Abstract
The inverse problem (IP) of exploration geophysics consists in reconstructing the spatial distributionf of the properties of the medium in the Earth’s interior from measurements on its surface. This IP is a non-linear ill-posed ill-conditioned problem with high dimensionality both by input and by output. One of the approaches free of many shortcomings inherent for traditional methods of IP solving, is the use of artificial neural networks (NN). In this study, it has been suggested to use an integration of geophysical methods to improve the quality of the solution obtained by NN. The considered model combines three geophysical methods: gravimetry, magnetometry, and magnetotellurics. The problem considered is that of determining the structural boundaries separating the geological layers with constant values of the parameters: density in gravimetry, magnetization in magnetometry, electrical resistivity in magnetotellurics. In this study, a four-layer 2D model was considered. It is demonstrated that integration of geophysical methods provides significantly better results that use of each of the methods separately. It is also shown that in some cases it is also possible to improve the quality of the IP solution using multitask learning—simultaneous determination of the positions of two or all three layer boundaries.
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References
Manoj, C., Nagarajan, N.: The application of artificial neural networks to magnetotelluric time-series analysis. Geophys. J. Int. 153(2), 409–423 (2003)
Wu, X., Xue, G., Xiao, P., Li, J., Liu, L., Fang, G.: The removal of the high-frequency motion-induced noise in helicopter-borne transient electromagnetic data based on wavelet neural network. Geophysics 84(1), K1–K9 (2019)
Yuan, S., Wang, S., Tian, N.: Swarm intelligence optimization and its application in geophysical data inversion. Appl. Geophys. 6(2), 166–174 (2009)
Roux, E., Moorkamp, M., Jones, A.G., Bischoff, M., Endrun, B., Lebedev, S., Meier, T.: Joint inversion of long-period magnetotelluric data and surface-wave dispersion curves for anisotropic structure: application to data from Central Germany. Geophys. Res. Lett. 38(5), L05304 (2011)
Akca, İ., Günther, T., Müller-Petke, M., Başokur, A.T., Yaramanci, U.: Joint parameter estimation from magnetic resonance and vertical electric soundings using a multi-objective genetic algorithm. Geophys. Prospect. 62(2), 364–376 (2014)
Conway, D., Alexander, B., King, M., Heinson, G., Kee, Y.: Inverting magnetotelluric responses in a three-dimensional earth using fast forward approximations based on artificial neural networks. Comput. Geosci. 127, 44–52 (2019)
Al-Garni, M.A.: Inversion of residual gravity anomalies using neural network. Arab. J. Geosci. 6(5), 1509–1516 (2013)
Al-Garni, M.A.: Interpretation of some magnetic bodies using neural networks inversion. Arab. J. Geosci. 2(2), 175–184 (2009)
Dolenko, S., Isaev, I., Obornev, E., Persiantsev, I., Shimelevich, M.: Study of influence of parameter grouping on the error of neural network solution of the inverse problem of electrical prospecting. In: Iliadis, L., Papadopoulos, H., Jayne, C. (eds.) Engineering Applications of Neural Networks. EANN 2013. Communications in Computer and Information Science, vol. 383, pp 81–90. Springer, Berlin, Heidelberg (2013)
Isaev, I., Obornev, E., Obornev, I., Shimelevich, M., Dolenko, S.: Increase of the resistance to noise in data for neural network solution of the inverse problem of magnetotellurics with group determination of parameters. In: Villa, A., Masulli, P., Pons Rivero, A. (eds.) Artificial Neural Networks and Machine Learning—ICANN 2016. ICANN 2016. Lecture Notes in Computer Science, vol. 9886, pp. 502–509. Springer, Cham (2016)
Isaev, I., Dolenko, S.: Adding noise during training as a method to increase resilience of neural network solution of inverse problems: test on the data of magnetotelluric sounding problem. In: Kryzhanovsky, B., Dunin-Barkowski, W., Redko, V. (eds.) Advances in Neural Computation, Machine Learning, and Cognitive Research. NEUROINFORMATICS 2017. Studies in Computational Intelligence, vol. 736, pp. 9–16. Springer, Cham (2018)
Spichak, V., Popova, I.: Artificial neural network inversion of magnetotelluric data in terms of three-dimensional earth macroparameters. Geophys. J. Int. 142(1), 15–26 (2000)
Spichak, V., Fukuoka, K., Kobayashi, T., Mogi, T., Popova, I., Shima, H.: ANN reconstruction of geoelectrical parameters of the Minou fault zone by scalar CSAMT data. J. Appl. Geophys. 49(1–2), 75–90 (2002)
Montahaei, M., Oskooi, B.: Magnetotelluric inversion for azimuthally anisotropic resistivities employing artificial neural networks. Acta Geophys. 62(1), 12–43 (2014)
Isaev, I., Obornev, E., Obornev, I., Rodionov, E., Shimelevich, M., Shirokiy, V., Dolenko, S.: Using domain knowledge for feature selection in neural network solution of the inverse problem of magnetotelluric sounding. In: Samsonovich, A.V., Gudwin, R.R., Simões, A.S. (eds.) Brain-Inspired Cognitive Architectures for Artificial Intelligence: BICA*AI 2020. BICA 2020. Advances in Intelligent Systems and Computing, vol. 1310, pp. 115–126. Springer, Cham (2021)
Obornev, E., Obornev, I., Rodionov, E., Shimelevich, M.: Application of neural networks in nonlinear inverse problems of geophysics. Comput. Math. Math. Phys. 60(6), 1025–1036 (2020)
Isaev, I., Obornev, E., Obornev, I., Shimelevich, M., Dolenko, S.: Neural network recognition of the type of parameterization scheme for magnetotelluric data. In: Kryzhanovsky, B., Dunin-Barkowski, W., Redko, V., Tiumentsev, Y. (eds.) Advances in Neural Computation, Machine Learning, and Cognitive Research II. NEUROINFORMATICS 2018. Studies in Computational Intelligence, vol. 799, pp. 176–183. Springer, Cham (2019)
Caruana, R.: Multitask learning. Mach. Learn. 28(1), 41–75 (1997)
Evgeniou, T., Pontil, M.: Regularized multi-task learning. In Proceedings of the Tenth ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 109–117 (2004)
Girshick, R.: Fast r-cnn. In: Proceedings of the IEEE International Conference on Computer Vision, pp. 1440–1448 (2015)
Collobert, R., Weston, J.: A unified architecture for natural language processing: deep neural networks with multitask learning. In: Proceedings of the 25th International Conference on Machine learning, pp. 160–167 (2008)
Huang, W., Song, G., Hong, H., Xie, K.: Deep architecture for traffic flow prediction: deep belief networks with multitask learning. IEEE Trans. Intell. Transp. Syst. 15(5), 2191–2201 (2014)
Acknowledgements
This study has been performed at the expense of the grant of the Russian Science Foundation (project no. 19-11-00333).
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Isaev, I., Obornev, I., Obornev, E., Rodionov, E., Shimelevich, M., Dolenko, S. (2022). Integration of Geophysical Methods for Solving Inverse Problems of Exploration Geophysics Using Artificial Neural Networks. In: Kosterov, A., Bobrov, N., Gordeev, E., Kulakov, E., Lyskova, E., Mironova, I. (eds) Problems of Geocosmos–2020. Springer Proceedings in Earth and Environmental Sciences. Springer, Cham. https://doi.org/10.1007/978-3-030-91467-7_7
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