Abstract
There are two dominating approaches of modeling the marine gravity field based on satellite altimetry observations. In this study, the marine gravity field is determined in four selected areas (Northwestern Atlantic, Hawaii ocean area, Mariana Trench area, and Aegean Sea) by using exact same input datasets but different methods which are based on sea surface height (SSH) and sea surface slope (SSS), respectively. The impact of the methodology is evaluated by conducting validations with shipborne gravity observation. The CryoSat-2, Jason-1/2, and SARAL/Altika geodetic mission data (similarly 3-year-long time series) are firstly retracked by the two-pass retracker. After that, the obtained SSHs are used for the derivation of geoid undulations and vertical deflections, and then for the resulting marine gravity field separately. The validation results indicate that the SSH-based method has advantages in robustly estimating marine gravity anomalies near the coastal zone. The SSS-based method has advantages over regions with intermedium ocean depths (2000–4000 m) where seamounts and ridges are found, but obvious disadvantages when the ocean currents flow along the north–south direction (e.g., western boundary currents) or the topography features north–south directional trenches. In the deep ocean where the seafloor topography is plain and smooth, the two methods have similar accuracy.
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Data availability
The gridded gravity anomalies in NetCDF format for two gravity recovery methods in four research regions will be available via public server (ftp://ftp.space.dtu.dk/pub/Altimetry/Shengjun_ MethodComparison).
References
Andersen OB, Knudsen P (1998) Global marine gravity field from the ERS-1 and Geosat geodetic mission altimetry. J Geophys Res 103:8129–8137
Andersen OB, Knudsen P (2019) The DTU17 global marine gravity field: first validation results. In: International association of geodesy symposia, Berlin, Heidelberg. https://doi.org/10.1007/1345_2019_65
Andersen OB, Scharroo R (2011) Range and geophysical corrections in coastal regions: and implications for mean sea surface determination. In: Vignudelli S, Kostianoy A, Cipollini P, Benveniste J (eds) Coastal altimetry. Springer, Berlin, pp 103–146
Andersen OB, Knudsen P, Berry PAM (2010) The DNSC08GRA global marine gravity field from double retracked satellite altimetry. J Geod 84(3):191–199
Andersen OB, Knudsen P, Kenyon S, Holmes S (2014) Global and Arctic marine gravity field from recent satellite altimetry (DTU13). In: Proceedings 76th EAGE conference and exhibition 2014, Amsterdam RAI, the Netherlands. http://doi.org/https://doi.org/10.3997/2214-4609.20140897
Barzaghi R, Carrion D, Pepe M, Prezioso G (2016) Computing the deflection of the vertical for improving aerial surveys: a comparison between EGM2008 and ITALGEO05 estimates. Sensors 16(8):1168
Barzaghi R, Carrion D, Vergos GS, Tziavos IN et al (2019) GEOMED2: high-resolution geoid of the mediterranean. In: Sánchez L, Freymueller JT (eds) International symposium on advancing geodesy in a changing world—proceedings of the IAG scientific assembly. International Association of Geodesy Symposia, vol 149. Springer, pp 43–49
Brown G (1977) The average impulse response of a rough surface and its applications. IEEE Trans Antennas Propag 25:67–74
Catalao J (2006) Iberia-Azores Gravity Model (IAGRM) using multi-source gravity data. Earth Planets Space 58(3):277–286
Featherstone W, Holmes S, Kirby JF, Kuhn M (2004) Comparison of remove-compute-restore and university of new brunswick techniques to geoid determination over Australia, and inclusion of wiener-type filters in reference field contribution. J Surv Eng 130:1. https://doi.org/10.1061/(ASCE)0733-9453(2004)130:1(40)
Forsberg R, Tscherning CC (1981) The use of height data in gravity field approximation by collocation. J Geophys Res Solid Earth 86(B9):7843–7854
Fu L-L, Cazenave A (2001) Satellite altimetry and earth sciences: a handbook of techniques and applications. Academic, San Diego
Fu LL, Ubelmann C (2013) On the transition from profile altimeter to swath altimeter for observing global ocean surface topography. J Atmos Ocean Technol 31:560–568
Garcia ES, Sandwell DT, Smith WHF (2014) Retracking CryoSat-2, Envisat, and Jason-1 radar altimetry waveforms for improved gravity field recovery. Geophys J Int 196(3):1402–1422
GEBCO Bathymetric Compilation Group 2020 (2020) The GEBCO_2020 Grid—a continuous terrain model of the global oceans and land. British Oceanographic Data Centre, National Oceanography Centre, NERC, UK. https://doi.org/10.5285/a29c5465-b138-234d-e053-6c86abc040b9
Green CM, Fletcher KMU, Cheyney S, Dawson GJ, Campbell SJ (2019) Satellite gravity—enhancements from new satellites and new altimeter technology. Geophys Prospect 67(6):1611–1619
Harrison JC (1955) An Interpretation of Gravity Anomalies in the Eastern Mediterranean. Philos Trans R Soc Lond Ser A Math Phys Sci 248(947):283–325
Hofmann-Wellenhof B, Moritz H (2005) Physical geodesy. Springer, Berlin. ISBN: 3211274677, 9783211274675
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 72:304–312
Hwang C, Hsu H, Jang R (2002) Global mean sea surface and marine gravity anomaly from multi-satellite altimetry: applications of deflection-geoid and inverse Vening Meinesz formulae. J Geod 76:407–418
