Magnetic Anomalies Caused by 2D Polygonal Structures With Uniform Arbitrary Polarization: New Insights From Analytical/Numerical Comparison Among Available Algorithm Formulations
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Magnetic Anomalies Caused by 2D Polygonal Structures With Uniform Arbitrary Polarization : New Insights From Analytical/Numerical Comparison Among Available Algorithm Formulations. / Ghirotto, Alessandro; Zunino, Andrea; Armadillo, Egidio; Mosegaard, Klaus.
I: Geophysical Research Letters, Bind 48, Nr. 7, e2020GL091732, 16.04.2021.Publikation: Bidrag til tidsskrift › Letter › Forskning › fagfællebedømt
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TY - JOUR
T1 - Magnetic Anomalies Caused by 2D Polygonal Structures With Uniform Arbitrary Polarization
T2 - New Insights From Analytical/Numerical Comparison Among Available Algorithm Formulations
AU - Ghirotto, Alessandro
AU - Zunino, Andrea
AU - Armadillo, Egidio
AU - Mosegaard, Klaus
PY - 2021/4/16
Y1 - 2021/4/16
N2 - Since the '60s of the last century, the calculation of the magnetic anomalies caused by 2D uniformly polarized bodies with polygonal cross-section has been mainly performed using the popular algorithm of Talwani and Heirtzler (1962, 1964). Recently, Kravchinsky et al. (2019, https://doi.org/10.1029/2019GL082767) claimed errors in the above algorithm formulation, proposing new corrective formulas and questioning the effectiveness of almost 60 years of magnetic calculations. Here we show that the two approaches are equivalent and Kravchinsky et al.'s formulas simply represent an algebraic variant of those of Talwani and Heirtzler. Moreover, we analyze a large amount of random magnetic scenarios, involving both changing-shape polygons and a realistic geological model, showing a complete agreement among the magnetic responses of the two discussed algorithms and the one proposed by Won and Bevis (1987, https://doi.org/10.1190/1.1442298). We release the source code of the algorithms in Julia and Python languages.
AB - Since the '60s of the last century, the calculation of the magnetic anomalies caused by 2D uniformly polarized bodies with polygonal cross-section has been mainly performed using the popular algorithm of Talwani and Heirtzler (1962, 1964). Recently, Kravchinsky et al. (2019, https://doi.org/10.1029/2019GL082767) claimed errors in the above algorithm formulation, proposing new corrective formulas and questioning the effectiveness of almost 60 years of magnetic calculations. Here we show that the two approaches are equivalent and Kravchinsky et al.'s formulas simply represent an algebraic variant of those of Talwani and Heirtzler. Moreover, we analyze a large amount of random magnetic scenarios, involving both changing-shape polygons and a realistic geological model, showing a complete agreement among the magnetic responses of the two discussed algorithms and the one proposed by Won and Bevis (1987, https://doi.org/10.1190/1.1442298). We release the source code of the algorithms in Julia and Python languages.
KW - 2D forward modeling
KW - Computational geophysics
KW - Exploration geophysics
KW - Induced magnetization
KW - Magnetic anomaly
KW - Remnant magnetization
UR - http://www.scopus.com/inward/record.url?scp=85104294355&partnerID=8YFLogxK
U2 - 10.1029/2020GL091732
DO - 10.1029/2020GL091732
M3 - Letter
AN - SCOPUS:85104294355
VL - 48
JO - Geophysical Research Letters
JF - Geophysical Research Letters
SN - 0094-8276
IS - 7
M1 - e2020GL091732
ER -
ID: 261063091