COMPARISON OF GLOBAL SEARCH OPTIMIZATION ALGORITHMS TO PERFORM THE VELOCITY ANALYSIS WITH A CONVERTED WAVE MOVEOUT EQUATION
DOI:
https://doi.org/10.29121/granthaalayah.v7.i6.2019.732Keywords:
Optimization Algorithms, Nonhyperbolic, Travel-Time, Seismic Inversion, MultiparametricAbstract [English]
Even with previous works having studied about the accuracy and objective function of several nonhyperbolic multiparametric travel-time approximations for velocity analysis, they lack tests concerning different optimization algorithms and how they influence the accuracy and processing time. Once many approximations were tested and found the multimodal one which presented the best accuracy results, it is possible to perform a velocity analysis with different global search optimization algorithms. The minimization of the curve calculated with the converted wave moveout equation to the observed curve can be done for each optimization algorithm selected in this work. The travel-time curves tested here are the PP and PS reflection events coming from the interface of the top of an offshore ultra-deep reservoir. After the inversion routine have been performed, it is possible to define the processing time and the accuracy of each optimization algorithm for this kind of problem.
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References
Aarts EHL, van Laarhoven PJM. Statistical cooling: A general approach to combinatorial optimization problems. Phillips Journal Research, 40, 1985, 193-226.
Alkhalifah T, Tsvankin I. Velocity analysis for transversely isotropic Media. Geophysics, 60, 1995,1550-1566. DOI: https://doi.org/10.1190/1.1443888
Barros PA, Kirby MR, Mavris DN. Impact of sampling techniques selection on the creation of response surface models. SAE Transaction-Journal of Aerospace, 113, 2004, 1682-1693. DOI: https://doi.org/10.4271/2004-01-3134
Barton RR. Metamodeling: A state of the art review. Proceedings of the 1994 Winter Simulation Conference, Expanded Abstract, 1994, 237-244.
Bélisle CJ, Romeijn HE, Smith RL. Hit-and-run algorithm for generating multivariate distributions. Mathematics of Operations Research, 18, 1993, 255-266. DOI: https://doi.org/10.1287/moor.18.2.255
Blias E. Long-offset NMO approximations for a layered VTI model: Model study. 79th Annual International Meeting, Society of Exploration Geophysics, Expanded Abstract, Houston, 2009, 3745-3749. DOI: https://doi.org/10.1190/1.3255647
Dix CH. Seismic velocities from surface measurements. Geophysics, 20, 1955, 68-86. DOI: https://doi.org/10.1190/1.1438126
Golikov P, Stovas A. Accuracy comparison of nonhyperbolic moveout approximations for qP-waves in VTI media. Journal of Geophysics and Engineering, 9, 2012, 428-432. DOI: https://doi.org/10.1088/1742-2132/9/4/428
Hansen N. The CMA evolution strategy: A computing review. Towards a New Evolutionary Computation, 2006, 75-102. DOI: https://doi.org/10.1007/3-540-32494-1_4
Holmström K, Quttineh NH, Edvall MM. An adaptive radial basis algorithm (ARBF) for expensive black-box mixed-integer constrained global optimization. Optimization and Engineering, 9, 2008, 311-339. DOI: https://doi.org/10.1007/s11081-008-9037-3
Horst R, Pardalos PM, Thoai NV. Introduction to global optimization. 2nd ed. Dordrecht: Kluwer Academic Publusher, 2000, 354. DOI: https://doi.org/10.1007/978-1-4615-0015-5
Huyer W, Neumaier A. Global optmization by multilevel coordinate search. Journal of Global Optimization, 14, 1999, 331-355. DOI: https://doi.org/10.1023/A:1008382309369
Huyer W, Neumaier A. SNOBFIT – Stable Noisy optimization by branch and fit. ACM Transactions on Mathematical Software, 35, 2008, 1-25. DOI: https://doi.org/10.1145/1377612.1377613
Jones DR. A taxonomy of the global optimization methods based on response surface. Journal of Global Optimization, 21, 2001, 345-383. DOI: https://doi.org/10.1023/A:1012771025575
Jones DR, Schonlau M, Welch J. Efficient global optimization of expensive black-box functions. Journal of Global Optimization, 13, 1998, 455-492. DOI: https://doi.org/10.1023/A:1008306431147
Kirkpatrick S, Gelatt CD, Vecchi P. Optimization by simulated annealing. Science, 220, 1983, 671-680. DOI: https://doi.org/10.1126/science.220.4598.671
Li XY, Yuan J. Converted-waves moveout and parameter estimation for transverse isotropy. 61st EAGE Conference, Expanded Abstract, 1999, 4-35.
Li XY, Yuan J. Converted wave imaging in inhomogeneous, anisotropic media: Part I. Parameter estimation. 63rd EAGE Conference, Amsterdam, The Netherlands., Expanded Abstract, 2001, 109. DOI: https://doi.org/10.3997/2214-4609-pdb.15.P109
Li XY, Converted-wave moveout analysis revisited: The search for a standard approach. 73rd Annual International Meeting, Society of Exploration Geophysics, Expanded Abstract, 2003, 805-808. DOI: https://doi.org/10.1190/1.1818059
Malovichko AA. A new representation of the traveltime curve of reflected waves in horizontally layered media. Applied Geophysics (in Russian), 91, 1978, 47-53.
