Global 3-D EM inversion of Sq variations based on simultaneous source and conductivity determination: Concept validation and resolution studies

Geophysical Journal International

Volumn 195, Issue 1, 2013, Pages 98-116

  Koch, Stephan ^a   Kuvshinov, Alexey ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

Geomagnetic induction; Inverse theory; Numerical solutions

Indexed keywords

CONDUCTIVITY DISTRIBUTIONS; CONDUCTIVITY STRUCTURES; GEOMAGNETIC INDUCTION; INVERSE THEORY; NUMERICAL SOLUTION; QUASI-NEWTON OPTIMIZATION METHOD; SEQUENTIAL PROCEDURES; SIMULTANEOUS DETERMINATIONS;

GEOMAGNETISM; MAGNETOSPHERE;

THREE DIMENSIONAL;

ELECTRICAL CONDUCTIVITY; ELECTROMAGNETIC FIELD; GEOMAGNETIC FIELD; IONOSPHERE; MAGNETOSPHERE; NUMERICAL MODEL; THREE-DIMENSIONAL MODELING;

EID: 84885819128     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1093/gji/ggt227     Document Type: Article

References (62)

1. Aster, R.C., Borchers, B. & Thurber, C.H., 2005. Parameter Estimation and Inverse Problems, Elsevier Academic Press.
2. Baba, K., Utada, H., Goto, T., Kasaya, T., Shimizu, H. & Tada, N., 2010. Electrical conductivity imaging of the Philippine Sea upper mantle using seafloor magnetotelluric data, Phys. Earth planet. Inter., 183, 44-62.
3. Banks, R., 1969. Geomagnetic variations and the electrical conductivity of the upper mantle, Geophys. J. R. astr. Soc., 17, 457-487.
4. Becker, T.W. & Boschi, L., 2002. A comparison of tomographic and geodynamic mantle models, Geochem. Geophys. Geosyst., 3, doi:10.129/2001GC000168.
5. Campbell, W., 1989. The regular geomagnetic field variations during solar quiet conditions, in Geomagnetism, Vol. 3, Elsevier.
6. Chamalaun, F.H. & Barton, C.E., 1993. The large-scale electrical conductivity structure of australia, J. Geomagn. Geoelectr., 45, 1209-1212.
7. Chulliat, A., Lalanne, X., Gaya-Peque, L.R., Truong, F. & Savary, J., 2009. The new Easter Island magnetic observatory, in Proceedings of the XIIIth IAGAWorkshop on Geomagnetic Observatory Instruments, Data Acquisition and Processing (Love, J.J.), US Geological Survey Open-File Report 20091, 20091226, pp. 47-53.
8. Emmert, J.T., Richmond, A.D. & Drop, D.P., 2010. A computationally compact representation of magnetic-apex and quasi-dipole coordinates with smooth base vectors, J. geophys. Res., 115, A08322, doi:10.1029/2010JA015326.
9. Erofeeva, S. & Egbert, G., 2002. Efficient inverse modelling of barotropic ocean tides, J. Atmos. Oceanic Technol., 19, 183-204.
10. Everett, M., Constable, S. & Constable, C., 2003. Effects of near-surface conductance on global satellite induction responses, Geophys. J. Int., 153, 277-286.
11. Fainberg, E., Kuvshinov, A., Mishina, L. & Singer, B., 1990. The new approach to global deep soundings, Pure appl. Geophys., 134, 527-531.
12. Fukao,Y.,Koyama, T. & Obayashi, M., 2004. Trans-Pacific temperature field in the mantle transition region derived from seismic and electromagnetic tomography, Earth planet Sci. Lett., 217, 425-434.
13. Gaillard, F., Malki, M., Iacono-Marziano, G., Pichavant, M. & Scaillet, B., 2008. Carbonatite melts and electrical conductivity in the asthenosphere, Science, 322, 1363-1365.
14. Gauss, C.F., 1939. Allgemeine Theorie des Erdmagnetismus, in Resultate aus den Beobachtungen des magnetischen Vereins im Jahr 1838, eds Gauss, C.F. & Weber, W. [translated by Sabine, E. & Taylor, R., in Scientific Memoirs Selected from the Transactions of Foreign Academies and Learned Societies and from Foreign Journals, Vol. 2, pp. 184-251, ed. Taylor, R.E. (1841)].
15. Hansen, P., 1992. Analysis of discrete ill-posed problems by means of the L-curve, SIAM Rev., 34, 561-580.
16. Kelbert, A., Egbert, G.D. & Schultz, A., 2008. Non-linear conjugate gradient inversion for global EM induction: resolution studies, Geophys. J. Int., 173, 365-381.
17. Kelbert, A., Schultz, A. & Egbert, G., 2009. Global electromagnetic induction constraints on transition-zone water content variations, Nature, 460, 1003-1006.
