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A-E equation of potential field transformations in the wavenumber domain and its application

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Abstract

A shift sampling theory established by author (1997a) is a generalization of Fourier transform computation theory. Based on this theory, I develop an Algorithm-Error (A-E) equation of potential field transformations in the wavenumber domain, which not only gives a more flexible algorithm of potential field transformations, but also reveals the law of error of potential field transformations in the wavenumber domain. The DFT0η η (0.5, 0.5) reduction-to-pole (RTP) technique derived from the A-E equation significantly improves the resolution and accuracy of RTP anomalies at low magnetic latitudes, including the magnetic equator. The law (origin, form mechanism, and essential properties) of the edge oscillation revealed by the A-E equation points out theoretically a way of improving the effect of existing padding methods in high-pass transformations in the wavenumber domain.

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References

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Authors and Affiliations

  1. Bureau of Geophysical Prospecting, CNPC, Zhuozhou, 072751, China

    Yupu Chai

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  1. Yupu Chai
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Chai yupu, professor level senior engineer, graduated from Beijing institute of geology in 1967, and stayed in Purdue University as a visiting scholar from 1983 to 1985. He has established a Shift sampling theory of Fourier transform computation and applied the theory to potential field transformations to derive a A-E equation of potential field transformation in the wavenumber domain. Curently he devotes himself to application study of the shift sampling theory.

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Chai, Y. A-E equation of potential field transformations in the wavenumber domain and its application. Appl. Geophys. 6, 205–216 (2009). https://doi.org/10.1007/s11770-009-0032-z

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  • DOI: https://doi.org/10.1007/s11770-009-0032-z

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