Premium
Upward continuation of potential fields from a polyhedral surface 1
Author(s) -
Ivan M.
Publication year - 1994
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/j.1365-2478.1994.tb00217.x
Subject(s) - discontinuity (linguistics) , dipole , continuation , vertex (graph theory) , surface (topology) , potential field , geology , magnetic field , magnetic potential , regional geology , vector field , geometry , mathematical analysis , physics , mathematics , geophysics , telmatology , combinatorics , hydrogeology , graph , quantum mechanics , computer science , programming language , geotechnical engineering
An equivalent source procedure is derived for upward continuation of unevenly spaced gravity and magnetic data. The dipole layer is placed on a topographic relief approximated by a polyhedral surface, the stations being the vertices of the triangular faces. The dipoles have linear magnitudes, being directed along the normal vector over each triangle. The unknown values of the dipole magnitudes at each station are obtained by a suitable modification of the usual integral equation considering the discontinuity of the normal vector at each vertex of the dipole surface. Profile data processing is also studied. A numerical test outlines the accuracy and the limitations of the model for the case of a magnetic field significantly perturbed by a rough topographic relief.