv-Vitkovska, L.M., & Dzhuman, B.B. (2019a). Modeling of regional magnetic field applying spherical functions: theoretical aspect. GeofizicheskiyZhurnal, 41(1), 180—191. https://doi.org/10.24028/gzh.0203-3100.v41i1.2019.158872 (in Ukrainian).
Sumaruk,Yu.P., Yankiv-Vitkovska, L.M., & Dzhuman, B.B. (2019b). Modeling of regional magnetic field applying spherical functions: practical aspect. Geofizicheskiy Zhurnal, 41(6), 165—172. https://doi.org/10.24028/gzh.0203-3100.v41i6.2019.190073 (in Ukrainian).
Zablotskyi, F.D., & Dzhuman, B.B. (2021).Construction of STHA-model of geometric geoid on the Lviv region area. Suchasni dosiahnennia heodezychnoi nauky ta vyrobnytstva, (2), 49—56 (in Ukrainian).
Downloads
Published
How to Cite
Issue
Section
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).