Direct interpretation of self-potential anomalies produced by a vertical dipole

Skianis, Georgios Aim.; Papadopoulos, Triantafillos; Vaiopoulos, Dimitrios A.

doi:10.1016/j.jappgeo.2005.05.003

Cited by 6 publications

(3 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A model-independent technique has been discussed by Srivastava and Agarwal (2009) about interpretation of self-potential anomalies, based on the enhanced local wave number. There have also been several publication on other techniques such as a numerical gradient methods (Abdelrahman et al, 1997a), direct interpretation (Skianis et al, 2006). In general, we may categorize these techniques in two parts: derivative-based (Abdelrahman et al, 1997b(Abdelrahman et al, , 1998Abdelrahman and Sharafeldin, 1997;Başokur et al, 2007;El-Araby, 2004) and global search methods such as simulating annealing, genetic algorithms Sen and Stoffa, 1995), and particle swarm optimization (PSO) (Fernandez-Martinez et al, 2010a, 2010bFernandez-Martinez and Pedruelo-Gonzalez, 2009;Shaw and Srivastava, 2007).…”

Section: Introductionmentioning

confidence: 99%

Application of particle swarm optimization on self-potential data

Pekşen

Yas

Kayman

et al. 2011

Journal of Applied Geophysics

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

Application of particle swarm optimization on self-potential data

Pekşen

Yas

Kayman

et al. 2011

Journal of Applied Geophysics

View full text Add to dashboard Cite

“…On the other hand, it is possible to derive the Fourier transform U ( u ) in a closed form, for certain types of the function m ( t ). In geophysics, the quantitative interpretation of potential anomalies in spatial frequency domain is quite usual and may give reliable results (Odegard and Berg 1965 , Rao et al 1982 , Skianis et al 2006 , Skianis 2012 ). Therefore the derivation of expressions of U ( u ) may have applications in geosciences and, possibly, in other fields of physics and engineering, as concerns the behaviour of the electrical field produced by a dipole distribution.…”

Section: Introductionmentioning

confidence: 99%

A class of Fourier integrals based on the electric potential of an elongated dipole

Skianis

2014

SpringerPlus

View full text Add to dashboard Cite

In the present paper the closed expressions of a class of non tabulated Fourier integrals are derived. These integrals are associated with a group of functions at space domain, which represent the electric potential of a distribution of elongated dipoles which are perpendicular to a flat surface. It is shown that the Fourier integrals are produced by the Fourier transform of the Green’s function of the potential of the dipole distribution, times a definite integral in which the distribution of the polarization is involved. Therefore the form of this distribution controls the expression of the Fourier integral. Introducing various dipole distributions, the respective Fourier integrals are derived. These integrals may be useful in the quantitative interpretation of electric potential anomalies produced by elongated dipole distributions, at spatial frequency domain.

show abstract

“…It is a fundamental tool for studying of various processes and for this reason it is present in basically every scientific discipline. In last decades, the Fourier transformation was used in distinctive fields such as geophysics (Maus 1999, Skianis et al 2006, image decomposition in neuroscience (Guyader et al 2004), imaging in medical applications (Lehmann et al, 1999) just to mention a few. Recently, FT was successfully applied in wood sciences (Fujita et al 1996;.…”

Section: Introductionmentioning

confidence: 99%