Skip to main content
SpringerLink
Log in

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

  • Original Paper
  • Published:
Natural Resources Research Aims and scope Submit manuscript

Abstract

Global optimization algorithm using very fast simulated annealing has been used for modeling of magnetic anomaly over various idealized geobodies for mineral/ore deposit investigation. The present technique shows that it can match the observed data very well assuming some simple geometrical bodies such as sphere, horizontal cylinder and thin dyke or sheet. Uncertainty associated with the modeling was also studied. It has been found that the obtained source parameters are strongly identical when all the parameters are optimized. The present study shows that amplitude coefficient depends on the shape factor. The relation between them shows a multimodel-type uncertainty. The shape factor modeled from several VFSA runs shows the different kind of subsurface structure. Constraining the shape factor gives reliable results and analysis of histograms and cross-plots also gives the utmost reliable results, which show a unimodel character. Inversion of synthetic noise-free and noisy data shows the worth of the present work. The present algorithm was also tested in five field case studies for mineral/ore exploration. Computation time for this present work is very minimal.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Figure 7
Figure 8
Figure 9
Figure 10
Figure 11
Figure 12
Figure 13
Figure 14
Figure 15
Figure 16
Figure 17
Figure 18
Figure 19
Figure 20
Figure 21
Figure 22
Figure 23

Similar content being viewed by others

References

  • Abdelrahman, E. M. (1994). A rapid approach to depth determination from magnetic anomalies due to simple geometrical bodies. Journal of University of Kuwait Science, 21, 109–115.

    Google Scholar 

  • Abdelrahman, E. M., Abo-Ezz, E. R., & Essa, K. S. (2012). Parametric inversion of residual magnetic anomalies due to simple geometric bodies. Exploration Geophysics, 43, 178–189.

    Article  Google Scholar 

  • Abdelrahman, E. M., Abo-Ezz, E. R., Essa, K. S., El-Araby, T. M., & Soliman, K. S. (2007). A new least-squares minimization approach to depth and shape determination from magnetic data. Geophysical Prospecting, 55, 433–446.

    Article  Google Scholar 

  • Abdelrahman, E. M., El-Araby, T. M., & Essa, K. S. (2003). A least-squares minimisation approach to depth, index parameter, and amplitude coefficient determination from magnetic anomalies due to thin dykes. Exploration Geophysics, 34, 241–248.

    Article  Google Scholar 

  • Abdelrahman, E. M., & Essa, K. S. (2005). Magnetic interpretation using a least-squares, depth-shape curves method. Geophysics, 70, L23–L30.

    Article  Google Scholar 

  • Abdelrahman, E. M., & Essa, K. S. (2015). A new method for depth and shape determinations from magnetic data. Pure and Applied Geophysics, 172(2), 439–460.

    Article  Google Scholar 

  • Abdelrahman, E. M., & Sharafeldin, S. M. (1996). An iterative least-squares approach to depth determination from residual magnetic anomalies due to thin dykes. Applied Geophysics, 34, 213–220.

    Article  Google Scholar 

  • Abdelrahman, E. M., Soliman, K. S., El-Araby, T. M., Abo-Ezz, E. R., & Essa, K. S. (2009). A least-squares standard deviation method to interpret magnetic anomalies due to thin dykes. Near Surface Geophysics, 7, 41–46.

    Article  Google Scholar 

  • Abo-Ezz, E. R., & Essa, K. S. (2016). A least-squares minimization approach for model parameters estimate by using a new magnetic anomaly formula. Pure and Applied Geophysics, 173, 1265–1278.

    Article  Google Scholar 

  • Asfahani, J., & Tlas, M. (2004). Nonlinearly constrained optimization theory to interpret magnetic anomalies due to vertical faults and thin dykes. Pure and Applied Geophysics, 161, 203–219.

    Article  Google Scholar 

  • Asfahani, J., & Tlas, M. (2007). A robust nonlinear inversion for the interpretation of magnetic anomalies caused by faults, thin dykes and spheres like structure using stochastic algorithms. Pure and Applied Geophysics, 164, 2023–2042.

    Article  Google Scholar 

  • Atchuta Rao, D., Ram Babu, H. V., & Sankar Narayan, P. V. (1980). Relationship of magnetic anomalies due to subsurface features and interpretation of solving contacts. Geophysics, 45, 32–36.

    Article  Google Scholar 

  • Balkaya, Ç., Ekinci, Y. L., Göktürkler, G., & Turan, S. (2017). 3D non-linear inversion of magnetic anomalies caused by prismatic bodies using differential evolution algorithm. Journal of Applied Geophysics, 136, 372–386.

