| 摘要 |
Maximum likelihood estimation theory is applied to the determination of the ratio of P-wave velocity to S-wave velocity (Vp/Vs) from P-wave and S-wave seismic sections obtained along the same line of exploration. For a certain statistical model, the optimal estimator for Vp/Vs is determined, and shown to be equivalent to maximizing the simple mathematical correlation between P-wave and stretched S-wave seismogram segments. The maximum likelihood method provides a data-dependent formula for the mean square error associated with the Vp/Vs estimate. Alternatively, the latter formula provides a measure of the Vp/Vs information contained in the data. The information measure also provides optimal weighting for computing multitrace Vp/Vs averages, and provides for the determination of the statistical error in such averages. The performance of the maximum likelihood estimator and its attendant information measure are demonstrated on synthetic and real seismograms. |
