Atenuação de múltiplas e compressão do pulso fonte em dados de sísmica de reflexão utilizando o filtro Kalman-Bucy

Abstract

The main objective of this work is the study and the application of the Kalman-Bucy method in the processo f deconvolution to the impulse and deconvolution with prediction, considering the observed data as no stationary. The data used in this work are synthetic and, with this, this Thesis has characteristics of a numerical and search. The operator of deconvolution to the impulse is obtained from the Crump theory (1974), doing use of the solution of equation of Wiener-Holp presented by Kalman-Bucy in the continuoun and discrete forms considering the stacionary process. The prediction operator (KBCP) is based the Crump (1974) and Mendel et al (1979) theorics. Its structure resembles the Wiener-Hopf filter, where the coefficients of the operator are obtained through the autocorrelation, in the case (KBCP) are obtained from the function bi(k). The problem is defined in two steps: the first consists of the generation of the signal, and second of its evaluation. The deconvolution performed is classified as statistics, and is a model based in the properties of the registered signal and its representation. The method were applied only in synthetic data with common-shot section obtained from models with continuous interfaces and homogeneous layers.