    Article  Google Scholar 

  • Bhattacharyya, B. K. (1965). Two-dimensional harmonic analysis as a tool for magnetic interpretation. Geophysics, 30, 829–857.

    Article  Google Scholar 

  • Biswas, A. (2015). Interpretation of residual gravity anomaly caused by a simple shaped body using very fast simulated annealing global optimization. Geoscience Frontiers, 6(6), 875–893.

    Article  Google Scholar 

  • Biswas, A. (2016). Interpretation of gravity and magnetic anomaly over thin sheet-type structure using very fast simulated annealing global optimization technique. Modeling Earth Systems and Environment, 2(1), 30.

    Article  Google Scholar 

  • Biswas, A., & Acharya, T. (2016). A very fast simulated annealing method for inversion of magnetic anomaly over semi-infinite vertical rod-type structure. Modeling Earth Systems and Environment, 2(4), 198.

    Article  Google Scholar 

  • Biswas, A., Mandal, A., Sharma, S. P., & Mohanty, W. K. (2014a). Delineation of subsurface structure using self-potential, gravity and resistivity surveys from South Purulia Shear Zone, India: Implication to uranium mineralization. Interpretation, 2(2), T103–T110.

    Article  Google Scholar 

  • Biswas, A., Mandal, A., Sharma, S. P., & Mohanty, W. K. (2014b). Integrating apparent conductance in resistivity sounding to constrain 2D gravity modeling for subsurface structure associated with uranium mineralization across South Purulia Shear Zone. International Journal of Geophysics, 2014, Article ID 691521, 1–8.

  • Biswas, A., & Sharma, S. P. (2014a). Resolution of multiple sheet-type structures in self-potential measurement. Journal of Earth System Science, 123(4), 809–825.

    Article  Google Scholar 

  • Biswas, A., & Sharma, S. P. (2014b). Optimization of self-potential interpretation of 2-D inclined sheet-type structures based on very fast simulated annealing and analysis of ambiguity. Journal of Applied Geophysics, 105, 235–247.

    Article  Google Scholar 

  • Biswas, A., & Sharma, S. P. (2015). Interpretation of self-potential anomaly over idealized body and analysis of ambiguity using very fast simulated annealing global optimization. Near Surface Geophysics, 13(2), 179–195.

    Google Scholar 

  • Biswas, A., & Sharma, S. P. (2016). Integrated geophysical studies to elicit the structure associated with Uranium mineralization around South Purulia Shear Zone, India: A review. Ore Geology Reviews, 72(2), 1307–1326.

    Article  Google Scholar 

  • Dosso, S. E., & Oldenburg, D. W. (1991). Magnetotelluric appraisal using simulated annealing. Geophysical Journal International, 106, 370–385.

    Google Scholar 

  • Ekinci, Y. L. (2016). MATLAB-based algorithm to estimate depths of isolated thin dyke-like sources using higher-order horizontal derivatives of magnetic anomalies. Springer Plus, 5(1), 1384.

    Article  Google Scholar 

  • Ekinci, Y. L., Balkaya, Ç., Göktürkler, G., & Turan, S. (2016). Model parameter estimations from residual gravity anomalies due to simple-shaped sources using Differential Evolution Algorithm. Journal of Applied Geophysics, 129, 133–147.

    Article  Google Scholar 

  • El-Kaliouby, H. M., & Al-Garni, M. A. (2009). Inversion of self-potential anomalies caused by 2D inclined sheets using neural networks. Journal of Geophysics and Engineering, 6, 29–34.

    Article  Google Scholar 

  • Gay, S. P. (1963). Standard curves for the interpretation of magnetic anomalies over long tabular bodies. Geophysics, 28, 161–200.

    Article  Google Scholar 

  • Gay, S. P. (1965). Standard curves for the interpretation of magnetic anomalies over long horizontal cylinders. Geophysics, 30, 818–828.

    Article  Google Scholar 

  • Gokturkler, G., & Balkaya, C. (2012). Inversion of self-potential anomalies caused by simple geometry bodies using global optimization algorithms. Journal of Geophysics and Engineering, 9, 498–507.

    Article  Google Scholar 

  • Grant, R. S., & West, G. F. (1965). Interpretation theory in applied geophysics. New York: McGraw-Hill.

    Google Scholar 

  • Ingber, L., & Rosen, B. (1992). Genetic algorithms and very fast simulated reannealing: A comparison. Mathematical and Computer Modeling, 16, 87–100.

    Article  Google Scholar 

  • Katti, V. J., Sen, J., & Bhatt, A. K. (2010). Uranium potentiality of South Purulia Shear Zone, Eastern India Shield: Presented in technical committee meeting on low grade uranium deposits. IAEA, Vienna, Austria, March 29–31.

