Abstract
At present, there exist two types of methods to recover the bathymetry from altimeter data, i.e. the deterministic method and the stochastic one. This paper first reviews the general principles of the two aforementioned methods in order to form the basis for the development of the new approach. Then, based on the theory of least-squares collocation, a modified statistical model for recovering bathymetry from altimeter data is proposed. The new model is used to compute the ocean depth in the South China Sea from altimetry-derived gravity anomalies. Finally the predicted depths are compared to the shipborne ones. The results show that the achievable agreement is very good. Taking into account the existence of errors in the shipborne depths, it can be believed that the relative error of altimetry-derived depths reaches the level of about 7%.
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References
Andersen, O., and P. Knudsen (1998). Global Marine Gravity Field from the ERS-1 and GEOSAT Geodetic Mission Altimetry, J Geophys Res, 103, pp. 8129–8137.
Arabelos, D. (1997). On the Possibility to Estimate Ocean Bottom Topography from Marine Gravity and Satellite Altimeter Data Using Collocation, In: R. Forsberg, M. Feissel, And R. Dietrich (Eds.), Geodesy On The Move, IAG Symposia 119, Berlin: Springer Press.
Calmant, S., and N. Baudry (1996) Modelling Bathymetry by Inverting Satellite Altimetry Data: A Review, Mar Geophys Res, 18, pp. 123–134.
Dixon, T.H., et al. (1983). Bathymétric Prediction from Seasat Altimeter Data, J Geophys Res, 88, pp. 1563–1571.
Huang, M.T., G J. Zhai, Z. Guan, et al. (2001) On the Recovery of Gravity Anomalies from Altimeter Data, Acta Geodaetica et Cartographica Sinica, 30, pp. 179–184.
Hwang, C, E.C. Kao and B. Parsons (1998). Global Derivation of Marine Gravity Anomalies from Seasat, Geosat, ERS-1 and TOPEX/POSEIDON Altimeter Data, Geophys J Int, 134, pp. 449–459.
Hwang, C. (1999). A Bathymétrie Model for the South China Sea from Satellite Altimetry and Depth Data, Mar Geod, 22, pp. 37–51.
Hwang, C, E.C. Kao and B. Parsons (1998). Global Derivation of Marine Gravity Anomalies from SEASAT, Geosat, ERS-1 and TOPEX/POSEIDON Altimeter Data, Geophys J Int, 134, pp. 449–459.
Knudsen, P., and O. Andersen (1997). Improved Recovery of the Global Marine Gravity Field from the GEOSAT and the ERS-1 Geodetic Mission, In: Segawa J, Fujimoto H, Okubo S (Eds), IAG Symposia 117, pp. 461–469.
Lemoine, F. G, S.C. Kenyon, J.K. Factor, et al. (1998). The Development of the Joint NASA GSFC and National Imagery and Mapping Agency (NIMA) Geo-Potential Model EGM96, Maryland: Goddard Space Flight Center.
Moritz, H. (1980). Advanced Physical Geodesy, England: Abacus Press.
Parker, R.L. (1972). The Rapid Calculation of Potential Anomalies, Geophys J Roy Astron Soc, 31, pp. 447–455.
Ramillien, G, and A. Cazenave (1997). Global Bathymetry Derived from Altimeter Data of the ERS-1 Geodetic Mission, J.Geodyn, 23, pp. 129–149.
Sandwell, D., and W. Smith (1997). Marine Gravity Anomaly from Geosat and ERS-1 Satellite Altimetry, J Geophys Res, 102, pp. 10039–10054.
Siemens, C.W. (1876). On Determining the Depth of the Sea without the Use of a Sounding Line, London: Philos. Trans R.Soc. London.
Smith, W.H., and D.T. Sandwell (1994) Bathymétrie Prediction from Dense Satellite Altimetry and Sparse Shipboard Bathymetry, J Geophys Res, 99, pp. 21803–21824.
Tihkov, A.N., and V.Y. Arsenin (1997). Solutions of Ill-Posed Problem. New York, Wiley.
Tscherning, C. C, P. Knudsen and R. Forsberg (1994). First Experiments with Improvement of Depth Information Using Gravity Anomalies in the Mediterranean Sea, In: Arabelos D And Tziavos IN (Eds.), Mare Nostrum. Thessaloniki: Department of Geodesy and Surveying University of Thessaloniki.
Vergos, GS., and M. G Sideris (2002). Improving the Estimates of Bottom Ocean Topography with Altimetry Derived Gravity Data Using the Integrated Inverse Method, IAG Symposia 125, Vistas for Geodesy in the Millennium, J. Adam and K.P. Schwarz (Eds.), Springer-Verlag, pp. 529–534.
Watts, A.B. (1978). An Analysis of Isostasy of the World’s Ocean, J Geophys Res, 83, pp. 5989–6004.
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Guojun, Z., Motao, H., Yongzhong, O., Shaofeng, B., Yanchun, L., Chuanyong, L. (2003). A Modified Method for Recovering Bathymetry from Altimeter Data. In: Hwang, C., Shum, C.K., Li, J. (eds) Satellite Altimetry for Geodesy, Geophysics and Oceanography. International Association of Geodesy Symposia, vol 126. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18861-9_10
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DOI: https://doi.org/10.1007/978-3-642-18861-9_10
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