Khaki M, Forootan E, Sharifi M, Awange J, Kuhn M (2015) Improved gravity anomaly fields from retracked multimission satellite radar altimetry observations over the Persian Gulf and the Caspian Sea. Geophys J Int 202(3):1522–1534
Knudsen P, Brovelli M (1993) Collinear and cross-over adjustment of geosat erm and seasat altimeter data in the mediterranean sea. Surv Geophys 14(4–5):449–459
Li J, Sideris M (1997) Marine gravity and geoid determination by optimal combination of satellite altimetry and shipborne gravimetry data. J Geodesy 71:209–216
Lu B, Barthelmes F, Li M, Förste C et al (2019) Shipborne gravimetry in the Baltic Sea: data processing strategies, crucial findings and preliminary geoid determination tests. J Geodesy 93:1059–1071
McAdoo DC, Farrell SL, Laxon S, Ridout A, Zwally HJ, Yi D (2013) Gravity of the Arctic Ocean from satellite data with validations using airborne gravimetry: oceanographic implications. J Geophys Res Ocean 118(2):917–930
Olgiati A, Balmino G, Sarrailh M, Green CM (1995) Gravity anomalies from satellite altimetry: comparison between computation via geoid heights and via deflections of the vertical. Bull Géodésique 69(4):252–260
Pavlis NK, Holmes SA, Kenyon SC, Factor JK (2012) The development and evaluation of the earth gravitational model 2008 (EGM2008). J Geophys Res V117:B04406. https://doi.org/10.1029/2011JB008916
Sandwell DT, Smith WHF (1997) Marine gravity anomaly from Geosat and ERS-1 satellite altimetry. J Geophys Res 102:10039–10054
Sandwell DT, Smith WHF (2005) Retracking ERS-1 altimeter waveforms for optimal gravity field recovery. Geophys J Int 163(1):79–89
Sandwell DT, Smith WHF (2009) Global marine gravity from retracked Geosat and ERS-1 altimetry: ridge segmentation versus spreading rate. J Geophys Res 114(B1):B01411
Sandwell DT, Garcia ES, Soofi K, Wessel P, Chandler M, Smith WHF (2013) Towards 1-mGal accuracy in global marine gravity from Cryosat-2, Envisat and Jason-1. Lead Edge 32:892–898
Sandwell DT, Müller RD, Smith WHF et al (2014) New global marine gravity model from CryoSat-2 and Jason-1 reveals buried tectonic structure. Science 346(6205):65–67
Sandwell DT, Harper H, Tozer B, Smith WHF (2019) Gravity field recovery from geodetic altimeter missions. Adv Space Res. https://doi.org/10.1016/j.asr.2019.09.011
Schwarz K, Sideris M, Forsberg R (1990) The use of fft techniques in physical geodesy. Geophys J Int 100(3):485–514
Stammer D, Cazenave A (ed) (2017) Satellite altimetry over oceans and land surfaces. CRC Press, Boca Raton. https://doi.org/10.1201/9781315151779
Stenseng L, Andersen OB (2012) Preliminary gravity recovery from CryoSat-2 data in the Baffin Bay. Adv Space Res 50(8):1158–1163
Wessel P, Smith WHF, Scharroo R, Luis JF, Wobbe F (2013) Generic mapping tools: improved version released. EOS Trans AGU 94:409–410
Yildiz H, Forsberg R, Ågren J, Tscherning CC, Sjöberg LE (2012) Comparison of remove-compute-restore and least squares modification of Stokes’ formula techniques to quasi-geoid determination over the Auvergne test area. J Geodetic Sci 2(1):53–64
Zaki A, Mansi AH, Selim M, Rabah M, Fiky GE (2018) Comparison of satellite altimetric gravity and global geopotential models with Shipborne gravity in the red sea. Mar Geodesy 41(3):258–269
Zhang S, Sandwell DT (2017) Retracking of SARAL/AltiKa radar altimetry waveforms for optimal gravity field recovery. Mar Geodesy 40(1):40–56
Zhang S, Sandwell DT, Jin T, Li D (2017) Inversion of marine gravity anomalies over southeastern China seas from multi-satellite altimeter vertical deflections. J Appl Geophys 137:128–137
Zhang S, Li J, Jin T, Che D (2018) Assessment of radar altimetry correction slopes for marine gravity recovery: a case study of Jason-1 GM data. J Appl Geophys 151:90–102
Zhang S, Andersen OB, Kong X, Li H (2020) Inversion and validation of improved marine gravity field recovery in South China Sea by incorporating HY-2A altimeter waveform data. Remote Sens 12:802
Zhu C, Guo J, Hwang C et al (2019) How HY-2A/GM altimeter performs in marine gravity derivation: assessment in the South China Sea. Geophys J Int 219:1056–1064
Zhu C, Guo J, Gao J, Hwang C et al (2020) Marine gravity determined from multi-satellite GM/ERM altimeter data over the South China Sea SCSGA V10. J Geodesy 94:50
Acknowledgements
The multi-satellite altimeter data were provided by CNES and ESA, while the ship-borne gravimetric data were provided by NGA and GEOMED2 project. SIO and DTU kindly proved global marine gravity models for comparison. Zhang is supported by the National Nature Science Foundation of China, Grant No. 41804002, by the State Scholarship Fund of China Scholarship Council, Grant No. 201906085024, by Fundamental Research Funds for the Central Universities.
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Conception or design of the work was contributed by SZ, AA, and OBA; Data analysis and interpretation were contributed by SZ, AA, and OBA; Writing—original draft preparation, was contributed by SZ; Writing—review and editing, was contributed by AA and OBA; Critical revision of the article was contributed by DTS; Marine data collection was contributed by JRB.
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Zhang, S., Abulaitijiang, A., Andersen, O.B. et al. Comparison and evaluation of high-resolution marine gravity recovery via sea surface heights or sea surface slopes. J Geod 95, 66 (2021). https://doi.org/10.1007/s00190-021-01506-8
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DOI: https://doi.org/10.1007/s00190-021-01506-8