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
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 (<inline-formula>...
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| Autores principales: | , , , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
MDPI AG
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/1c80d53632fe418eb446874705e3e8a4 |
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| Sumario: | 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 (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>ζ</mi><mi>m</mi></msub></mrow></semantics></math></inline-formula>) and mean geoid (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>N</mi><mi>m</mi></msub></mrow></semantics></math></inline-formula>) 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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mn>1</mn><mo>′</mo></msup><mo>×</mo><msup><mn>1</mn><mo>′</mo></msup></mrow></semantics></math></inline-formula> 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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>ζ</mi><mi>m</mi></msub></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>N</mi><mi>m</mi></msub></mrow></semantics></math></inline-formula> values for the GSVS17 profile points, was <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>±</mo><mn>0.9</mn><mo> </mo><mi mathvariant="normal">c</mi><mi mathvariant="normal">m</mi></mrow></semantics></math></inline-formula> for the quasigeoid and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>±</mo><mn>1.2</mn><mo> </mo><mi mathvariant="normal">c</mi><mi mathvariant="normal">m</mi></mrow></semantics></math></inline-formula> for the geoid model. The analogous values, determined on the basis of all <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mn>1</mn><mo>′</mo></msup><mo>×</mo><msup><mn>1</mn><mo>′</mo></msup></mrow></semantics></math></inline-formula> grid points, were <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>±</mo><mn>2.3</mn><mo> </mo><mi mathvariant="normal">c</mi><mi mathvariant="normal">m</mi></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>±</mo><mn>2.6</mn><mo> </mo><mi mathvariant="normal">c</mi><mi mathvariant="normal">m</mi></mrow></semantics></math></inline-formula> for the quasigeoid and geoid models, respectively. |
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