Abstract
Bathymetry is the measurement of the water depth similar to underwater topography. Gravity anomaly and vertical gravity gradient are important data used to inverse bathymetry. In this study, we investigate the sensitivities of the gravity anomalies and vertical gravity gradient data to bathymetry inversion. Firstly, the formulas of the gravity anomaly and vertical gravity gradient signals produced by the seabed terrain are derived, and then a series of numerical studies are designed to investigate the sensitivities. The results show that gravity anomalies and vertical gravity gradients have different sensitive bands to bathymetry inversion. Therefore, accuracy requirements for the gravity anomaly and vertical gravity gradient data are different for bathymetry inversion with different spatial resolutions and accuracies. With decreasing resolution, the accuracy requirement of the gravity anomaly gradually decreases, whereas the accuracy requirement of the vertical gravity gradient first decreases and then increases, indicating that the vertical gravity gradient is more sensitive to the short-wavelength signal than the gravity anomaly, especially in the 0–20 km wavelength ranges. In addition, we perform a theoretical analysis that shows that the vertical gravity gradient has a band that is most sensitive to the seafloor topography. This study is capable to provide a reference for the design of future satellites to retrieve the bathymetry.
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References
Bao L, Hsu H, Li Z et al (2013) Towards a 1 mGal accuracy and 1 min resolution altimetry gravity field. J Geodesy 87:961–969
Calmant S (1994) Seamount topography by least-squares inversion of altimetric geoid heights and shipborne profiles of bathymetry and/or gravity anomalies. Geophys J Int 119:428–452
Calmant S, Baudry N (1996) Modelling bathymetry by inverting satellite altimetry data: a review. Mar Geophys Res 18:12–134
Dixon T, Naraghi M (1983) Bathymetric prediction from SEASAT altimeter data. J Geophys Res 88:1563–1571
Fu LL, Alsdorf D, Morrow R, Rodriguez E, Mognard N (2012) SWOT: the surface water and ocean topography mission. Academic Press, New York
Hsiao Y, Kim J, Kim K, Lee BY, Hwang C (2011) Bathymetry estimation using the gravity-geologic method: an investigation of density contrast predicted by downward continuation method. Terr Atmos Ocean Sci 21(3):347–358
Hsiao YS, Hwang C, Cheng YS, Chen LC, Hsu HJ, Tsai JH, Liu CL, Wang CC, Liu YC, Kao YC (2016) High-resolution depth and coastline over major atolls of South China Sea from satellite altimetry and imagery. Remote Sens Environ 176:69–83
Hu M, Li J, Li H et al (2014a) Predicting global seafloor topography using multi-source data. Mar Geodesy. https://doi.org/10.1080/01490419.2014.934415
Hu M, Li H, Shen C (2014b) A program for bathymetry prediction form vertical gravity gradient anomalies and ship soundings. Arab J Geosci. https://doi.org/10.1007/s12517-014-1570-0
Hwang C (1998) Inverse vening meinesz formula and deflection-geoid formula: applications to the predictions of gravity and geoid over the South China Sea. J Geodesy 72(5):304–312
Hwang C (1999) A bathymetric model for the south China Sea from altimetry and depth data. Mar Geodesy 22:37–51
Ibrahim A, Hinze W (1972) Mapping buried bedrock topography with gravity. Ground Water 10:18–23
Jena B, Swain D, Tyagi A et al (2012) Prediction of bathymetry from satellite altimeter based gravity in the Arabian sea: mapping of two unnamed deep seamounts. Int J Appl Earth Obs Geoinf 12:1–4
Kim S, Wessel P (2015) Finding seamounts with altimetry-derived gravity data. In: Proceedings of Oceans 2015: MTS/IEEE Washington. https://doi.org/10.23919/OCEANS.2015.7401883
