A Fast, Accurate Method for Computing Group-Velocity Partial Derivatives for Rayleigh and Love Modes.

摘要

A method (computer codes) for quickly and accurately calculating Rayleigh- and Love-mode group-velocity partial derivatives with respect to model parameters (m) is developed. The method is fast because the partial derivatives for all the model parameters can be obtained at a given frequency from only two solutions of the period equation. The accuracy of the method is established with two examples. For Love waves, the group-velocity partials computed by this method agree exactly with those obtained analytically by Novotny (1970). For Rayleigh waves, comparison with a 'brute force' calculation of group-velocity partials showed agreement to the order of 0.00002. Systematic inversion of group-velocity data separated or in combination with phase-velocity data is computationally feasible using this method. (Author)