Constraints on the coupling at the core-mantle and inner core boundaries inferred from nutation observations

Geophysical Journal International

Volumn 182, Issue 3, 2010, Pages 1279-1294

  Koot, L ^a,b   Dumberry, M ^a   Rivoldini, A ^b   De Viron, O ^c   Dehant, V ^b  

^a UNIVERSITY OF ALBERTA   (Canada)

^b ROYAL OBSERVATORY OF BELGIUM   (Belgium)

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

Author keywords

Core, outer core and inner core; Earth rotation variations; Inverse theory

Indexed keywords

BAYESIAN INVERSION; COMPLEX PARAMETER; CONFIDENCE INTERVAL; CORE-MANTLE; CORE-MANTLE BOUNDARY; COUPLING CONSTANTS; COUPLING MODELS; EARTH ROTATION VARIATIONS; EARTH'S INTERIOR; FREQUENCY DOMAINS; INNER CORE; INNER CORE BOUNDARY; INVERSE THEORY; JOINT INVERSION; KINEMATIC VISCOSITY; MECHANICAL COUPLING; NONLINEARITIES; PARAMETERS CHARACTERIZING; RADIAL MAGNETIC FIELD; TIME DOMAIN;

ELECTROMAGNETIC COUPLING; ELECTROMAGNETISM; MAGNETIC FIELDS; ROTATION; TIME DOMAIN ANALYSIS;

MAGNETIC DOMAINS;

BAYESIAN ANALYSIS; CORE-MANTLE BOUNDARY; EARTH ROTATION; INNER CORE; INVERSE PROBLEM; MAGNETIC FIELD; NUTATION; OBSERVATIONAL METHOD;

EID: 77955746665     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2010.04711.x     Document Type: Article

References (47)

