A modified Hilbert transform and its application to self potential interpretation

N. Sundararajan, Y. Srinivas

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

Interpretation of SP anomalies due to 2D horizontal circular cylinders is presented using the modified Hilbert transform. The modified Hilbert transform defined here is equal to the conventional Hilbert transform in magnitude but differs in phase. The additional phase associated with the modified Hilbert transform paves the way for a straightforward interpretation of SP anomalies which was not the case with the conventional definition of the Hilbert transform. It is interesting to note that these two versions of the Hilbert transform intersect exactly over the origin. The point of intersection of the amplitudes of these two versions also corresponds to the origin. A theoretical model illustrates the procedure. The effect of random noise on the interpretative process is studied. A field example of 'Sulleymonkey' anomaly in the Ergoni Copper district, Turkey substantiates the applicability of the method.

Original languageEnglish
Pages (from-to)137-143
Number of pages7
JournalJournal of Applied Geophysics
Volume36
Issue number2-3
Publication statusPublished - Dec 1996

Keywords

  • Amplitude and interpretation
  • Anomaly
  • Modified Hilbert transform
  • Origin
  • Random noise

ASJC Scopus subject areas

  • Geophysics

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