Articles | Volume 33, issue 2
https://doi.org/10.5194/npg-33-267-2026
© Author(s) 2026. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/npg-33-267-2026
© Author(s) 2026. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Structural joint modeling of magnetotelluric data and Rayleigh wave dispersion curves using Pareto-based particle swarm optimization: an example to delineate the crustal structure of the southeastern part of the Biga Peninsula in western Anatolia
Department of Geophysical Engineering, Gümüşhane University, 29100 Gümüşhane, Türkiye
TÜBİTAK Marmara Research Center, Earth Sciences Research Group, 41470 Kocaeli, Türkiye
Ekrem Zor
TÜBİTAK Marmara Research Center, Earth Sciences Research Group, 41470 Kocaeli, Türkiye
Mustafa Cengiz Tapırdamaz
TÜBİTAK Marmara Research Center, Earth Sciences Research Group, 41470 Kocaeli, Türkiye
Cited articles
Afonso, J. C., Fullea, J., Griffin, W. L., Yang, Y., Jones, A. G., Connolly, J. A. D., and Reilly, S. Y. O.: 3-D multiobservable probabilistic inversion for the compositional andthermal structure of the lithosphere and upper mantle. I: A priori petrological information and geophysical observables, J. Geophys. Res.-Solid, 118, 2586–2617, https://doi.org/10.1002/jgrb.50124, 2013.
Ajithabh, K. S. and Patro, P. K.: SigMT: An open-source Python package for magnetotelluric data processing, Comput. Geosci., 171, 105270, https://doi.org/10.1016/J.CAGEO.2022.105270, 2023.
Akca, I., Günther, T., Müller-Petke, M., Başokur, A. T., and Yaramanci, U.: Joint parameter estimation from magnetic resonance and vertical electric soundings using a multi-objective genetic algorithm, Geophys. Prospect., 62, 364–376, https://doi.org/10.1111/1365-2478.12082, 2014.
Akıllı, H., Kayadibi, Ö., Mutlu, H., Gürboğa, Ş., Karadağlar, M., Arıkan, S., and Tan, S.: Geochemical and isotopic constraints on thermal waters around the Gulf of Edremit, western Türkiye, Geothermics, 127, 103257, https://doi.org/10.1016/j.geothermics.2025.103257, 2025.
Aldanmaz, E., Pearce, J. A., Thirlwall, M. F., and Mitchell, J. G.: Petrogenetic evolution of late Cenozoic, post-collision volcanism in western Anatolia, Turkey, J. Volcanol. Geoth. Res., 102, 67–95, https://doi.org/10.1016/S0377-0273(00)00182-7, 2000.
Altıner, D., Koçyiğit, A., Farinacci, A., Nicosia, U., and Conti, M. A.: Jurassic, Lower Cretaceous stratigraphy and paleogeographic evolution of the southern part of north-western Anatolia, Geologica Romana, 13–80, 1991.
Altunkaynak, Ş. and Genç, C.: Petrogenesis and time-progressive evolution of the Cenozoic continental volcanism in the Biga Peninsula, NW Anatolia (Turkey), Lithos, 102, 316–340, https://doi.org/10.1016/j.lithos.2007.06.003, 2008.
Altunkaynak, Ş., Dilek, Y., Genç, C. Ş., Sunal, G., Gertisser, R., Furnes, H., Foland, K. A., and Yang, J.: Spatial, temporal and geochemical evolution of Oligo-Miocene granitoid magmatism in western Anatolia, Turkey, Gondwana Res., 21, 961–986, https://doi.org/10.1016/j.gr.2011.10.010, 2012.
Amato, F., Pace, F., Vergnano, A., and Comina, C.: TDEM prospections for inland groundwater exploration in semiarid climate, Island of Fogo, Cape Verde, J. Appl. Geophys., 184, 104242, https://doi.org/10.1016/j.jappgeo.2020.104242, 2021.
Aquino, M., Marquis, G., and Vergne, J.: Joint one-dimensional inversion of magnetotelluric data and surface-wave dispersion curves using correspondence maps, Geophys. Prospect., 70, 1455–1470, https://doi.org/10.1111/1365-2478.13239, 2022.
Aslan, Z., Erdem, D., Temizel, İ., and Arslan, M.: SHRIMP U–Pb zircon ages and whole-rock geochemistry for the Şapçı volcanic rocks, Biga Peninsula, Northwest Turkey: implications for pre-eruption crystallization conditions and source characteristics, Int. Geol. Rev., 59, 1764–1785, https://doi.org/10.1080/00206814.2017.1295282, 2017.
Bard, P.-Y.: SESAME: Site EffectS assessments using AMbient Excitations (SESAME), Project No. EVG1-CT-2000-00026, Final Report, 1 May 2001–31 October 2004, https://sesame.geopsy.org/Delivrables/SESAME-Finalreport_april05.pdf (last access: 27 May 2026), 2000.
Baumgartner, U., Magele, C., and Renhart, W.: Pareto optimality and particle swarm optimization, IEEE Trans. Magnet., 40, 1172–1175, https://doi.org/10.1109/TMAG.2004.825430, 2004.
Beccaletto, L.: Geology, correlations, and geodynamic evolution of the Biga Peninsula (NW Turkey), PhD dissertation, University of Lausanne, Switzerland, https://theses.hal.science/tel-00011751/file/These_Beccaletto.pdf (last access: 27 May 2026), 2003.
Bedrosian, P. A., Maercklin, N., Weckmann, U., Bartov, Y., Ryberg, T., and Ritter, O.: Lithology-derived structure classification from the joint interpretation of magnetotelluric and seismic models, Geophys. J. Int., 170, 737–748, https://doi.org/10.1111/j.1365-246X.2007.03440.x, 2007.
