Geomagnetic induction in a heterogeneous sphere: Fully three-dimensional test computations and the response of a realistic distribution of oceans and continents

Geophysical Journal International

Volumn 135, Issue 2, 1998, Pages 650-662

  Weiss, C J ^a   Everett, M E ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

Coast effect; Continental lithosphere; Electrical conductivity; Electromagnetic field; Electromagnetic induction; Finite element method; Geomagnetic field; Oceanic lithosphere

Indexed keywords

CONTINENTAL LITHOSPHERE; ELECTRICAL CONDUCTIVITY; ELECTROMAGNETIC FIELD; GEOMAGNETIC FIELD; OCEANIC LITHOSPHERE;

EID: 0032408980     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-246X.1998.00670.x     Document Type: Article

References (20)

1. Abramowitz, M. & Stegun, I.A., 1964. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, p. 437, National Bureau of Standards, United States Department of Commerce, Washington, DC.
2. Banks, R.J. & Ainsworth, J.N., 1992. Global induction and the spatial structure of mid-latitude geomagnetic variations, Geophys. J. Int., 110, 251-266.
3. Bevis, M. & Chatelain, J.L., 1989. Locating a point on a spherical surface relative to a spherical polygon of arbitrary shape, Math. Geol., 21, 811-828.
4. Biro, O. & Preis, K., 1990. Finite element analysis of 3-D eddy currents, IEEE Trans. Magn., 26, 418-423.
5. Bullard, E.C. & Parker, R.L., 1970. Electromagnetic induction in the oceans, in The Sea, Vol. 4, pp. 695-730, ed. Maxwell, A.E., Wiley-Interscience, New York.
6. Campbell, W.H., 1996. Geomagnetic storms, the Dst ring-current myth and lognormal distributions, J. atmos. terr. Phys., 58, 1171-1187.
7. Chen, J. & Dosso, H.W., 1997. EM responses of an elongated conductor near an ocean, Phys. Earth planet. Inter., 99, 83-89.
8. Chen, M.W., Schulz, M. & Lyons, L.R., 1997. Modeling of ring current formation and decay: a review, in Magnetic Storms, eds Tsurutani, B.T., Gonzalez, W.D., Kamide, Y. & Arballo, J.K., AGU Geophys. Monogr., 98, 173-186.
9. Duff, I.S., Erisman, A.M. & Reid, J.K., 1986. Direct Methods for Sparse Matrices, Oxford University Press, Oxford.
10. Gonzalez, W.D., Joselyn, J.A., Kamide, Y., Kroehl, H.W., Rosoker, G., Tsurutani, B.T. & Vasyliunas, V.M., 1994. What is a geomagnetic storm?, J. geophys. Res., 99-A, 5771-5792.
11. Gough, D.I., 1989. Magnetometer array studies, earth structure and tectonic processes, Rev. Geophys., 27, 141-157.
12. Johnson, C., 1995. Numerical Solution of Partial Differential Equations by the Finite Element Method, pp. 14-48, Cambridge University Press, Cambridge.
13. Kurtz, R.D., DeLaurier, J.M. & Gupta, J.C., 1990. The electrical conductivity distribution beneath Vancouver Island: a region of active subduction, J. geophys. Res., 95, 10929-10946.
14. Kuvshinov, A.V. & Pankratov, O.V., 1994. Electromagnetic induction in a spherical Earth with inhomogeneous conducting mantle: thin sheet forward problem (abstract), 12th Workshop on Electromagnetic Induction in the Earth, Brest, France, p. 83.
15. Tyburczy, J.A., 1996. Lateral variations of electrical conductivity in the 200 to 400km depth range: interpretations based on mineral physics results (abstract), EOS 1996 Fall Meet. Suppl., 77, F168.
16. Varshalovich, D.A., Moskalev, A.N. & Khersonskii, V.K., 1988. Quantum Theory of Angular Momentum, p. 216, World Scientific, Singapore.
17. Wannamaker, P.E., Booker, A.G., Jones, A.G., Chave, A.D., Filloux, J.H., Waff, H.S., Law, L.K. & Young, C.T., 1989. Conductivity cross section through the Juan de Fuca subduction system and its tectonic implications, J. geophys. Res., 94, 14 127-14 144.
18. Weiss, C.J. & Everett, M.E., 1996. Alternative parametrization of Earth models: 3-D spherical splines (abstract), 13th Workshop on Electromagnetic Induction in the Earth, Onuma, Japan, p. 75.
19. Woodhouse, J.H. & Dziewonski, A.M., 1984. Mapping of the upper mantle: three-dimensional modeling of the Earth structure by inversion of seismic waveforms, J. geophys. Res., 89, 5953-5986.
20. Zhang, T.S. & Schultz, A., 1992. A 3-D perturbation solution for the EM induction problem in a spherical Earth - the forward problem, Geophys. J. Int., 111, 319-334.