18. Khan, A. & Shankland, T.J., 2012. A geophysical perspective on mantle water content and melting: inverting electromagnetic sounding data using laboratory-based electrical conductivity profiles, Earth planet. Sci. Lett, 27(43), 317-318.
19. Khan, A., Boschi, L. & Connolly, J.A.D., 2009. On mantle chemical and thermal heterogeneities and anisotropy as mapped by inversion of global surface wave data, J. geophys. Res., 114, B09305, doi:10.1029/2009JB006399.
20. Kleinbaum, D.G., Kupper, L.L. & Muller, K.E., 1987. Applied Regression Analysis and Other Multivariable Methods, 2nd edn, Kent Pub Co.
21. Korte, M.,Mandea, M., Linthe, H.J., Hemshorn, A., Kotze, P. & Ricaldi, E., 2009. New geomagnetic field observations in the South Atlantic anomaly region, Ann. Geophys., 52, 65-82.
22. Koyama, T., 2001. A study on the electrical conductivity of the mantle by voltage measurements of submarine cables, PhD thesis, University of Tokyo.
23. Koyama, T., Shimizu, H. & Utada, H., 2006. Water content in the mantle transition zone beneath the North Pacific derived from the electrical conductivity anomaly, Am. geophys. Un. Monogr. Ser., 168, 171-179.
24. Kustowski, B., Ekstrom, G. & Dziewonski, A.M., 2008. Anisotropic shearwave velocity structure of the Earth's mantle: A global model, J. geophys. Res., 113(B6), B06306, doi:10.1029/2007JB005169.
25. Kuvshinov, A., 2008. 3-D global induction in the oceans and solid Earth: recent progress in modeling magnetic and electric fields from sources of magnetospheric, ionospheric and oceanic origin, Surv. Geophys., 29(2), 139-186.
26. Kuvshinov, A.V., 2012. Deep electromagnetic studies from land, sea, and space: progress status in the past 10 years, Surv. Geophys., 33, 169- 209.
27. Kuvshinov, A. & Olsen, N., 2006. A global model of mantle conductivity derived from 5 years of CHAMP, Ørsted, and SAC-C magnetic data, Geophys. Res. Lett., 33, L18301, doi:10.1029/2006GL027083.
28. Kuvshinov, A.V. & Semenov, A.A., 2012. Global 3-D imaging of mantle electrical conductivity based on inversion of observatory C-responses-I. An approach and its verification, Geophys. J. Int., 189, 1335-1352.
29. Kuvshinov, A. & Utada, H., 2010. Anomaly of the geomagnetic Sq variation in Japan: effect from subterranean structure or the ocean effect? Geophys. J. Int., 181, 229-249.
30. Kuvshinov, A., Manoj,C., Olsen,N. & Sabaka,T., 2007.Oninduction effects of geomagnetic daily variations from equatorial electrojet and solar quiet sources at low and middle latitudes, J. geophys. Res., 112(B10), B10102, doi:10.1029/2007JB004955.
31. Kuvshinov, A.V., Avdeev, D.B., Pankratov, O.V., Golyshev, S.A. & Olsen, N., 2002. Modelling electromagnetic fields in 3D spherical Earth using fast integral equation approach, in 3-D Electromagnetics, pp. 43-54, eds Zhdanov, M.S. & Wannamaker, P.E., Elsevier.
32. Laske, G. & Masters, G., 1997. A global digital map of sediment thickness, EOS, Trans. Am. geophys. Un., 78, F483.
33. Manoj, C., Kuvshinov, A., Maus, S. & Lühr, H., 2006. Ocean circulation generated magnetic signals, Earth, Planets Space, 58, 429-439.
34. Matzka, J., Olsen, N., Fox Maule, C., Pedersen, L., Berarducci, A.M. & Macmillan, S., 2009. Geomagnetic observations on Tristan da Cuhna, South Atlantic ocean, Ann. Geophys., 52, 97-105.
35. Nocedal, J. & Wright, S.J., 2006. Numerical Optimization, Springer.
36. Olsen, N., 1997. Geomagnetic tides and related phenomena, in Tidal Phenomena, Springer.
37. Pankratov, O. & Kuvshinov, A., 2010. General formalism for the efficient calculation of derivatives of EM frequency domain responses and derivatives of the misfit, Geophys. J. Int., 181, 229-249.
38. Pankratov, O., Avdeev, D. & Kuvshinov, A., 1995. Electromagnetic field scattering in a homogeneous Earth: a solution to the forward problem, Phys. Solis. Earth, 31, 201-209.
39. Panning, M. & Romanowicz, B., 2006. A three dimensional radially anisotropic model of shear velocity in the whole mantle, Geophys. J. Int., 167(1), 361-379.
40. Parkinson, W.D., 1977. An analysis of the geomagnetic diurnal variations during the International Geophysical year, Bulletin 173, Australian Government Publ. Service.
