Geomagnetic induction in multiple eccentrically nested spheres

Geophysical Journal International

Volumn 132, Issue 1, 1998, Pages 96-110

  Martinec, Z ^a  

^a CHARLES UNIVERSITY   (Czech Republic)

Author keywords

3 D electrical conductivity; Angular coupling; Electromagnetic induction; Parallel translation; Vector Helmholtz equation; Vector wave functions

Indexed keywords

ELECTRICAL CONDUCTIVITY; ELECTROMAGNETIC INDUCTION; NESTED SPHERES CONFIGURATION;

EID: 0031922337     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-246x.1998.00392.x     Document Type: Article

References (19)

1. Abramowitz, M. & Stegun, L.A. 1970. Handbook of Mathematical Functions, Dover, New York, NY.
2. D'Yakonov, B.P., 1959. The diffraction of electromagnetic waves by a sphere located in a half-space, Izv. Earth Sci., 11, 1120-1125.
3. Everett, M.E. & Schultz, A., 1995. Geomagnetic induction in eccentrically nested spheres, Phys. Earth planet. Inter., 92, 189-198.
4. Everett, M.E. & Schultz, A., 1996. Geomagnetic induction in a h heterogeneous sphere: azimuthally symmetric test computations and the responce of an undulating 660-km discontinuity, J. geophys. Res., 101, B2, 2765-2783.
5. Fainberg, E.B., Pankratov, O.V. & Singer, B.Sh., 1993. Thin sheet modelling of subsurface and deep inhomogeneities, Geophys. J. Int., 113, 144-154.
6. Lahiri, B. & Price, A., 1939. Electromagnetic induction in non-uniform conductors, and the determination of the conductivity of the Earth from terrestrial magnetic variations, Phil. Trans. R. Soc. Lond, A, 237, 509-540.
7. Martinec, Z., 1992. The static, potential free Love numbers for a homogeneous Earth's model bounded by an irregular surface, Man. Geod., 17, 186-200.
8. Pěč, K., Martinec, Z. & Pěčová, J., 1985. Matrix approach to the solution of electromagnetic induction in a spherically layered Earth, Studia Geoph. Geod., 29, 139-162.
9. Pěčová, J., Martinec, Z. & Pěč, K., 1987. Appreciation of spherically symmetric models of electrical conductivity, Pageoph, 125, 291-318
10. Price, A.T., 1930. Electromagnetic induction in a conducting sphere, Proc. Lond. math. Soc., 51, 217.
11. Rikitake, T., 1950. Electromagnetic induction within the Earth and its relation to the electrical state of the Earth's interior, Bull. Earthq. Res. Inst., 28, 45-100.
12. Schultz, A., 1990. On the vertical gradient and associated heterogeneity in the mantle electrical conductivity, Phys. Earth planet. Inter., 64, 68-86.
13. Schultz, A. & Larsen, J.C., 1987. On the electrical conductivity of the mid-mantle, I, Calculation of equivalent scalar magnetotelluric response functions, Geophys. J. R. astr. Soc., 88, 733-761.
14. Srivastava, S.P., 1966. Theory of the magnetotelluric method for a spherical conductor, Geophys. J. R. astr. Soc., 11, 373-387.
15. Su, W.J., Woodward, R.L., & Dziewonski, A.M., 1994. Degree 12 model of shear velocity heterogeneity in the mantle, J. geophys. Res., 99, 6945-6980.
16. Tarits, P., 1994. Electromagnetic studies of global geodynamic processes, Surv. Geophys., 15, 209-238.
17. Varshalovich, D.A., Moskalev, A.N. & Khersonskii, V.K., 1989. Quantum Theory of Angular Momentum, World Scientific, Singapore.
18. Weaver, J.T., 1994, Mathematical Methods for Geo-electromagnetic Induction, Research Studies Press, Wiley, New York, NY.
19. 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.