Berdichevsky, M. N., Vanyan, L. L., and Dmitriev, V. I.: Methods used in the U.S.S.R. to reduce near-surface inhomogeneity effects on deep magnetotelluric sounding, Phys. Earth Planet. Inter., 53, 194–206, https://doi.org/10.1016/0031-9201(89)90003-4, 1989.
Berteussen, K. A.: Moho depth determinations based on spectral-ratio analysis of NORSAR long-period P waves, Phys. Earth Planet. Inter., 15, 13–27, https://doi.org/10.1016/0031-9201(77)90006-1, 1977.
Bijani, R., Lelièvre, P. G., Ponte-Neto, C. F., and Farquharson, C. G.: Physical-property-, lithology- And surface-geometry-based joint inversion using Pareto Multi-Objective Global Optimization, Geophys. J. Int., 209, 730–748, https://doi.org/10.1093/gji/ggx046, 2017.
Brazauskas, V. and Serfling, R.: Robust and Efficient Estimation of the Tail Index of a Single-Parameter Pareto Distribution, N. Am. Actuar. J., 4, 12–27, https://doi.org/10.1080/10920277.2000.10595935, 2000.
Buttkus, B.: Spectral Analysis and Filter Theory in Applied Geophysics, in: 1st Edn., XV, Springer, Berlin, Heidelberg, 667 pp., https://doi.org/10.1007/978-3-642-57016-2, 2000.
Büyük, E.: Pareto-Based Multiobjective Particle Swarm Optimization: Examples in Geophysical Modeling, in: Optimisation Algorithms and Swarm Intelligence, Ch. 7, edited by: Vakhania, N. and Aydin, M. E., IntechOpen, Rijeka, https://doi.org/10.5772/intechopen.97067, 2021.
Büyük, E.: A new method of smoothness-constrained magnetotelluric modelling with the utility of Pareto-optimal multi-objective particle swarm optimization, Geophys. Prospect., 82, 1985–2004, https://doi.org/10.1111/1365-2478.13485, 2024.
Büyük, E.: Data and MATLAB Codes for Pareto–MOPSO-Based Joint Modeling of Magnetotelluric and Rayleigh Wave Dispersion Data [Data set], Zenodo [code and data set], https://doi.org/10.5281/zenodo.20054443, 2026.
Büyük, E. and Karaman, A.: Caprock integrity at Çanakkale-Tuzla hydrothermal system inferred from magnetotelluric modeling using particle swarm optimization, Geophysics, 89, 119–129, https://doi.org/10.1190/GEO2023-0192.1, 2024.
Buyuk, E., Zor, E., and Karaman, A.: Rayleigh wave dispersion curve inversion by using particle swarm optimization and genetic algorithm, Geophysical Research Abstracts, 19, EGU2017-6911-1, EGU General Assembly 2017, Vienna, Austria, 22–29 April 2017, https://meetingorganizer.copernicus.org/EGU2017/EGU2017-6911-1.pdf (last access: 27 May 2026) 2017.
Büyük, E., Zor, E., and Karaman, A.: Joint modeling of rayleigh wave dispersion and H/V spectral ratio using pareto-based multiobjective particle swarm optimization, Turk. J. Earth Sci., 29, 684–695, https://doi.org/10.3906/yer-2001-15, 2020.
Cagniard, L.: Basic Theory of the Magnetotelluric Method of Geophysical Prospecting, Geophysics, 18, 605–635, https://doi.org/10.1190/1.1437915, 1953.
Carcione, J. M., Ursin, B., and Nordskag, J. I.: Cross-property relations between electrical conductivity and the seismic velocity of rocks, Geophysics, 72, https://doi.org/10.1190/1.2762224, 2007.
Čečys, A. and Benn, K.: Emplacement and deformation of the ca. 1.45 Ga Karlshamn granitoid pluton, southeastern Sweden, during ENE–WSW Danopolonian shortening, Int. J. Earth Sci., 96, 397–414, https://doi.org/10.1007/S00531-006-0114-6, 2007.
Chave, A. D. and Jones, A. G.: The Magnetotelluric Method Theory and Practice, CUP – Cambridge University Press, New York, 1–584, https://doi.org/10.1017/CBO9781139020138, 2012.
Chen, J., Hoversten, G. M., Key, K., Nordquist, G., and Cumming, W.: Stochastic inversion of magnetotelluric data using a sharp boundary parameterization and application to a geothermal site, Geophysics, 77, E265–E279, https://doi.org/10.1190/geo2011-0430.1, 2012.
Clerc, M. and Kennedy, J.: The particle swarm-explosion, stability, and convergence in a multidimensional complex space, IEEE T. Evol. Comput., 6, 58–73, https://doi.org/10.1109/4235.985692, 2002.
Coello, C. a C., Pulido, G. T., and Lechuga, M. S.: Handling multiple objectives with particle swarm optimization, Evolutionary Computation, IEEE T. Evol. Comput., 8, 256–279, https://doi.org/10.1109/TEVC.2004.826067, 2004.
Coello Coello, C. A., Pulido, G. T., and Lechuga, M. S.: Handling multiple objectives with particle swarm optimization, IEEE T. Evol. Comput., 8, 256–279, https://doi.org/10.1109/TEVC.2004.826067, 2004.
Constable, S. C., Parker, R. L., and Constable, C. G.: Occam's inversion: A practical algorithm for generating smooth models from electromagnetic sounding data, Geophysics, 52, 267–462, 1987.
