Abstract
AbstractIn order to obtain the elastic velocity of subsurface media directly, we propose a frequency domain elastic‐wave finite element least squares inversion method according to the criterion of minimizing the misfit function (the l2‐norm of the data residuals between observed and froward modeled 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 and the Levenberg‐Marquard technique with an adjustable damping term to solve the inverse equation group. To exploit subsurface geologic distribution features to decrease the number of inverse unknowns, we suggest a regular‐block‐model method for 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 a great difference from the model. It proves that the inversion is noise‐resistable and robust.
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