This paper implements the theoretical study of propagation of Rayleigh-type surface waves in an orthotropic crystal layer of finite thickness lying on an initially stressed elastic half-space due to a point source. The boundary conditions of the model are considered properly, and the displacement components are obtained in both layers using the substitution method and the matrix method for solution (non-trivial) of the system of homogeneous linear equation. The dispersion equation is found for the seismic wave propagation in a sixth-order determinant equation form. This equation is also derived for the initial stressed elastic half-space of the free boundary. Some particular cases are considered in a relevant manner. Dispersion curves for wave number versus phase velocity are traced for the model using Mathematica software. The curves conclude that the affecting parameters have a great effect on the surface wave propagation.
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