Abstract
Summary A new analytical computationally efficient methodology for calculation of the sensitivities of Rayleigh phase velocity and attenuation coefficient is presented. This analytical method for use in the direct stiffness method for wave propagation allows for calculation of the dispersion and attenuation curves sensitivities with respect to to all dynamic layer parameters. Previous analytical methods for use with the direct stiffness method only allow for calculation of sensitivities with respect to the shear and dilatational wave velocity. The new method, which is based on the adjoint eigenvalue problem method, requires only a fraction of the calculation cost of the dispersion and attenuation curve and is about 100 times faster than calculating the sensititivies numerically with finite differences. Results are shown for the sensitivities of the Rayleigh wave dispersion and attenuation curves with respect to the shear wave velocity and thickness of the layers.
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