Inference on core surface flow from observations and 3-D dynamo modelling

Geophysical Journal International

Volumn 186, Issue 1, 2011, Pages 118-136

  Fournier, Alexandre ^a   Aubert, Julien ^a   Thébault, Erwan ^a  

^a INSTITUT DE PHYSIQUE DU GLOBE DE PARIS   (France)

Author keywords

Core, outer core and inner core; Dynamo: theories and simulations; Inverse theory; Rapid time variations

Indexed keywords

CANDIDATE MODELS; CONTROL PARAMETERS; CORE FLOW; CORE SURFACE FLOWS; DISCRETE STATE ESTIMATION; DYNAMO: THEORIES AND SIMULATIONS; EARTH'S CORE; EQUATORIAL SYMMETRIES; FIELD VARIABLES; GEODYNAMO; GEODYNAMO MODELS; GEOMAGNETIC DATA; GEOMAGNETIC FIELD MODEL; GEOMAGNETIC FIELDS; INNER CORE; INVERSE THEORY; KALMAN GAIN MATRIX; KALMAN-FILTERING; MAGNETIC ENERGY DENSITIES; MULTIVARIATE STATISTICS; NUMERICAL DYNAMOS; NUMERICAL MODELS; PRIOR INFORMATION; SECULAR VARIATION; STATE VECTOR; SYNTHETIC DATA; TIME VARIATIONS; TIME-SCALES;

DATA PROCESSING; ELECTRIC GENERATORS; ESTIMATION; GEOMAGNETISM; INTERACTIVE DEVICES; MULTIVARIANT ANALYSIS; NUMERICAL METHODS; STATE ESTIMATION; STOCHASTIC MODELS;

THREE DIMENSIONAL;

DATA ASSIMILATION; GEODYNAMO; GEOMAGNETIC FIELD; GEOMAGNETISM; GEOSTATISTICS; INNER CORE; INVERSE ANALYSIS; KALMAN FILTER; NUMERICAL MODEL; OUTER CORE; SECULAR VARIATION;

EID: 79959200988     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2011.05037.x     Document Type: Article

References (69)

