Velocity analysis using similarity-weighted semblance |

where is a known function, and and are two coefficients. In the simplest form, can be chosen as the offset at trace . In order to estimate and , we can turn to minimize the following objection function of misfit between the trend and trace amplitude:

Taking derivatives with respect to and in equation A-2, setting them to zero, and solving the two linear equations, we can obtain the the following two least-squares fitting coefficients:

Substituting into equation 2 leads to the AB semblance.

Velocity analysis using similarity-weighted semblance |

2015-06-25