  • Li, J. H., Feng, D. S., Xiao, J. P., & Peng, L. X. (2011). Calculation of all-time apparent resistivity of large loop transient electromagnetic method with very fast simulated annealing. Journal of Central South University of Technology, 18, 1235–1239.

    Article  Google Scholar 

  • Mandal, A., Biswas, A., Mittal, S., Mohanty, W. K., Sharma, S. P., Sengupta, D., et al. (2013). Geophysical anomalies associated with uranium mineralization from Beldih mine, South Purulia Shear Zone, India. Journal of the Geological Society of India, 82(6), 601–606.

    Article  Google Scholar 

  • Mandal, A., Mohanty, W. K., Sharma, S. P., Biswas, A., Sen, J., & Bhatt, A. K. (2015a). Geophysical signatures of uranium mineralization and its subsurface validation at Beldih, Purulia District, West Bengal, India: A case study. Geophysical Prospecting, 63, 713–724.

    Article  Google Scholar 

  • Mandal, A., Mohanty, W. K., Sharma, S. P., & Gupta, S. (2015b). Laterite covered mafic-ultramafic potential target for chromite exploration: A case study from southern part of Tangarparha, Odisha, India. Journal of Geological Society of India, 86(5), 519–529.

    Article  Google Scholar 

  • Martínez, J. L. F., Gonzalo, E. G., Álvarez, J. P. F., Kuzma, H., & Omar, C. (2010). PSO: A powerful algorithm to solve geophysical inverse problems: Application to a 1D-DC resistivity case. Journal of Applied Geophysics, 71, 13–25.

    Article  Google Scholar 

  • McGrath, H. (1970). The dipping dyke case: A computer curve-matching method of magnetic interpretation. Geophysics, 35(5), 831.

    Article  Google Scholar 

  • McGrath, P. H., & Hood, P. J. (1973). An automatic least-squares multimodel method for magnetic interpretation. Geophysics, 38(2), 349–358.

    Article  Google Scholar 

  • Mehanee, S. (2014a). An efficient regularized inversion approach for self-potential data interpretation of ore exploration using a mix of logarithmic and non-logarithmic model parameters. Ore Geology Reviews, 57, 87–115.

    Article  Google Scholar 

  • Mehanee, S. (2014b). Accurate and efficient regularized inversion approach for the interpretation of isolated gravity anomalies. Pure and Applied Geophysics, 171(8), 1897–1937.

    Article  Google Scholar 

  • Mohan, N. L., Sundararajan, N., & Seshagiri Rao, S. V. (1982). Interpretation of some two-dimensional magnetic bodies using Hilbert transforms. Geophysics, 46, 376–387.

    Article  Google Scholar 

  • Monteiro Santos, F. A. (2010). Inversion of self-potential of Idealized bodies’ anomalies using particle swarm optimization. Computers and Geosciences, 36, 1185–1190.

    Article  Google Scholar 

  • Mosegaard, K., & Tarantola, A. (1995). Monte Carlo sampling of solutions to inverse problems. Journal of Geophysical Research, 100(B7), 12431–12447.

    Article  Google Scholar 

  • Nabighian, M. N., Grauch, V. J. S., Hansen, R. O., La Fehr, T. R., Li, Y., Peirce, J. W., et al. (2005). The historical development of the magnetic method in exploration. Geophysics, 70, 33ND–61ND.

    Article  Google Scholar 

  • Prakasa Rao, T. K. S., & Subrahmanyam, M. (1988). Characteristic curves for inversion of magnetic anomalies of spherical ore bodies. Pure and Applied Geophysics, 126, 67–83.

    Article  Google Scholar 

  • Prakasa Rao, T. K. S., Subrahmanyan, M., & Srikrishna Murthy, A. (1986). Nomograms for direct interpretation of magnetic anomalies due to long horizontal cylinders. Geophysics, 51, 2150–2159.

    Google Scholar 

  • Rao, B. S. R., Prakasa Rao, T. K. S., & Krishna Murthy, A. S. (1977). A note on magnetized spheres. Geophysical Prospecting, 25, 746–757.

    Article  Google Scholar 

  • Rothman, D. H. (1985). Nonlinear inversion, statistical mechanics and residual statics estimation. Geophysics, 50, 2784–2796.

    Article  Google Scholar 

  • Rothman, D. H. (1986). Automatic estimation of large residual statics correction. Geophysics, 51, 337–346.

    Article  Google Scholar 

  • Salem, A. (2005). Interpretation of magnetic data using analytic signal derivatives. Geophysical Prospecting, 53, 75–82.

