Publication: Application of the polynomial adjustment to the aeromagnetic survey of
the Spanish Mainland; Requirements and shortcomings
Loading...
Files
Full text at PDC
Publication Date
2000
Authors
Herraiz, M.
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
TERRA SCIENTIFIC PUBL CO
Citations
Exportar
Abstract
Polynomial surfaces are a very useful tool in order to represent the geomagnetic field over small area of the Earth's surface. Nevertheless, the method has not always been applied with enough precision, nor its limitations are considered in detail. This work analyses the conditions of applicability of this method to data from the aeromagnetic survey of the Spanish mainland accomplished in 1986, and the fulfilment of the necessary conditions to enhance a merely descriptive model to produce another of inferential character. The best statistical adjustment with only descriptive character, valid for the whole Spanish mainland, is a third degree model. The study proves that the conditions of validity for inferential models are met using polynomials of second and third degree in restrictive areas, but not over the whole Iberian Peninsula. In this case, the model of second degree is proposed as the best option because of its simplicity and the extension of its region of validity. To a great extent, the restrictions to enhance the descriptive models are due to the own nature, specially to their geographical dependence, and can also affect the analysis of other kinds of geophysical data.
Description
UCM subjects
Unesco subjects
Keywords
Citation
Afifi, A. A. and S. P. Azen, Statistical Analysis. A Computer Oriented
Approach, 442 pp., Academic Press, London, 1977.
Ardizone, J. A., Análisis de datos aeromagnéticos. Metodologías y
aplicación al levantamiento aeromagnético de España Peninsular,
Ph.D. Thesis, 225 pp., Facultad de Ciencias Físicas, Universidad
Complutense de Madrid, 1996 (in Spanish).
Ardizone, J. A., J. Mezcua, and I. Socias, Mapa Aeromagnético de
España Peninsular, 29 pp. and 3 maps, Instituto Geográfico Nacional,
Madrid, 1989 (in Spanish).
Belsley, D. A., A. Khu, and R. E. Welsch, Regression Diagnostics, 292
pp., John Wiley & Sons, New York, 1980.
Galdeano, A. and J. C. Rossignol, Assemblage à altitude constante des
cartes d’anomalies magnétiques couvrant l’ensemble du bassin
occidental de la Mediterranée, Bull. Soc. Géol. France., XIX(3),
461–468, 1977 (in French with English abstract).
Haines, G. V., A Taylor expansion of the geomagnetic field in the
Canadian Artic, Publications of the Dominion Observatory, XXXV,
115–140, 1967.
Haines, G. V., Polinomial estimation of certain geomagnetic quantities,
applied to a survey of Scandinavia, Publications of the Dominion
Observatory. XXXVII, 79–112, 1968.
Haines, G. V., Regional magnetic field modelling: A review, J. Geomag.
Geoelectr, 42(9), 1001–1018, 1990.
Haines, G. V. and W. Hannaford, Magnetic anomaly maps of British
Columbia and the adjacent Pacific Ocean, Publications of the Earth
Physics Branch, Department of Energy, Mines and Resources, Otawa,
42(8), 215–228, 1972.
Haines, G. V. and W. Hannaford, A three component aeromagnetic
survey of the Canadian Artic, Publications of the Earth Physics
Branch, Department of Energy, Mines and Resources, Otawa, 44(8),
213–234, 1974.
Haines, G. V., W. Hannaford, and P. H. Serson, Magnetic anomaly
maps of the Nordic Countries and the Greenland and Norwegian seas,
Publications of the Dominion Observatory, 39(5), 1970.
Huber, P. J., Robust Statistics, 308 pp., John Wiley & Sons, New York,
1981.
Jobson, J. D., Applied Multivariate Data Analysis, Vol. I, Regression
and Experimental Design, 621 pp., Springer-Verlag, 1991.
Morrison, D. F., Applied Linear Statistical Methods, 562 pp., Prentice-
Hall Inc., New Jersey, 1983.
Peña, D., Estadística Modelos y Métodos, V. 1 Fundamentos, 402 pp.,
Edit. Alianza Universidad Textos, Madrid, 1989a (in Spanish).
Peña, D., Estadística Modelos y Métodos, V. 2 Modelos Lineales y
Series Temporales, 745 pp., Edit. Alianza Universidad Textos, Madrid,
1989b (in Spanish).
Siegel, S., Estadística no Paramétrica, 562 pp., Trillas, Méjico, 1986
(in Spanish).
Socías, I., J. Lynam, and R. del Potro, Interpretation of an Aeromagnetic
Survey of the Spanish Mainland, Earth Planet. Sci. Lett., 105, 55–64,
1991.
Tanaka, M., K. Hiroishi, S. Ando, and S. Matsumura, Aeromagnetic
surveys in the Geographical Survey Institute and the magnetic
anomalies in and around Japan, Bull. of the Geological Survey of
Japan, XXX, 1–14, 1986.
Torta, J. M., Modelización regional del campo geomagnético sobre
España: Campo anómalo, variación secular y campo de referencia,
139 pp., Publicaciones del Observatorio del Ebro, 15, Tortosa, 1992
(in Spanish with English abstract).
Weisberg, S., Applied Linear Regression, 324 pp., John Wiley & Sons,
New York, 1985.
J