Propagation of Rayleigh waves in a model of the cross-section of a mountain and its root

Summary This study deals with the theoretical investigation of a model of a mountain and its root. A Gaussian function with a set of constants is used to represent the surface of a mountain and a Gaussian with a different set of constants approximates the root i.e. the crust-mantle boundary underneath the mountain. The expressions for the amplitudes of the components of strain are obtained. Also the period equation as a function of distance (x) for the propagation of Rayleigh waves is derived here.