Coxeter, H. S. M.: Regular polytopes, in: 3rd Edn., Dover Publications, 321 pp., ISBN 9780486614809, 1973.
Dal Moro, G.: Insights on surface wave dispersion and HVSR: Joint analysis via Pareto optimality, J. Appl. Geophys., 72, 129–140, https://doi.org/10.1016/j.jappgeo.2010.08.004, 2010.
Deb, K. and Padhye, N.: Improving a particle swarm optimization algorithm using an evolutionary algorithm framework, KanGAL Report No. 2010003, Kanpur Genetic Algorithms Laboratory, Indian Institute of Technology Kanpur, Kanpur, India, https://www.coin-lab.org/content/publications.html (last access: 27 May 2026), 2010.
Degroot-Hedlin, C. and Constable, S.: Occam's inversion to generate smooth, two-dimensional models from magnetotelluric data, Geophysics, 55, 1613–1624, https://doi.org/10.1190/1.1442813, 1990.
Dell'Aversana, P., Bernasconi, G., and Chiappa, F.: A Global Integration Platform for Optimizing Cooperative Modeling and Simultaneous Joint Inversion of Multi-domain Geophysical Data, AIMS Geosci., 2, 1–31, https://doi.org/10.3934/geosciences.2016.1.1, 2016.
Dewey, J. F. and Şengör, A. M. C.: Aegean and surrounding regions: Complex multiplate and continuum tectonics in a convergent zone, Bull. Geol. Soc. Am., 90, 84–92, https://doi.org/10.1130/0016-7606(1979)90<84:AASRCM>2.0.CO;2, 1979.
Dorman, J. and Ewing, M.: Numerical inversion of seismic surface wave dispersion data and crust-mantle structure in the New York-Pennsylvania area, J. Geophys. Res., 67, 5227–5241, https://doi.org/10.1029/JZ067I013P05227, 1962.
Ekinci, Y. L. and Yiğitbaş, E.: A geophysical approach to the igneous rocks in the Biga Peninsula (NW Turkey) based on airborne magnetic anomalies: geological implications, Geodinam. Acta, 25, 1–19, https://doi.org/10.1080/09853111.2013.858945, 2013.
Elston, S. F.: Robust statistics and regularization in geophysical inverse theory, Princeton University, 1–184, 1992.
Engelbrecht, A. P.: Computational Intelligence: An Introduction: Second Edition, John Wiley and Sons, 1–597, https://doi.org/10.1002/9780470512517, 2007.
Essa, K. S. and Elhussein, M.: PSO (Particle Swarm Optimization) for Interpretation of Magnetic Anomalies Caused by Simple Geometrical Structures, Pure Appl. Geophys., 175, 3539–3553, https://doi.org/10.1007/s00024-018-1867-0, 2018.
Essa, K. S., Mehanee, S. A., and Elhussein, M.: Gravity data interpretation by a two-sided fault-like geologic structure using the global particle swarm technique, Phys. Earth Planet. Inter., 311, 106631, https://doi.org/10.1016/j.pepi.2020.106631, 2021.
Fan, H. and Shi, Y.: Study on Vmax of particle swarm optimization, in: Proceedings of the Workshop on Particle Swarm Optimization, Indianapolis, Purdue School of Engineering and Technology, IUPUI, April 2001
Fathy, M., Kazemzadeh Haghighi, F., and Ahmadi, M.: Uncertainty quantification of reservoir performance using machine learning algorithms and structured expert judgment, Energy, 288, 129906, https://doi.org/10.1016/j.energy.2023.129906, 2024.
Fern, J. L. and Garc, E.: Appraising the Streaming-Potential Inverse Problem, Geophysics, 75, https://doi.org/10.1190/1.3460842, 2010.
Fernández Martínez, J. L., García Gonzalo, E., Fernández Álvarez, J. P., Kuzma, H. A., and Menéndez Pérez, C. O.: PSO: A powerful algorithm to solve geophysical inverse problems: Application to a 1D-DC resistivity case, J. Appl. Geophys., 71, 13–25, https://doi.org/10.1016/J.JAPPGEO.2010.02.001, 2010.
Foti, S., Comina, C., Boiero, D., and Socco, L. V.: Non-uniqueness in surface-wave inversion and consequences on seismic site response analyses, Soil Dynam. Earthq. Eng., 29, 982–993, https://doi.org/10.1016/j.soildyn.2008.11.004, 2009.
Foti, S., Hollender, F., Garofalo, F., Albarello, D., Asten, M., Bard, P. Y., Comina, C., Cornou, C., Cox, B., Di Giulio, G., Forbriger, T., Hayashi, K., Lunedei, E., Martin, A., Mercerat, D., Ohrnberger, M., Poggi, V., Renalier, F., Sicilia, D., and Socco, V.: Guidelines for the good practice of surface wave analysis: a product of the InterPACIFIC project, Bull. Earthq. Eng., 16, 2367–2420, https://doi.org/10.1007/s10518-017-0206-7, 2017.
Fytikas, M., Giuliani, O., Innocenti, F., Marinelli, G., and Mazzuoli, R.: Geochronological data on recent magmatism of the Aegean Sea, Tectonophysics, 31, T29–T34, https://doi.org/10.1016/0040-1951(76)90161-X, 1976.
Gallardo, L. A.: Joint two-dimensional DC resistivity and seismic travel time inversion with cross-gradients constraints, J. Geophys. Res., 109, B03311, https://doi.org/10.1029/2003jb002716, 2004.
Gallardo, L. A. and Meju, M. A.: Characterization of heterogeneous near-surface materials by joint 2D inversion of dc resistivity and seismic data, Geophys. Res. Lett., 30, https://doi.org/10.1029/2003GL017370, 2003.
