The Bathymetric Stripping Corrections to Gravity Field Quantities for a Depth-Dependent Model of Seawater Density

References

• Abramowitz , M. and Stegun , I. A. 1972 . Handbook of mathematical functions with formulas, graphs, and mathematical tables , New York : Dover Publications .
   Google Scholar
• Antonov , J. I. , Seidov , D. , Boyer , T. P. , Locarnini , R. A. , Mishonov , A. V. and Garcia , H. E. 2010 . World ocean atlas 2009, Vol. 2: Salinity, NOAA Atlas NESDIS 69 , Edited by: Levitus , S. Washington, DC : U.S. Government Printing Office .
   Google Scholar
• Chen , C. T. and Millero , F. J. 1978 . The equation of state of seawater determined from sound speeds . J. Marine Res. , 36 : 657 – 691 .
   Web of Science ®Google Scholar
• Ekman , V. W. 1908 . Die Zusammendrueckbarkeit des Meerwassers nebst einigen Werten fuer Wasser und Quecksilber, Publication de circonstance . Conseil permanent international pour l’exploration de la mer , 43 : 1 – 47 .
   Google Scholar
• Garcia , H. E. , Locarnini , R. A. , Boyer , T. P. and Antonov , J. I. 2010a . “ World ocean atlas 2009, Vol. 3: Dissolved oxygen, apparent oxygen utilization, and oxygen saturation, NOAA Atlas NESDIS 70 ” . Edited by: Levitus , S. Washington, DC : U.S. Government Printing Office .
   Google Scholar
• Garcia , H. E. , Locarnini , R. A. , Boyer , T. P. and Antonov , J. I. 2010b . “ World ocean atlas 2009, Vol. 4: Nutrients (phosphate, nitrate, silicate), NOAA Atlas NESDIS 71 ” . Edited by: Levitus , S. Washington, DC : U.S. Government Printing Office .
   Google Scholar
• Garrison , T. 2001 . Essentials of oceanography , Pacific Grove, CA : Brooks Cole .
   Google Scholar
• Gladkikh , V. and Tenzer , R. 2010 . A mathematical model of the global ocean saltwater density distribution . Pure and Applied Geophysics , doi: 10.1007/s00024-011-0275-5
   Web of Science ®Google Scholar
• Gouretski , V. V. and Koltermann , K. P. 2004 . “ Berichte des Bundesamtes für Seeschifffahrt und Hydrographie, Nr ” . 35
   Google Scholar
• Heiskanen , W. H. and Moritz , H. 1967 . Physical geodesy , San Francisco : W.H. Freeman and Co .
   Google Scholar
• Hinze , W. J. 2003 . Bouguer reduction density, why 2.67? . Geophysics , 68 ( 5 ) : 1559 – 1560 .
   Web of Science ®Google Scholar
• Johnson , D. R. , Garcia , H. E. and Boyer , T. P. 2009 . “ World ocean database 2009 tutorial, NODC Internal Report 21 ” . Edited by: Levitus , S. Silver Spring, MD : NOAA Printing Office .
   Google Scholar
• Kaban , M. K. , Schwintzer , P. and Tikhotsky , S. A. 1999 . Global isostatic gravity model of the earth . Geophys. J. Int. , 136 : 519 – 536 .
   Web of Science ®Google Scholar
• Kaban , M. K. and Schwintzer , P. 2001 . Oceanic upper mantle structure from experimental scaling of vs. density at different depths . Geophys. J. Int. , 147 : 199 – 214 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Kaban , M. K. , Schwintzer , P. and Reigber , Ch. 2004 . A new isostatic model of the lithosphere and gravity field . J. Geod. , 78 : 368 – 385 .
   Web of Science ®Google Scholar
• Knudsen , M. 1901 . Hydrographical tables, GEC , Copenhagen : Gad .
   Google Scholar
• Locarnini , R. A. , Mishonov , A. V. , Antonov , J. I. , Boyer , T. P. and Garcia , H. E. 2010 . “ World ocean atlas 2009, Vol. 1: Temperature, NOAA Atlas NESDIS 68 ” . Edited by: Levitus , S. Washington, DC : U.S. Government Printing Office .
   Google Scholar
• Mikuška , J. , Pašteka , R. and Marušiak , I. 2006 . Estimation of distant relief effect in gravimetry . Geophysics , 71 : J59 – J69 .
   Web of Science ®Google Scholar
• Millero , F. J. and Emmet , R. T. 1976 . The effect of dissolved air and natural isotopic distributions on the density of water . J. Marine Res. , 34 : 1 – 24 .
   Web of Science ®Google Scholar
• 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. Marine Res. , 34 : 61 – 93 .
   Web of Science ®Google Scholar
• Millero , F. J. and Kremling , K. 1976 . The densities of Baltic Sea waters . Deep-Sea Res. , 23 : 1129 – 1138 .
   Google Scholar
• Millero , F. J. , Chetirkin , P. V. and Culkin , F. 1977 . The relative conductivity and density of standard seawaters . Deep-Sea Res. , 24 : 315 – 321 .
   Google Scholar
• Millero , F. J. , Forsht , D. , Means , D. , Gieskes , J. and Kenyon , K. 1978 . The density of North Pacific Ocean waters . J. Geoph. Res. , 83 : 2359 – 2364 .
