Paper ID:8270

Gravity Inversion of Talwani Model using Very Fast Simulated Annealing

Wahyu Srigutomo, Mohammad Heriyanto & Muhamad Hilmi Aufa

Physics of Earth and Complex System, Physics Department, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung 40132, Indonesia

E-mail: wahyu@fi.itb.ac.id

Received July 8th, 2018, Revised January 10th, 2019, Accepted for publication February 28th, 2019.

Abstract. Global approaches for estimating geophysical model parameters have been proposed by several authors, including their application for gravity interpretation, which is currently limited to simple and fixed geometrical problems. This paper proposes implementation of Very Fast Simulated Annealing (VFSA) in two-dimensional gravity interpretation problems, which are still rarely addressed. The modeling domain was divided into smaller sub-domains and gravity anomaly calculation was carried out based on the Talwani formulation.  To improve the uniqueness of the solution of under-determined problems, specific constraints were added in addition to the assumed known symmetry axes. The inversion of VFSA was tested on synthetic data generated by simple models and on previously published real data to evaluate the applicability of the proposed approach to the interpretation of field data.

Keywords: constraints; inversion; global approach; gravity; Very Fast Simulated Annealing.

References

[1] Talwani, M., Worzel, J.L. & Landisman, M., Rapid Computations for Two-Dimensional Bodies with Application to the Mendocino Submarine Fracture Zone, Journal of Geophysical Research, 64(1), pp. 49-59, 1959.

[2] Srigutomo, W. & Agusta, S.U, Application of Levenberg-Marquardt Inversion to Microgravity Data for Investigation of Shallow Volcanic Magma Chamber Deformation, AIP Conference Proceedings, 1454, Basar, K. & Viridi, S. (eds.), pp. 126-129, 2012.

[3] Vatankhah, S., Ardestani, V.E. & Renault, R.A., Automatic Estimation of the Regularization Parameter in 2-D Focusing Gravity Inversion: an Application to the Safo Manganese Mine in Northwest of Iran, Journal of Geophysics and Engineering, 11(4), 2014.

[4] Biswas, A. & Sharma, S.P. Integrated Geophysical Studies to Elicit the Structure Associated with Uranium Mineralization around South Purulia Shear Zone, India: A Review, Ore Geology Reviews, 72, pp. 1307-1326, 2016.

[5] Biswas, A. 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, pp. 1-12, 2016.

[6] Biswas, A., Mandal, A., Sharma, S.P. & Mohanty, W.K. Delineation of Subsurface Structure using Self-Potential, Gravity and Resistivity Surveys from South Purulia Shear Zone, India: Implication to Uranium Mineralization, Interpretation, 2(2), pp. T103-T110, 2014.

[7] Mandal, A., Mohanty, W.K., Sharma, S.P., Biswas, A., Sen, J. & Bhatt, A. K. Geophysical Signatures of Uranium Mineralization and its Subsurface Validation at Beldih, Purulia District, West Bengal, India: A Case Study, Geophysical Prospecting, 63, pp. 713-726, 2015.

[8] Mandal, A., Biswas, A., Mittal, S., Mohanty, W.K., Sharma, S.P. Sengupta, D., Sen, J. & Bhatt, A.K., Geophysical Anomalies Associated with Uranium Mineralization from Beldih Mine, South Purulia Shear Zone, India, Journal of the Geological Society of India, 82(6), pp. 601-606, 2013.

[9] Last, B.J. & Kubik, K., Compact Gravity Inversion, Geophysics, 48(6), pp. 713-721, 1983.

[10] Barbosa, V.C.F. & Silva, J.B.C., Generalized Compact Gravity Inversion, Geophysics, 59(1), pp. 57-68, 1994.

[11] Guillen, A. & Menichetti, V., Gravity and Magnetic Inversion with Minimization of a Specific Functional, Geophysics, 49(8), pp. 1354-1360, 1984.

[12] Silva, J.B.C. & Barbossa, V.C.F., Interactive Gravity Inversion, Geophysics, 71(1), pp. J1-J9, 2006.

[13] Ekinci, Y.L., 2D Focusing Inversion of Gravity Data with the Use of Parameter Variation as a Stopping Criterion, Journal of the Balkan Geophysical Society, 11(1), pp. 1-9, 2008.

[14] Vatankhah, S., Ardestani, E.V. & Jafari, A.M., A Method for 2-Dimensional Inversion of Gravity Data, Journal of the Earth and Space Physics, 40(3), pp. 23-33, 2014.

[15] Grandis, H. & Dahrin, D., Constrained Two-Dimensional Inversion of Gravity Data, J. Math. Fund. Sci. Vol. 46(1), pp. 1-13, 2014.

[16] Biswas, A., Interpretation of Residual Gravity Anomaly Caused by Simple Shaped Bodies using Very Fast Simulated Annealing Global Optimization, Geoscience Frontiers, 6, pp. 875-893, 2015.

[17] Biswas, A., Parija, M. P. & Kumar, S., Global Nonlinear Optimization for the Interpretation of Source Parameters from Total Gradient of Gravity and Magnetic Anomalies Caused by Thin Dyke. Annals of Geophysics, 60(2), G0218, pp. 1-17, 2017.

[18] Blakely, R.J., Potential Theory in Gravity and Magnetic Applications, Cambridge University Press, pp. 191-195, 1996.

[19] Ingber, L., Very Fast Simulated Re-Annealing, Mathl. Comput.  Modelling, 12(8), pp. 967-973, 1989.

[20] Ingber, L., Simulated Annealing: Practice Versus Theory, Mathematical Computer Modelling, 18 (11), pp. 29-57, 1993.

[21] Sen, M.K. & Stoffa, P.L., Global Optimization Methods in Geophysical Inversion, Elsevier, pp. 79-124, 1995.

[22] Mendoca, C.A. & Silva, J.B.C., The Equavalent Data Concept Applied to the Interpolation of Potential Field Data, Geophysics, 59(5), pp. 722-732, 1994.

[23] Mendoca, C.A. & Silva, J.B.C., Interpolation of Potential Field Data by Equivalent Layer and Mininum Curvature: A Comparative Analysis, Geophysics, 60(2), pp. 399-407, 1995.

[24] Jie, X. & Tao, Z. Multiobjective Particle Swarm Inversion Algorithm for Two-Dimensional Magnetic Data, Applied Geophysics, 12(2) p. 127-136, 2015.

[25] Liu, S., Liang, M. & Hu, X., Particle Swarm Optimization Inversion of Magnetic Data: Field Examples from Iron Ore Deposits in China, Geophysics, 83(4), pp. J43-J59, 2018.

[26] Templeton, R.J., Gravity Surveys at Woodlawn, in Geophysical Case Study of the Woodlawn Orebody, New South Wales, Australia: R.J. Whiteley, Ed. London, Pergamon Press, pp. 485-494, 1981.



View my Stats

Creative Commons License
This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.

 

ITB Journal Publisher, LPPM ITB, Center for Research and Community Services (CRCS) Building, 6th & 7th Floor, Jalan Ganesha 10, Bandung 40132, Indonesia, Phone: +62-22-86010080, Fax.: +62-22-86010051; E-mail: jmfs@lppm.itb.ac.id