Gao, G., Abubakar, A., and Habashy, T. M.: Joint petrophysical inversion of electromagnetic and full-waveform seismic data, Geophysics, 77, https://doi.org/10.1190/geo2011-0157.1, 2012.
Gao, G., Lu, H., Wang, K., Jost, S., Shaikh, S., Vink, J., Blom, C., Wells, T., and Saaf, F.: A Practical Approach to Select Representative Deterministic Models Using Multiobjective Optimization from an Integrated Uncertainty Quantification Workflow, SPE J., 28, 2186–2206, https://doi.org/10.2118/212242-PA, 2023.
Garcia, K. and Diaz, D.: Three-dimensional geo-electrical structure in Juncalito geothermal prospect, northern Chile, Geothermics, 64, 527–537, https://doi.org/10.1016/j.geothermics.2016.08.001, 2016.
Garcia, X., Seillé, H., Elsenbeck, J., Evans, R. L., Jegen, M., Hölz, S., Ledo, J., Lovatini, A., Marti, A., Marcuello, A., Queralt, P., Ungarelli, C., and Ranero, C. R.: Structure of the mantle beneath the Alboran Basin from magnetotelluric soundings, Geochem. Geophy. Geosy. 16, 4261–4274, https://doi.org/10.1002/2015GC006100, 2015.
Gill, M. K., Kaheil, Y. H., Khalil, A., McKee, M., and Bastidas, L.: Multiobjective particle swarm optimization for parameter estimation in hydrology, Water Resour. Res., 42, 1–14, https://doi.org/10.1029/2005WR004528, 2006.
Godio, A. and Santilano, A.: On the optimization of electromagnetic geophysical data: Application of the PSO algorithm, J. Appl. Geophys., 148, 163–174, https://doi.org/10.1016/j.jappgeo.2017.11.016, 2018.
Goldberg, D. E. and Holland, J. H.: Genetic Algorithms and Machine Learning, Mach. Learn., 3, 95–99, https://doi.org/10.1023/A:1022602019183, 1988.
Grandis, H. and Maulana, Y.: Particle Swarm Optimization (PSO) for Magnetotelluric (MT) 1D Inversion Modeling, IOP Conf. Ser. Earth Environ. Sci., 62, https://doi.org/10.1088/1755-1315/62/1/012033, 2017.
Gupta, R. K., Agrawal, M., and Pulliam, J.: Joint Modelling and Uncertainty Estimation for Site Characterization of Dhanbad City (India) Using Global Optimization, Pure Appl. Geophys., 180, 3947–3969, https://doi.org/10.1007/S00024-023-03358-Z 2023.
Gürer, Ö. F., Sanğu, E., Gürer, A., and Akın, M.: Late Cenozoic shift from extension to strike-slip stress regime in the west of the Biga Peninsula, NW Turkey, J. Struct. Geol., 148, https://doi.org/10.1016/j.jsg.2021.104348, 2021.
Haber, E. and Oldenburg, D.: Joint inversion: A structural approach, Inverse Probl., 13, 63–77, https://doi.org/10.1088/0266-5611/13/1/006, 1997.
Heise, W., Caldwell, T. G., Bibby, H. M., and Bannister, S. C.: Three-dimensional modelling of magnetotelluric data from the Rotokawa geothermal field, Taupo Volcanic Zone, New Zealand, Geophys. J. Int., 173, 740–750, https://doi.org/10.1111/j.1365-246X.2008.03737.x, 2008.
Herrmann, R. B.: Computer Programs in Seismology: An Overview of Synthetic Seismogram Computation, Version 3.30, Saint Louis University, USA, https://www.eas.slu.edu/eqc/ComputerProgramsSeismology/CPS/CPS330/cps330o.pdf (last access: 1 June 2026), 2002.
Hill, G. J., Caldwell, T. G., Heise, W., Chertkoff, D. G., Bibby, H. M., Burgess, M. K., Cull, J. P., and Cas, R. A. F.: Distribution of melt beneath Mount St Helens and Mount Adams inferred from magnetotelluric data, Nat. Geosci., 2, 785–789, https://doi.org/10.1038/ngeo661, 2009.
Hu, B., Wen, L., and Zhou, X.: Joint inversion of VES and Rayleigh wave data based on improved DE algorithm for near surface exploration, World J. Eng., 21, 242–253, https://doi.org/10.1108/WJE-05-2022-0193, 2024.
Kaçar, B., Özden, S., and Ateş, Ö.: Güre (Balıkesir) Jeotermal Alanının Jeolojisi, Hidrojeokimyasıve Aktif Tektonikle İlişkisi, Türkiye Jeoloji Bülteni, 60, 243–258, https://doi.org/10.25288/tjb.302968, 2017.
Kang, S., Heagy, L. J., Cockett, R., and Oldenburg, D. W.: Exploring nonlinear inversions: A 1D magnetotelluric example, Lead. Edge, 36, 696–699, https://doi.org/10.1190/tle36080696.1, 2017.
Karacık, Z. and Yılmaz, Y.: Geology of the Ignimbrites and the associated volcano-plutonic complex of The Ezine, J. Volcanol. Geoth. Res., 85, 251–264, 1998.
Kennedy, J. and Eberhart, R.: Particle swarm optimization, Neural Networks, 1995, in: Proceedings of ICNN'95 – International Conference on Neural Networks, vol. 4, 1942–1948, https://doi.org/10.1109/ICNN.1995.488968, 1995.
