Identification of a transient electric dipole over a conducting half space using a simulated annealing algorithm

Abstract

Abstract. Identification of a transient electric dipole over a conducting half-space by measuring fields at two ground points is considered. A simulated annealing algorithm (a global optimization method which mimics the slow cooling behavior of an atomic system with many degrees of freedom) is used to reconstruct the location, the orientation, and the transient moment of the dipole in multiple steps. Numerical examples are studied for a dipole (tested at three different positions) over three typical conducting half-spaces, namely, seawater, dry earth, and fresh water. The identification results based on a "perfectly conducting half-space model" search and a "finitely conducting half-space model" search are compared.

Inverse Problem for an Electrical Dipole and the Lightning Location Passive Monitoring System

“…The development of this method, which makes it possible to find the angular coordinates θ 0 ; ψ 0 ÀÁ of the EMR dipole source, is given in [6,7].…”

“…Let RT ðÞ be the set of registered signals in the time interval T: The integral estimate grade of radiation locus membership to cell C i;j;k ½ over period T let be grade i; j; k ½ ¼ The uncertainty in the dipole location is fundamentally unavoidable when single-point systems are using, however these errors can be eliminated by determining its generalized parameters at two or more points [4,6,7]. Thus, by integrating single-point systems of passive monitoring of thunderstorm activity into a single computer network, it is possible to increase the probability of detecting a lightning discharge and the accuracy of determining its coordinates.…”

“…The effective algorithm for the single-point distance determination to a pulsed EMR source was proposed and investigated in the papers [4,5], and pointed out to the emergence of irremovable uncertainty in the location of the EMR source by a one-point method caused by the difference in the orientation of the dipole from the vertical. The use of two or more observation points that do not belong to the same straight line makes it possible to determine the position parameters of the equivalent dipole [4,6,7].…”

Groundwater nitrate monitoring network optimization with missing data

“…Simulated annealing has had many applications in water management studies and in related fields, and proved to be a good optimization algorithm for difficult combinatorial problems. Examples are given by [2001, 2003] and [2001] in the optimization of crop irrigation; by [1998] and [2000] in geophysical data inversion for groundwater detection; by [1992], [1996], [2001a, 2001b], and [2000] for groundwater remediation optimization schemes; by [1999] for water distribution network design; by [2001], [1998], [1999], [1991], and [1993] for groundwater management; and by [2002], [2000], [1999], [1994], [1997], and [1996] for sampling optimization.…”

“…[33] Simulated annealing has had many applications in water management studies and in related fields, and proved to be a good optimization algorithm for difficult combinatorial problems. Examples are given by Kuo et al [2001Kuo et al [ , 2003 and Berkowitz and Hansen [2001] in the optimization of crop irrigation; by Fallat and Dosso [1998] and Popov and He [2000] in geophysical data inversion for groundwater detection; by Kuo et al [1992], Rizzo and Dougherty [1996], Skaggs et al [2001aSkaggs et al [ , 2001b…”