Abstract
The non-linear apparent resistivity problem in the subsurface study of the earth takes into account the model parameters in terms of resistivity and thickness of individual subsurface layers using the trained synthetic data by means of Artificial Neural Networks (ANN). Here we used a single layer feed-forward neural network with fast back propagation learning algorithm. So on proper training of back propagation networks it tends to give the resistivity and thickness of the subsurface layer model of the field resistivity data with reference to the synthetic data trained in the appropriate network. During training, the weights and biases of the network are iteratively adjusted to make network performance function level more efficient. On adequate training, errors are minimized and the best result is obtained using the artificial neural networks. The network is trained with more number of VES data and this trained network is demonstrated by the field data. The accuracy of inversion depends upon the number of data trained. In this novel and specially designed algorithm, the interpretation of the vertical electrical sounding has been done successfully with the more accurate layer model.
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Ahmad Neyamadpour, WAT Wan Abullah and Samsudin Taib 2010 Inversion of quasi-3D DC resistivity imaging data using artificial neural networks; J. Earth Syst. Sci. 119 27–40
Aristodemou E, Pain C, De Oliveira C, Goddard T and Harris C 2005 Inversion of nuclear well-logging data using neural networks; Geophys. Prospect. 53 103–120
Backus G E and Gilbert J F 1969 Uniqueness in the inversion of inaccurate gross earth data; Phil. Trans. Roy. Soc. A 266 123–192
Batte A G, Muwanga A and Sigrist W P 2008 Evaluating the use of vertical electrical sounding as a groundwater exploration technique to improve on the certainty of borehole yield in Kamuli district (Eastern Uganda); African J. Sci. Technol. (AJST) 9 72–85
Baum E and Hausler D 1989 What size net gives valid generalization? In: Advances in Neural Information Processing Systems I (ed.) Touretzky D, Morgan Kaufman, pp. 80–90
Calderon-Macias C, Sen M K and Stoffa P L 2000 Artificial neural networks for parameter estimation in geophysics; Geophys. Prospect. 48 21–47
Cranganu C 2007 Using Artificial Neural Networks to predict the presence of overpressured zones in the Anadarko Basin, Oklahoma; Pure Appl. Geophys. 164 2067–2081
El Qady G and Ushijima K 2001 Inversion of dc resistivity data using neural networks; Geophys. Prospect. 49 417–430
Flathe H 1955 A practical method of calculating geoelectrical model graphs for horizontally stratified media; Geophys. Prospect. 3 268–294
Ghosh D P 1971 Inverse filter coefficients for the computation of the apparent resistivity standard curves for horizontally stratified earth; Geophys. Prospect. 19 769–775
Haykin S 2009 Neural Networks and Learning Machines; 3rd edn, Prentice Hall.
Jimmy Stephen, Manoj C and Singh S B 2004 A direct inversion scheme for deep resistivity sounding data using artificial neural networks; Proc. Indian Acad. Sci. 113 49–66
Kalpan Choudhury D K and Saha 2004 Integrated geophysical and chemical study of saline water intrusion; Groundwater 42 671–677
Kosinky W K and Kelly W E 1981 Geoelectrical sounding for predicting aquifer properties; Groundwater 19 163–171
Louis I F, Louis F L and Grambas A 2002 Exploring for favorable groundwater conditions in hard rock environments by resistivity imaging methods: Synthetic simulation approach and case study example; J. Electr. Electron. Eng., Spec. Issue, pp. 1–14 (http://www.geophysicsonline.gr/paper-10.pdf)
Maiti S and Tiwari R K 2008 Classification of lithofacies boundaries using the KTB borehole data: A Bayesian Neural Network Modeling; 7th International Conference and Explosition on Petroleum Geophysics, Hyderabad, 80p
Maiti S and Tiwari R K 2009 A hybrid Monte Carlo method based artificial neural networks approach for rock boundariesidentification: A case study from the KTB bore hole; Pure Appl. Geophys. 166 2059–2090
Maiti S, Gupta G, Erram V C and Tiwari R K 2011 Inversion of Schlumberger resistivity sounding data from the critically dynamic Koyna region using hybrid Monte Carlo-based neural network approach; Nonlinear Process Geophys. 18 179–192
Maiti S, Erram V C, Gautam Gupta, Ram Krishna Tiwari, Kulkarni U D and Sangpal R R 2012 Assessment of groundwater quality: A fusion of geochemical and geophysical information via Bayesian neural networks; Environ. Monit. Assess.,s doi:10.1007/s10661-012-2802-y.
