Precise local quasigeoid modelling using GNSS/levelling height anomalies and gravity data

Trojanowicz, Marek; Osada, Edward; Karsznia, Krzysztof

doi:10.1080/00396265.2018.1525981

Cited by 17 publications

(9 citation statements)

References 20 publications

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“…Both Volumes 𝛺 and 𝜅 are represented by rectangular prisms. Equations ( 4) and ( 5) can now be written in the following form [20]:…”

Section: The Utilized Solutionmentioning

confidence: 99%

Determination of the Geoid–Quasigeoid Separation Using GGI Method

Trojanowicz,

Owczarek-Wesołowska,

Wang

2024

Remote Sensing

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The determination of the geoid–quasigeoid separation (GQS) is most often based on the use of Bouguer gravity anomalies or disturbances with additional corrections, which allow for the determination of so-called complete or accurate GQS values. This study presents analyses related to an attempt to determine accurate GQS values using the GGI approach (based on the geophysical gravity inversion technique). This approach allows for the modeling of various parameters of the gravity field, and it also enables the determination of the GQS or geoid undulations. Such capabilities of the method have not yet been tested. In this study, the details of the GGI solution in terms of determining the GQS and the first results from tests performed in the area of the Colorado 1 cm geoid computation experiment are presented. The GQS values determined by the GGI approach were compared with the reference values determined previously using the complete classical approach. The differences between the compared values were small, with a standard deviation of 0.007 m, and the maximum differences reached 0.075 m. The analyses also revealed the significant impact of changes in the density of topographic masses on both the geoid undulations and GQS values determined using the GGI approach.

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“…Both Volumes 𝛺 and 𝜅 are represented by rectangular prisms. Equations ( 4) and ( 5) can now be written in the following form [20]:…”

Section: The Utilized Solutionmentioning

confidence: 99%

Determination of the Geoid–Quasigeoid Separation Using GGI Method

Trojanowicz,

Owczarek-Wesołowska,

Wang

2024

Remote Sensing

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“…Z kolei w geodezji umożliwia wyznaczenie wartości i kierunku odchylenia od pionu przyspieszenia siły ciężkoś ci w określonym miejscu na Ziemi, a przez to zbudowanie modelu jej powierzchni (geoidy) i zakła danie osnów grawimetrycznych [7][8][9][10]. Pozwala to osiągnąć niezbędną dokładność niemal wszystkich pomiarów wykonywanych przez geo detów [11,12]. Specjaliści zajmujący się tzw.…”

Section: Wprowadzenie -Cel I Zakres Pracyunclassified

“…Celem tych pomiarów jest m.in. opracowanie modelu powierzchni Ziemi nazywanego geoidą [8,12]. Ma to podstawowe znaczenie dla zapewnienia coraz większej dokładności pomiarów geodezyjnych, której wymaga rozwój współczesnych technologii [41,42].…”

Section: Tomografia Grawitacyjna Jako Problem Odwrotny Teorii Polaunclassified

Deterministyczne procedury obliczeniowe tomografii grawitacyjnej we współrzędnych ortogonalnych i sferycznych

Bednarek¹

2020

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Niech dany będzie obszar przestrzeni o objętość V, w którym rozmieszczona jest masa, rys. 1.1.Rys. 1.1. Przyspieszenia siły ciężkości wytwarzane przez rozkład przestrzenny mas; i -indeks stanowiska pomiarowego (i = 1, 2, … n), j -indeks elementu objętości (j = 1, 2, … m), V -objętość obszaru wypełnionego masą, B 1 , B i , B n -stanowiska pomiarowe, ΔV 1 , ΔV j , ΔV m -elementy objętości, r i1 , r ij , r im -odległości między środkami elementów objętości i stanowiskami pomiarowymi, g 1 , g i , g n -przyspieszenia siły ciężkości na stanowiskach pomiarowych, Δg i1 , Δg ij , Δg im -przyczynki do przyspieszenia g i od mas zawartych w elementach objętości odpowiednio ΔV 1 , ΔV j , ΔV m na stanowisku pomiarowym B i

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“…This method was developed as a method for the local modeling of a quasigeoid fitted to GNSS/levelling data. Notably, the accuracy of these types of models (models using GNSS/levelling data), used for local applications, can reach values of several millimeters [35,36]. However, such models may be burdened with long-wavelengths and systematic errors from the GNSS/levelling height anomalies or geoid undulations used to build the model.…”

Section: Introductionmentioning

confidence: 99%

Quasi Geoid and Geoid Modeling with the Use of Terrestrial and Airborne Gravity Data by the GGI Method—A Case Study in the Mountainous Area of Colorado

et al. 2021

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This article concerns the development of gravimetric quasigeoid and geoid models using the geophysical gravity data inversion technique (the GGI method). This research work was carried out on the basis of the data used in the Colorado geoid experiment, and the mean quasigeoid (ζm) and mean geoid (Nm) heights, determined by the approaches used in the Colorado geoid experiment, were used as a reference. Three versions of the quasigeoid GGI models depending on gravity data were analyzed: terrestrial-only, airborne-only, and combined (using airborne and terrestrial datasets). For the combined version, which was the most accurate, a model in the form of a 1′×1′ grid was calculated in the same area as the models determined in the Colorado geoid experiment. For the same grid, the geoid–quasigeoid separation was determined, which was used to build the geoid model. The agreement (in terms of the standard deviation of the differences) of the determined models, with ζm and Nm values for the GSVS17 profile points, was ±0.9 cm for the quasigeoid and ±1.2 cm for the geoid model. The analogous values, determined on the basis of all 1′×1′ grid points, were ±2.3 cm and ±2.6 cm for the quasigeoid and geoid models, respectively.

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Precise local quasigeoid modelling using GNSS/levelling height anomalies and gravity data

Cited by 17 publications

References 20 publications

Determination of the Geoid–Quasigeoid Separation Using GGI Method

Determination of the Geoid–Quasigeoid Separation Using GGI Method

Deterministyczne procedury obliczeniowe tomografii grawitacyjnej we współrzędnych ortogonalnych i sferycznych

Quasi Geoid and Geoid Modeling with the Use of Terrestrial and Airborne Gravity Data by the GGI Method—A Case Study in the Mountainous Area of Colorado

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