Auxiliary functions of the Hilbert transform in the study of gravity anomalies

G. Ramadass*, I. Arunkumar, S. M Varaprasada Rao, N. L. Mohan, N. Sundararajan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

The auxiliary functions, namely amplitude, phase, envelope and instantaneous frequency of Hilbert transform over gravity anomalies of 2-D sphere, vertical fault block and horizontal circular cylinder are studied. The characteristics of these functions are established in locating and identifying the sources. The method is illustrated with a theoretical example in each case and supported by field data of gravity anomaly over Humble dome and spherical model of the Satak-Mansar area, Nagpur District, India.

Original languageEnglish
Pages (from-to)211-219
Number of pages9
JournalProceedings of the Indian Academy of Sciences - Earth and Planetary Sciences
Volume96
Issue number3
DOIs
Publication statusPublished - Dec 1987

Keywords

  • amplitude
  • Auxiliary functions
  • Hilbert transform
  • instantaneous frequency
  • phase and envelope

ASJC Scopus subject areas

  • Earth and Planetary Sciences (miscellaneous)

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