Review of methods for determining the gravitational effect of topographic masses
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The text discusses methods used in geodesy and geophysics to determine the gravitational effect of topographic masses. Three main methods — utilizing the formulas of the right parallelepiped, spherical tesseroid, and flat tesseroid — are applied within Bjerhammar's reduction scheme. The correction for the terrain's gravitational effect is evaluated on a digital terrain model. The research concludes that, overall, the three methods are practically equivalent, even in rough topographic conditions. However, in one test of Bouguer anomalies, formulas involving tesseroids and flat tesseroids show a slightly lower root mean square (RMS) compared to those using standard right parallelepiped formulas.
Keywords:
gravitational effect of topographic masses / modeling / terrain correction / right parallelepiped / spherical tesseroid / flat tesseroidSource:
9th International Conference "CIVIL ENGINEERING – SCIENCE AND PRACTICE" GNP 2024 – Kolašin, Montenegro, 5-9 March 2024., 2024Institution/Community
GraFarTY - CONF AU - Ilijević, Slavica AU - Grekulović, Sanja AU - Todorović Drakul, Miljana AU - Bojović, Bogdan PY - 2024 UR - https://www.gnp.ucg.ac.me/accepted-paper/ UR - https://grafar.grf.bg.ac.rs/handle/123456789/3503 AB - The text discusses methods used in geodesy and geophysics to determine the gravitational effect of topographic masses. Three main methods — utilizing the formulas of the right parallelepiped, spherical tesseroid, and flat tesseroid — are applied within Bjerhammar's reduction scheme. The correction for the terrain's gravitational effect is evaluated on a digital terrain model. The research concludes that, overall, the three methods are practically equivalent, even in rough topographic conditions. However, in one test of Bouguer anomalies, formulas involving tesseroids and flat tesseroids show a slightly lower root mean square (RMS) compared to those using standard right parallelepiped formulas. C3 - 9th International Conference "CIVIL ENGINEERING – SCIENCE AND PRACTICE" GNP 2024 – Kolašin, Montenegro, 5-9 March 2024. T1 - Review of methods for determining the gravitational effect of topographic masses UR - https://hdl.handle.net/21.15107/rcub_grafar_3503 ER -
@conference{ author = "Ilijević, Slavica and Grekulović, Sanja and Todorović Drakul, Miljana and Bojović, Bogdan", year = "2024", abstract = "The text discusses methods used in geodesy and geophysics to determine the gravitational effect of topographic masses. Three main methods — utilizing the formulas of the right parallelepiped, spherical tesseroid, and flat tesseroid — are applied within Bjerhammar's reduction scheme. The correction for the terrain's gravitational effect is evaluated on a digital terrain model. The research concludes that, overall, the three methods are practically equivalent, even in rough topographic conditions. However, in one test of Bouguer anomalies, formulas involving tesseroids and flat tesseroids show a slightly lower root mean square (RMS) compared to those using standard right parallelepiped formulas.", journal = "9th International Conference "CIVIL ENGINEERING – SCIENCE AND PRACTICE" GNP 2024 – Kolašin, Montenegro, 5-9 March 2024.", title = "Review of methods for determining the gravitational effect of topographic masses", url = "https://hdl.handle.net/21.15107/rcub_grafar_3503" }
Ilijević, S., Grekulović, S., Todorović Drakul, M.,& Bojović, B.. (2024). Review of methods for determining the gravitational effect of topographic masses. in 9th International Conference "CIVIL ENGINEERING – SCIENCE AND PRACTICE" GNP 2024 – Kolašin, Montenegro, 5-9 March 2024.. https://hdl.handle.net/21.15107/rcub_grafar_3503
Ilijević S, Grekulović S, Todorović Drakul M, Bojović B. Review of methods for determining the gravitational effect of topographic masses. in 9th International Conference "CIVIL ENGINEERING – SCIENCE AND PRACTICE" GNP 2024 – Kolašin, Montenegro, 5-9 March 2024.. 2024;. https://hdl.handle.net/21.15107/rcub_grafar_3503 .
Ilijević, Slavica, Grekulović, Sanja, Todorović Drakul, Miljana, Bojović, Bogdan, "Review of methods for determining the gravitational effect of topographic masses" in 9th International Conference "CIVIL ENGINEERING – SCIENCE AND PRACTICE" GNP 2024 – Kolašin, Montenegro, 5-9 March 2024. (2024), https://hdl.handle.net/21.15107/rcub_grafar_3503 .