Margrave GF. New seismic modelling facilities in Matlab. CREWES Research Report, 12, 2000.
Margrave GF. Numerical methods explorations seismology with algorithms in Matlab. CREWES Research Report, 2003.
Matheron G. Principles of geostatistics. Economic Geology, 58, 1967, 1246-1266. DOI: https://doi.org/10.2113/gsecongeo.58.8.1246
Metropolis N, Rosenbluth AW, Rosenbluth MN, Teller AH, Teller E. Equation of state calculations by fast computing machine. The Journal of Chemical Physics, 21, 1953, 1087-1092. DOI: https://doi.org/10.1063/1.1699114
Muir F, Dellinger J. A practical anisotropic system, in SEP-44. Stanford Exploration Project, 1985, 55-58.
Neumaier A, Shcherbina R, Huyer W, Vinkó T. A comparison of complete global optimization solvers. Mathematical Programming, 103, 2005, 335-356. DOI: https://doi.org/10.1007/s10107-005-0585-4
Pintér JD. Global optimization in action: Continuous and Lipschitz optimization. Algorithms, Implementations and Applications, Kluwer Academic Publisher, 1995, 422.
Pintér JD, Holmström K, Göran AO, Edvall MM.. User’s Guide for TOMLAB/LGO. TOMLAB Optimization, 2006.
Rios LM, Sahinidis NV. Derivative-free optimization: A review of algorithms and comparison of softwares implementations. Journal of Global Optimization, 56, 2013, 1247-1293. DOI: https://doi.org/10.1007/s10898-012-9951-y
Romeo F, Sangiovani-Vincentelli A. A theoretical framework for simulated annealing. Algorithmica, 6, 1991, 302-345. DOI: https://doi.org/10.1007/BF01759049
Schonlau M. Compute Experiments and Global Optimization. PhD Thesis, University of Waterloo, 1997, 131.
Telraky T, Sotirov R. Multi-start approach to global conic optimization. ISE Archives of Working Papers, 2010.
Thomsen L. Weak elastic anisotropy. Geophysics, 51, 1986, 1954-1966. DOI: https://doi.org/10.1190/1.1442051
Thorbecke JW, Draganov D. Finite-difference modeling experiment for seismic interferometry. Geophysics, 76, 2012, H1-H18. DOI: https://doi.org/10.1190/geo2010-0039.1
Ursin B, Stovas A. Traveltime approximations for a layered transversely isotropic medium. Geophysics, 71, 2006, 23-33. DOI: https://doi.org/10.1190/1.2187716
Vaz AIF, Vicente LN. A particle swarm pattern search method for bound constrained global optimization. Journal of Global Optimization, 39, 2007, 197-219. DOI: https://doi.org/10.1007/s10898-007-9133-5
Yuan J, Li XY. Comverted wave anisotropic parameter estimation from conversion point. 64th EAGE conference, Expanded Abstract, 2002, 253.
Zuniga NRCF. Análise comparativa de aproximações não-hiperbólicas dos tempos de trânsito de dados sísmicos multicomponente utilizando tecnologia OBN. Master’s Thesis, Universidade de São Paulo, Brazil, 2017, 86. DOI: https://doi.org/10.22533/at.ed.05420170210
Zuniga NRCF, Bokhonok O, Diogo LA. Comparison of nonhyperbolic travel-time approximations for multicomponent seismic data. 14th SBGf Congress, Expanded Abstract, Rio de Janeiro, Brazil, 2015, 1176-1181. DOI: https://doi.org/10.1190/sbgf2015-235
Zuniga NRCF, Molina EC, Prado RL. Inversion of multicomponent seismic data for VTI medium using the globalized Nelder-Mead optimization algorithm. 3th EAGE/SBGf Workshop, Expanded Abstract. Rio de Janeiro, Brazil, 2016a. DOI: https://doi.org/10.3997/2214-4609.201600051
Zuniga NRCF, Molina EC, Prado RL. Inversion of multicomponent seismic data of the Santos Basin. Far East Hydrocarbons, Expanded Abstract, 2016b. DOI: https://doi.org/10.3997/2214-4609.201602316
Zuniga NRCF, Molina EC, Prado RL. Comparison of travel-time approximations for unconventional reservoirs from Santos Basin, Brazil. Brazilian Journal of Geophysics, 35, 2017, 271-286. DOI: https://doi.org/10.22564/rbgf.v35i4.906
Zuniga NRCF, Ribeiro FB, Priimenko VI. Relation between the model and the topography of the objective function in a velocity analysis using a nonhyperbolic multicomponent travel-time approximation. Brazilian Journal of Geophysics, 36(4), 2018, 1-10. DOI: https://doi.org/10.22564/rbgf.v36i4.988
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