Register      Login
Exploration Geophysics Exploration Geophysics Society
Journal of the Australian Society of Exploration Geophysicists
RESEARCH ARTICLE

MOPSO: a new computing algorithm for joint inversion of Rayleigh wave dispersion curve and refraction traveltimes

Rashed Poormirzaee
+ Author Affiliations
- Author Affiliations

Department of Mining and Material Engineering, Urmia University of Technology, Urmia 57166-17165, Iran. Email: Rashed.poormirzaee@gmail.com

Exploration Geophysics 49(2) 163-175 https://doi.org/10.1071/EG16044
Submitted: 14 April 2016  Accepted: 27 October 2016   Published: 29 November 2016

Abstract

Adequate estimation of shear-wave (VS) and P-wave (VP) velocity profiles is one of the significant objectives in the course of seismic surveys; however, the main problem in obtaining VS and VP is the non-uniqueness of surface waves and refracted seismic inversion results. Moreover, the hidden-layer problem often exists in the case of the refraction seismic method. The main purpose of this study is to cope with the above problems and reconstruct subsurface structures by joint inversion of Rayleigh wave dispersion curve and refraction traveltimes. The proposed joint inversion is based on a multi-objective particle swarm optimisation (MOPSO) strategy as a new tool for joint inversion of seismic datasets. The Pareto front concept was applied in the proposed joint inversion scheme. Using the Pareto front, the presented inversion algorithm provided a useful tool to evaluate the results (i.e. the number of layers, thicknesses or Poisson ratio values for the estimated models). The proposed algorithm was tested on two synthetic datasets and also on an experimental dataset. Furthermore, the joint inversion results were compared with the results of individual datasets inverted using PSO inversion algorithm. To verify the applicability of the proposed method, it was applied at a sample site located in Tabriz city, north-western Iran. For a real dataset, the refraction microtremor (ReMi) was used to obtain Rayleigh wave dispersion curves. Moreover, sourced from a vertical-incident seismic source (sledgehammer), seismic refraction data were recorded via vertical component geophones. The results showed that the proposed joint inversion technique can considerably reduce uncertainties of the inverted models.

Key words: joint inversion, multi-objective optimisation, PSO, surface wave dispersion curve, traveltimes.


References

Chávez-García, F. J., and Kang, T.-S., 2014, Lateral heterogeneities and microtremors: limitations of HVSR and SPAC based studies for site response: Engineering Geology, 174, 1–10
Lateral heterogeneities and microtremors: limitations of HVSR and SPAC based studies for site response:Crossref | GoogleScholarGoogle Scholar |

Coello Coello, C. A., and Lechuga, M. S., 2002, MOPSO: a proposal for multiple objective particle swarm optimization: Proceedings of the Congress on Evolutionary Computation (CEC’2002), Honolulu, HI, Vol. 1, pp. 1051–1056.

Coello Coello, C. A., Pulido, G. T., and Lechuga, M. S., 2004, Handling multiple objectives with particle swarm optimization: IEEE Transactions on Evolutionary Computation, 8, 23–38

Dal Moro, G., 2008, V S and V P vertical profiling via joint inversion of Rayleigh waves and refraction travel times by means of bi-objective evolutionary algorithm: Journal of Applied Geophysics, 66, 15–24
V S and V P vertical profiling via joint inversion of Rayleigh waves and refraction travel times by means of bi-objective evolutionary algorithm:Crossref | GoogleScholarGoogle Scholar |

Deb, K., 2001, Multi-objective optimization using evolutionary algorithms: John Wiley & Sons.

East Azerbaijan Headquarter Office of Roads and Urban Development, 2005, Seismic microzonation report of Tabriz, Vol. 6, East Azerbaijan, Tabriz, Iran.

Fernández Martínez, J. L., García Gonzalo, E., Fernández Alvarez, J. P., Kuzma, H., and Menéndez Pérez, C. O., 2010, PSO: a powerful algorithm to solve geophysical inverse problems: application to a 1D-DC resistivity case: Journal of Applied Geophysics, 71, 13–25
PSO: a powerful algorithm to solve geophysical inverse problems: application to a 1D-DC resistivity case:Crossref | GoogleScholarGoogle Scholar |

Gardner, G. F., Gardner, L. W., and Gregory, A. R., 1974, Formation velocity and density the diagnostic basic for stratigraphic trap: Geophysics, 39, 770–780

Golpasand, M. B., Nikudel, M. R., and Uromeihy, A., 2013, Predicting the occurrence of mixed face conditions in tunnel route of Line 2 Tabriz metro, Tabriz, Iran, in F. Wu, and S. Qi, eds., Global view of engineering geology and the environment: Taylor & Francis Group, 487–492.

Hering, A., Misiek, R., Gyulai, A., Ormos, T., Dobroka, M., and Dresen, L, 1995, A joint inversion algorithm to process geoelectric and surface wave seismic data, part 1: basic ideas: Geophysical Prospecting, 43, 135–156
A joint inversion algorithm to process geoelectric and surface wave seismic data, part 1: basic ideas:Crossref | GoogleScholarGoogle Scholar |

Herrmann, R. B., 1987, Computer programs in seismology: user’s manual II: St Louis University (Missouri, USA).

Kennedy, J., and Eberhart, R. C., 1995, Particle swarm optimization: Proceedings of IEEE International Conference on Neural Networks (Perth, Australia), 1942–1948.

