STRATIFIED MULTIFRACTAL MAGNETIZATION AND SURFACE GEOMAGNETIC FIELDS-II. MULTIFRACTAL ANALYSIS AND SIMULATIONS
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dc.contributor.author | Pecknold S. | |
dc.contributor.author | Lovejoy S. | |
dc.contributor.author | Schertzer D. | |
dc.date.accessioned | 2021-03-18T00:36:57Z | |
dc.date.available | 2021-03-18T00:36:57Z | |
dc.date.issued | 2001 | |
dc.identifier | https://www.elibrary.ru/item.asp?id=1205041 | |
dc.identifier.citation | Geophysical Journal International, 2001, 145, 1, 127-144 | |
dc.identifier.issn | 0956-540X | |
dc.identifier.uri | https://repository.geologyscience.ru/handle/123456789/26875 | |
dc.description.abstract | In Paper I, we showed how anisotropic scaling spectral (second-order) models of the magnetization (M) were realistic at both high- and intermediate-wavenumber regimes of the surface magnetic field (B). However, in order to produce full stochastic M and surface B models, we need assumptions about statistical moments other than second order. The usual approach is to assume quasi-Gaussian statistics so that all the statistical moments are scaling according to a single exponent. The corresponding fields are monofractal. All structures-both weak and strong-have the same unique fractal dimension, there are no strong anomalies and there are no intermittent transitions from one strata or region to another; such assumptions are quite unrealistic. Using seven surface B surveys, we show that the data are, on the contrary, multifractal, and we characterize their multifractal parameters in both the high- and intermediate-wavenumber regimes with the help of universal multifractal exponents. Using anisotropic (stratified) multifractal models, we deduce the M statistics and produce M and surface B simulations with all statistical exponents quite near to those of the observed surface B field; they are also visually realistic, showing anomalies at all scales. Finally, we analyse the horizontal anisotropy of the surface B fields and use this to infer the M statistics. This enables us to produce anisotropic 3-D M, B models with more realistic texture and morphology of structures. We conclude that both multifractality and scaling anisotropy are indispensable for realistic geophysical models. | |
dc.subject | FRACTALS | |
dc.subject | GEOMAGNETISM | |
dc.subject | MULTIFRACTAL ANALYSES | |
dc.title | STRATIFIED MULTIFRACTAL MAGNETIZATION AND SURFACE GEOMAGNETIC FIELDS-II. MULTIFRACTAL ANALYSIS AND SIMULATIONS | |
dc.type | Статья |
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