1. Alfè D, Kresse G, Gillan MJ. Structure and dynamics of liquid iron under Earth's core conditions. Phys. Rev. B 2000, 61:132-142.
2. Bizouard C, Brzeziński A, Petrov S. Diurnal atmospheric forcing and temporal variations of the nutation amplitudes. J. Geod. 1998, 72:561-577.
3. Braginsky SI, Meytlis VP. Local turbulence in the Earth's core. Geophys. Astrophys. Fluid Dyn. 1990, 55:71-87.
4. Bretagnon P, Francou G, Rocher P, Simon JL. SMART97: a new solution for the rotation of the rigid Earth. Astron. Astrophys. 1998, 329:329-338.
5. Buffett BA, Christensen UR. Magnetic and viscous coupling at the core-mantle boundary: inferences from observations of the Earth's nutations. Geophys. J. Int. 2007, 171:145-152.
6. Buffett BA, Mathews PM, Herring TA. Modeling of nutation and precession: effects of electromagnetic coupling. J. geophys. Res. 2002, 107:2070. 10.1029/2000JB000056, doi
7. Busse FH. Steady fluid flow in a precessing spheroidal shell. J. Fluid Mech. 1968, 33:739-751.
8. Chao BF, Ray RD, Gipson JM, Egbert GD, Ma C. Diurnal/semidiurnal polar motion excited by oceanic tidal angular momentum. J. geophys. Res. 1996, 101:20 151-20 164.
9. Christensen UR, Aubert J. Scaling properties of convection-driven dynamos in rotating spherical shells and application to planetary magnetic fields. Geophys. J. Int. 2006, 166:97-114.
10. Defraigne P, Dehant V, Wahr JM. Internal loading of an inhomogeneous compressible earth with phase boundaries. Geophys. J. Int. 1996, 125:173-192.
11. Deleplace B, Cardin P. Viscomagnetic torque at the core mantle boundary. Geophys. J. Int. 2006, 167:557-566.
12. Dziewonski AM, Anderson DL. Preliminary reference Earth model. Phys. Earth planet. Int. 1981, 25:297-356.
13. Feissel-Vernier M, Ma C, Gontier A, Barache C. Analysis strategy issues for the maintenance of the ICRF axes. Astron. Astrophys. 2006, 452:1107-1112.
14. Folgueira M, Dehant V, Lambert SB, Rambaux N. Impact of tidal Poisson terms on nonrigid Earth rotation. Astron. Astrophys. 2007, 469:1197-1202.
15. Fukushima T. Geodesic nutation. Astron. Astrophys. 1991, 244:L11+.
16. Greenspan HP. The Theory of Rotating Fluids 1968, Cambridge University Press, New York
17. Greff-Lefftz M, Legros H, Dehant V. Influence of the inner core viscosity on the rotational eigenmodes of the Earth. Phys. Earth planet. Int. 2000, 122:187-204.
18. Gregory P. Bayesian Logical Data Analysis for the Physical Sciences 2005, Cambridge University Press, Cambridge
19. Gubbins D, Jones AL, Finlay CC. Fall in Earth's magnetic field is erratic. Science 2006, 312:900-902.
20. Hastings WK. Monte carlo sampling methods using markov chains and their applications. Biometrika 1970, 57:97-109.
21. Herring TA, Mathews PM, Buffett BA. Modeling of nutation-precession: very long baseline interferometry results. J. geophys. Res. 2002, 107:2069. 10.1029/2001JB000165, doi
22. Koot L, Rivoldini A, de Viron O, Dehant V. Estimation of Earth interior parameters from a Bayesian inversion of very long baseline interferometry nutation time series. J. geophys. Res. 2008, 113:8414. 10.1029/2007JB005409, doi
23. Lambert SB. Atmospheric excitation of the Earth's free core nutation. Astron. Astrophys. 2006, 457:717-720.
24. Lambert SB, Mathews PM. Second-order torque on the tidal redistribution and the Earth's rotation. Astron. Astrophys. 2006, 453:363-369.
25. Mathews PM, Bretagnon P. Polar motions equivalent to high frequency nutations for a nonrigid Earth with anelastic mantle. Astron. Astrophys. 2003, 400:1113-1128.
26. Mathews PM, Guo JY. Viscoelectromagnetic coupling in precession-nutation theory. J. geophys. Res. 2005, 110:2402. 10.1029/2003JB002915, doi
27. Mathews PM, Buffett BA, Herring TA, Shapiro II. Forced nutations of the earth: influence of inner core dynamics. 1. Theory. J. geophys. Res. 1991a, 96:8219-8242.
28. Mathews PM, Buffett BA, Herring TA, Shapiro II. Forced nutations of the Earth: influence of inner core dynamics. 2. Numerical results and comparisons. J. geophys. Res. 1991b, 96:8243-8258.
29. Mathews PM, Herring TA, Buffett BA. Modeling of nutation and precession: new nutation series for nonrigid Earth and insights into the Earth's interior. J. geophys. Res. 2002, 107:2068. 10.1029/2001JB000390, doi
30. Metropolis N, Rosenbluth AW, Rosenbluth MN, Teller AH, Teller E. Equations of state calculations by fast computing machines. J. Chem. Phys. 1953, 21:1087-1091.
31. Moritz H, Mueller II. Earth Rotation: Theory and Observation 1987, Ungar Publishing Company, New York
32. Olsen N, Mandea M, Sabaka TJ, Tøffner-Clausen L. CHAOS-2-a geomagnetic field model derived from one decade of continuous satellite data. Geophys. J. Int. 2009, 179:1477-1487.
33. Pedlosky J. Geophysical Fluid Dynamics 1987, 2nd edn, Springer-Verlag, New York
34. Rochester MG. The secular decrease of obliquity due to dissipative core-mantle coupling. Geophys. J. R. astr. Soc. 1976, 46:109-126.
35. Rogister Y, Valette B. Influence of liquid core dynamics on rotational modes. Geophys. J. Int. 2009, 176:368-388.
36. Roosbeek F, Dehant V. RDAN97: an analytical development of rigid earth nutation series using the torque approach. Celest. Mech. Dyn. Astron. 1998, 70:215-253.
37. Rutter MD, Secco RA, Liu H, Uchida T, Rivers ML, Sutton SR, Wang Y. Viscosity of liquid Fe at high pressure. Phys. Rev. B 2002a, 66(6):060102. 10.1029/2001GL014392, doi
38. Rutter MD, Secco RA, Uchida T, Liu H, Wang Y, Rivers ML, Sutton SR. Towards evaluating the viscosity of the Earth's outer core: an experimental high pressure study of liquid Fe-S (8.5 wt. per cent S). Geophys. Res. Lett. 2002b, 29(8):080000-1.
39. Sasao T, Wahr JM. An excitation mechanism for the free 'core nutation'. Geophys. J. R. astr. Soc. 1981, 64:729-746.
40. Sasao T, Okubo S, Saito M. A simple theory on dynamical effects of stratified fluid core upon nutational motion of the earth. Nutation and the Earth's Rotation 1980, 165. Federov EP, Smith ML, Bender PL. eds, D. Reidel Publishing Co., Norwell, MA
41. Smylie DE. Viscosity near Earth's solid inner core. Science 1999, 284:461-463.
42. Souchay J, Loysel B, Kinoshita H, Folgueira M. Corrections and new developments in rigid earth nutation theory. III. Final tables " REN-2000" including crossed-nutation and spin-orbit coupling effects. Astron. Astrophys. Suppl. 1999, 135:111-131.
43. Stacey FD, Anderson OL. Electrical and thermal conductivities of Fe-Ni-Si alloy under core conditions. Phys. Earth planet. Int. 2001, 124:153-162.
44. Stacey FD, Davis PM. Physics of the Earth 2008, Cambridge University Press, Cambridge, ISBN: 9780521873628
45. Tarantola A. Inverse Problem Theory and Methods for Model Parameter Estimation 2005, Society for Industrial and Applied Mathematics
46. Wahr JM, Sasao T. A diurnal resonance in the ocean tide and in the earth's load response due to the resonant free 'core nutation'. Geophys. J. R. astr. Soc. 1981, 64:747-765.
47. Yseboodt M, de Viron O, Chin TM, Dehant V. Atmospheric excitation of the Earth's nutation: comparison of different atmospheric models. J. geophys. Res. 2002, 107:2036. 10.1029/2000JB000042, doi