Kennedy, J., and Eberhart, R. C., 2001, Swarm intelligence: Morgan Kaufmann.

Lipowski, A., and Lipowska, D., 2012, Roulette-wheel selection via stochastic acceptance: Physica A: Statistical Mechanics and its Applications, 391, 2193–2196
Roulette-wheel selection via stochastic acceptance:Crossref | GoogleScholarGoogle Scholar |

Metropolis, N., Rosenbluth, M. N., Rosenbluth, A. W., Teller, A. H., and Teller, E., 1953, Equation of state calculations by fast computing machines: The Journal of Chemical Physics, 21, 1087–1092
Equation of state calculations by fast computing machines:Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaG3sXltlKhsw%3D%3D&md5=50dca0ee3cd51c9e1443e0175d7d7da6CAS |

Mostaghim, S., and Teich, J., 2003, Strategies for finding good local guides in Multi-Objective Particle Swarm Optimization (MOPSO): Proceedings of the IEEE Swarm Intelligence Symposium, Indianapolis, IN, 26–33.

Parsopoulos, K. E., Tasoulis, D. K., and Vrahatis, M. N., 2004, Multiobjective optimization using parallel vector evaluated particle swarm optimization: Proceedings of the IASTED International Conference on Artificial Intelligence and Applications, Innsbruck, Austria, 2, 823–828.

Pekşen, E., Yas, T. A., Kayman, Y., and Özkan, C., 2011, Application of particle swarm optimization on self-potential data: Journal of Applied Geophysics, 75, 305–318
Application of particle swarm optimization on self-potential data:Crossref | GoogleScholarGoogle Scholar |

Poormirzaee, R., 2015, Study of S-wave structure by joint inversion of refraction microtremor and seismic refraction waves (in part of Tabriz City): Ph.D. thesis, Sahand University of Technology, Tabriz, Iran.

Poormirzaee, R., and Hamidzadeh, R., 2014, Using particle swarm optimization method to invert active surface waves: lecture notes in computer science, Vol. 8472: Springer.

Poormirzaee, R., Hamidzadeh, R. M., and Zarean, A., 2015, Inversion seismic refraction data using particle swarm optimization: a case study of Tabriz, Iran: Arabian Journal of Geosciences, 8, 5981–5989
Inversion seismic refraction data using particle swarm optimization: a case study of Tabriz, Iran:Crossref | GoogleScholarGoogle Scholar |

Sadrkarimi, J., Zekri, A., and Majidpour, H., 2006, Geotechnical features of Tabriz Marl: Proceedings of the 10th IAEG International Congress, Nottingham, UK, 6–10 September, Paper No. 335.

Santana, R., Pontes, M., and Bastos, F. C., 2009, A multiple objective particle swarm optimization approach using crowding distance and roulette wheel: Ninth International Conference on Intelligent Systems Design and Applications (ISDA ’09), 237–242.

Schott, J. R., 1995, Fault tolerant design using single and multicriteria genetic algorithm optimization: M.S. thesis, Massachusetts Institute of Technology.

Sen, M., and Stoffa, P. L., 1996, Bayesian inference, Gibb’s sampler and uncertainty estimation in geophysical inversion: Geophysical Prospecting, 44, 313–350
Bayesian inference, Gibb’s sampler and uncertainty estimation in geophysical inversion:Crossref | GoogleScholarGoogle Scholar |

Socco, L. V., and Jongmans, D., 2004, Special issue on seismic surface waves: Near Surface Geophysics, 21, 63–165

Socco, L. V., Foti, S., and Boiero, D., 2010, Surface-wave analysis for building near-surface velocity models-Established approaches and new perspectives: Geophysics, 75, 75A83–75A102
Surface-wave analysis for building near-surface velocity models-Established approaches and new perspectives:Crossref | GoogleScholarGoogle Scholar |

Song, X., Tang, L., Lv, X., Fang, H., and Gu, H., 2012, Application of particle swarm optimization to interpret Rayleigh wave dispersion curves: Journal of Applied Geophysics, 84, 1–13
Application of particle swarm optimization to interpret Rayleigh wave dispersion curves:Crossref | GoogleScholarGoogle Scholar |

Tsou, C. S., Fang, H. H., Chang, H. H., and Kao, C. H., 2006, An improved particle swarm Pareto optimizer with local search and clustering: Lecture Notes in Computer Science, 4247, 400–407
An improved particle swarm Pareto optimizer with local search and clustering:Crossref | GoogleScholarGoogle Scholar |

Tsou, C., Chang, S., and Lai, P., 2007, Using crowding distance to improve multi-objective PSO with local search - swarm intelligence, focus on ant and particle swarm optimization: IN-Tech Education and Publishing.

Xia, J., Miller, R. D., and Park, C. B., 1999, Estimation of near-surface shear-wave velocity by inversion of Rayleigh waves: Geophysics, 64, 691–700
Estimation of near-surface shear-wave velocity by inversion of Rayleigh waves:Crossref | GoogleScholarGoogle Scholar |

Yang, X. S., 2010, Engineering optimization: an introduction with metaheuristic applications: John Wiley & Sons.

Zarean, A., Mirzaei, N., and Mirzaei, M., 2015, Applying MPSO for building shear wave velocity models from microtremor Rayleigh-wave dispersion curves: Journal of Seismic Exploration, 24, 51–82