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《Chinese Journal of Geophysics》 2004-04
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FREQUENCY-DOMAIN FINITE-ELEMENT INVERSION OF ELASTIC-WAVE VELOCITY USING THE GEOLOGICAL REGULAR-BLOCKY-MODEL METHOD

XU Kun WANG Miao-Yue Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China  
In order to obtain the elastic velocity of subsurface media directly, this paper derives a frequency-domain elastic-wave finite-element least-squares inversion method according to the criterion of minimizing the misfit function (the l 2-norm of the data residuals between observational data and modeling data) on the basis of the frequency-domain elastic-wave finite-element modeling equation. This inversion method includes the matrix compressional storage and LU decomposition techniques to save and solve the large sparse complex-valued coefficient matrix in frequency-domain modeling equation. Then the Levenberg-Marquard technique with an adjustable damping term is used to solve the inverse equation group. To sufficiently exploit subsurface geologic distribution features to decrease the number of inverse unknowns, this paper introduces the regular-blocky-model method into the inversion. Being verified by numerical models, this inversion method can obtain satisfied results using the shot profile contaminated with great random noise even up to 50% or the initial model parameters that have much difference from the original model parameters, which proves the inversion is noise-resistable and 'robust'.
【Fund】: 国家自然科学基金项目 ( 4 0 0 740 3 5 )
【CateGory Index】: P631
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