Using the Directional Analytic Signals of Magnetic Gradient Tensor to Determine Boundaries of Source
Main Article Content
Abstract
The analytic signals of the magnetic tensor gradient within two- and three-dimensional space domain can be applied as a useful tool to estimate the depth and position of magnetic sources because their values only depend on location but not on magnetization direction of the sources of the magnetic anomaly. In this paper, we present results of the study for application of the combination of derivatives of directional analytic signals of the magnetic tensor gradient and maximum horizontal gradient to determine the edges of the sources through the Edge-Detector function (|ED|). Algorithms and programs written in the Matlab language have been used for testing the calculation on 3D models in correlative comparison with the method using the amplitude function of analytic signals. The calculation results showed the advantages of the |ED| function and its applicability in determing the boundaries of sources of magnetic anomaly.
Keywords:
Analytic signal, magnetic tensor gradient, Edge-detector, |ED|.
References
Vietnamese references
[1]. Le Huy Minh, Luu Viet Hung, Cao Dinh Trieu, 2001. Some modern methods of the interpretation aeromagnetic data applied for Tuan Giao region. Journal of Earth Sciences, Publisher of Science and Engineering, Hanoi, 22[3], p.207-216.
[2]. Vo Thanh Son, Le Huy Minh, Luu Viet Hung, 2005. Three-dimensional analytic signal method and its application in interpretation of aeromagnetic anomaly maps in the Tuan Giao region. Proceedings of the 4th geophysical scientific and technical conference of Vietnam, Publisher of Science and Engineering 2005.
[3]. Vo Thanh Son, Le Huy Minh, Luu Viet Hung, 2005. Determining the horizontal position and depth of the density discontinuties in Red River Delta by using the vertical derivative and Euler deconvolution for the gravity anomaly data, Journal of Geology, Series A, No. 287,3-4/2005, p.39-52.
[4]. Do Duc Thanh, Nguyen Thi Thu Hang,2011. Atempt the improvement of inversion of magnetic anomalies of two dimensional polygonal cross sections to determine the depth of magnetic basement in some data profile of middle off shelf of Vietnam. Journal of Science and Technology, Vietnam Academy of Science and Technology, Volume 49, 2nd edition, p.125 – 132
English references
[5]. Bhaskara Rao D. and Ramesh Babu N.,1993.A fortran 77 computer program for tree dimensional inversion of magnetic anomalies resulting from multiple prismatic bodies, Computer & Geosciences. Vol.19, No.8, pp.781 – 801
[6]. Blakely, R. J., and R. W. Simpson,1986.Approximating edges of source bodies from magnetic or gravity anomalies: Geophysics, Vol.51, pp.1494 -1498.
[7].Blakely, R. J., Potential theory in gravity and magnetic applications, Cambridge University Press, 1995
[8]. Debeglia, N., and J. Corpel, 1997.Automatic 3-D interpretation of potential field data using analytic signal derivatives. Geophysics, Vol.62, pp. 87–96.
[9]. Majid Beiki, David A. Clark, James R. Austin, and Clive A. Foss, 2012. Estimating source location using normalized magnetic source strength calculated from magnetic gradient tensor data. Geophysics Vol.77, No.6, pp.J23–J37.
[10]. Majid Beiki, 2010.Analytic signals of gravity gradient tensor and their application to estimate source location: Geophysics, Vol.75, No.6, pp.159-174.
[11]. Nabighian, M. N., 1972.The analytic signal of two-dimensional magnetic bodies with polygonal cross-section: Its properties and use of automated anomaly interpretation: Geophysics, Vol.37 ,pp.507–517.
[12]. Nabighian, M. N.,1974.Additional comments on the analytic signal of two-dimensionalmagnetic bodies with polygonal cross-section. Geophysics, Vol.39, pp. 85–92.
[13]. Nabighian, M. N., 1984. Toward a three-dimensional automatic interpreta-tion of potential field data via generalized Hilbert transforms — Fundamental relations, Geophysics, Vol.49, pp.780–786.
[14]. Pedersen, L. B., and T. M. Rasmussen, 1990,The gradient tensor of potential field anomalies: Some implications on data collection and data processing of maps.Geophysics, Vol.55, pp.1558–1566.
[15].Radhakrishna Murthy I.V., P. Ramarao,1993. Inversion and magnetic anomalies of two - dimensional polygonal cross sections.Computer & Geosciences. Vol.19, No.10, pp.1213 – 1228.
