Computation of geophysical magnetic data for a buried 3-D hexahedral prism using the Gauss–Legendre quadrature method

Hassan Mohamed, Hideki Mizunaga, Hakim Saibi

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A new method is presented for the 3-D forward modelling of the magnetic effects (induced magnetization) of a hexahedral (trilinear) prism using the Gauss–Legendre quadrature method. The 3-D forward modelling provides an improved application to geological problems. The magnetic effect has been evaluated via the summation of the effects of the point dipole that fills the volume. The 3-D volume is divided into smaller prisms using an appropriate number of nodes. The algorithm is tested on two synthetic examples, and the results are compared against calculated data from a common program developed at the University of British Columbia–Geophysical Inversion Facility, with both tests showing positive results. The results of testing the algorithm against two synthetic slab models are also given. Finally, the program is applied to a field data set from Aynak-Logar Valley region in Afghanistan. Using this program, complex 3-D model bodies may be constructed from hexahedral prisms to facilitate the calculation of their magnetic anomalies and magnetic susceptibility. Interpretation of the results shows that 3-D constructed models are successful in recovering the shape and location of the true model.

Original languageEnglish
Pages (from-to)575-588
Number of pages14
JournalNear Surface Geophysics
Volume18
Issue number5
DOIs
Publication statusAccepted/In press - 2020

All Science Journal Classification (ASJC) codes

  • Geophysics

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