Embedding of Theoretical Solution into Seismic Observations
G.M. Mitrofanov and V.I. Priimenko
Journal name: Seismic Technology
Issue: Vol 9, No 3, July 2012 pp. 1 - 31
Info: Article, PDF ( 1.52Mb )
Price: € 30
The article presents studies of some issues of embedding theoretical solutions into the data, observed in a seismic experiment. The investigations have been based on inverse problems solutions for thin-layer elastic models within a frequency domain. Embedding the theoretical solution into real data has been analyzed taking into account the following two aspects: a transformation of the observations to improve their correspondence to the modeling assumptions and an analysis of influence of the real data characteristic properties on the theoretical solution. At the same time one has performed decomposition of the observed wave field that has resulted in its better approximation to the theoretical model. Direct problem solution in the frequency domain, with account for the observations aperture, has been obtained with the Laplace and the Fourier-Bessel transforms. As a result, a better association of the theoretical solution and the two dimension spectra, calculated for the observed seismograms, has become available. The approach proposed opens a way for applying modern theoretical methods of direct and inverse problem solutions and extends the options of their applications for real multicomponent data processing and interpretation.