Non-linear altimetric geoid inversion for lithospheric elastic thickness and crustal density

Geophysical Journal International

Volumn 138, Issue 3, 1999, Pages 667-678

  Ramillien, G ^a   Mazzega, P ^a  

^a CNES   (France)

Author keywords

Geoid anomalies; Inverse problem; Lithospheric flexure

Indexed keywords

ALTIMETRY; FLEXURE; GEOID; LITHOSPHERE; OCEANIC CRUST; SEAMOUNT;

ATLANTIC OCEAN;

EID: 0032722710     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-246X.1999.00863.x     Document Type: Article

References (31)

1. Abramowitz, M. & Stegun, I.A., 1968. Handbook of Mathematical Functions, 7th edn, Dover, New York.
2. Ammar, H. & Cherruault, Y., 1993. Approximation of a several variables function by a one variable function and application to global optimization, Math. Comput. Modelling, 18, 17-21.
3. Barhen, J. & Protopopescu, V., 1996. Generalized TRUST algorithms for global optimization, in State of the Art in Global Optimization: Computational Methods and Applications, pp. 163-180, eds Floudas, C.A. & Pardalos, P.M., Kluwer, Dordrecht.
4. Barhen, J., Protopopescu, V. & Reister, D., 1997. TRUST: a deterministic algorithm for global optimization, Science, 276, 1094-1097.
5. Basic, T. & Rapp, R., 1992. Oceanwide prediction of gravity anomalies and sea surface heights using Geos3, Seasat and Geosat altimeter data and ETOPO5U bathymetric data, Rept 416, Dept. Geod. Sci. Surv., Ohio State University, Colombus.
6. Baudry, N. & Calmant, S., 1991. 3-D modelling of seamount topography from satellite altimetry, Geophys. Res. Lett., 18, 1143-1146.
7. Calmant, S., 1987. The elastic thickness of the lithosphere in the Pacific Ocean, Earth planet. Sci. Lett., 85, 277-288.
8. 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.
9. Calmant, S. & Cazenave, A., 1986. The effective elastic thickness under Cook-Austral and Society Islands, Earth planet. Sci. Lett., 77, 187-202.
10. Calmant, S., Francheteau, J. & Cazenave, A., 1990. Elastic layer thickening with age of oceanic lithosphere: a tool for prediction of the age of volcanoes or oceanic crust, Geophys. J. Int., 100, 59-67.
11. Cazenave, A., Schaeffer, P., Bergé, M., Brossier, C., Dominh, K. & Gennero, M.C., 1996. High-resolution mean sea surface computed with altimeter data of ERS-1 (Geodetic Mission) and Topex-Poseidon, Geophys. J. Int., 125, 696-704.
12. Cetin, B.C., Bahren, J. & Burdick, J.W., 1993. Terminal repeller unconstrained subenergy tunneling (TRUST) for fast global optimization, J. Optimization Theory Appl., 77, 97-126.
13. Filmer, P.E., McNutt, M.K. & Wolfe, C.J., 1993. Elastic thickness of the lithosphere in the Marquesas and Society islands, J. geophys. Res., 98(B11), 19 565-19 577.
14. Landau, L. & Lifchitz, E., 1967. Theory of Elasticity, Theoretical Physics, Vol. 7, MIR Editions, Moscow.
15. Liu, C.S., Sandwell, D.T. & Curray, J.R., 1982. The negative gravity field over the 85 ridge, J. geophys. Res., 87(B9), 7673-7686.
16. McKenzie, D.P. & Bowin, C., 1976. The relationship between bathy-metry and gravity in the Atlantic Ocean, J. geophys. Res., 81, 1903-1915.
17. McNutt, M.K., 1979. Compensation of oceanic topography: an application of the response function technique to the Surveyor area, J. geophys. Res., 84, 7589-7598.
18. Mazzega, P., 1999. On the assimilation and inversion of small data sets under chaotic regime, Inverse Method in Global Biogeochemical Cycles, ed. Kasibhatla, P.S., AGU Monograph, in press.
19. Mazzega, P., Bergé-Nguyen, M., Cazenave, A. & Schaeffer, P., 1997. Mean sea surface and gravity anomaly maps from ERS-1 and GEOSAT altimetry, Joint Assoc. IAMAS and IAPSO, 1-9 July, Melbourne, Australia (abstract).
20. National Geophysical Data Center, 1988. GEODAS CD-ROM Worldwide Marine Geophysical Data, Updated 2nd edn, Data Announc. 93-MGG-04, Nat. Ocean. & Atmos. Adm. US Dept. Commerce, Boulder.
21. Ramillien, G. & Cazenave, A., 1997. Global bathymetry derived from altimeter data of the ERS-1 Geodetic Mission, J. Geodyn., 23, 129-149.
22. Sandwell, D.T., 1984. Thermomechanical evolution of oceanic fracture zones, J. geophys. Res., 89(B13), 11 401-11 413.
23. Smith, W.H. & Sandwell, D.T., 1994. Bathymetric prediction from dense satellite altimetry and sparse shipboard bathymetry, J. geophys. Res., 99, 21 803-21 824.
24. Tarantola, A., 1987. Inverse Problem Theory, Methods for Data Fitting and Model Parameter Estimation, Elsevier, Amsterdam.
25. Tikhonov, A. & Arsénine, V., 1974. Méthodes de Résolution de Problèmes Mal Posés, Editions MIR, Moscow.
26. Tisseau-Moignard, C., 1979. Modèle de flexure de la lithosphère sous l'effet d'une charge sédimentaire. Application au bassin de Nouvelle-Calédonie (Sud-ouest pacifique), Thèse de 3ème cycle, Université d'Orsay, Paris.
27. Watts, A.B., 1978. An analysis of isostasy in the world's oceans, 1, Hawaiian-Emperor chain, J. geophys. Res., 83, 5989-6004.
28. Watts, A.B. & Ribe, M., 1984. On geoid heights and flexure of the lithosphere at seamounts, J. geophys. Res., 89(B13), 11 152-11 170.
29. Watts, A.B., Cochran, J.R. & Selzer, G., 1975. Gravity anomalies and flexure of the lithosphere: a three dimensional study of Great Meteor seamount, J. geophys. Res., 80, 1391-1398.
30. Young, R. & Hill, I.A., 1986. An estimate of the effective elastic thickness of the Cape Verde Rise, J. geophys. Res., 91(B5), 4854-4866.
31. Zak, M., 1993. Introduction to terminal dynamics. Complex Systems, 7, 49-87.