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Pareto Joint Inversion of 2D Magnetotelluric and Gravity Data – Towards Practical Applications

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, a Pareto inversion based global optimization approach, to obtain results of joint inversion of two types of geophysical data sets, is formulated. 2D magnetotelluric and gravity data were used for tests, but presented solution is flexible enough to be used for combination of any kind of two or more target functions, as long as misfits can be calculated and forward problems solved. To minimize dimensionality of the solution, space and introduce straightforward regularization Sharp Boundary Interface (SBI) method was applied. As a main optimization engine, Particle Swarm Optimization (PSO) was used. Synthetic examples based on a real geological model were used to test proposed approach and show its usefulness in practical applications.
Czasopismo
Rocznik
Strony
1655--1672
Opis fizyczny
Bibliogr. 22 poz.
Twórcy
autor
  • Department of Geoinformatics and Applied Computer Science, AGH – University of Science and Technology, Kraków, Poland
  • Geopartner Ltd., Kraków, Poland
autor
  • Department of Geoinformatics and Applied Computer Science, AGH – University of Science and Technology, Kraków, Poland
  • Geopartner Ltd., Kraków, Poland
autor
  • Department of Geoinformatics and Applied Computer Science, AGH – University of Science and Technology, Kraków, Poland
  • Geopartner Ltd., Kraków, Poland
autor
  • Department of Geoinformatics and Applied Computer Science, AGH – University of Science and Technology, Kraków, Poland
autor
  • Geopartner Ltd., Kraków, Poland
Bibliografia
  • Abdelzaher, M., J. Nishijima, G. El-Quady, E. Aboud, O. Masoud, M. Soliman, and S. Ehara (2011), Gravity and magnetotelluric investigations to elicit the origin of Hammam Faraun hot spring, Sinai Peninsula, Egypt, Acta Geophys. 59, 3, 633-656, DOI: 10.2478/s11600-011-0006-4.
  • Blakely, R. (1996), Potential Theory in Gravity and Magnetic Applications, Cambridge University Press, Cambridge.
  • Chen, J., G.M. Hoversten, K. Key, G. Nordquist, and W. Cumming (2012), Stochastic inversion of magnetotelluric data using a sharp boundary parameterization and application to a geothermal site, Geophysics 77, 4, E265-E279, DOI: 10.1190/geo2011-0430.1.
  • Danek, T., M. Kochetov, and M. Slawinski (2013), Uncertainty analysis of effective elasticity tensors using quaternion-based global optimization and MonteCarlo method, Quart. J. Mech. Appl. Math. 66, 2, 253-272, DOI: 10.1093/qjmam/hbt004.
  • DeStefano, M. and D. Colombo (2006), Geophysical modeling through simultaneous joint inversion of seismic, gravity and magnetotelluric data. In: SEG International Exhibition and 76th Annual Meeting, Workshop on Integration of Seismic and Electromagnetic Measurements.
  • Fernandez Martinez, J., E. Gonzalo, J. Alvarez, H. Kuzma, and C. Menendez Perez (2010), PSO: A powerful algorithm to solve geophysical inverse problems: Application to a 1D-DC resistivity case, J. Appl. Geophys. 71, 1, 13-25, DOI: 10.1016/j.jappgeo.2010.02.001.
  • Gauss, C. (1809), Theoria Motus Corporum Coelestium in Sectionibus Conicis Solem Ambientium, Kunst und Industrie Comptoir.
  • Jegen, M.D., R.W. Hobbs, P. Tarits, and A. Chave (2009), Joint inversion of marine magnetotelluric and gravity data incorporating seismic constraints: Preliminary results of sub-basalt imaging off the Faroe Shelf, Earth Planet. Sci. Lett. 282, 1-4, 47-55, DOI: 10.1016/j.epsl.2009.02.018.
  • Kennedy, J., and R. Eberhart (1995), Particle swarm optimization. In: Proc. IEEE International Conference on Neural Networks, Vol. 4, 1942-1948.
  • Kozlovskaya, E., L. Vecsey, J. Plomerova, and T. Raita (2007), Joint inversion of multiple data types with the use of multiobjective optimization: problem formulation and application to the seismic anisotropy investigations, Geophys. J. Int. 171, 2, 761-779, DOI: 10.1111/j.1365-246X.2007.03540.x.
  • Kung, H., F. Luccio, and F. Preparata (1975), On finding the maxima of a set of vectors, J. ACM 22, 4, 469-476.
  • Legendre, A. (1805), Nouvelles Methodes pour la Determination des Orbites des Cometes, Didot Libr., Paris, 80 pp.
  • Liberti, L., and N. Maculan (eds.) (2006), Global Optimization: From Theory to Implementation, Springer Science and Business Media, New York.
  • Lines, L., A. Schultz, and S. Treitel (1988), Cooperative inversion of geophysical data, Geophysics 53, 1, 8-20, DOI: 10.1190/1.1442403.
  • Mehanee, S., and M. Zhdanov (2002), Two-dimensional magnetotelluric inversion of blocky geoelectrical structures, J. Geophys. Res. 107, B4, 2156-2202, DOI: 10.1029/2001JB000191.
  • Poli, R., J. Kennedy, and T. Blackwell (2007), Particle swarm optimization. An overview, Swarm Intell. 1, 1, 33-57, DOI: 10.1007/s11721-007-0002-0.
  • Sen, M., and P. Stoffa (1995), Global Optimization Methods in Geophysical Inversion, Elsevier, Amsterdam.
  • Smith, T., M. Hoversten, E. Gasperikova, and F. Morrison (1999), Sharp boundary inversion of 2D magnetotelluric data, Geophys. Prospect. 47, 4, 469-486, DOI: 10.1046/j.1365-2478.1999.00145.x.
  • Tikhonov, A. (1963), Regularization of incorrectly posed problems, Dokl. Akad. Nauk SSSR 4, 1624-1627.
  • Vozoff, K., and D. Jupp (1975), Joint inversion of geophysical data, Geophys. J. Int. 42, 3, 977-991, DOI: 10.1111/j.1365-246X.1975.tb06462.x.
  • Wannamaker, P., J. Stodt, and L. Rijo (1987), A stable finite element solution for twodimensional magnetotelluric modelling, Geophys. J. Int. 88, 1, 277-296, DOI: 10.1111/j.1365-246X.1987.tb01380.x.
  • Zhdanov, M. (2002), Geophysical Inverse Theory and Regularization Problems, Elsevier, Amsterdam.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-28678e5e-e0fb-49a2-aca1-b5aad2013335
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