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A real spectral analysis of the deformation of a homogenous electric field over a thin bed – A Hartley transform approach
Author(s) -
Sundararajan N.,
AlGarni Mansour A.,
Ramabrahmam G.,
Srinivas Y.
Publication year - 2007
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/j.1365-2478.2007.00650.x
Subject(s) - precambrian , geology , hartley transform , field (mathematics) , electric field , fourier transform , deformation (meteorology) , basement , mineralogy , spectral analysis , geophysics , fractional fourier transform , fourier analysis , mathematics , physics , paleontology , archaeology , mathematical analysis , geography , oceanography , quantum mechanics , spectroscopy , pure mathematics
Spectral analysis of the deformation of a homogenous electric field caused by a long, thin inclined bed, which is of considerable importance in the exploration of ground water and minerals, is presented using the Hartley transform. The Hartley transform is an alternative and real replacement for the well‐known complex Fourier transform in the field of spectral analysis. The thickness of the bed and the inclination are given as functions of frequency by simple expressions. A theoretical example illustrates the method while the applicability is demonstrated by the field examples from the fractured crystalline basement complex in Burkina Faso, Africa and the Precambrian limestones of the Cuddapah basin, Andhra Pradesh, India. The results obtained by this method agree well with those of the drilling.