Transformada de Laplace na solução de problemas inversos dinâmicos da sísmica

Mitrofanov, Georgy; Priimenko, Viatcheslav; Misságia, Roseane M.; Amaral, Luis Henrique

doi:10.1590/s0102-261x2009000400001

Cited by 2 publications

(12 citation statements)

References 3 publications

(3 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…It also shows the variation of elastic parameters V p , V s , ρ, which will be consistent with thin-layer objects (blue-color variation V p , red V s and purple ρ). Models of objects in its structure correspond to two types of thin-layer models, and were used in our previous works (Mitrofanov et al, 2009b(Mitrofanov et al, , 2009c. Also, the figure shows the values of elastic parameters for the thick layers of macro model.…”

Section: Results Of Model Experiments For Thin-layer Objectsmentioning

confidence: 99%

“…In this case, we can already use a locally one-dimensional description for the target object and the corresponding inverse problem in linearized or complete statement, which was considered in our previous article, see Mitrofanov et al (2009b).…”

Section: Structural Decomposition Of the Seismic Wave Fieldmentioning

confidence: 99%

“…(1). The properties of ξ i j (t) and the effective ways of constructing estimates in the linearized models were studied in (Mitrofanov et al, 2009b). The above transition leads us to a fairly common way of constructing estimates of factor models.…”

Section: Structural Decomposition Of the Seismic Wave Fieldmentioning

confidence: 99%

“…problem in the spectral domain. This is primarily associated with a significant difference between theoretical and calculated spectra, which significantly affects the properties of the minimized objective function (Mitrofanov et al, 2009b).…”

Section: Analysis Of Influence Of Source Radiation Patternmentioning

confidence: 99%

“…In our previous articles (see Mitrofanov et al, 2009bMitrofanov et al, , 2009c we have dealt with combination of spectra, based on the theoretical solution of the direct problem, with the spectra calculated from the observed seismograms. These issues are the fundamentals for implementation of the proposed algorithms in practice.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Structural decomposition of the wave field in the solution of inverse seismic problems

Mitrofanov¹,

Priimenko²

2010

Rev. Bras. Geof.

Self Cite

View full text Add to dashboard Cite

ABSTRACT. This article discusses aspects of practical application of the solution to inverse seismic problems based on 1D elastic models of the medium.In order to better fit the 1D models to real observations we propose using a structural decomposition. It allows us to transform the wave field, corresponding to a 3D model, to the wave field, corresponding to a set of local 1D models with "ideal" conditions of seismic oscillations excitation and registration. As a result, a new system of observations in the form of "pseudo" seismograms, which are used during the transition into spectral domain for the solution of the corresponding inverse problem, can be available. In addition, the decomposition of waveforms corresponding to the target object is carried out in the spectral domain. This decomposition allows to eliminate variations in the waveform associated with the changes in the conditions of seismic oscillations excitation and registration, as well with the passage through the overlying medium. In particular, it takes into account the change in the waveform due to differences in the radiation patterns of the real source for different angles of arrival to the target object.Keywords: seismic observations, seismic data transformation, 3D and 1D models, spectral domain, structural decomposition. RESUMO.Este artigo discute aspectos da aplicação prática da solução de problemas inversos sísmicos, baseados em modelos elásticos 1D de meio. A fim de melhor ajustar os modelos a observações reais, propomos utilizar uma decomposição estrutural, que permite transformar o campo de onda, correspondente a um modelo 3D, ao conjunto de dados, correspondentes a modelos 1D locais, com condições "ideais" de excitação e registro das oscilações sísmicas. Formando novos dados na forma de "pseudo" sismogramas, que são usados durante a transição no domínio espectral para a construção da solução do problema inverso correspondente. Além disso, a decomposição de formas de ondas correspondentes ao objeto alvoé realizada no domínio espectral. Esta decomposição permite eliminar as variações na forma de onda, associadas a mudanças nas condições de excitação e registro das oscilações sísmicas, bem como com a passagem pela parte superior da seção geológica.Em particular, esta decomposição leva em conta a mudança na forma de onda, devido a diferenças nas características de orientação da fonte real para diferentesângulos de chegada ao objeto alvo.Palavras-chave: observações sísmicas, transformação de dados sísmicos, modelos 3D e 1D, domínio espectral, decomposição estrutural.

