On the accuracy of the bathymetry-generated gravitational field quantities for a depth-dependent seawater density distribution

Studia Geophysica et Geodaetica

Volumn 55, Issue 4, 2011, Pages 609-626

  Tenzer, Robert ^a   Novák, Pavel ^b   Gladkikh, Vladislav ^a  

^a UNIVERSITY OF OTAGO   (New Zealand)

^b UNIVERSITY OF WEST BOHEMIA   (Czech Republic)

Author keywords

accuracy; bathymetry; forward modelling; gravity; ocean density contrast

Indexed keywords

ACCURACY ASSESSMENT; BATHYMETRY; DEPTH DETERMINATION; ERROR ANALYSIS; FORWARD MODELING; GRAVITY FIELD; LITHOSPHERIC STRUCTURE; OCEANOGRAPHY; QUANTITATIVE ANALYSIS; SEAWATER;

EID: 80355133303     PISSN: 00393169     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11200-010-0074-y     Document Type: Article

References (40)

1. Antonov J. I., Seidov D., Boyer T. P., Locarnini R. A., Mishonov A. V. and Garcia H. E., 2010. World Ocean Atlas 2009, Volume 2, Salinity. In: Levitus S. (Ed.), NOAA Atlas NESDIS, 69. U. S. Government Printing Office, Washington, D. C.
2. Chen C.-T. and Millero F. J., 1978. The equation of state of seawater determined from sound speeds. J. Marine Res., 36, 657-691.
3. Garcia H. E., Locarnini R. A., Boyer T. P. and Antonov J. I., 2010a. World Ocean Atlas 2009, Volume 3, Dissolved Oxygen, Apparent Oxygen Utilization, and Oxygen Saturation. In: Levitus S. (Ed.), NOAA Atlas NESDIS, 70. U. S. Government Printing Office, Washington, D. C., 344 pp.
4. Garcia H. E., Locarnini R. A., Boyer T. P. and Antonov J. I., 2010b. World Ocean Atlas 2009, Volume 4, Nutrients (Phosphate, Nitrate, Silicate). In: Levitus S. (Ed.), NOAA Atlas NESDIS, 71. U. S. Government Printing Office, Washington, D. C., 398 pp.
5. Garrison T., 2001. Essentials of Oceanography. Pacific Grove, C. A., Brooks Cole.
6. Gladkikh V. and Tenzer R., 2011. A mathematical model of the global ocean saltwater density distribution. Pure Appl. Geophys. (in print, DOI: 10. 1007/s00024-011-0275-5).
7. Heiskanen W. H. and Moritz H., 1967. Physical Geodesy. W. H. Freeman and Co., San Francisco.
8. Hinze W. J., 2003. Bouguer reduction density, why 2. 67? Geophysics, 68, 1559-1560.
9. Hobson E. W., 1931. The Theory of Spherical and Ellipsoidal Harmonics. Cambridge Univ. Press, republished in 1955 by Chelsea Publishing Comp., New York.
10. Johnson D. R., Garcia H. E. and Boyer T. P., 2009. World Ocean Database 2009 Tutorial. In: Levitus S. (Ed.), NODC Internal Report, 21. NOAA Printing Office, Silver Spring, M. D.
11. Kaban M. K., Schwintzer P. and Tikhotsky S. A., 1999. Global isostatic gravity model of the Earth. Geophys. J. Int., 136, 519-536.
12. Kaban M. K. and Schwintzer P., 2001. Oceanic upper mantle structure from experimental scaling of Vs. and density at different depths. Geophys. J. Int., 147, 199-214.
13. Kaban M. K., Schwintzer P., Artemieva I. M. and Mooney W. D., 2003. Density of the continental roots: compositional and thermal contributions. Earth Planet. Sci. Lett., 209, 53-69.
14. Kaban M. K., Schwintzer P. and Reigber Ch., 2004. A new isostatic model of the lithosphere and gravity field. J. Geodesy, 78, 368-385.
15. Locarnini R. A., Mishonov A. V., Antonov J. I., Boyer T. P. and Garcia H. E., 2010. World Ocean Atlas 2009, Volume 1: Temperature. In: Levitus S. (Ed.), NOAA Atlas NESDIS, 69. U. S. Government Printing Office, Washington, D. C.
16. Mikuška J., Pašteka R. and Marušiak I., 2006. Estimation of distant relief effect in gravimetry. Geophysics, 71, J59-J69.
17. Millero F. J. and Emmet R. T., 1976. The effect of dissolved air and natural isotopic distributions on the density of water. J. Mar. Res., 34, 15-24.
