Quasi-2D Resistivity Model from Inversion of Vertical Electrical Sounding (VES) Data using Guided Random Search Algorithm

Diky Irawan, Hendra Grandis, Prihadi Sumintadiredja

Abstract


Vertical electrical sounding (VES) data are usually interpreted in terms of a 1D resistivity model using linearized inversion. The local approach of a non-linear inverse problem has fundamental limitations, i.e. the necessity of a starting model close to the solution and possible convergence to a local rather than a global minimum solution. We studied the application of a global search approach for non-linear inversion using the guided random search method to model VES data. A quasi-2D resistivity model can be created by stitching 1D models obtained from VES data along a profile. Both vertical and lateral resistivity variations are minimized to incorporate a 2D smoothness constraint. The proposed method was applied to invert synthetic VES data as well as field data from a sedimentary environment. Both synthetic and field data inversions resulted in models that correlated well with the known synthetic model and with the geology of the study area, respectively.

Keywords


2D model; DC resistivity; global search; Monte Carlo method; non-linear inversion.

Full Text:

PDF

References


Reynolds, J.M., An Introduction to Applied and Environmental Geophysics, 2nd Edition, John Wiley, 2011.

Dahlin, T., The Development of DC Resistivity Imaging Techniques, Computers and Geosciences, 27(9), pp. 1019-1029, 2001.

Loke, M.H., Chambers, J.E., Rucker, D.F., Kuras, O. & Wilkinson, P.B., Recent Developments in the Direct-Current Geoelectrical Imaging Method, Journal of Applied Geophysics, 95, pp. 135-156, 2013.

Cosenza, P., Marmet, E., Rejiba, F., Cui, Y.J., Tabbagh, A. & Charlery, Y., Correlations between Geotechnical and Electrical Data: A Case Study at Garchy in France, Journal of Applied Geophysics, 60(3-4), pp. 165-178, 2006.

Chambers, J.C., Kuras, O., Meldrum, P.I., Ogilvy, R.D. & Hollands, J., Electrical Resistivity Tomography Applied to Geologic, Hydrogeologic and Engineering Investigations at a Former Waste-disposal Site, Geophysics, 71(6), pp. B231-B239, 2006.

Auken, E., Pellerin, L., Christensen, N.B. & Sørensen, K.I., A Survey of Current Trends in Near-Surface Electrical and Electromagnetic Methods, Geophysics, 71(5), pp. G249-G260, 2006.

Capizzi, P., Martorana, R., Messina, P. & Cosentino, P.L., Geophysical and Geotechnical Investigations to Support the Restoration Project of the Roman ‘Villa del Casale’, Piazza Armerina, Sicily, Italy, Near Surface Geophysics, 10(2), pp. 145-160, 2012.

Brunet, P., Clement, R. & Bouvier, C., Monitoring Soil Water Content and Deficit Using Electrical Resistivity Tomography (ERT)–a Case Study in the Cevennes Area, France, Journal of Hydrology, 380(1), pp. 146-153, 2010.

Legault, J.M., Carriere, D. & Petrie, L., Synthetic Model Testing and Titan-24 DC Resistivity Results Over an Athabasca-type Unconformity Uranium Target at Wheeler River, Athabasca Basin, Northwestern Saskatchewan, Proceedings of 5th Decennial International Conference on Mineral Exploration, Toronto Canada, 2007.

Eaton, P., Anderson, B., Queen, S., Mackenzie, I. & Wynn, D., NEWDAS–The Newmont Distributed IP Data Acquisition System, SEG Expanded Abstracts, 29(1), pp. 1768-1772, 2010.

Bibby, H.M., Risk, G.F., Caldwell, T.G. & Heise, W., Investigations of Deep Resistivity Structures at the Wairakei Geothermal Field, Geothermics, 38(1), pp. 98-107, 2009.

