Revista Brasileira de Geofísica
versão impressa ISSN 0102-261X
MITROFANOV, Georgy; PRIIMENKO, Viatcheslav Ivanovich e BUENO, André Duarte. Comparação da solução completa do sistema de Lamé com espectro de sismogramas. Rev. Bras. Geof. [online]. 2009, vol.27, n.4, pp. 545-563. ISSN 0102-261X. http://dx.doi.org/10.1590/S0102-261X2009000400002.
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.
Palavras-chave : thin layer elastic models; Lamé system; direct and inverse problems; Laplace and Fourier-Bessel transforms; spectral analysis; limited aperture.