18. Millero F. J., Gonzalez A. and Ward G. K., 1976. The density of seawater solutions at one atmosphere as a function of temperature and salinity. J. Mar. Res., 34, 61-93.
19. Millero F. J. and Kremling K., 1976. The densities of Baltic Sea waters. Deep-Sea Res., 23, 1129-1138.
20. Millero F. J., Chetirkin P. V. and Culkin F., 1977. The relative conductivity and density of standard seawaters. Deep-Sea Res., 24, 315-321.
21. Millero F. J., Forsht D., Means D., Gieskes J. and Kenyon K., 1978. The density of North Pacific Ocean waters. J. Geophys. Res., 83, 2359-2364.
22. Millero F. J., Chen C.-T., Bradshaw A. and Schleicher K., 1980. A new high pressure equation of state for seawater. Deep-Sea Res. Part A-Oceanogr. Res. Pap., 27, 255-264.
23. Millero F. J. and Poisson A., 1981a. International one-atmosphere equation of state of seawater. Deep-Sea Res. Part A-Oceanogr. Res. Pap., 28, 625-629.
24. Millero F. J. and Poisson A., 1981b. Density of seawater and the new international equation of state of seawater 1980. IMS Newsletter, Number 30, Special Issue 1981-1982, UNESCO, Paris, France.
25. Millero F. J., 2000. Effects of changes in the composition of seawater on the density-salinity relationship. Deep-Sea Res. Part I-Oceanogr. Res. Pap., 47, 1583-1590.
26. Millero F. J., Feistel R., Wright D. G., McDougall T. J., 2008. Deep-Sea Res. Part I-Oceanogr. Res. Pap., 55, 50-72.
27. Moritz H., 1980. Advanced Physical Geodesy. Abacus Press, Tunbridge Wells.
28. Novák P., 2010. High resolution constituents of the Earth gravitational field. Surv. Geophys., 31, 1-21.
29. Novák, P. 2010. Direct modeling of the gravitational field using harmonic series. Acta Geodyn. Geomat., 157, 35-47.
30. Pavlis N. K., Holmes S. A., Kenyon S. C. and Factor J. K., 2008. An Earth Gravitational Model to Degree 2160: EGM2008. http://www. massentransporte. de/fileadmin/2kolloquium_muc/2008-10-08/Bosch/EGM2008. pdf.
31. Rummel R., Rapp R. H., Suenkel H. and Tscherning C. C., 1988: Comparison of Global Topographic/Isostatic Models to the Earth's Observed Gravitational Field. Report 388. The Ohio State University, Columbus, Ohio.
32. Saunders P. M. and Fofonoff N. P., 1976. Conversion of pressure to depth in the ocean. Deep-Sea Res., 23, 109-111.
33. Sun W. and Sjöberg L. E., 2001. Convergence and optimal truncation of binomial expansions used in isostatic compensations and terrain corrections. J. Geodesy, 74, 627-636.
34. Tenzer R., Hamayun and Vajda P., 2008a. Global secondary indirect effects of topography, bathymetry, ice and sediments. Contrib. Geophys. Geod., 38, 209-216.
35. Tenzer R., Hamayun and Vajda P., 2008b. Global map of the gravity anomaly corrected for complete effects of the topography, and of density contrasts of global ocean, ice, and sediments. Contrib. Geophys. Geod., 38, 357-370.
36. Tenzer R., Hamayun and Vajda P., 2009a. Global maps of the CRUST 2. 0 crustal components stripped gravity disturbances. J. Geophys. Res., 114, B05408.
37. Tenzer R., Hamayun and Vajda P., 2009b. A global correlation of the step-wise consolidated crust-stripped gravity field quantities with the topography, bathymetry, and the CRUST 2. 0 Moho boundary. Contrib. Geophys. Geod., 39, 133-147.
38. Tenzer R., Vajda P. and Hamayun, 2010. A mathematical model of the bathymetry-generated external gravitational field. Contrib. Geophys. Geod., 40, 31-44.
39. Vajda P., Ellmann A., Meurers B., Vaníček P., Novák P. and Tenzer R., 2008. Global ellipsoidreferenced topographic, bathymetric and stripping corrections to gravity disturbance. Stud. Geophys. Geod., 52, 19-34.
40. Vaníček P., Najafi M., Martinec Z., Harrie L. and Sjöberg L. E., 1995. Higher-degree reference field in the generalised Stokes-Helmert scheme for geoid computation. J. Geodesy, 70, 176-182.