Finite-difference Euler Deconvolution Algorithm Applied to the Interpretation of Magnetic Data from Northern Bulgaria

Here, we propose a new, finite-difference algorithm for Euler deconvolution, based on the Euler's homogeneity equation accounting for a constant background field which allows simultaneous depth and shape estimation. The algorithm uses as input data the measured anomalous field and its first-ord...

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Vydané v:Pure and applied geophysics Ročník 162; číslo 3; s. 591 - 608
Hlavní autori: Gerovska, Daniela, Stavrev, Petar, Araúzo-Bravo, Marcos J.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Basel Springer Science and Business Media LLC 01.03.2005
Springer
Springer Nature B.V
Predmet:
Algorithms
Earth sciences
Earth, ocean, space
Exact sciences and technology
Geophysics: general, magnetic, electric and thermic methods and properties
Internal geophysics
Bulgaria
finite-difference method
algorithms
models
inverse problem
Euler's homogeneity equation
finite difference analysis
Europe
classification
basaltic composition
unprescribed structural index
homogeneity
deconvolution
depth
interpretation
basaltic bodies
northern Bulgaria
constant background field
magnetic anomalies
ISSN:0033-4553, 1420-9136
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Shrnutí:Here, we propose a new, finite-difference algorithm for Euler deconvolution, based on the Euler's homogeneity equation accounting for a constant background field which allows simultaneous depth and shape estimation. The algorithm uses as input data the measured anomalous field and its first-order derivatives, in contrast to methods based on the input of higher order field derivatives. The test of the algorithm on a model of interfering fields of elementary sources with different field fall-off rates, resulting in background close to a linear one, shows that it can give a good estimation of both the depth to the sources singular points and their respective structural indices. A set of tests was carried out on column-like models with shapes ranging from the elementary model of a dipole to that of a point pole, and of models of arbitrary shape with two singular points in between. It showed that when the ratio of the distance between the observation plane and the source's top and the length of the body allows classification of it as a dipole or a point pole, the value of the estimated structural index is close to the integer value, typical for the respective elementary source. In such cases the estimated depth value refers to that of the special internal point of the respective type of source. This can facilitate in certain situations the interpretation of non-integer structural indices and their associated depth estimates obtained with the new Euler deconvolution algorithm. Inversion of a set of magnetic data from northern Bulgaria, caused by basaltic bodies of different shape, with the proposed method confirmed that the most intense anomalies are caused by column-like bodies outcropping on the surface and with considerable depth extent.[PUBLICATION ABSTRACT]
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ISSN:0033-4553
1420-9136
DOI:10.1007/s00024-004-2623-1