show abstract

Section: Results Of Model Experiments For Thin-layer Objectsmentioning

confidence: 99%

Section: Structural Decomposition Of the Seismic Wave Fieldmentioning

confidence: 99%

Section: Structural Decomposition Of the Seismic Wave Fieldmentioning

confidence: 99%

Section: Analysis Of Influence Of Source Radiation Patternmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Structural decomposition of the wave field in the solution of inverse seismic problems

Mitrofanov¹,

Priimenko²

2010

Rev. Bras. Geof.

Self Cite

View full text Add to dashboard Cite

show abstract

Comparação da solução completa do sistema de Lamé com espectro de sismogramas

Mitrofanov

Priimenko²,

Bueno³

2009

Rev. Bras. Geof.

Self Cite

View full text Add to dashboard Cite

ABSTRACT. The questions connected with the solution of direct and inverse dynamic problems for thin layer elastic models in spectral domain are considered in this work. The solution of the corresponding direct problem is obtained using the complete Lamé system represented in two-dimensional spectral domain. Such transition is based on the Laplace transform with respect to the time variable and the Fourier-Bessel transform with respect to the spatial variables. Similar transformations are used for calculation of corresponding two-dimensional spectra by multicomponent seismograms. The possibility of compatibility of these two types of the spectra calculated theoretically and using real seismograms is studied. The matter is that the direct problem, solved in the spectral domain, defines the seismograms in infinite limits on the spatial and time variables. At the same time we have real observation on the limited aperture and in a finite time interval. Transformation of the limited discrete seismogram gives the deformed spectrum which can essentially differ from the theoretical solution. We study the influence of the Laplace parameter and smoothing filters on degree of compatibility of two specified types of spectra. There is shown the possibility to obtain comprehensible degree of compatibility of these spectra for synthetic seismograms, allowing to differentiate types of the models and to distinguish change of their parameters.Keywords: thin layer elastic models, Lamé system, direct and inverse problems, Laplace and Fourier-Bessel transforms, spectral analysis, limited aperture. RESUMO.Neste trabalho foram consideradas questões associadasà solução de problemas dinâmicos diretos e inversos para os modelos elásticos delgados no domínio espectral. A solução de problemas diretos obtém-se usando a transformação do sistema de Lamé completo no domínio espectral bidimensional utilizando a transformada de Laplace com respeitoà variável temporal e a transformada de Fourier-Bessel com respeitoàs variáveis espaciais. Tais transformadas utilizam sismogramas multicomponentes para cálculo dos espectros correspondentes. Uma questão fundamentalé a possibilidade de combinação dos espectros, calculados teoricamente e por sismogramas reais. A dificuldadeé que o problema direto, resolvido no domínio espectral, define o sismograma com limites infinitos com respeitoàs variáveis temporal e espaciais. Ao mesmo tempo as observações reais são registradas com abertura limitada e num intervalo de tempo finito. A transformação de sismogramas limitados e discretos dá um espectro deformado, que pode ser bem diferente da solução teórica. Neste trabalho estuda-se a influência do parâmetro de Laplace e dos filtros de suavização no grau de compatibilidade entre estes dois tipos de espectros. O resultado principal desta investigação foi a obtenção de um nível aceitável de compatibilidade dos espectros para sismogramas sintéticos, o que permite diferenciar vários tipos de modelos e distinguir a mudança dos parâmetros deles.Palavras-chave: modelos elást...

show abstract

Transformada de Laplace na solução de problemas inversos dinâmicos da sísmica

Cited by 2 publications

References 3 publications

Structural decomposition of the wave field in the solution of inverse seismic problems

Structural decomposition of the wave field in the solution of inverse seismic problems

Comparação da solução completa do sistema de Lamé com espectro de sismogramas

Contact Info

Product

Resources

About