Relation Between the Model and the Topography of the Objective Function in a Velocity Analysis Using a Nonhyperbolic Multicomponent Travel-Time Approximation

Zuniga, Nelson Ricardo Coelho Flores; Ribeiro, Fernando Brenha; Priimenko, Viatcheslav

doi:10.22564/rbgf.v36i4.988

Cited by 9 publications

(16 citation statements)

References 4 publications

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“…Malovichko, 1978;Slotboom, 1990;Alkhalifah & Tsvanki, 1995), and others both behavior varying with the model (e.g. Ursin & Stovas, 2006;Blias, 2009), as observed by Zuniga et al (2018).…”

Section: Introductionmentioning

confidence: 96%

L2- And L1-Norm Applied to Inversion of Nonhyperbolic Travel-Time

Zuniga¹,

Ribeiro²,

Priimenko³

2019

Braz J Geophys

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ABSTRACT. Several nonhyperbolic multiparametric travel-time approximations were tested to perform the velocity analysis in the last decade. The previous works studied not only the accuracy but also the complexity concerning the topology of the objective function and the statistical distribution. However, the variation of the norm was poorly studied. As some approximations presented very good results, it is important to understand the behavior of the application of the L1-norm rather than the L2-norm. Therefore, it was selected an approximation which showed the best set of results so far. Thus, this approximation was compared to the L2- and L1-norm aiming to observe its behavior for a PP and a PS reflection event. With this set of information, it is possible to evaluate what kind of improvement the L1-norm can bring for this kind of analysis.Keywords: objective function, nonhyperbolic, probability distribution.RESUMO. Diversas aproximações não-hiperbólicas multiparamétricas de tempos de trânsito foram testadas para realizar a análise de velocidades na última década. Trabalhos anteriores estudaram não apenas a precisão, mas também a complexidade de topologia da função objetivo e a distribuição estatística destas aproximações. Entretanto, a variação de norma foi pouco estudada. Como algumas aproximações apresentaram resultados muito bons, é importante entender o comportamento da aplicação da norma L1 ao invés da L2. Portanto, foi selecionada uma aproximação que apresentou o melhor conjunto de resultados até o momento. Dessa forma, esta aproximação foi comparada com as normas L2 e L1, visando observar seu comportamento para eventos de reflexão PP e PS. Com esse conjunto de informações, é possível avaliar que tipo de melhoria a aplicação da norma L1 pode trazer para este tipo de análise.Palavras-chave: função objetivo, não-hiperbólica, distribuição probabilística.

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“…Malovichko, 1978;Slotboom, 1990;Alkhalifah & Tsvanki, 1995), and others both behavior varying with the model (e.g. Ursin & Stovas, 2006;Blias, 2009), as observed by Zuniga et al (2018).…”

Section: Introductionmentioning

confidence: 96%

L2- And L1-Norm Applied to Inversion of Nonhyperbolic Travel-Time

Zuniga¹,

Ribeiro²,

Priimenko³

2019

Braz J Geophys

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“…The shifted hyperbola (Malovichko, 1978) has the proposition of controlling the effect of large offsets in inhomogeneous media using the S parameter. This equation was also studied and derived by Castle (1988) and de Bazelaire (1988, and more recently tested for VTI media (Zuniga et al, 2015), for strong heterogeneity (Zuniga, 2015), and for offshore OBN data (Zuniga, 2017;Zuniga et al, 2015Zuniga et al, , 2016Zuniga et al, , 2017Zuniga et al, , 2018Zuniga et al, and 2019a. The shifted hyperbola can be described as…”

Section: Other Approximationsmentioning

confidence: 99%

“…These approximations were already previously tested for different models and problems by Zuniga (2015Zuniga ( , 2017Zuniga ( and 2018 and Zuniga et al (2015Zuniga et al ( , 2016Zuniga et al ( , 2017Zuniga et al ( , 2018Zuniga et al ( , 2019aZuniga et al ( , 2019bZuniga et al ( and 2019c.…”

Section: Other Approximationsmentioning

confidence: 99%

“…However, for this approximation, the authors (Ursin and Stovas, 2006) proposed that the S parameter is expressed in a quasi-acoustic case as a function of the Thomsen anisotropic parameters (Thomsen, 1986). For this reason, it showed a better result concerning the velocity recovery, even when, on the other hand, the topology of the function is sensitive to the model variation (Zuniga et al, 2018(Zuniga et al, , 2019b(Zuniga et al, and 2019c.…”

Section: Other Approximationsmentioning

confidence: 99%

“…To develop this approximation, the author performed several numerical tests related to the walkway vertical seismic profile (VSP). In this case, the approximation was very sensitive to the additional parameter and velocity (Zuniga et al, 2018(Zuniga et al, , 2019b(Zuniga et al, and 2019c, however, it had a very complex topology and was strongly dependent on the model.…”

Section: Other Approximationsmentioning

confidence: 99%

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Nonhyperbolic multiparametric travel-time approximation for converted-wave and OBN data

Zuniga¹

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To obtain a more accurate stratigraphic model, it is important to perform a reliable velocity analysis by fitting the calculated travel-time curve to the recorded one. The main challenge to perform this step in the offshore seismic survey is the fact there are many factors which present characteristics that generate nonhyperbolicity in travel-time events. For this reason, it is necessary to use an approximation which is able to control the effects of the nonhyperbolicity so that performing an efficient velocity analysis is possible.

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Comparison between L2- and L1-norm and among optimization algorithms for a nonhyperbolic multiparametric approach for converted-wave and OBN data

Zuniga¹

2022

Braz J Geophys

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As velocity analysis is an important step in seismic processing, several nonhyperbolic travel-time approximations have been proposed during the last decades, and each nonhyperbolic approximation was developed for different conditions and with different proposals. However, none of them was proposed to consider the combined effect of the nonhyperbolicity coming from layered media with large offsets, wave conversion and difference of datum between source and receiver. For this, a nonhyperbolic multiparametric travel-time approximation, which is capable of describing this combination of effects, was recently proposed. As this approximation was developed to characterize ultra-deep reservoirs, the understanding of its behavior is necessary for an offshore reservoir concerning the objective function topology complexity, as it is important for a better understanding of its behavior during the inversion procedure, and also important to determine the kind of optimization algorithm to be used. Performing the inversion procedure with different optimization algorithms and norms is proposed. The complexity analysis of the objective function is also proposed. Then, a comparison between each norm and among each algorithm concerning their accuracy and efficiency is proposed, to find which combination is the most effective to recover RMS velocity information for this kind of scenario.

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Relation Between the Model and the Topography of the Objective Function in a Velocity Analysis Using a Nonhyperbolic Multicomponent Travel-Time Approximation

Cited by 9 publications

References 4 publications

L2- And L1-Norm Applied to Inversion of Nonhyperbolic Travel-Time

L2- And L1-Norm Applied to Inversion of Nonhyperbolic Travel-Time

Nonhyperbolic multiparametric travel-time approximation for converted-wave and OBN data

Comparison between L2- and L1-norm and among optimization algorithms for a nonhyperbolic multiparametric approach for converted-wave and OBN data

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