1. Amit, H. & Olson, P., 2004. Helical core flow from geomagnetic secular variation, Phys. Earth planet. Inter., 147(1), 1-25.
2. Amit, H., Olson, P. & Christensen, U., 2007. Tests of core flow imaging methods with numerical dynamos, Geophys. J. Int., 168(1), 27-39.
3. Arfken, G.B. & Weber, H.J., 1995. Mathematical Methods for Physicists, 4th edn, Academic Press, San Diego, CA.
4. Aubert, J., Amit, H. & Hulot, G., 2007. Detecting thermal boundary control in surface flows from numerical dynamos, Phys. Earth planet. Int., 160(2), 143-156.
5. Aubert, J., Aurnou, J. & Wicht, J., 2008. The magnetic structure of convection-driven numerical dynamos, Geophys. J. Int., 172(3), 945-956.
6. Aubert, J., Labrosse, S. & Poitou, C., 2009. Modelling the palaeo-evolution of the geodynamo, Geophys. J. Int., 179, 1414-1428.
7. Backus, G.E., 1968. Kinematics of geomagnetic secular variation in a perfectly conducting core, Philo. Trans. R. Soc. Lond. Ser. A, Math. Phys. Sci., 263(1141), 239-266.
8. Barenblatt, G.I., 1996. Scaling, Self-Similarity, and Intermediate Asymptotics, Cambridge University Press, Cambridge.
9. Bloxham, J. & Jackson, A., 1991. Fluid flow near the surface of Earth's outer core, Rev. Geophys., 29(1), 97-120.
10. Bouligand, C., Hulot, G., Khokhlov, A. & Glatzmaier, G.A., 2005. Statistical palaeomagnetic field modelling and dynamo numerical simulation, Geophys. J. Int., 161(3), 603-626.
11. Boyd, J.P., 2001. Chebyshev and Fourier Spectral Methods, 2nd edn, Dover, Maneola, NY .
12. Braginsky, S.I. & Roberts, P.H., 1995. Equations governing convection in Earth's core and the geodynamo, Geophys. astrophys. Fluid Dyn., 79(1), 1-97.
13. Buffett, B.A., 2010. Tidal dissipation and the strength of the Earth's internal magnetic field, Nature, 468(7326), 952-954.
14. Canet, E., Fournier, A. & Jault, D., 2009. Forward and adjoint quasi-geostrophic models of the geomagnetic secular variation, J. geophys. Res., 114, B11101, doi:.
15. Christensen, U.R., 2010. Dynamo scaling laws and applications to the planets, Space Sci. Rev., 152(1-4), 565-590.
16. Christensen, U.R. & Aubert, J., 2006. Scaling properties of convection-driven dynamos in rotating spherical shells and application to planetary magnetic fields, Geophys. J. Int., 140, 97-114.
17. Christensen, U.R. & Tilgner, A., 2004. Power requirement of the geodynamo from ohmic losses in numerical and laboratory dynamos, Nature, 429(6988), 169-171.
18. Christensen, U.R., Aubert, J. & Hulot, G., 2010. Conditions for Earth-like geodynamo models, Earth planet. Sci. Lett., 296(3-4), 487-496.
19. Constable, C.G. & Parker, R.L., 1988. Statistics of the geomagnetic secular variation for the past 5 Myr, J. geophys. Res., 93, 11569-11581.
20. Donadini, F., Korte, M. & Constable, C., 2009. Geomagnetic field for 0-3 ka: 1. New data sets for global modeling, Geochem. Geophys. Geosyst., 10, Q06007, doi:.
21. Dormy, E., Cardin, P. & Jault, D., 1998. MHD flow in a slightly differentially rotating spherical shell, with conducting inner core, in a dipolar magnetic field, Earth planet. Sci. Lett., 160(1-2), 15-30.
22. Eymin, C. & Hulot, G., 2005. On core surface flows inferred from satellite magnetic data, Phys. Earth planet. Int., 152, 200-220.
23. Finlay, C.C. et al., 2010. International geomagnetic reference field: the eleventh generation, Geophys. J. Int., 183(3), 1216-1230.
24. Fournier, A. et al., 2010. An introduction to data assimilation and predictability in geomagnetism, Space Sci. Rev., 155(1-4), 247-291, doi:.
25. Genevey, A., Gallet, Y., Constable, C., Korte, M. & Hulot, G., 2008. ArcheoInt: an upgraded compilation of geomagnetic field intensity data for the past ten millennia and its application to the recovery of the past dipole moment, Geochem. Geophys. Geosyst., 9(4), Q04038, doi:.
26. Gillet, N., Pais, A. & Jault, D., 2009. Ensemble inversion of time-dependent core flow models, Geochem. Geophys. Geosyst., 10, Q06004, doi:.
27. Gillet, N., Jault, D., Canet, E. & Fournier, A., 2010a. Fast torsional waves and strong magnetic field within the Earth's core, Nature, 465, 74-77.
28. Gillet, N., Lesur, V. & Olsen, N., 2010b. Geomagnetic core field secular variation models, Space Sci. Rev., 155(1-4), 129-145, doi:.
29. Gubbins, D., 1982. Finding Core Motions from Magnetic Observations, Philo. Trans. R. Soc. Lond. A, 306, 247-254.
30. Gubbins, D., 1983. Geomagnetic field analysis - I. Stochastic Inversion, Geophys. J. R. astr. Soc., 73, 641-652.
31. Holme, R., 2007. Large-scale flow in the core, in Core Dynamics, Vol. 8: Treatise on Geophysics, pp. 107-130, eds Olson, P. & Schubert, G., Elsevier, Amsterdam .
32. Holme, R. & Olsen, N., 2006. Core surface flow modelling from high-resolution secular variation, Geophys. J. Int., 166(2), 518-528.
33. Hongre, L., Hulot, G. & Khokhlov, A., 1998. An analysis of the geomagnetic field over the past 2000 years, Phys. Earth planet. Int., 106(3), 313-336.
34. Hulot, G. & Le Mouël, J.-L., 1994. A statistical approach to the Earth's main magnetic field, Phys. Earth planet. Int., 82(3), 167-184.
35. Hulot, G., Eymin, C., Langlais, B., Mandea, M. & Olsen, N., 2002. Small-scale structure of the geodynamo inferred from Oersted and Magsat satellite data, Nature, 416(6881), 620-623.
36. Hulot, G., Lhuillier, F. & Aubert, J., 2010a. Earth's dynamo limit of predictability, Geophys. Res. Lett., 37, L06305, doi:.
