A Strategy for Gross-Error Detection in Satellite Altimeter Data Applied in the Baltic-Sea Area for Enhanced Geoid and Gravity Determination

Tscherning, C. C.

doi:10.1007/978-1-4612-3104-2_12

Cited by 10 publications

(4 citation statements)

References 2 publications

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“…4 shows the 13183 gravimetric points used in the geoid determination. They belong to the database for the calculation of the local geoid model for Valencia region GCV07, this set of points is free from outliers due to the use of the process described in Tscherning (1991) applied to the original database (Martín et al, 2009). The accuracy estimation for the gravity anomalies (used for complete C vv matrix of Eq.…”

Section: 2 N U M E R I C a L R E S U L T Smentioning

confidence: 99%

Ability of the EGM2008 high degree geopotential model to calculate a local geoid model in Valencia, Eastern Spain

et al. 2010

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A new generation of global geopotential models (GGM) is being developed. These solutions offer a file with fully-normalized spherical harmonic coefficients of the Earth's gravitational potential up to a degree greater than 2000 with very low commission errors. This paper analyses the recent Earth Gravitational Model EGM2008, developed up to degree and order 2159 with additional coefficients to degree 2190 and order 2159, which means recovering the gravitational field up to approximately 20 km wavelengths. 223 GPS/levelling points of the new Spanish High Precision Levelling Network in the Valencia region (Eastern Spain) are used as external tool for evaluation in that particular region. The same evaluation has been performed to other different global (EGM96 and EIGEN-CG03C), continental (EGG97), regional (IGG2005 and IBERGEO2006) and local (GCV07) geoid models for comparison purposes only. These comparisons show that EGM2008 is the geoid model that best fits to the GPS/levelling data in that region.Based on these results, EGM2008 GGM is used to determine a new local geoid model in the region of Valencia by means of the remove-restore technique in the scenario proposed by least-squares collocation, in order to check the ability of the EGM2008, as a very high-degree GGM, to calculate a local geoid model in the studied area. The determination is presented step by step in this article, comparing the results of each step with those obtained using the same process but with the global model EIGEN-CG03C, complete up to degree and order 360, that is, a high-degree GGM. These two new geoid models have been analyzed using the 223 GPS/levelling points. The results show that local geoid determination based on EGM2008model gives significantly better fit to GPS/levelling points than any other geoid model in the studied area. However the improvement is not significant with respect to the direct use of EGM2008 without any additional local gravity data. Hence we strongly recommend the use of EGM2008 without applying least-squares collocation in the areas where good ground data were available for the computation of EGM2008.K e y w o r d s : geopotential theory, global geopotential model, EGM2008, local geoid determination A. Martin et al. 348 Stud. Geophys. Geod., 54 (2010)

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Section: 2 N U M E R I C a L R E S U L T Smentioning

confidence: 99%

Ability of the EGM2008 high degree geopotential model to calculate a local geoid model in Valencia, Eastern Spain

et al. 2010

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“…This search is based on the interpolation of each of the undulation values observed from the rest of the data (N int ) and their comparison with the observed value (N obs ). A point is thought to be prone to gross error if the following equation applies (Tscherning, 1991): where k is a constant normally adopted as equal to 3, 2 int σ is the error variance of the interpolation and is the error variance of the observations. 2 obs σ The most frequently used method to interpolate data in many of the geodetic and geophysical applications is the least squares collocation method (Moritz, 1980).…”

Section: Calculation Of the Geoid With Direct Undulationmentioning

confidence: 99%

High-precision geoid determination in small areas: A case study in Doñana National Park (Spain)

et al. 2008

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Doñana National Park is an area of approximately 500 km 2 located on the SW coast of Spain that shows one of the greatest geoid gradients on the entire Iberian Peninsula, due to its peculiar tectonic characteristics. So, it is necessary to elaborate an accurate geoid model that can be used with GPS for precise surveying, since the existing ones are insufficient, due to their poor resolution and their limited adaptation to a small area with such a strong gradient. The least squares prediction method was tested in order to obtain the undulation from GPS/orthometric points. The results obtained were unsatisfactory because of the strong geoid gradient. In order to improve accuracy the remove-restore technique was used. Global geopotential model EIGEN-CG01C and a Digital Elevation Model (DEM) with a 25 × 25 m resolution and an accuracy better than 3 m were used.Thus, the final geometrical geoid obtained reaches the precision required by other disciplines (3 cm in any point within the Park). Particularly, the geoid model has allowed for the acquisition of a precision DEM that is essential to formulate a hydrodynamic model for the Doñana marsh functions.

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“…Accurate determination of the gravity values is not an easy task, since one should ensure that possible systematic and gross errors (such as geophysical effects and the instrumental errors) (Tapley, Born, & Parke, 1982;Tscherning, 1991;Van Camp, Williams, & Francis, 2005) in the measurements are optimally handled. Furthermore, one should also correctly define mathematical and weighting (stochastic) models during the adjustments (Lerch, 1991).…”

Section: Introductionmentioning

confidence: 99%

pyGABEUR-ITB: A FREE SOFTWARE FOR ADJUSTMENT OF RELATIVE GRAVIMETER DATA

Wijaya¹,

Muhamad²,

Prijatna³

et al. 2019

JIG

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pyGABEUR-ITB (Python GayaBEUrat Relatif – Institut Teknologi Bandung) is a free and interactive software for adjustment of relative gravimeter data, developed based on Python programming language. pyGABEUR-ITB can adjust relative gravity measurements and provide reliable estimates for correcting instrument’s systematic errors, such as gravimeter drift. Furthermore, pyGABEUR-ITB can also detect possible outliers in the observations using the t-criterion method. Since pyGABEUR-ITB is using the weighted constraint adjustment, at least one fixed station is required accordingly. Relative gravimeter data around Palu-Donggala area (Central Sulawesi) observed by Center for Geodesy Control Networks and Geodynamics, Geospatial Information Agency, were used to test the performance of pyGABEUR-ITB. The processing results were then compared against those calculated using GRAVNET software. The comparisons show that both pyGABEUR-ITB and GRAVNET softwares statistically provide simillar results, with the total RMS value of about 5 mGal. In term of computer’s requirement, pyGABEUR-ITB can be excecuted under a computer with the following minimal requirements: x64 CPU, 1 GB memory and WINDOWS 7 OS. Finally, it is important to mention that pyGABEUR-ITB is recently suited to process the data from the gravimeter that adopts the principle of vertical spring balance. In the near future, pyGABEUR-ITB will be extended to be able to automatically adapt to various observation principles.

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A Strategy for Gross-Error Detection in Satellite Altimeter Data Applied in the Baltic-Sea Area for Enhanced Geoid and Gravity Determination

Cited by 10 publications

References 2 publications

Ability of the EGM2008 high degree geopotential model to calculate a local geoid model in Valencia, Eastern Spain

Ability of the EGM2008 high degree geopotential model to calculate a local geoid model in Valencia, Eastern Spain

High-precision geoid determination in small areas: A case study in Doñana National Park (Spain)

pyGABEUR-ITB: A FREE SOFTWARE FOR ADJUSTMENT OF RELATIVE GRAVIMETER DATA

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