Maiti S, Gautam Gupta, Vinit C Erram and Ram Krishna Tiwari 2013 Delineation of shallow resistivity structure around Malvan, Konkan region, Maharashtra by neural network inversion using vertical electrical sounding measurements; Environ. Earth Sci. 68 779–794
MATLAB R 2008 The Mathworks, Inc., Natick, MA
Mazac O, Kelly W E and Landa I 1985 A hydrophysical model for relation between electrical and hydraulic properties of aquifers; J. Hydrol. 79 1–19
Mooney H M, Orellana E, Pickett H and Tornheim L 1966 A resistivity computation method for layered earth model; Geophys. 31 192–203
Poulton M M, Sternberg B K and Glass C E 1992 Location of subsurface targets in geophysical data using neural networks; Geophys. 57 1534–1544
Rumelhart D E, Hinton G E and Williams R J 1986 Learning internal representation by error propagation; Parallel Distributed Processing (Cambridge, MA: MIT Press) 1 318–362
Satyendra Narayan, Maurice B Dusseault and David C Nobes 1994 Inversion techniques applied to resistivity inverse problems; Inverse Problems 10 669–686
Satish Kumar 2007 Neural networks A class room approach, Tata McGraw-Hill Publishing Limited., New Delhi.
Sheen N 1997 Automatic interpretation of archaeological gradiometer data using a hybrid neural network, PhD thesis, University of Bradford
Singh U K, Tiwari R K and Singh S B 2005 One-dimensional inversion of geo-electrical resistivity sounding data using artificial neural networks a case study; Comput. Geosci. 31 99–108
Singh U K, Tiwari R K and Singh S B 2010 Inversion of 2D DC resistivity data using rapid optimization and minimal complexity neural network; Nonlinear Process Geophys. 17 1–12
Sivanandam S N, Sumathi S and Deepa S N 2007 Introduction to Neural Networks using MATLAB 6.0; 3rd edn, Chapter 8, Feed forward Networks, Tata McGraw Hill Publishing Company Ltd.
Sreekanth P D, Geethanjali N, SreeDevi P D, Ahmed Sreekanth Shakeel, Ravikumar N and Kamala Jayanthi P D 2009 Forecasting groundwater level using artificial neural networks; Curr. Sci. 96 933–939
Srinivas Y, Stanley Raj A, Hudson Oliver D, Muthuraj D and Chandrasekar N 2010 An application of Artificial Neural Network for the interpretation of three layer electrical resistivity data using Feed Forward Back Propagation Algorithm; Curr. Dev. Artif. Intel. 1 1–11
Srinivas Y, Stanley Raj A, Hudson Oliver D, Muthuraj D and Chandrasekar N 2012 A robust behavior of Feed Forward Back propagation algorithm of Artificial Neural Networks in the application of vertical electrical sounding data inversion; Geosci. Frontiers 3(5) 729–736
Sri Niwas and Singhal D C 1981 Estimation of aquifer transmissivity from Dar-Zarrouk parameters in porous media; J. Hydrol. 50 393–399
Telford W M, Geldart L P and Sheriff R E 1990 Applied Geophysics; 2nd edn, Cambridge University Press, Cambridge
Tikhonov A N and Arsenin V Y 1977 Solution of Ill-Posed Problems; Winston, Washington DC.
Van Dam J C 1964 A simple method for the calculation of standard graphs to be used in geoelectrical prospecting; Ph.D thesis, Delft Technological University, The Netherlands
Vander Baan M and Jutten C 2000 Neural networks in geophysical applications; Geophys. 65 1032–1047
Vittal P R and Malini V 2007 Statistical and numerical methods; Margham Publications, Chennai, 13.1–13. 61p
Weiland A and Leighton R 1987 Geometric analysis of neural network capabilities; IEEE 1st International Conference on Neural Networks
Werbos P J 1974 Beyond regression: New tools for prediction and analysis in the behavioral sciences; PhD thesis, Harvard University
Yadav G S and Abolfazli H 1998 Geoelectrical soundings and their relationships to hydraulic parameters in semi arid regions of Jalore, north west India; J. Appl. Geophys. 39 35–51
Yegnanarayana B 2005 Artificial Neural Networks; Prentice Hall of India Private Limited, New Delhi. http://www.ualberta.ca/~unsworth/UA-classes/424/labs424-2012.html
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Raj, A.S., SRINIVAS, Y., Oliver, D.H. et al. A novel and generalized approach in the inversion of geoelectrical resistivity data using Artificial Neural Networks (ANN). J Earth Syst Sci 123, 395–411 (2014). https://doi.org/10.1007/s12040-014-0402-7
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DOI: https://doi.org/10.1007/s12040-014-0402-7