The Simplex Algorithm for Best-Estimate of Magnetic Parameters Related to Simple Geometric-Shaped Structures

Inversion of Source Parameters from Magnetic Anomalies for Mineral/Ore Deposits Exploration Using Global Optimization Technique and Analysis of Uncertainty

“…The data were digitized at 0.4-m interval. Several researchers have modeled the same anomaly using different techniques (Silva 1989;Abdelrahman and Sharafeldin 1996;Tlas 2004, 2007;Abdelrahman and Essa 2015;Tlas and Asfahani 2015) assuming a horizontal cylinder as well as thin-sheet structure. It was modeled by means of the present inversion.…”

“…Other elucidation methods that were developed include Fourier transform techniques, Hilbert transforms, monograms, characteristic points and distance approaches, least-squares residual anomalies (Bhattacharyya 1965;Grant and West 1965;Mohan et al 1982;Prakasa Rao et al 1986;Abdelrahman 1994;Abdelrahman and Sharafeldin 1996). Many linear and linearized inversions such as least squares, linearized least squares, normalized local wave number method, analytic signal derivatives, second-horizontal derivatives, Euler deconvolution method, simplex algorithm, fair function minimization have also been developed (McGrath and Hood 1973;Silva 1989;Salem and Ravat 2003;Salem et al 2004;Salem 2005;Salem and Smith 2005;Tlas and Asfahani 2011a, b;Abdelrahman and Essa 2015;Tlas and Asfahani 2015). Global optimization methods such as simulated annealing, very fast simulated annealing, regularized inversion, particle swarm optimization and higher-order horizontal derivative methods (Gokturkler and Balkaya 2012;Sharma and Biswas 2013;Biswas and Sharma 2014a, b;Mehanee 2014a, b;Biswas 2015;Singh and Biswas 2015;Biswas 2016;Biswas and Acharya 2016;Ekinci 2016) have been effectively applied to solve nonlinear parametric inversion problems.…”

Global nonlinear optimization for the interpretation of source parameters from total gradient of gravity and magnetic anomalies caused by thin dyke

“…This anomaly was interpreted by several authors (Tlas and Asfahani, 2015, Abdelrahman and Essa, 2015, Asfahani and Tlas, 2007, Asfahani and Tlas, 2004, Abdelrahman and Sharafeldin, 1996, Gay, 1963 assuming a thin dyke model. The anomaly is interpreted using VFSA to obtain the different parameters.…”

“…(z = 66 m), Asfahani and Tlas, 2004 (z = 71.50 m), Asfahani and Tlas, 2007 (z = 71.50 m), Abdelrahman and Essa, 2015 (z = 60 m), Tlas and Asfahani, 2015 (z = 64.1 m), Ekinci, 2016 (z = 67.9 m using derivative method and 68.3 m using PSO) and Abo-Ezz and Essa, 2016 (z = 61.5 m) are in good agreement with the other published literatures as shown in Table 6. Figure 14 depicts the fitting between the observed and interpreted mean model.…”

“…2001], Fourier transform [Odegard and Berg 1965, Bhattacharyya 1965, Sharma and Geldart 1968, Euler deconvolution [Thompson 1982], Mellin transform [Mohan et al 1986], Hilbert transforms [Mohan et al 1982], least squares minimization approaches [Gupta 1983, Silva 1989, McGrath and Hood 1973, Lines and Treitel 1984, Abdelrahman 1990, Abdelrahman et al 1991, Abdelrahman and El-Araby 1993, Abdelrahman and Sharafeldin 1995a, Werner deconvolution [Hartmann et al 1971, Jain 1976, Kilty 1983; Walsh Transformation [Shaw and Agarwal 1990], Continual least-squares methods [Abdelrahman and Sharafeldin 1995b, Abdelrahman et al 2001a, b, Essa 2012, Euler deconvolution method [Salem and Ravat 2003], Fair function minimization procedure andAsfahani 2011a, Asfahani andTlas 2012], DEXP method [Fedi 2007], deconvolution technique [Tlas and Asfahani 2011b]; Regularised inversion [Mehanee 2014, Mehanee andEssa 2015]; Simplex algorithm [Tlas and Asfahani 2015], simulated annealing methods [Gokturkler and Balkaya 2012], Very fast simulated annealing Acharya 2016, Biswas andSharma 2016a, b;Biswas 2015, b, Sharma and Biswas 2013a, particle swarm optimization [Singh and Biswas 2016] and Differential Evolution ] have been used to solve similar kind of no...…”