Kennedy, J. and Spears, W. M.: Matching algorithms to problems: An experimental test of the particle swarm and some genetic algorithms on the multimodal problem generator, in: Proceedings of the ICEC – IEEE Conference on Evolutionary Computation, 78–83, https://doi.org/10.1109/icec.1998.699326, 1998.
Kirkpatrick, S., Gelatt, C. D., and Vecchi, M. P.: Optimization by Simulated Annealing, Science, 220, 671–680, 1983.
Komori, S., Kagiyama, T., Takakura, S., Ohsawa, S., Mimura, M., and Mogi, T.: Effect of the hydrothermal alteration on the surface conductivity of rock matrix: Comparative study between relatively-high and low temperature hydrothermal systems, J. Volcanol. Geoth. Res., 264, 164–171, https://doi.org/10.1016/j.jvolgeores.2013.08.009, 2013.
Kozlovskaya, E., Vecsey, L., Plomerova, J., and Raita, T.: 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, 761–779, https://doi.org/10.1111/j.1365-246X.2007.03540.x, 2007.
Kumar, V. and Minz, S.: Multi-Objective Particle Swarm Optimization: An Introduction, Smart Comput. Rev., 4, 335–353, https://doi.org/10.6029/smartcr.2014.05.001, 2014.
Lelièvre, P. G., Farquharson, C. G., and Hurich, C. A.: Joint inversion of seismic traveltimes and gravity data on unstructured grids with application to mineral exploration, Geophysics, 77, K1–K15, https://doi.org/10.1190/geo2011-0154.1, 2012.
Li, G., Cai, H., and Li, C. F.: Alternating Joint Inversion of Controlled-Source Electromagnetic and Seismic Data Using the Joint Total Variation Constraint, IEEE T. Geosci. Remote, 57, 5914–5922, https://doi.org/10.1109/TGRS.2019.2903043, 2019.
Linde, A. T. and Sacks, I. S.: Triggering of volcanic eruptions, Nature, 395, 888–890, 1998.
Lines, L. R., Schultz, A. K., and Treitel, S.: Cooperative inversion of geophysical data, Geophysics, 53, 8–20, https://doi.org/10.1190/1.1442403, 1988.
Liu, S., Liang, M., and Hu, X.: Particle swarm optimization inversion of magnetic data: Field examples from iron ore deposits in China, Geophysics, 83, J43–J59, https://doi.org/10.1190/geo2017-0456.1, 2018.
Manassero, M. C., Afonso, J. C., Zyserman, F., Zlotnik, S., and Fomin, I.: A reduced order approach for probabilistic inversions of 3-D magnetotelluric data I: general formulation, Geophys. J. Int., 223, 1837–1863, https://doi.org/10.1093/gji/ggaa415, 2020.
Mavko, G., Mukerji, T., and Dvorkin, J.: The Rock Physics Handbook: Tools for Seismic Analysis in Porous Media, Cambridge University Press, 208–210, ISBN 9780521620680, 1998.
McKenzie, D.: Active tectonics of the Alpine–Himalayan belt: the Aegean Sea and surrounding regions, Geophys. J. Roy. Astron. Soc., 55, 217–254, https://doi.org/10.1111/j.1365-246X.1978.tb04759.x, 1978.
McKenzie, D. and Yılmaz, Y.: Deformation and volcanism in Western Turkey and the Aegean, Bull. Tech. Univ. Istanbul, 44, 345–373, 1991.
McMechan, G. A. and Yedlin, M. J.: Analysis of dispersive by wave field transformation, Geophysics, 46, 869–874, https://doi.org/10.1190/1.1441225, 1981.
Medved, I., Bataleva, E., and Buslov, M.: Studying the Depth Structure of the Kyrgyz Tien Shan by Using the Seismic Tomography and Magnetotelluric Sounding Methods, Geosciences, 11, 122, https://doi.org/10.3390/geosciences11030122, 2021.
Meju, M. A. and Gallardo, L. A.: Structural Coupling Approaches in Integrated Geophysical Imaging, in: Integrated Imaging of the Earth: Theory and Applications, 49–67, https://doi.org/10.1002/9781118929063.ch4, 2016.
Mollaret, C., Wagner, F. M., Hilbich, C., Scapozza, C., and Hauck, C.: Petrophysical joint inversion applied to Alpine permafrost field sites to image subsurface ice, water, air, and rock contents, Front. Earth Sci., 8, 85, https://doi.org/10.3389/feart.2020.00085, 2020.
Monteiro Santos, F. A.: Inversion of self-potential of idealized bodies' anomalies using particle swarm optimization, Comput. Geosci., 36, 1185–1190, https://doi.org/10.1016/j.cageo.2010.01.011, 2010.
Moore, H. L.: Cours d'Économie Politique, By Vilfredo Pareto, Professeur à l'Université de Lausanne, in: Vol. I. Pp. 430. I896. Vol. II. Pp. 426. I897, F. Rouge, Ann. Am. Acad. Pol. Soc. Sci., 9, 128–131, https://doi.org/10.1177/000271629700900314, 1897.
Moorkamp, M., Jones, A. G., and Eaton, D. W.: Joint inversion of teleseismic receiver functions and magnetotelluric data using a genetic algorithm: Are seismic velocities and electrical conductivities compatible?, Geophys. Res. Lett., 34, 3–7, https://doi.org/10.1029/2007GL030519, 2007.
Moorkamp, M., Jones, A. G., and Fishwick, S.: Joint inversion of receiver functions, surface wave dispersion, and magnetotelluric data, J. Geophys. Res.-Solid, 115, 1–23, https://doi.org/10.1029/2009JB006369, 2010.
