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Turkish Journal of Earth Sciences

Abstract

The total horizontal gradient (THG) and its derivatives are commonly used in interpreting potential fields. Because THG is a nonharmonic function, its vertical derivative (VD) can be consistently computed using, e.g., a finite-difference approximation. The calculation of VD in the wavenumber domain is physically meaningful for harmonic functions, but it provides a pseudovertical derivative (PVD) when applied to nonharmonic fields that can be used in some edge detectors, such as THG. Through experiments with synthetic and field datasets, we evaluated the performance of the PVD of THG in the tilt angle of THG (TAHG) and fast sigmoid-based edge detector (FSED). TAHG and FSED are known as THG-based filters in mapping the edges of causative bodies. The results with synthetic data and magnetic data from the Montresor Belt (Canada) show that maps produced from the PVD of THG are clearer than those from the VD of THG near the source edges. Overall, the PVD of THG significantly enhances the edge detection of potential fields.

Author ORCID Identifier

LUAN PHAM: 0000-0002-5415-8001

SAULO OLIVEIRA: 0000-0001-8227-8230

ERDİNÇ ÖKSÜM: 0000-0001-8386-9411

JEFERSON DE SOUZA: 0000-0001-8742-3847

DOI

10.55730/1300-0985.1982

Keywords

Potential fields, edge enhancement, pseudovertical derivative, nonharmonic function

First Page

669

Last Page

684

Publisher

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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