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Ellipsoidal Harmonic Forward Model derived from Earth2014 topographies up to d/o 7200: EHFM_Earth_7200

Cite as:

Liu, Cong; Wang, Zhengtao (2024): Ellipsoidal Harmonic Forward Model derived from Earth2014 topographies up to d/o 7200: EHFM_Earth_7200. GFZ Data Services. https://doi.org/10.5880/icgem.2024.002

Status

I   N       R   E   V   I   E   W : Liu, Cong; Wang, Zhengtao (2024): Ellipsoidal Harmonic Forward Model derived from Earth2014 topographies up to d/o 7200: EHFM_Earth_7200. GFZ Data Services. https://doi.org/10.5880/icgem.2024.002

Abstract

The model named EHFM_Earth_7200 was derived by layer-based forward modeling technique in ellipsoidal harmonics, the maximum degree of this model reaches 7200. The relief information was provided by Earth2014 relief model. EHFM_Earth_7200 provides very detailed (~3 km) information for the Earth’s short-scale gravity field, and it is expected to be able to augment or refine existing global gravity models. To meet the existing standard, here we provide spherical harmonic coefficients, which are transformed from original ellipsoidal harmonic coefficients. The maximum degree of the spherical harmonic coefficients is 7300.

Methods

- Compute global equiangular reduced latitude grids from degree 10800 Earth2014 SHCs and expanded these grids into EHCs. The grids are band-limited in spherical harmonics instead of in ellipsoidal harmonics so extra degrees beyond the truncation degree are also calculated. We obtained surface EHCs up to degree and order (d/o) 11000 but truncated them to d/o 7200.

- Calculate potential models of three layers (crust, water and ice) separately from Earth2014 reliefs by new developed ellipsoidal harmonic forward modeling formulas. The densities of the three layers are 2670, 1030, and 917 kg/m^3.

- Sum up results from the three layers and obtain EHFM_Earth_7200 ellipsoidal harmonic coefficients.

- Convert ellipsoidal harmonic coefficients to spherical harmonic coefficients. The maximum degree of the spherical harmonic coefficients is 7300.

Authors

  • Liu, Cong;School of Geodesy and Geomatics, Wuhan University, China
  • Wang, Zhengtao;School of Geodesy and Geomatics, Wuhan University, China

Contact

  • Liu, Cong; School of Geodesy and Geomatics, Wuhan University;

Keywords

Gravity forward modeling, Ellipsoidal topographic potential, Spectral domain, Layer concept, ICGEM, geodesy, topographic gravity field model

GCMD Science Keywords

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    License: CC BY 4.0