Moorkamp, M., Roberts, A. W., Jegen, M., Heincke, B., and Hobbs, R. W.: Verification of velocity-resistivity relationships derived from structural joint inversion with borehole data, Geophys. Res. Lett., 40, 3596–3601, https://doi.org/10.1002/grl.50696, 2013.
O'Connell, R. J. and Budiansky, B.: Seismic velocities in dry and saturated cracked solids, J. Geophys. Res., 79, 5412–5426, https://doi.org/10.1029/JB079i035p05412, 1974.
Ogaya, X., Alcalde, J., Marzán, I., Ledo, J., Queralt, P., Marcuello, A., Martí, D., Saura, E., Carbonell, R., and Benjumea, B.: Joint interpretation of magnetotelluric, seismic, and well-log data in Hontomín (Spain), Solid Earth, 7, 943–958, https://doi.org/10.5194/SE-7-943-2016, 2016.
Okay, A. I. and Satir, M.: Upper Cretaceous eclogite-facies metamorphic rocks from the Biga Peninsula, Northwest Turkey, Turk. J. Earth Sci., 9, 47–56, 2000.
Okay, A. I., Satir, M., Maluski, H., Siyako, M., Monie, P., Metzger, R., and Akyüz, S.: Paleo- and Neo-Tethyan events in northwest Turkey: geological and geochronological constraints, in: The Tectonic Evolution of Asia, edited by: Yin, A. and Harrison, T. M., Cambridge University Press, Cambridge, 420–441, ISBN 978-0-521-48049-4, 1996.
Özalaybey, S., Zor, E., Ergintav, S., and Tapirdamaz, M. C.: Investigation of 3-D basin structures in the İzmit Bay area (Turkey) by single-station microtremor and gravimetric methods, Geophys. J. Int., 186, 883–894, https://doi.org/10.1111/j.1365-246X.2011.05085.x, 2011.
Paasche, H. and Tronicke, J.: Cooperative inversion of 2D geophysical data sets: A zonal approach based on fuzzy c-means cluster analysis, Geophysics, 72, https://doi.org/10.1190/1.2670341, 2007.
Pace, F., Godio, A., Santilano, A., and Comina, C.: Joint optimization of geophysical data using multi-objective swarm intelligence, Geophys. J. Int., 218, 1502–1521, https://doi.org/10.1093/gji/ggz243, 2019a.
Pace, F., Santilano, A., and Godio, A.: Particle swarm optimization of 2D magnetotelluric data, Geophysics, 84, E125–E141, https://doi.org/10.1190/geo2018-0166.1, 2019b.
Pace, F., Santilano, A., and Godio, A.: A Review of Geophysical Modeling Based on Particle Swarm Optimization, Surv. Geophys., 42, 505–549, https://doi.org/10.1007/s10712-021-09638-4, 2021.
Pace, F., Raftogianni, A., and Godio, A.: A Comparative Analysis of Three Computational-Intelligence Metaheuristic Methods for the Optimization of TDEM Data, Pure Appl. Geophys., 179, 3727–3749, https://doi.org/10.1007/s00024-022-03166-x, 2022.
Pallero, J. L. G., Fernanndez-Martinez, J. L., Bonvalot, S., and Fudym, O.: Gravity inversion and uncertainty assessment of basement relief via Particle Swarm Optimization, J. Appl. Geophys., 116, 180–191, https://doi.org/10.1016/j.jappgeo.2015.03.008, 2015.
Peksen, E., Yas, T., Kayman, A. Y., and Özkan, C.: Application of particle swarm optimization on self-potential data, J. Appl. Geophys., 75, 305–318, https://doi.org/10.1016/j.jappgeo.2011.07.013, 2011.
Peksen, E., Yas, T., and Kiyak, A.: 1-D DC Resistivity Modeling and Interpretation in Anisotropic Media Using Particle Swarm Optimization, Pure Appl. Geophys., 171, 2371–2389, https://doi.org/10.1007/s00024-014-0802-2, 2014.
Pereira, M. L., Zanon, V., Fernandes, I., Pappalardo, L., and Viveiros, F.: Hydrothermal alteration and physical and mechanical properties of rocks in a volcanic environment: A review, Earth. Sci. Rev., 252, 104754, https://doi.org/10.1016/j.earscirev.2024.104754, 2024.
Piotrowski, A. P., Napiorkowski, J. J., and Piotrowska, A. E.: Population size in Particle Swarm Optimization, Swarm Evol. Comput., 58, 100718, https://doi.org/10.1016/j.swevo.2020.100718, 2020.
Rao, S. S.: Engineering Optimization: Theory and Practice: Fourth Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA, 1–813, https://doi.org/10.1002/9780470549124, 2009.
Reyes-Sierra, M. and Coello Coello, C. A.: Multi-Objective Particle Swarm Optimizers: A Survey of the State-of-the-Art, Int. J. Comput. Intel. Res., 2, 287–308, https://doi.org/10.5019/j.ijcir.2006.68, 2006.
Romano, G., Balasco, M., Siniscalchi, A., Gueguen, E., Petrillo, Z., and Tripaldi, S.: Geological and geo-structural characterization of the Montemurro area (Southern Italy) inferred from audiomagnetotelluric survey, Geomatics, Nat. Hazards Risk, 9, 1156–1171, https://doi.org/10.1080/19475705.2018.1502210, 2018.
Roux, E., Moorkamp, M., Jones, A. G., Bischoff, M., Endrun, B., Lebedev, S., and 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, https://doi.org/10.1029/2010GL046358, 2011.
