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Revista Brasileira de Geofísica
versão impressa ISSN 0102-261X
MITROFANOV, Georgy; PRIIMENKO, Viatcheslav; MISSAGIA, Roseane e AMARAL, Luis. Utilização das transformadas de Laplace e Fourier-Bessel na modelagem de meios elásticos delgados. Rev. Bras. Geof. [online]. 2009, vol.27, n.2, pp. 205-224. ISSN 0102-261X. http://dx.doi.org/10.1590/S0102-261X2009000200005.
There are considered various aspects of the numerical simulation of seismic waves connected with thin layer reservoirs. The Lamé system is used for the description of the seismic waves propagation. As a result we obtain both the horizontal and vertical displacement components, which are important for the analysis of seismic fields in the 3D seismic survey. In order to provide results nearer of the real experiment, in the mathematical formulation of the problem we use the deepened source of the type of the center of expansion. The solution of the problem, constructed in the spectral domain using the temporal Laplace and spatial Fourier-Bessel transforms, is studied in details to prove its applicability to the solution of direct and inverse dynamic seismic problems. Special attention is done to analysis of the influence of the real part of the Laplace parameter on multi component seismograms corresponded to the horizontal and vertical components of the elastic field. Also, we discuss the computational aspects of the proposed scheme and carry out several analyses of the registered wave fields. The results obtained demonstrated the potential of the method to help in the process of characterization of thin reservoirs in comparison with other methods: method of potentials, ray tracing method,and finite difference method.
Palavras-chave : Lamé system; thin layer reservoir; multi wave and multi component observation; temporal Laplace and spatial Fourier-Bessel transforms; spectral domain; numerical modeling.