Total magnetic-field intensity anomaly due to a vertical pyramid model of flat top and bottom with constant magnetisation

Abstract

Abstract: We have derived a closed-form analytical expression for total magnetic-field intensity (TMI) anomaly due to a vertical pyramid model of constant magnetisation from our earlier gravity gradient tensor expressions by using Poisson�s relationship. The numerical stability of gravity gradient tensor components has already been established. Therefore, no separate effort has been made for the magnetic case. We have validated our TMI expression against TMI of a rectangular prism model of both finite and infinite depth extents for uniform magnetisation. We include some simulated numerical examples and two interpretive case studies, concerning North Atlantic Gillis seamount and sinkholes around Dead Sea (Zohar). Both the synthetic experimental results and included case studies demonstrate the effectiveness of our pyramid model in forward modelling. Research Highlights: A novel Total magnetic intensity (TMI) forward modelling for a vertical pyramid model is proposed.The numerical experiments and reported two case studies demonstrate the utility of the proposed model.The model is cost-effective in TMI modelling when compared to usual rectangular parallelepiped. � 2021, Indian Academy of Sciences.