2020Unpublished venueRequires access

Estimate of the remanent magnetization direction via equivalent layer

Shayane P. Gonzalez, Valéria C. F. Barbosa, Vanderlei C. Oliveira

Open publisher page 3 citations

Abstract

We present a methodology for estimating the remanent magnetization direction via a new approach of the equivalent layer technique. Our method is grounded on the fact that the total magnetization of a magnetic source is the vectorial sum of its induced and remanent magnetizations. We reformulate the total magnetization direction as the sum of the induced and remanent directions weighted by the ratio between the induced and total magnetization intensities (l) and the Koenigsberger ratio (Q). This direction which depends on the l and Q is named predicted total magnetization direction. The observed total magnetization direction was obtained by a equivalent layer of dipoles with the positivity constraint on the magnetic-moment distribution. Our method determines the remanent magnetization direction as the minimum of the discrete mapping of a function defined as the L2 norm of the difference between the observed and predicted total magnetization directions, considering a set of values of l, Q and remanent magnetization directions. Tests with synthetic and field data from a alkaline intrusion at Anit´apolis, Brazil, show the ability of the method and the restrictions on use it. Presentation Date: Tuesday, October 13, 2020 Session Start Time: 1:50 PM Presentation Time: 3:30 PM Location: Poster Station 6 Presentation Type: Poster

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What this paper is about

We present a methodology for estimating the remanent magnetization direction via a new approach of the equivalent layer technique. Our method is grounded on the fact that the total magnetization of a magnetic source is the vectorial sum of its induced and remanent magnetizations. We reformulate the total magnetization direction as the sum of the induced and remanent directions weighted by the ratio between the induced and total magnetization intensities (l) and the Koenigsberger ratio (Q). This direction which depends on the l and Q is named predicted total magnetization direction. The observed total magnetization direction was obtained by a equivalent layer of dipoles with the positivity constraint on the magnetic-moment distribution. Our method determines the remanent magnetization direction as the minimum of the discrete mapping of a function defined as the L2 norm of the difference between the observed and predicted total magnetization directions, considering a set of values of l, Q and remanent magnetization directions. Tests with synthetic and field data from a alkaline intrusion at Anit´apolis, Brazil, show the ability of the method and the restrictions on use it. Presentation Date: Tuesday, October 13, 2020 Session Start Time: 1:50 PM Presentation Time: 3:30 PM Location: Poster Station 6 Presentation Type: Poster

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Available abstract

We present a methodology for estimating the remanent magnetization direction via a new approach of the equivalent layer technique. Our method is grounded on the fact that the total magnetization of a magnetic source is the vectorial sum of its induced and remanent magnetizations. We reformulate the total magnetization direction as the sum of the induced and remanent directions weighted by the ratio between the induced and total magnetization intensities (l) and the Koenigsberger ratio (Q). This direction which depends on the l and Q is named predicted total magnetization direction. The observed total magnetization direction was obtained by a equivalent layer of dipoles with the positivity constraint on the magnetic-moment distribution. Our method determines the remanent magnetization direction as the minimum of the discrete mapping of a function defined as the L2 norm of the difference between the observed and predicted total magnetization directions, considering a set of values of l, Q and remanent magnetization directions. Tests with synthetic and field data from a alkaline intrusion at Anit´apolis, Brazil, show the ability of the method and the restrictions on use it. Presentation Date: Tuesday, October 13, 2020 Session Start Time: 1:50 PM Presentation Time: 3:30 PM Location: Poster Station 6 Presentation Type: Poster

Key concepts: Remanence, Magnetization, Layer (electronics), Stoner–Wohlfarth model, Materials science, Natural remanent magnetization, Condensed matter physics, Geology

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