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A new method for continuation of 3D potential fields to a horizontal plane

Xu Shi-zhe, Chieh-Hou Yang, Dai Shikun and Zhang Dahai
A new method for continuation of 3D potential fields to a horizontal plane
Geophysics (December 2003) 68 (6): 1917-1921

Abstract

A 3D potential on a 3D topography is approximately regarded as a potential on an imaginary horizontal plane. A fast Fourier transform (FFT) is applied to calculate the outward normal derivative of the potential on the horizontal plane. An approximation can be made such that the calculated derivative is used as the outward normal derivative of the potential on the 3D topographic surface. Based on the potential and the approximated normal derivative on the topography, Green's formula is used to obtain the potential at an arbitrary point above the topography. When the potential at a flat level above the topography is obtained, an FFT is used again to determine the potential at other levels above the source of the potential. A model test shows that the results from this method compare well with analytic solutions. The method has high computation speed and can be used for continuation of 3D potential fields for large data sets, e.g., aero-magnetic data.


ISSN: 0016-8033
EISSN: 1942-2156
Coden: GPYSA7
Serial Title: Geophysics
Serial Volume: 68
Serial Issue: 6
Title: A new method for continuation of 3D potential fields to a horizontal plane
Affiliation: Zhejiang University, Department of Geosciences, Hangzhou, China
Pages: 1917-1921
Published: 200312
Text Language: English
Publisher: Society of Exploration Geophysicists, Tulsa, OK, United States
References: 9
Accession Number: 2005-018586
Categories: Applied geophysics
Document Type: Serial
Bibliographic Level: Analytic
Illustration Description: illus.
Secondary Affiliation: Ching Yun Institute of Technology, TWN, TaiwanPetroleum University Beijing, CHN, China
Country of Publication: United States
Secondary Affiliation: GeoRef, Copyright 2017, American Geosciences Institute.
Update Code: 200509
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