Simple additional constraints on regional models of the geomagnetic secular variation field
Author(s)
Language
English
Status
Published
JCR Journal
N/A or not JCR
Peer review journal
Yes
Issue/vol(year)
1-4 / 97 (1996)
Publisher
Elsevier
Pages (printed)
15-21
Date Issued
October 1996
Abstract
Standard ways of building regional models of the geomagnetic field fail when one wishes to model secular variation (SV). The reason for this is that the SV is mainly a large-scale feature, while regional modelling is most appropriate for characterizing small-scale features. The new idea presented in this note consists in reducing this effect by requiring that the spatial derivatives of the SV produced by the regional model fit the values given by global (and smoother) models such as
the international geomagnetic reference field.
the international geomagnetic reference field.
References
Alldredge, L.R., 1981. Rectangular harmonic analysis applied to
the geomagnetic field. J. Geophys. Res., 86: 3021-3026.
Anderssen, R.S., 1969. On the solution of certain overdetermined
systems of linear equations that arise in Geophysics. J. Geophys.
Res., 74: 1045-1051.
De Santis, A., 1992. Conventional spherical harmonic analysis for
regional modelling of the geomagnetic field. Geophys. Res.
Lett., 19: 1065-1067.
Efroymson, M.A., 1960. Multiple regression analysis. In: A.
Ralston and H.S. Wilf (Editors). Mathematical Methods for
Digital Computers. John Wiley & Sons, New York, pp. 191-
203.
Fougere, P., 1963. Spherical harmonic analysis, 1. A new method
and its verification. J. Geophys. Res., 68: 11 31- 1 139.
Haines, G.V., 1985. Spherical cap harmonic analysis. J. Geophys.
Res., 90: 2583-2591.
Haines, G.V., 1990. Regional magnetic field modelling: a review.
J. Geomag. Geoelectr., 42: 1001- 101 8.
Haines, G.V. and Torta, J.M., 1994. Determination of equivalent
current sources from spherical cap harmonic models of geomagnetic
field variations. Geophys. J. Int., 118: 499-514.
Langel, R.A., 1992. International Geomagnetic Reference Field:
the sixth generation. J. Geomagn. Geoelectr., 44: 679-707.
Molina, F. and De Santis, A., 1987. Considerations and proposal
for a best utilization of IGRF over areas including a geomagnetic
observatory. Phys. Earth. Planet. Inter., 48: 379-385.
Parker, R.L., 1994. Geophysical Inverse Theory. Princeton University
Press, 386 pp.
Rossen, M.L. and Hennance, J.F., 1987. Polynomial smoothing of
quiet-time magnetic variations for an irregularly spaced array
of sites. Pure Appl. Geophys., 125: 41-65.
Torta, J.M., Garcia, A., Curto, J.J. and De Santis, A., 1992. New
representation of geomagnetic secular variation over restricted
regions by means of Spherical Cap Harmonic Analysis: application
to the case of Spain. Phys. Earth Planet. Inter., 74:
209-217.
the geomagnetic field. J. Geophys. Res., 86: 3021-3026.
Anderssen, R.S., 1969. On the solution of certain overdetermined
systems of linear equations that arise in Geophysics. J. Geophys.
Res., 74: 1045-1051.
De Santis, A., 1992. Conventional spherical harmonic analysis for
regional modelling of the geomagnetic field. Geophys. Res.
Lett., 19: 1065-1067.
Efroymson, M.A., 1960. Multiple regression analysis. In: A.
Ralston and H.S. Wilf (Editors). Mathematical Methods for
Digital Computers. John Wiley & Sons, New York, pp. 191-
203.
Fougere, P., 1963. Spherical harmonic analysis, 1. A new method
and its verification. J. Geophys. Res., 68: 11 31- 1 139.
Haines, G.V., 1985. Spherical cap harmonic analysis. J. Geophys.
Res., 90: 2583-2591.
Haines, G.V., 1990. Regional magnetic field modelling: a review.
J. Geomag. Geoelectr., 42: 1001- 101 8.
Haines, G.V. and Torta, J.M., 1994. Determination of equivalent
current sources from spherical cap harmonic models of geomagnetic
field variations. Geophys. J. Int., 118: 499-514.
Langel, R.A., 1992. International Geomagnetic Reference Field:
the sixth generation. J. Geomagn. Geoelectr., 44: 679-707.
Molina, F. and De Santis, A., 1987. Considerations and proposal
for a best utilization of IGRF over areas including a geomagnetic
observatory. Phys. Earth. Planet. Inter., 48: 379-385.
Parker, R.L., 1994. Geophysical Inverse Theory. Princeton University
Press, 386 pp.
Rossen, M.L. and Hennance, J.F., 1987. Polynomial smoothing of
quiet-time magnetic variations for an irregularly spaced array
of sites. Pure Appl. Geophys., 125: 41-65.
Torta, J.M., Garcia, A., Curto, J.J. and De Santis, A., 1992. New
representation of geomagnetic secular variation over restricted
regions by means of Spherical Cap Harmonic Analysis: application
to the case of Spain. Phys. Earth Planet. Inter., 74:
209-217.
Description
Lecter section of Physics of the Earth and Planetary Interiors 97 (1996)
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