Forward problem for Love and quasi-Rayleigh waves: Exact dispersion relations and their sensitivities

TL;DR

This paper derives exact dispersion relations for Love and quasi-Rayleigh waves in layered elastic media, analyzing their propagation speeds and sensitivities to material and geometric parameters.

Contribution

It provides explicit dispersion relations and sensitivity analyses for Love and quasi-Rayleigh waves in elastic layered media, enhancing understanding of wave behavior in geophysical applications.

Findings

Derived exact dispersion relations for both wave types.

Analyzed wave speed dependencies on material and geometric parameters.

Identified sensitivities of wave speeds to model variations.

Abstract

We examine two types of guided waves: the Love and the quasi-Rayleigh waves. Both waves propagate in the same model of an elastic isotropic layer above an elastic isotropic halfspace. From their dispersion relations, we calculate their speeds as functions of the elasticity parameters, mass densities, frequency and layer thickness. We examine the sensitivity of these relations to the model and wave properties.