Abstract
Using analytic signal method, interpretation of pole-pole secondary electric potentials due to 2D conductive/resistive prisms is presented. The estimated parameters are the location, lateral extent or width and depth to top surface of the prism. Forward modelling is attempted by 2D-Finite Difference method. The proposed stabilised analytic signal algorithm (RES2AS) uses Tikhonov’s regularization scheme and FFT routines. The algorithm is tested on three theoretical examples and field data from the campus of Roorkee University. The stability of RES2AS is also tested on synthetic error prone secondary pole-pole potential data.
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Abbreviations
- α :
-
Regularising parameter
- Σ* :
-
Volume density of dipoles
- Μ i(i = 1,2):
-
Magnetic permeability ofi th medium
- ρ i(i = 1,2):
-
True resistivity ofi th medium
- V i(i = 1,2):
-
DC pole-pole electric potential in
- i th :
-
medium
- V s :
-
Secondary pole-pole potential in the first medium
- u(t) :
-
Arbitrary input function
- z(t) :
-
First derivative ofu(t)
- A(x, z):
-
Analytic signal (AS) of secondary DC pole-pole potential,u s
- p :
-
Order of regularization
- f(Ω,Μ) :
-
Tikhonov’s regularizing operator
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Pujari, P.R., Sastry, R.G. 2D stabilised analytic signal method in DC pole-pole potential data interpretation. J Earth Syst Sci 112, 37–49 (2003). https://doi.org/10.1007/BF02710042
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DOI: https://doi.org/10.1007/BF02710042