[16]. Reid B., J. M. Allsop, H Granser, A. J. Milett and W. Somerton, 1990. Magnetic interpretation in three dimensions using Euler deconvolution, Geophysics, Vol.55, pp. 80-91.
[17]. Roest, W. R., J. Verhoef, and M. Pilkington, 1992.Magnetic interpretation using the 3-D analytic signal: Geophysics, Vol.57, 116–125.
[1]. Le Huy Minh, Luu Viet Hung, Cao Dinh Trieu, 2001. Some modern methods of the interpretation aeromagnetic data applied for Tuan Giao region. Journal of Earth Sciences, Publisher of Science and Engineering, Hanoi, 22[3], p.207-216.
[2]. Vo Thanh Son, Le Huy Minh, Luu Viet Hung, 2005. Three-dimensional analytic signal method and its application in interpretation of aeromagnetic anomaly maps in the Tuan Giao region. Proceedings of the 4th geophysical scientific and technical conference of Vietnam, Publisher of Science and Engineering 2005.
[3]. Vo Thanh Son, Le Huy Minh, Luu Viet Hung, 2005. Determining the horizontal position and depth of the density discontinuties in Red River Delta by using the vertical derivative and Euler deconvolution for the gravity anomaly data, Journal of Geology, Series A, No. 287,3-4/2005, p.39-52.
[4]. Do Duc Thanh, Nguyen Thi Thu Hang,2011. Atempt the improvement of inversion of magnetic anomalies of two dimensional polygonal cross sections to determine the depth of magnetic basement in some data profile of middle off shelf of Vietnam. Journal of Science and Technology, Vietnam Academy of Science and Technology, Volume 49, 2nd edition, p.125 – 132
English references
[5]. Bhaskara Rao D. and Ramesh Babu N.,1993.A fortran 77 computer program for tree dimensional inversion of magnetic anomalies resulting from multiple prismatic bodies, Computer & Geosciences. Vol.19, No.8, pp.781 – 801
[6]. Blakely, R. J., and R. W. Simpson,1986.Approximating edges of source bodies from magnetic or gravity anomalies: Geophysics, Vol.51, pp.1494 -1498.
[7].Blakely, R. J., Potential theory in gravity and magnetic applications, Cambridge University Press, 1995
[8]. Debeglia, N., and J. Corpel, 1997.Automatic 3-D interpretation of potential field data using analytic signal derivatives. Geophysics, Vol.62, pp. 87–96.
[9]. Majid Beiki, David A. Clark, James R. Austin, and Clive A. Foss, 2012. Estimating source location using normalized magnetic source strength calculated from magnetic gradient tensor data. Geophysics Vol.77, No.6, pp.J23–J37.
[10]. Majid Beiki, 2010.Analytic signals of gravity gradient tensor and their application to estimate source location: Geophysics, Vol.75, No.6, pp.159-174.
[11]. Nabighian, M. N., 1972.The analytic signal of two-dimensional magnetic bodies with polygonal cross-section: Its properties and use of automated anomaly interpretation: Geophysics, Vol.37 ,pp.507–517.
[12]. Nabighian, M. N.,1974.Additional comments on the analytic signal of two-dimensionalmagnetic bodies with polygonal cross-section. Geophysics, Vol.39, pp. 85–92.
[13]. Nabighian, M. N., 1984. Toward a three-dimensional automatic interpreta-tion of potential field data via generalized Hilbert transforms — Fundamental relations, Geophysics, Vol.49, pp.780–786.
[14]. Pedersen, L. B., and T. M. Rasmussen, 1990,The gradient tensor of potential field anomalies: Some implications on data collection and data processing of maps.Geophysics, Vol.55, pp.1558–1566.
[15].Radhakrishna Murthy I.V., P. Ramarao,1993. Inversion and magnetic anomalies of two - dimensional polygonal cross sections.Computer & Geosciences. Vol.19, No.10, pp.1213 – 1228.
[16]. Reid B., J. M. Allsop, H Granser, A. J. Milett and W. Somerton, 1990. Magnetic interpretation in three dimensions using Euler deconvolution, Geophysics, Vol.55, pp. 80-91.
[17]. Roest, W. R., J. Verhoef, and M. Pilkington, 1992.Magnetic interpretation using the 3-D analytic signal: Geophysics, Vol.57, 116–125.