SEGJ Technical Conference


Studies of surface-wave dispersion in inversely dispersive media where the shear-wave velocity decreases with depth


Abstract
We calculated surface-wave dispersion curves for inversely dispersive media where the shear-wave velocity decreases with depth. When calculating dispersion curves, we removed a restriction that the bottom layer must have the highest shear-wave velocity. The restriction describes a physical reality that wave amplitudes should attenuate to zero at the infinite depth. However, if we consider complex wave numbers for surface waves, the restriction can be removed. Some studies calculated surface-wave dispersion curves in pavements, which are the typical cases for inversely dispersive media. Unlike the previous works which was based on up-going and down-going rays approach, we employed the compound matrix method by extending the algorithm for complex wave-number cases. Our test calculations for the same models used in previous works showed similar results. We conducted numerical simulation of wave propagation in inversely dispersive media for more understanding of surface-wave dispersion in inversely dispersive media.