Análise comparativa de aproximações não-hiperbólicas dos tempos de trânsito de dados sísmicos multicomponente utilizando tecnologia OBN

Zuniga, Nelson Ricardo Coelho Flores

doi:10.11606/d.14.2019.tde-25052018-101453

Cited by 12 publications

(44 citation statements)

References 21 publications

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“…The approximation was lately studied concerning its parameter by Li (2003), and after compared with other approximations (Zuniga et al, 2015(Zuniga et al, , 2016b(Zuniga et al, , 2017Zuniga, 2017). As the approximation showed to have a multimodal statistical distribution in previous works, it must be tested with the L1-norm rather than the L2-norm to observe if it could suppress the local minimum region, or at least makes a narrower global minimum region to increase the accuracy during the inversion.…”

Section: Nonhyperbolic Multiparametric Travel-time Approximationmentioning

confidence: 99%

“…To compare nonhyperbolic travel-time approximations was an important analysis to understand which approximation presents the best results and is the most reliable to perform a travel-time curve inversion procedure. This kind of comparison has been performed during the last decade (Aleixo & Schleicher, 2010;Golikov & Stovas, 2012;Zuniga et al, 2015Zuniga et al, , 2016aZuniga et al, ,b, 2017Zuniga, 2017). As the recent works showed an extremely positive results with the use of the approximation proposed by Li & Yuan (2001), the accuracy analysis of this equation is important to be performed concerning the L1-norm, once there is no previous works with this kind of tests.…”

Section: Accuracy Analysismentioning

confidence: 99%

“…Recent works (e.g. Zuniga et al, 2015Zuniga et al, , 2016aZuniga et al, ,b, 2017Zuniga, 2017) showed not only the accuracy comparison among these nonhyperbolic approximations, but also the complexity analysis study concerning the objective function. This kind of test was important to understand the behavior of each approximation related to their statistical distributions.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Nonhyperbolic Multiparametric Travel-time Approximationmentioning

confidence: 99%

Section: Accuracy Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Zuniga¹,

Ribeiro²,

Priimenko³

2019

Braz J Geophys

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“…Even with other authors working with comparison of travel-time approximations (Aleixo & Schleicher, 2010;Golikov & Stovas, 2012), none of them presented a complexity analysis concerning the objective function of the approximations. However, more recent works showed this kind of analysis for PP and PS events (Zuniga, 2017;Zuniga et al, 2015Zuniga et al, , 2016aZuniga et al, ,b, 2017. For this reason, it was possible to observe that there are approximations which presented always a unimodal (there is only the global minimum region) behavior in the topography of the objective function (Malovichko, 1978;Alkhalifah & Tsvankin, 1995).…”

Section: Introductionmentioning

confidence: 99%

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

2018

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The velocity analysis is an important step for the seismic processing. With the increase in the difficulty of work with specific conditions and complex geological structures, more complex travel-time approximations are developed to perform a better structural characterization. As the complexity increases, more approximations were developed aiming to characterize different factor responsible for the nonhyperbolicity, and using sometimes an additional parameter. Many nonhyperbolic multiparametric travel-time approximations were developed and their complexities vary strongly from one to other. In previous works, it was observed that some approximations present a unimodal behavior while other approximations showed a multimodal behavior. However, a specific kind of approximation showed both statistical distributions, the unimodal and the multimodal in distinct situations. To find out the factor responsible for this variation in the probabilistic distribution behavior of this kind of approximation, it was necessary to test different theoretical models to understand which variation in the structure interferes in the topography of the objective function.

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“…Several studies were proposed to understand the nonhyperbolicity from different effects in last decades (Malovichko, 1978;Blias, 1983Blias, , 2009Muir & Dellinger, 1985;Castle, 1988Castle, , 1994Slotboom, 1990;Tsvankin & Thomsen, 1994;Alkhalifah & Tsvankin, 1995;Li & Yuan, 1999Cheret et al, 2000;Causse et al, 2000;Tsvankin & Grechka, 2000a,b;Fomel & Grechka, 2000Li, 2003;Ursin & Stovas, 2006;Aleixo & Schleicher, 2010). Even with a significant number of papers, only few works compare nonhyperbolic approximations in an independent way (Golikov & Stovas, 2012) and for offshore models using multicomponent seismic data (Zuniga et al, 2015(Zuniga et al, , 2016Zuniga, 2017).…”

Section: Introductionmentioning

confidence: 99%

Comparison of Travel-Time Approximations for Unconventional Reservoirs From Santos Basin, Brazil

Zuniga¹,

Molina²,

Prado³

2017

Braz J Geophys

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ABSTRACT. The reflection seismic method is extremely important for the hydrocarbon exploration. With more complex geological structures, as the pre-salt from Santos Basin, the reservoir exploration becomes more challenging and the multicomponent seismic investigation improves its mapping and characterization. To obtain multicomponent seismic data of an offshore survey it is necessary to use the OBN (Ocean Bottom Nodes) technology. The converted wave behavior, the large offsets and the difference of datum between source and receptors for layered media, results in strong nonhyperbolic travel-time events. Furthermore, the complexity and peculiarities of some unconventional reservoirs found in the pre-salt also increase the difficulty to perform the velocity analysis. For these reasons, it is necessary to use nonhyperbolic multiparametric travel-time approximations to control the nonhyperbolicity. Here we perform the comparison of nonhyperbolic travel-time approximations of seismic reflection events derived from geological models. The numerical study was considered as an inverse problem and it was treated according to an optimization criterion. The complexity analysis was performed in order to understand the behavior of each approximation concerning the unicity. After the computation of the relative errors between the observed curve and the calculated curve for each nonhyperbolic approximation, it was possible to find out the one with the highest accuracy for the events tested here. Keywords: multicomponent, OBN, nonhyperbolic.RESUMO.Ométodo sísmico de reflexão é extremamente importante para a exploração de hidrocarbonetos. Comestruturas geológicasmais complexas, como o pré-sal da Bacia de Santos, a exploração de reservatórios se tornamais desafiadora e a utilização da sísmica multicomponente promove o mapeamento e caracterização estrutural. Para obter-se dados de sísmica multicomponente em um levantamento offshore é necessário utilizar a tecnologia OBN (Ocean Bottom Nodes ). O comportamento de ondas convertidas, longos afastamentos e diferença de datum entre fonte e receptor pra meios estratificados resultam em uma forte não-hiperbolicidade dos eventos de tempos de trânsito. Além disso, a complexidade e peculiaridades, de alguns reservatórios não convencionais encontrados no pré-sal, também aumentam a dificuldade em realizar a análise de velocidades. Por estes motivos, é necessário usar aproximações não-hiperbólicas multiparamétricas de tempos de trânsito para controlar os efeitos da não-hiperbolicidade. No presente trabalho, foi realizada a comparação de aproximações não-hiperbólicas de tempos de trânsito de eventos sísmicos de reflexão provenientes de modelos geológicos. O estudo numérico foi considerado como um problema inverso e foi tratado de acordo com um critério de otimização. A análise de complexidade foi realizada para compreender o comportamento de cada aproximação com respeito a unicidade. Após computar os erros relativos entre a curva observada e as calculadas com cada aproximação, foi possível descobrir a aproximação que apresentou maior precisão para os testes realizado.Palavras-chave: multicomponente, OBN, não-hiperbólicas.

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Análise comparativa de aproximações não-hiperbólicas dos tempos de trânsito de dados sísmicos multicomponente utilizando tecnologia OBN

Cited by 12 publications

References 21 publications

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

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

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

Comparison of Travel-Time Approximations for Unconventional Reservoirs From Santos Basin, Brazil

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