   Web of Science ®Google Scholar
• Millero , F. J. , Chen , C. T. , Bradshaw , A. and Schleicher , K. 1980 . A new high pressure equation of state for seawater . Deep-Sea Res. , 27 : 255 – 264 .
   Google Scholar
• Millero , F. J. and Poisson , A. 1981a . International one-atmosphere equation of state of seawater . Deep-Sea Res. , 28 : 625 – 629 .
   Google Scholar
• Millero , F. J. and Poisson , A. 1981b . “ Density of seawater and the new international equation of state of seawater 1980 ” . In I.M.S. Newsletter , Special Issue 1981–1982 Edited by: Wright , G. 30 Paris : UNESCO .
   Google Scholar
• Millero , F. J. 2000 . Effects of changes in the composition of seawater on the density–salinity relationship . Deep-Sea Res. , 47 : 1583 – 1590 .
   Google Scholar
• Millero , F. J. , Feistel , R. , Wright , D. G. and McDougall , T. J. 2008 . Deep-sea res., Part I: Oceanographic research papers , 55 ( 1 ) : 50 – 72 .
   Web of Science ®Google Scholar
• Moritz , H. 1980a . Advanced physical geodesy , Karlsruhe , , Germany : Wichmann .
   Google Scholar
• Moritz , H. 1980b . Geodetic reference system 1980 . Bulletin Geodesique , 54 : 395 – 405 .
   Google Scholar
• Novák , P. 2010 . High resolution constituents of the earth gravitational field . Surv. Geoph. , 31 ( 1 ) : 1 – 21 .
   Web of Science ®Google Scholar
• Novotný , O. 1982 . On the addition theorem for Legendre polynomials . Travaux Géophysic. , 30 : 33 – 45 .
   Google Scholar
• Pavlis , N. K. , Holmes , S. A. , Kenyon , S. C. and Factor , J. K. 2008 . “ An earth gravitational model to degree 2160: EGM2008. Presented at the 2008 General Assembly of the European Geosciences Union, April, in Vienna ” . Austria
   Google Scholar
• Phillips , R. and Lambeck , K. 1980 . Gravity fields of the terrestrial planets: Long-wavelength anomalies and tectonics . Rev. Geophys. Space Phys. , 18 : 27 – 76 .
   Web of Science ®Google Scholar
• 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 ” . Tech. Report, Dept. of Geodetic Science, Vol. 388 Columbus , Ohio : The Ohio State University .
   Google Scholar
• Smith , W. H.F. and Sandwell , D. T. 1997 . Global seafloor topography from satellite altimetry and ship depth soundings . Science , 27 : 1957 – 1962 .
   Google Scholar
• Saunders , P. M. and Fofonoff , N. P. 1976 . Conversion of pressure to depth in the ocean . Deep-Sea Res. , 23 : 109 – 111 .
   Google Scholar
• Sun , W. and Sjöberg , L. E. 2001 . Convergence and optimal truncation of binomial expansions used in isostatic compensations and terrain corrections . J. Geod. , 74 : 627 – 636 .
   Web of Science ®Google Scholar
• Tenzer , R. , Hamayun and Vajda , P. 2008a . Global secondary indirect effects of topography, bathymetry, ice and sediments . Contributions to Geophysics and Geodesy , 38 ( 2 ) : 209 – 216 .
   Google Scholar
• 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 . Contributions to Geophysics and Geodesy , 38 ( 4 ) : 357 – 370 .
   Google Scholar
• Tenzer , R. , Hamayun and Vajda , P. 2009 . Global maps of the CRUST 2.0 crustal components stripped gravity disturbances . J. Geophys. Res. , 114 ( B ) : 05408
   Web of Science ®Google Scholar
• Tenzer , R. , Vajda , P. and Hamayun . 2010 . A mathematical model of the bathymetry-generated external gravitational field . Contributions to Geophysics and Geodesy , 40 ( 1 ) : 31 – 44 .
   Google Scholar
• Tenzer , R. , Hamayun , Novák , P. , Gladkikh , V. and Vajda , P. 2011 . Global crust-mantle density contrast estimated from EGM2008, DTM2008, CRUST2.0, and ICE-5G . Pure and Applied Geophysics , doi: 10.1007/s00024-011-0410-3
   Web of Science ®Google Scholar
• Vajda , P. , Ellmann , A. , Meurers , B. , Vaníček , P. , Novák , P. and Tenzer , R. 2008 . Global ellipsoid-referenced topographic, bathymetric and stripping corrections to gravity disturbance . Studia Geophysica et Geodaetica , 52 : 19 – 34 .
   Web of Science ®Google Scholar
• van Gelderen , M and Koop , R. 1997 . The use of degree variances in satellite gradiometry . J. Geod. , 71 : 337 – 343 .
   Web of Science ®Google Scholar
• Vaníček , P. , Najafi , M. , Martinec , Z. , Harrie , L. and Sjöberg , L. E. 1995 . Higher-degree reference field in the generalized Stokes-Helmert scheme for geoid computation . J. Geod. , 70 : 176 – 182 .
   Web of Science ®Google Scholar