Fast reduction of potential fields measured over an uneven surface to a plane surface

The present work is aimed at rapid reduction of the gravity and magnetic fields observed over an uneven surface to a horizontal plane. The approach suggested is to estimate the Fourier transform of the potential field over an imaginary horizontal plane lying entirely above the ground surface and imp...

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Bibliographic Details
Published in:IEEE transactions on geoscience and remote sensing 1994-05, Vol.32 (3), p.508-512
Main Authors: Naidu, P.S., Mathew, M.P.
Format: Article
Language:English
Subjects:
580000 - Geosciences
Boundary conditions
CORRECTIONS
DATA PROCESSING
Earth sciences
Earth, ocean, space
Exact sciences and technology
Fourier transforms
GEOLOGIC STRUCTURES
Geophysical measurements
GEOPHYSICAL SURVEYS
Geophysics: general, magnetic, electric and thermic methods and properties
GEOSCIENCES
Gravity
GRAVITY SURVEYS
Integral equations
Internal geophysics
Interpolation
Magnetic field measurement
MAGNETIC SURVEYS
Minerals
PROCESSING
Scattering
Surface topography
SURVEYS
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Summary:The present work is aimed at rapid reduction of the gravity and magnetic fields observed over an uneven surface to a horizontal plane. The approach suggested is to estimate the Fourier transform of the potential field over an imaginary horizontal plane lying entirely above the ground surface and impose boundary conditions; namely, the solution must satisfy the observed field over the ground surface and vanish over an infinite hemisphere. The desired Fourier transform is obtained in an iterating manner. A 2D FFT algorithm can considerably reduce the computational burden. The FFT approach cannot be used unless the discrete data is available on a rectangular grid. If the observations are scattered, interpolation to the nearest grid point will have to be carried out. Interpolation introduces marginal increase in the rms error. The iterating approach is about 10 times faster than the least squares approach.< >
ISSN:0196-2892
1558-0644
DOI:10.1109/36.297969