Abstract

Currently, seafloor topography inversion based on satellite altimetry gravity data provides the principal means to predict the global seafloor topography. Researchers often use sea surface geoid height or gravity anomaly to predict sea depth in the space domain. In this paper, a comprehensive discussion on seafloor topography inversion formulas in the space domain is presented using sea surface geoid height, gravity anomaly and introduces an approach that uses vertical gravity gradient. This would be the first study to estimate seafloor topography by vertical gravity gradient in the space domain. Further, a nonlinear iterative least-square inversion process is discussed. Using the search area for the Malaysia Airlines Flight MH370 as study site, we used the DTU17 gravity anomaly model and SIO V29.1 vertical gravity gradient to generate the seafloor topography. The results of the proposed bathymetric models were analyzed and compared with the DTU18 and SIO V20.1 bathymetric models. The experimental results show that the gravity anomaly and vertical gravity gradient in the study area are strongly correlated with the seafloor topography in the 20–200 km wavelength range. The optimal initial iteration values for seafloor topography variance and correlation length are 0.6365 km2 and 10.5′, respectively. Shipborne measurements from SONAR data were used as external checkpoints to evaluate the bathymetric models. The results show that the RMS for BAT_VGG_ILS (inversion model constructed by vertical gravity gradient) is smaller than for BAT_GA_ILS (inversion model constructed by gravity anomaly) and BAT_GA_VGG_ILS (inversion model constructed by gravity anomaly and vertical gravity gradient). The relative accuracy of the DTU18 bathymetry model was 9.27%, while the relative accuracy of the proposed seafloor models was higher than 4%. Within the 200 m difference range, the proportion of checkpoints for BAT_VGG_ILS was close to 95%, about 80% for BAT_GA_ILS and BAT_GA_VGG_ILS, and less than 50% for the DTU18. The results show that the nonlinear iterative least square method in the space domain is feasible.

Highlights

  • We evaluated the critical formulas in the space domain for seafloor topography (ST) inversion using the sea surface geoid height (GH), gravity anomaly (GA), and vertical gravity gradient (VGG) and described the design and implementation of ST inversion

  • V dv l where the subscript j represents the location of the mass cylinder (M); u is the geocentric distance of the research point; φ p and λ p are the latitude and longitude of the research point; G is the gravitational constant of the Earth; v is the volume of the mass cylinder; and

  • Relative considerably greater in BAT_GA_ILS and BAT_GA_VGG_ILS than in BAT_VGG_ILS. These findings suggest that Scripps Institution of Oceanography (SIO) V20.1 performs comparatively better compared to any other model

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Summary

Introduction

2021, 13, 64 vehicle (ROV), and bathymetry inversion using satellite altimetry gravity data. Global and regional gravity fields over the world’s oceans derived from satellite altimetry are an efficient tool for modeling ST [4]. This technology has been used for deep-sea research, exploration, and development. Ramillien and Wright set the inversion truncation wavelength to 500 km, the correlation length of the Hirvonen covariance function to 0.2◦ , and the terrain variance to 100 m–2000 m [23]. We compared our models’ performance with the DTU18 (released by the Technical University of Denmark) and SIO V20.1 (released by Scripps Institution of Oceanography) bathymetry models

Methods
Gravity Anomaly Calculation
Vertical Gravity Gradient Calculation
Geoid Height Calculation
Seafloor Topography Inversion
Results
Statistical
Seafloor
Discussion
14. Spatial
Conclusions
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