Hamza, U., Samsudin, A.R. & Malim, E.P., Groundwater Investigation in Kuala Selangor Using Vertical Electrical Sounding (VES) Surveys, Environmental Geology, 51(8), pp. 1349-1359, 2006.

Roy, I.G., An Efficient Non-linear Least-squares 1D Inversion Scheme for Resistivity and IP Sounding Data, Geophysical Prospecting, 47(4), pp. 527-550, 1999.

Ekinci, Y.L. & Demirci, A., A Damped Least-Squares Inversion Program for the Interpretation of Schlumberger Sounding Curves, Journal of Applied Sciences, 8(22), pp. 4070-4078, 2008.

Auken, E., Christiansen, A.V., Jacobsen, L.H., Foged, N. & Sørensen, K.I., Piecewise 1D Laterally Constrained Inversion of Resistivity Data, Geophysical Prospecting, 53(4), pp. 497-506, 2005.

Santos, F.A.M. & El-Kaliouby, H., Quasi-2D Inversion of DCR and TDEM Data for Shallow Investigations, Geophysics, 76(4), pp. F239-F250, 2011.

Candansayar, M.E., Two-Dimensional Individual and Joint Inversion of Three- and Four-Electrode Array DC Resistivity Data, Journal of Geophysics and Engineering, 5(3), pp. 290-300, 2008.

Karaoulis, M., Revil, A., Tsourlos, P.I., Werkema, D.D. & Minsley, B.J., IP4DI: A Software for Time-Lapse 2D/3D DC-Resistivity and Induced Polarization Tomography, Computer and Geosciences, 54, pp. 164-170, 2013.

Riss, J., Fernandez-Martínez, J.L., Sirieix, C., Harmouzi, O., Marache, A. & Essahlaoui, A., A Methodology for Converting Traditional Vertical Electrical Soundings into 2D Resistivity Models: Application to the Saïss Basin, Morocco, Geophysics, 76(6), pp. B225-B236, 2011.

Grandis, H. & Irawan, D., 1D Inversion Modeling of Schlumberger VES Data Using Markov Chain Monte Carlo (MCMC) Method, Proceedings of 37th HAGI Annual Convention & Exhibition, Palembang, 2012.

Zhdanov, M.S. & Keller, G.V., The Geoelectrical Methods in Geophysical Exploration, Elsevier, 1994.

Grandis, H., Irawan, D. & Sumintadireja, P., Quasi-2D Resistivity Model from Inversion of Vertical Electrical Sounding (VES) Data for Preliminary Geothermal Prospecting, Proceedings of Indonesia International Geothermal Convention & Exhibition, Jakarta, 2014.

Auken, E., Anders, V., Christiansen, Jacobsen, B.H. & Sørensen, K.I., A Resolution Study of Buried Valleys Using Laterally Constrained Inversion of TEM Data, Journal of Applied Geophysics, 65(1), pp. 10-20, 2008.

Adhyaksawan, R., Seismic Facies and Growth History of Miocene Carbonate Platforms, Wonocolo Formation, North Madura Area, East Java Basin, Indonesia, 29th Annual Convention Proceedings, 1, Indonesian Petroleum Association (IPA), pp. 1-22, 2003.

Sen, K.M. & Stoffa, P.L., Global Optimization Methods in Geophysical Inversion, 2nd Edition, Elsevier, 2013.

Grandis, H., Menvielle, M. & Roussignol, M., Bayesian Inversion with Markov Chains–I, The Magnetotelluric One-dimensional Case. Geophysical Journal International, 138(3), pp. 757-768, 1999.

Irawan, D., 2D Resistivity Inversion Modeling from VES (Vertical Electrical Sounding) Data Using Guided Random Search Algorithm and its Applications, Dissertation Geophysical Engineering ITB, 2015. (Text in Indonesian)




DOI: http://dx.doi.org/10.5614%2Fj.math.fund.sci.2015.47.3.5

Refbacks

  • There are currently no refbacks.


View my Stats

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