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![]() | Wave-equation time migration | ![]() |
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Applying equation 10 for converting RMS velocity to Dix velocity
in practice requires special care because of
possible noisy measurements. Large variations in RMS velocities produce rapid variations in interval velocities which leads to unstable Dix inversion. It helps to formulate Dix conversion as a linear estimation problem and use regularization for constraining
its solution (Clapp et al., 1998; Valenciano et al., 2004; Fomel and Guitton, 2006; Fomel, 2007a). We use least-squares and shaping regularization for stable conversion of RMS velocities to interval velocities.