Simple Derivation of the Formula to Calculated Synthetic Long-Period Seismograms in a Heterogeneous Earth by Normal Mode Summation

摘要

A simple modification of Gilbert's formula to account for slight lateral heterogeneity of the Earth leads to a convenient formula to calculate synthetic long period seismograms. Partial derivatives are easily calculated, thus the formula is suitable for direct inversion of seismograms for lateral heterogeneity of the Earth.