Use of the Hilbert transform to interpret self-potential anomalies due to two-dimensional inclined sheets

N. Sundararajan*, I. Arun Kumar, N. L. Mohan, S. V. Seshagiri Rao

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)

Abstract

Self-potential anomalies due to two-dimensional inclined sheet of finite depth extent are analysed from their horizontal and vertical derivatives via the Hilbert transform. The depths to the top and bottom of the sheet and the inclination are obtained by means of simple mathematical expressions. The method is applied to a theoretical example and to a field S.P. anomaly over a sulphide deposit in the Kalava fault zone of Cuddapah basin, India. The presence of random noise is analysed for various levels and its effect is discussed. This interpretation process can be automated for all practical purposes by simple programming.

Original languageEnglish
Pages (from-to)117-126
Number of pages10
JournalPure and Applied Geophysics
Volume133
Issue number1
DOIs
Publication statusPublished - Mar 1990
Externally publishedYes

Keywords

  • Cuddapah basin
  • Hilbert transform
  • S.P. anomalies
  • abscissae
  • amplitude
  • convolution
  • error analysis

ASJC Scopus subject areas

  • Geophysics
  • Geochemistry and Petrology

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