Formulação e implementação de um pacote para interpretar mapas magnéticos utilizando os polinômios de Walsh
In this work we develop a method for the automatic interpretation of magnetic field data. This methodology determines the boundaries and magnetizations of geologic units. The often of abrupt variations of the magnetization of geological units are modeled in this methodology. These abrupt lateral var...
| Autor principal: | RAMOS, Alexandre José Santos |
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| Grau: | Dissertação |
| Idioma: | por |
| Publicado em: |
Universidade Federal do Pará
2014
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| Acesso em linha: |
http://repositorio.ufpa.br/jspui/handle/2011/5667 |
| Resumo: |
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In this work we develop a method for the automatic interpretation of magnetic field data. This methodology determines the boundaries and magnetizations of geologic units. The often of abrupt variations of the magnetization of geological units are modeled in this methodology. These abrupt lateral variations will be represented by discontinuous polynomials known as Walsh polynomials. Several new concepts were developed in order to apply Walsh polynomials to solve aeromagnetic data inversion problems. Among these new concepts we can list. (i) - An optimum algorithm to generate a set of "quasi-orthogonal" polynomials using a Walsh magnetization distribution. (ii) - The use of the damped least squares method to stabilize the inverse solution. (iii) An investigation of positional invariance problems, which are inherent in the Walsh polynomials. (iv) - The choice of the order of the polynomials taking into account the limitations of resolution and the behaviour of the eigenvalues. Using these features of magnetized bodies it is possible to formulate the direct problem, i.e, the bodies magnetization obeys Walsh distribution. It is also possible to formulate the inverse problem, in which the magnetization that generates the observed field obeys the Walsh series. Prior to applying the method it is necessary to estimate the depths to the magnetic sources. We have chosen a method developed by LOURES (1991), which is based on the Euler homogenous equation which requires the knowledge of the magnetic field and its derivatives. We tested the method with real data from a region in the Alto Amazonas sedimentary basin. The aeromagnetic data were provided by PETROBRÁS. |