Roy, N., SankarJakka, R., and Wason, H. R.: Effect of surface wave inversion non-uniqueness on 1D seismic ground response analysis, Nat. Hazards, 68, 1141–1153, https://doi.org/10.1007/s11069-013-0677-z, 2013.
Sambridge, M.: Geophysical inversion with a neighbourhood algorithm – II. Appraising the ensemble, Geophys. J. Int., 138, 727–746, https://doi.org/10.1046/J.1365-246X.1999.00900.X, 1999.
Scherbaum, F., Hinzen, K. G., and Ohrnberger, M.: Determination of shallow shear wave velocity profiles in the cologne, Germany area using ambient vibrations, Geophys. J. Int., 152, 597–612, https://doi.org/10.1046/j.1365-246X.2003.01856.x, 2003.
Schnaidt, S., Conway, D., Krieger, L., and Heinson, G.: Pareto-Optimal Multi-objective Inversion of Geophysical Data, Pure Appl. Geophys., 175, 2221–2236, https://doi.org/10.1007/s00024-018-1784-2, 2018.
Şengün, F., Yigitbaş, E., and Tunç, I. O.: Geology and tectonic emplacement of eclogite and Blueschists, Biga Peninsula, northwest turkey, Turk. J. Earth Sci., 20, 273–285, https://doi.org/10.3906/yer-0912-75, 2011.
Seyitoğlu, G. and Scott, B. C.: Late Cenozoic crustal extension and basin formation in west Turkey, Geol. Mag., 128, 155–166, https://doi.org/10.1017/S0016756800018343, 1991.
Shaw, R. and Srivastava, S.: Particle swarm optimization: A new tool to invert geophysical data, Geophysics, 72, F75, https://doi.org/10.1190/1.2432481, 2007.
Shu, X., Liu, Y., Liu, J., Yang, M., and Zhang, Q.: Multi-objective particle swarm optimization with dynamic population size, J. Comput. Des. Eng., 10, 446–467, https://doi.org/10.1093/jcde/qwac139, 2023.
Simpson, F. and Bahr, K.: Practical Magnetotellurics, Cambridge University Press, Cambridge, ISBN 9780521817271, https://doi.org/10.1017/CBO9780511614095, 2005.
Siripunvaraporn, W., Egbert, G., Lenbury, Y., and Uyeshima, M.: Three-dimensional magnetotelluric inversion: Data-space method, Phys. Earth Planet. Inter., 150, 3–14, https://doi.org/10.1016/j.pepi.2004.08.023, 2005.
Smirnov, M. Y.: Magnetotelluric data processing with a robust statistical procedure having a high breakdown point, Geophys. J. Int., 152, 1–7, https://doi.org/10.1046/j.1365-246X.2003.01733.x, 2003.
Smith, J. T. and Booker, J. R.: Magnetotelluric inversion for minimum structure, Geophysics, 53, 1565–1576, https://doi.org/10.1190/1.1442438, 1988.
Song, X., Tang, L., Lv, X., Fang, H., and Gu, H.: Application of particle swarm optimization to interpret Rayleigh wave dispersion curves, J. Appl. Geophys., 84, 1–13, https://doi.org/10.1016/j.jappgeo.2012.05.011, 2012.
Sözbilir, H., Sümer, Ö., Özkaymak, Ç., Uzel, B., Güler, T., and Eski, S.: Kinematic analysis and palaeoseismology of the Edremit Fault Zone: evidence for past earthquakes in the southern branch of the North Anatolian Fault Zone, Biga Peninsula, NW Turkey, Geodinam. Acta, 28, 273–294, https://doi.org/10.1080/09853111.2016.1175294, 2016.
Stefano, M. De, Andreasi, F. G., Re, S., Virgilio, M., and Snyder, F. F.: Multiple-domain, simultaneous joint inversion of geophysical data with application to subsalt imaging, Geophysics, 76, https://doi.org/10.1190/1.3554652, 2011.
Steiner, M., Wagner, F. M., Maierhofer, T., Schöner, W., and Flores Orozco, A.: Improved estimation of ice and water contents in Alpine permafrost through constrained petrophysical joint inversion: The Hoher Sonnblick case study, Geophysics, 86, WB119–WB133, https://doi.org/10.1190/geo2020-0592.1, 2021.
Suman, A., Mukerji, T., and Fernández-Martínez, J. L.: Joint inversion of seismic and flow data for reservoir parameter assessment using particle swarm optimization, in: AGU Fall Meeting 2010, Eos Trans. AGU, 91, Fall Meet. Suppl., Abstract NS41B-1516, https://ui.adsabs.harvard.edu/abs/2010AGUFMNS41B1516S/abstract (last access: 27 May 2026), 2010.
Takei, Y.: Effects of Partial Melting on Seismic Velocity and Attenuation: A New Insight from Experiments, Annu. Rev. Earth Planet. Sci., 45, 447–470, https://doi.org/10.1146/annurev-earth-063016-015820, 2017.
Takougang, E. M. T., Harris, B., Kepic, A., and Le, C. V. A.: Cooperative joint inversion of 3D seismic and magnetotelluric data: With application in a mineral province, Geophysics, 80, R175–R187, https://doi.org/10.1190/geo2014-0252.1, 2015.
Taymaz, T., Jackson, J., and McKenzie, D.: Active tectonics of the north and central Aegean Sea, Geophys. J. Int., 106, 433–490, https://doi.org/10.1111/j.1365-246X.1991.tb03906.x, 1991.
Tietze, K. and Ritter, O.: Three-dimensional magnetotelluric inversion in practice – the electrical conductivity structure of the San Andreas Fault in Central California, Geophys. J. Int., 195, 130–147, https://doi.org/10.1093/GJI/GGT234, 2013.