41. Richmond, A.D., 1995. Ionospheric electrodynamics, in Handbook of Ionospheric Electrodynamics, Vol. 2, pp. 249-290, CRC Press.
42. Sabaka, T.J., Olsen, N. & Purucker, M., 2004. Extending comprehensive models of the Earth's magnetic field with Ørsted and CHAMP data, Geophys. J. Int., 159, 521-547.
43. Schmucker, U., 1999a. A spherical harmonic analysis of solar daily variations in the years 1964 D1965: response estimates and source fields for global induction-I. Methods, Geophys. J. Int., 136, 439-454.
44. Schmucker, U., 1999b. A spherical harmonic analysis of solar daily variations in the years 1964 D1965: response estimates and source fields for global induction-II. Results, Geophys. J. Int., 136, 455-476.
45. Schultz, A., 2010. EMScope: a continental scale magnetotelluric observatory and data discovery resource, Data Sci. J., 8, IGY6-IGY20.
46. Semenov, A.A. & Kuvshinov, A.V., 2012. Global 3-D imaging of mantle electrical conductivity based on inversion of observatory C-responses- II. Data analysis and results., Geophys. J. Int., 191, 965-992.
47. Shimizu, H. & Utada, H., 1999. Ocean hemisphere geomagnetic network: its instrumental design and perspective for long-term geomagnetic observations in the Pacific, Earth Planets Space, 51, 917-932.
48. Shimizu, H., Utada, H., Baba, K., Koyama, T., Obayashi, M. & Fukao, Y., 2010. Three-dimensional imaging of electrical conductivity in the mantle transition zone beneath the North Pacific Ocean by a semi-global induction study, Phys. Earth planet. Inter., 183, 262-269.
49. Shimizu, H., Yoneda, A., Baba, K., Utada, H. & Palshin, N., 2011. Sq effect on the electromagnetic response functions in the period range between 104 and 105 s, Geophys. J. Int., 186, 193-206.
50. Singer,B., 1995. Method for solution ofMaxwell's equations in non-uniform media, Geophys. J. Int., 120, 590-598.
51. Singer, B., Kuvshinov, A., Mishina, L. & Fainberg, E., 1993. Global geomagnetic sounding: new methodology and results, Phys. Solid Earth, 29, 35-43.
52. Tarits, P. & Mandea, M., 2010. The heterogeneous electrical conductivity structure of the lower mantle, Phys. Earth planet. Inter., 183, 115-125.
53. Toh, H., Hamano, Y., Ichiki, M. & Utada, H., 2004. Geomagnetic observatory operates at the seafloor in the Northwest Pacific Ocean, EOS, Trans. Am. geophys. Un., 85, 467-473.
54. Toh, H., Hamano, Y. & Ichiki, M., 2006. Long-term seafloor geomagnetic station in the Northwest Pacific: a possible candidate for a seafloor geomagnetic observatory, Earth Planets Space, 58, 697-705.
55. Toh, H., Hamano, Y., Goto, Y. & Utada, H., 2010. Long-term seafloor electromagnetic observation in the northwest Pacificmay detect the vector geomagnetic secular variation, Data Sci. J., 9, IGY100-IGY109.
56. Trampert, J., Deschamps, J., Resovsky, J. & Yuen, D., 2004. Chemical heterogeneities throughout the lower mantle, Science, 306, 853-855.
57. Utada, H., Koyama, T., Obayashi, M. & Fukao, Y., 2009. A joint interpretation of electromagnetic and seismic tomography models suggests the mantle transition zone below Europe is dry, Earth planet. Sci. Lett., 281, 249-257.
58. Velimsky, J. et al., 2012. Geomagnetic observatory Gan, in XVth IAGA Workshop on Geomagnetic Observatory Instruments, Data Acquisition and Processing, San Fernando, Cadiz, Spain, Abstract Volume, p. 41, 4-14 June 2012.
59. Wang, D., Mookherjee, M., Xu, Y. & Karato, K., 2006. The effect of water on the electrical conductivity of olivine, Nature, 443, 977-980.
60. Weidelt, P., 1972. The inverse problem of geomagnetic induction, Z. Geophys., 38, 257-289.
61. Winch, D.E., 1981. Spherical harmonic analysis of geomagnetic tides 1964- 65, Phil. Trans. R. Soc. London A., 303, 1-104.
62. Yoshino, T., Matsuzaki, T., Shatskiy, A. & Katsura, T., 2009. The effect of water on the electrical conductivity of olivine aggregates and its implications for the electrical structure of the upper mantle, Earth planet Sci. Lett., 288, 291-300.