    Article  Google Scholar 

  • Salem, A., & Ravat, D. (2003). A combined analytic signal and Euler method (AN-EUL) for automatic interpretation of magnetic data. Geophysics, 68(6), 1952–1961.

    Article  Google Scholar 

  • Salem, A., Ravat, D., Martin, F. M., & Ushijima, K. (2004). Linearized least-squares method for interpretation of potential-field data from sources of simple geometry. Geophysics, 69(3), 783–788.

    Article  Google Scholar 

  • Salem, A., & Smith, R. (2005). Depth and structural index from normalized local wavenumber of 2D magnetic anomalies. Geophysical Prospecting, 53, 83–89.

    Article  Google Scholar 

  • Sen, M. K., & Stoffa, P. L. (1996). Bayesian inference, Gibbs sampler and uncertainty estimation in geophysical inversion. Geophysical Prospecting, 44, 313–350.

    Article  Google Scholar 

  • Sen, M. K., & Stoffa, P. L. (2013). Global optimization methods in geophysical inversion (2nd ed.). London: Cambridge Publisher.

    Book  Google Scholar 

  • Sharma, S. P. (2012). VFSARES: A very fast simulated annealing FORTRAN program for interpretation of 1-D DC resistivity sounding data from various electrode array. Computers and Geosciences, 42, 177–188.

    Article  Google Scholar 

  • Sharma, S. P., & Biswas, A. (2011). Global nonlinear optimization for the estimation of static shift and interpretation of 1-D magnetotelluric sounding data. Annals of Geophysics, 54(3), 249–264.

    Google Scholar 

  • Sharma, S. P., & Biswas, A. (2013). Interpretation of self-potential anomaly over a 2D inclined structure using very fast simulated-annealing global optimization: An insight about ambiguity. Geophysics, 78, WB3–WB15.

    Article  Google Scholar 

  • Sharma, S. P., Biswas, A., & Mittal, S. (2014). Delineation of extension of uranium mineralization zone using resistivity and very low frequency electromagnetic surveys around South Purulia Shear Zone, India. Journal of the Geological Society of India, 84(6), 645–656.

    Article  Google Scholar 

  • Silva, J. B. C. (1989). Transformation of nonlinear problems into linear ones applied to the magnetic field of a two-dimensional prism. Geophysics, 54, 114–121.

    Article  Google Scholar 

  • Singh, A., & Biswas, A. (2015). Application of global particle swarm optimization for inversion of residual gravity anomalies over geological bodies with idealized geometries. Natural Resources Research, 25(3), 297–314.

    Article  Google Scholar 

  • Tlas, M., & Asfahani, J. (2011a). Fair function minimization for interpretation of magnetic anomalies due to thin dykes, spheres and faults. Journal of Applied Geophysics, 75, 237–243.

    Article  Google Scholar 

  • Tlas, M., & Asfahani, J. (2011b). A new-best-estimate methodology for determining magnetic parameters related to field anomalies produced by buried thin dykes and horizontal cylinder-like structures. Pure and Applied Geophysics, 168, 861–870.

    Article  Google Scholar 

  • Tlas, M., & Asfahani, J. (2015). The simplex algorithm for best-estimate of magnetic parameters related to simple geometric-shaped structures. Mathematical Geosciences, 47(3), 301–316.

    Article  Google Scholar 

  • Verma, R. K., & Bandopadhyaya, R. R. (1975). A magnetic survey over Bankura Anorthosite complex and surrounding areas. Indian Journal of Earth Science, 2, 117–124.

    Google Scholar 

  • Zhao, L. S., Sen, M. K., Stoffa, P. L., & Frohlich, C. (1996). Application of very fast simulated annealing to the determination of the crustal structure beneath Tibet. Geophysical Prospecting, 125, 355–370.

    Google Scholar 

Download references

Acknowledgments

The author thanks the Editor-in-Chief, Prof. John Carranza and two anonymous reviewers for their comments and suggestions that helped to improve the quality of the manuscript. The author also acknowledges the necessary facilities and support from the Director of Wadia Institute of Himalayan Geology, Dehradun, to complete this work.

Author information

Authors and Affiliations

  1. Wadia Institute of Himalayan Geology (WIHG), 33, General Mahadev Singh Road, Dehradun, Uttarakhand, 248001, India

    Arkoprovo Biswas

Authors
  1. Arkoprovo Biswas
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Arkoprovo Biswas.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Biswas, A. Inversion of Source Parameters from Magnetic Anomalies for Mineral/Ore Deposits Exploration Using Global Optimization Technique and Analysis of Uncertainty. Nat Resour Res 27, 77–107 (2018). https://doi.org/10.1007/s11053-017-9339-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11053-017-9339-2

Keywords

Search

Navigation