Tronicke, J., Paasche, H., and Boniger, U.: Join global inversion of GPR and P-wave seismic traveltimes using particle swarm optimization, in: 2011 6th International Workshop on Advanced Ground Penetrating Radar, IWAGPR 2011, https://doi.org/10.1109/IWAGPR.2011.5963884, 2011.
Turunçtur, B., Eken, T., Chen, Y., Taymaz, T., Houseman, G. A., and Saygin, E.: Crustal velocity images of northwestern Türkiye along the North Anatolian Fault Zone from transdimensional Bayesian ambient seismic noise tomography, Geophys. J. Int., 234, 636–649, https://doi.org/10.1093/gji/ggad082, 2023.
Ulugergerli, E. U., Seyitoğlu, G., Başokur, A. T., Kaya, C., Dikmen, U., and Candansayar, M. E.: The geoelectrical structure of Northwestern Anatolia, Turkey, Pure Appl. Geophys., 164, 999–1026, https://doi.org/10.1007/s00024-007-0200-0, 2007.
Van Veldhuizen, D. A.: Multiobjective evolutionary algorithms: classifications, analyses, and new innovations, PhD thesis, Department of Electrical and Computer Engineering, Graduate School of Engineering, Air Force Institute of Technology, Wright-Patterson AFB, Ohio, USA, https://scholar.afit.edu/etd/5128/ (last access: 27 May 2026), 1999.
Vozoff, K.: Magnetotellurics: Principles and practice, Proc. Indian Acad. Sci. – Earth Planet. Sci., 99, 441–471, https://doi.org/10.1007/BF02840313, 1990.
Wagner, F. M. and Uhlemann, S.: An overview of multimethod imaging approaches in environmental geophysics, Adv. Geophys., 62, 1–72, https://doi.org/10.1016/bs.agph.2021.06.001, 2021.
Weaver, J. T. and Agarwal, A. K.: Automatic 1-D Inversion of Magnetotelluric Data By the Method of Modelling, Geophys. J. Int., 112, 115–123, https://doi.org/10.1111/j.1365-246X.1993.tb01441.x, 1993.
Witting, K., Ober-Blöbaum, S., and Dellnitz, M.: A variational approach to define robustness for parametric multiobjective optimization problems, J. Global Optimiz., 57, 331–345, https://doi.org/10.1007/s10898-012-9972-6, 2012.
Wu, P., Tan, H., Peng, M., Ma, H., and Wang, M.: Joint Inversion of 1-D Magnetotelluric and Surface-Wave Dispersion Data with an Improved Multi-Objective Genetic Algorithm and Application to the Data of the Longmenshan Fault Zone, Pure Appl. Geophys., 175, 3591–3604, https://doi.org/10.1007/s00024-018-1884-z, 2018.
Wu, P., Tan, H., Lin, C., Peng, M., Ma, H., and Yan, Z.: Joint inversion of two-dimensional magnetotelluric and surface wave dispersion data with cross-gradient constraints, Geophys. J. Int., 221, 938–950, https://doi.org/10.1093/GJI/GGAA045, 2020.
Wu, P., Tan, H., Ding, Z., Kong, W., Peng, M., Wang, X., and Xu, L.: Joint inversion of 3-D magnetotelluric and ambient noise dispersion data sets with cross-gradient constraints: methodology and application, Geophys. J. Int., 230, 714–732, https://doi.org/10.1093/gji/ggac049, 2022.
Xu, P.: Iterative generalized cross-validation for fusing heteroscedastic data of inverse ill-posed problems, Geophys. J. Int., 179, 182–200, https://doi.org/10.1111/j.1365-246X.2009.04280.x, 2009.
Yang, J., Li, Y. E., Wei, Y., Fu, H., and Liu, Y.: Full-waveform inversion based on gradient sampling algorithm with randomized space shift, SEG Technical Program Expanded Abstracts, 1063–1067, https://doi.org/10.1190/segam2018-2998228.1, 2018.
Yilmaz, Y.: Comparison of young volcanic associations of western and eastern Anatolia formed under a compressional regime: a review, J. Volcanol. Geoth. Res., 44, 69–87, https://doi.org/10.1016/0377-0273(90)90012-5, 1990.
Yilmaz, Y., Genç, Ş. C., Karacik, Z., and Altunkaynak, Ş.: Two contrasting magmatic associations of NW Anatolia and their tectonic significance, J. Geodyn., 31, 243–271, https://doi.org/10.1016/S0264-3707(01)00002-3, 2001.
Yuan, S., Wang, S., and Tian, N.: Swarm intelligence optimization and its application in geophysical data inversion, Appl. Geophys., 6, 166–174, https://doi.org/10.1007/s11770-009-0018-x, 2009.
Zabinyakova, O., Bataleva, E., and Medved, I.: Comparison Analysis of Longitudinal Electrical Conductivity Distribution and Seismic Tomography Velocity Models for the Central Tien Shan Region, J. Earth Sci., 34, 580–587, https://doi.org/10.1007/s12583-022-1621-5, 2023.
Short summary
We introduce a Pareto-based multi-objective particle swarm optimization framework for joint modeling of magnetotelluric and Rayleigh wave dispersion data from the southeastern Biga Peninsula. The approach uses a shared structural parameterization without enforcing a fixed petrophysical link between resistivity and velocity. The study shows that magnetotelluric data are more affected by model trade-offs, whereas Rayleigh wave dispersion is more sensitive in data space.
We introduce a Pareto-based multi-objective particle swarm optimization framework for joint...