37. Hulot, G., Finlay, C.C., Constable, C.G., Olsen, N. & Mandea, M., 2010b. The magnetic field of planet Earth, Space Sci. Rev., 152(1-4), 159-222.
38. Jackson, A., 1997. Time-dependency of tangentially geostrophic core surface motions, Phys. Earth planet. Int., 103, 293-311.
39. Jackson, A., Bloxham, J. & Gubbins, D., 1993. Time-dependent flow at the core surface and conservation of angular momentum in the coupled core-mantle system, in Dynamics of Earth's Deep Interior and Earth Rotation, pp. 97-107, American Geophysical Union, Washington, DC .
40. Jackson, A., Jonkers, A. & Walker, M., 2000. Four centuries of geomagnetic secular variation from historical records, Philo. Trans. R. Soc. Ser. A: Math., Phys. Eng. Sci., 358(1768), 957-990.
41. Jackson, D.D., 1979. The use of a priori data to resolve non-uniqueness in linear inversion, Geophys. J. R. astr. Soc., 57(1), 137-157.
42. Jault, D., 2008. Axial invariance of rapidly varying diffusionless motions in the Earth's core interior, Phys. Earth planet. Int., 166(1-2), 67-76.
43. Jault, D., Gire, C. & Le Mouël, J.-L., 1988. Westward drift, core motions and exchanges of angular momentum between core and mantle, Nature, 333(6171), 353-356.
44. Kalnay, E., 2003. Atmospheric Modeling, Data Assimilation, and Predictability, Cambridge University Press, Cambridge .
45. Korte, M. & Constable, C.G., 2005. Continuous geomagnetic field models for the past 7 millennia: 2. CALS7K, Geochem., Geophys., Geosyst., 6, Q02H16, doi:.
46. Kuang, W., Tangborn, A., Jiang, W., Liu, D., Sun, Z., Bloxham, J. & Wei, Z., 2008. MoSST-DAS: the first generation geomagnetic data assimilation framework, Commun. Comput. Phys., 3, 85-108.
47. Kuang, W., Tangborn, A., Wei, Z. & Sabaka, T., 2009. Constraining a numerical geodynamo model with 100-years of geomagnetic observations, Geophys. J. Int., 179(3), 1458-1468.
48. Le Mouël, J.L., 1984. Outer core geostrophic flow and secular variation of Earth's magnetic field, Nature, 311, 734-735.
49. Lesur, V., Wardinski, I., Asari, S., Minchev, B. & Mandea, M., 2010. Modelling the Earth's core magnetic field under flow constraints, Earth, Planets, Space, 62(6), 503-516.
50. Lhuillier, F., Fournier, A., Aubert, J. & Hulot, G., 2011. The secular-variation timescale in geomagnetic field and dynamo models, Geophys. Res. Lett., doi:, in press.
51. Liu, D., Tangborn, A. & Kuang, W., 2007. Observing system simulation experiments in geomagnetic data assimilation, J. geophys. Res., 112, B08103, doi:.
52. Lorenc, A.C., 1986. Analysis methods for numerical weather prediction, Q. J. R. Meteorol. Soc., 112(474), 1177-1194.
53. Lowes, F.J., 1974. Spatial power spectrum of the main geomagnetic field, and extrapolation to the core, Geophys. J. R. astr. Soc., 36(3), 717-730.
54. Mauersberger, P., 1956. Das Mittel der Energiedichte des geomagnetischen Hauptfeldes an der Erdoberfläche und seine säkulare Änderung, Gerlands Beitr. Geophys, 65, 207-215.
55. Olsen, N., Mandea, M., Sabaka, T. & Tøffner-Clausen, L., 2009. CHAOS-2-a geomagnetic field model derived from one decade of continuous satellite data, Geophys. J. Int., 179(3), 1477-1487.
56. Pais, M.A. & Jault, D., 2008. Quasi-geostrophic flows responsible for the secular variation of the Earth's magnetic field, Geophys. J. Int., 173(2), 421-443.
57. Pais, M.A., Oliveira, O. & Nogueira, F., 2004. Nonuniqueness of inverted core-mantle boundary flows and deviations from tangential geostrophy, J. geophys. Res., 109, B08105, doi:.
58. Rau, S., Christensen, U., Jackson, A. & Wicht, J., 2000. Core flow inversion tested with numerical dynamo models, Geophys. J. Int., 141(2), 485-497.
59. Reigber, C., Lühr, H. & Schwintzer, P., 2002. CHAMP mission status, Adv. Space Res., 30(2), 129-134.
60. Roberts, P.H. & Scott, S., 1965. On analysis of the secular variation, J. Geomagnet. Geoelectr., 17(2), 137-151.
61. Sakuraba, A., 2010. Numerical simulations of low-viscosity Earth-type dynamos, in Proceedings of the 12th General Assembly of the SEDI, Santa Barbara, CA.
62. Sakuraba, A. & Roberts, P.H., 2009. Generation of a strong magnetic field using uniform heat flux at the surface of the core, Nat. Geosci., 2, 802-805.
63. Thébault, E., Chulliat, A., Maus, S., Hulot, G., Langlais, B., Chambodut, A. & Menvielle, M., 2010. IGRF candidate models at times of rapid changes in core field acceleration, Earth, Planets, Space, 62(10), 753-763, doi:.
64. Voorhies, C.V., 1986. Steady flows at the top of Earth's core derived from geomagnetic field models, J. geophys. Res., 91, 12444-12466.
65. Wessel, P. & Smith, W.H.F., 1991. Free software helps map and display data, EOS, Trans. Am. geophys. Un., 72, 441-445.
66. Whaler, K.A., 1986. Geomagnetic evidence for fluid upwelling at the core-mantle boundary, Geophys. J. R. astr. Soc., 86(2), 563-588.
67. Wicht, J. & Christensen, U.R., 2010. Torsional oscillations in dynamo simulations, Geophys. J. Int., 181(3), 1367-1380.
68. Wicht, J., Stellmach, S. & Harder, H., 2010. Numerical dynamo simulations: from basic concepts to realistic models, in Handbook of Geomathematics, pp. 459-502, eds Freeden, W., Nashed, M.Z. & Sonar, T., Springer, Berlin, doi:.
69. Wunsch, C., 2006. Discrete Inverse and State Estimation Problems, Cambridge University Press, Cambridge .