Kim S, Wessel P (2016) New analytic solutions for modeling vertical gravity gradient anomalies. Geochem Geophys Geosyst 17:1915–1924. https://doi.org/10.1002/2016GC006263
Kim KB, Hsiao YS, Kim JW, Lee BY, Kwon YK, Kim CH (2010) Bathymetry enhancement by altimetry-derived gravity anomalies in the East Sea (Sea of Japan). Mar Geophys Res 31(4):285–298
Kim J, Frese R, Lee B, Roman DR, Doh SJ (2011) Altimetry-derived gravity predictions of bathymetry by gravity-geologic method. Pure Appl Geophys 168:815–826
Molodensky MC (1960) The gravity field and figure of the earth. Tp. LIHNNTIIK 131
Moritz H (2005) Physical geodesy, second correction edtion. Springer, New York
Ouyang M, Sun Z, Zhai Z (2014) Predicting bathymetry in south china sea using the gravity-greologic method. Chin J Geophys 57:2756–2765
Proakis JG, Manolakis DG (2007) Digital signal processing: principles, algorithms & applications, 3rd edn. Prentice Hall, Upper Saddle River
Rummel R, Haagmans RHN (1990) Gravity gradients from satellite altimetry. Mar Geodesy 14:1–12. https://doi.org/10.1080/15210609009379641
Sandwell D, Smith W, Gille S, Jayne S, Soofi K, Coakley B (2001) Bathymetry from space: white paper in support of a high-resolution, ocean altimeter mission. Scripps Institution of Oceanography, San Diego, pp 1–54
Sandwell D, Smith W, Gille S, Kappel E, Jayne S, Soofi K, Coakley B, Geli L (2006) Bathymetry from space: rationale and requirements for a new, high-resolution altimetric mission. C R Geosci 338(14–15):1049–1062
Sandwell D, Muller R, Smith W, Richard F (2014a) New global marine gravity model from CryoSat-2 and Jason-1 reveals buried tectonic structure. Science 346(6205):65–67
Sandwell D, Carcla E, Smith W (2014b) Recent improvements in Arctic and Antarctic marine gravity: unique contributions from CryoSat-2, Jason-1, Envisat, Geosat and ERS-1/2, American Geophysical Union (AGU)
Smith W, Sandwell D (1997) Global sea floor topography from satellite altimetry and ship depth soundings. Science 277:1956–1962
Stenseng L, Andersen O (2012) Preliminary gravity recovery from CryoSat-2 data in the Baffin Bay. Adv Space Res 50:1158–1163
Sui X, Zhang R, Wu F, Li Y, Wan X (2017) Sea surface height measuring using InSAR altimeter. Geodesy Geodyn. https://doi.org/10.1016/j.geog.2017.03.005
Wan X, Zhang R, Li Y, Liu B, Sui X (2017) Matching relationship between precisions of gravity anomaly and vertical deflections in terms of spherical harmonic function. Acta Geod Cartogr Sin 46(6):706–713
Wang Y (2000) Predicting bathymetry from the Earth’s gravity gradient anomalies. Mar Geod 23(4):251–258
Wang Y, Xu H, Zhan J (2001) High resolution bathymetry of China seas and their surroundings. Chin Sci Bull 19:956–960
Xiang X, Wan X, Zhang R et al (2017) Bathymetry inversion with gravity-geologic method: a study of long-wavelength gravity modeling based on adaptive mesh. Mar Geodesy 40(5):329–340. https://doi.org/10.1080/01490419.2017.1335257
Acknowledgements
This work is funded by the National Nature Science funds of China (Nos. 41674026, 41404019, 41506076), the open fund of Key Laboratory of Space Utilization, Chinese Academy of Sciences (CSU-WX-A-KJ-2016-044) and China Ocean Mineral Resources R&D Association project (S2-2-06).
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Wan, X., Ran, J. & Jin, S. Sensitivity analysis of gravity anomalies and vertical gravity gradient data for bathymetry inversion. Mar Geophys Res 40, 87–96 (2019). https://doi.org/10.1007/s11001-018-9361-8
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DOI: https://doi.org/10.1007/s11001-018-9361-8