Error distribution in regional inversion of potential field data

Geophysical Journal International

Volumn 181, Issue 3, 2010, Pages 1428-1440

  Schachtschneider, R ^a,b   Holschneider, M ^a   Mandea, M ^a  

^a UNIVERSITY OF POTSDAM   (Germany)

^b GFZ GERMAN RESEARCH CENTRE FOR GEOSCIENCES   (Germany)

Author keywords

Geopotential theory; Inverse theory; Satellite geodesy; Satellite magnetics

Indexed keywords

ERROR ANALYSIS; GEODESY; GEOPOTENTIAL; GRAVITY FIELD; INVERSE ANALYSIS; MAGNETIC FIELD; POTENTIAL FIELD; SATELLITE DATA; SIGNAL-TO-NOISE RATIO; SPHERICAL HARMONICS;

EID: 77954070792     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2010.04598.x     Document Type: Article

References (27)

1. Blakely RJ. Potential Theory in Gravity and Magnetic Applications 1995, Cambridge University Press, Cambridge
2. Dirac P. The Principles of Quantum Mechanics 1982, 4th edn, Oxford University Press, Oxford
3. Fleming K, Martinec Z, Hagedorn J. Geoid displacement about Greenland resulting from past and present-day mass changes in the Greenland Ice Sheet. Geophys. Res. Lett. 2004, 31:L06617. 10.1029/2004GL019469, doi
4. Förste C. The GeoForschungsZentrum Potsdam/Groupe de Recherche de Geodesie Spatiale satellite-only and combined gravity field models: EIGEN-GL04S1 and EIGEN-GL04C. J. Geodesy 2008, 82(6):331-346. 10.1007/s00190-007-0183-8, doi
5. Freeden W, Michel V. Multiscale Potential Theory (With Applications to Geo-science) 2004, Birkhäuser, Boston, Basel, Berlin
6. Geese A, Hayn M, Mandea M, Lesur V. Regional Modelling of the Southern African Geomagnetic Field using Harmonic Splines. Geophys. J. Int. 2010, 10.1111/j.1365-246X.2010.04575.x, doi
7. Ilk K, Eicker A, Mayer-Gürr T. Global gravity field recovery by merging regional focusing patches: an integrated approach. Dynamic Planet: Monitoring and Understanding a Dynamic Planet with Geodetic and Oceanographic Tools 2007, Vol. 130. Proceedings of IAG Symposium on Dynamic Planet, Cairns, Australia
8. Kaula WM. Global harmonic and statistical analysis of gravity. Extension of Gravity Anomalies to Unsurveyed Areas 1966, Vol. 9:58-67. Orlin H. ed., American Geophysical Union Monograph
9. Lesur V. Introducing localized constraints in global geomagnetic field modelling. Earth Planets Space 2006, 58:477-483.
10. Lesur V, Wardinski I, Martin R, Mioara M. GRIMM: the GFZ Reference Internal Magnetic Model based on vector satellite and observatory data. Geophys. J. Int. 2008, 173:382-394. 10.1111/j.1365-246X.2008.03724.x, doi
11. Lowes FJ. Spatial power spectrum of the main geomagnetic field, and extrapolation to the core. Geophys. J. R. astr. Soc. 1974, 36:717-730.
12. Maus S, Rother M, Hemant K, Stolle C, Lühr H, Kuvshinov A, Olsen N. Earth's lithosperic magnetic field determined to spherical harmonic degree 90 from CHAMP satellite measurements. Geophys. J. Int. 2006, 164:319-330.
13. Maus S. Resolution of direction of oceanic magnetic lineations by the sixth-generation lithospheric magnetic field model from CHAMP satellite magnetic measurements. Geochem. Geophys. Geosyst. 2008, 9(7):Q07021. 10.1029/2008GC001949, doi
14. Mayer-Gürr T, Eicker A, Ilk KH. Gravity field recovery from GRACE-SST data of short arcs. Observation of the Earth System from Space 2006, 131-148. Flury J, Rummel R, Reigber CRothacher MBoedecker GSchreiber U. eds, Springer, Berlin
15. Olsen N, Lühr H, Sabaka TJ, Mandea M, Rother M, Tffner-Clausen L, Choi S. CHAOS-a model of the earth's magnetic field derived from CHAMP, ørsted, and SAC-C magnetic satellite data. Geophys. J. Int. 2006, 166(1):67-75. 10.1111/j.1365-246X.2006.02959.x, doi
16. Papa F, Güntner A, Frappart F, Prigent C, Rossow WB. Variations of surface water extent and water storage in large river basins: a comparison of different global data sources. Geophys. Res. Lett. 2008, 35:L11401. 10.1029/2008GL033857, doi
17. Reigber C. Earth Gravity Field and Seasonal Variability from CHAMP. Earth Observation with CHAMP-Results from Three Years in Orbit 2004, 25-30. Reigber CLühr HSchwintzer PWickert J. eds, Springer, Berlin
18. Reigber C, Schmidt R, Flechtner F, König R, Meyer U, Neumayer K-H, Schwintzer P, Yuan Zhu S. An Earth gravity field model complete to degree and order 150 from GRACE: EIGEN-GRACE02S. J. Geodyn. 2005, 39(1):1-10.
19. Sagen I, Martinec Z, Fleming K. Regional ice-mass changes and glacial-isostatic adjustment in Antarctica from GRACE. Earth planet. Sci. Lett. 2007, 264:291-401.
20. Schmidt R. GRACE observations of changes in continental water storage. Glob. planet. Change 2006, 50:112-126.
21. Schmidt M, Fengler M, Mayer-Gürr T, Eicker A, Kusche J, Sanchez L, Han S-C. Regional gravity modeling in terms of spherical base functions. J. Geodesy 2007, 81:17-38. 10.1007/s00190-006-0101-5, doi
22. Shure L, Parker RL, Backus GE. Harmonic splines for geomagnetic modelling. Phys. Earth planet. Inter. 1982, 28(3):215-229.
23. Simons FJ, Dahlen FA. Spherical Slepian functions and the polar gap in geodesy. Geophys. J. Int. 2006, 166:1039-1061.
24. Thébault E. Global lithospheric magnetic field modelling by successive regional analysis. Earth Planets Space 2006, 58:485-495.
25. Thébault E, Schott JJ, Mandea M. Revised spherical cap harmonic analysis (R-SCHA): validation and properties. J. geophys. Res. 2006, 111:B01102. 10.1029/2005JB003836, doi
26. Wilcox RR. Fundamentals of Modern Statistical Methods 2001, Springer Verlag, New York
27. Xu P. Truncated SVD methods for discrete linear ill-posed problems. Geophys. J. Int. 1998, 135(2):505-514. 10.1046/j.1365-246X.1998.00652.x, doi