M. Srinivas et N. Sundararajan, ANALYSIS OF THE DEFORMATION OF HOMOGENEOUS ELECTRICAL FIELDS OVER SOME 2-DIMENSIONAL STRUCTURES, Ground water, 34(4), 1996, pp. 588-592
An analysis of the deformation of a homogeneous electrical field cause
d by a long, thin inclined bed, which is of considerable importance in
the exploration of ground water and minerals, is presented using the
Hilbert transform. The thickness of the bed and the inclination are ex
pressed as a function of the abscissae of the points of intersection o
f the horizontal and vertical derivatives of the field. The procedure
is illustrated with a theoretical example and substantiated with field
examples from the fractured Crystalline Basement Complex in Burkina F
aso, Africa, and Pre-Cambrian limestones of the Cuddappah Basin in And
hra Pradesh, India. The results derived from the analytical method are
shown to agree well with the ground truth.