Abstract

XGM2019e is a combined global gravity field model represented by spheroidal harmonics up to degree and order (d/o) 5399, corresponding to a spatial resolution of 2′ (~ 4 km). As data sources, it includes the satellite model GOCO06s in the longer wavelength range up to d/o 300 combined with a ground gravity grid which also covers the shorter wavelengths. The ground data consist over land and ocean of gravity anomalies provided by courtesy of NGA (15′ resolution, identical to XGM2016) augmented with topographically derived gravity information over land (EARTH2014). Over the oceans, gravity anomalies derived from satellite altimetry are used (DTU13 with a resolution of 1′). The combination of the satellite data with the ground gravity observations is performed by using full normal equations up to d/o 719 (15′). Beyond d/o 719, a block-diagonal least squares solution is calculated for the high-resolution ground gravity data (from topography and altimetry). All calculations are performed in the spheroidal harmonic domain. In the spectral band up to d/o 719, the new model shows a slightly improved behaviour in the magnitude of a few mm RMS over land as compared to preceding models such as XGM2016, EIGEN6c4 or EGM2008 when validated with independent geoid information derived from GNSS/levelling. Over land and in the spectral range above d/o 719, the accuracy of XGM2019e marginally suffers from the sole use of topographic forward modelling, and geoid differences at GNSS/levelling stations are increased in the order of several mm RMS in well-surveyed areas, such as the US and Europe, compared to models containing real gravity data over their entire spectrum, e.g. EIGEN6c4 or EGM2008. However, GNSS/levelling validation also indicates that the performance of XGM2019e can be considered as globally more consistent and independent of existing high-resolution global models. Over the oceans, the model exhibits an enhanced performance (equal or better than preceding models), which is confirmed by comparison of the MDT’s computed from CNES/CLS 2015 mean sea surface and the high-resolution geoid models. The MDT based on XGM2019e shows fewer artefacts, particularly in the coastal regions, and fits globally better to DTU17MDT which is considered as an independent reference MDT.

Highlights

  • The precise knowledge of Earth’s gravity field is crucial for a multitude of geosciences as it can be used to deploy vertical reference frames and to give insights into the distribution of masses in the system Earth

  • With XGM2019e, we present a new model that is independent of EGM2008: as ground gravity data, it solely includes a primary 15′ gravity anomaly grid augmented with topographic information over land and gravity anomalies derived from altimetry over sea

  • Other changes are the application of spheroidal harmonics instead of spherical harmonics and the complete reimplementation of the associated Legendre function routines, which eventually enable the calculation of spherical/spheroidal harmonics up to very high d/o

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Summary

Introduction

The precise knowledge of Earth’s gravity field is crucial for a multitude of geosciences as it can be used to deploy vertical reference frames and to give insights into the distribution of masses in the system Earth. With the introduction of the release 6 series of GOCE gravity field models, new improved combined satellite-only models such as GOCO06s (Kvas et al 2019b) have emerged This allows the calculation of new high-resolution combined gravity field models, with the intention to optimally merge satellite-only models with terrestrial, altimetric and topographic gravity information, such that each data source keeps its high-quality information without using information from pre-existing high-resolution models. In comparison with the precursor model XGM2016 (Pail et al 2018), some new techniques regarding the combination strategy are introduced with XGM2019e These include the new and improved empirical weighting approach for the ground gravity observations and a newly developed spectral filter technique in the spatial domain Other changes are the application of spheroidal harmonics instead of spherical harmonics and the complete reimplementation of the associated Legendre function routines, which eventually enable the calculation of spherical/spheroidal harmonics up to very high d/o (remark: the term spheroid is used to denote ellipsoids of revolution and to differentiate from arbitrary 3-axis ellipsoids)

Data sources
The GOCO06s satellite‐only gravity field model
Combination strategy and results
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Compilation of XGM2019e
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Validation and discussion
MDT comparisons
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Provision of XGM2019e
Outlook
Findings
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Full Text
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