Surface Wave Dispersion Calculation and Sensitivity Analysis in Anisotropic and Weakly Attenuating Medium Based on Spectral Element Method

We present a comprehensive and flexible framework for modeling 1-D surface wave dispersion in anisotropic and weakly attenuating media. The spectral element method is employed to accommodate various stress-strain relationships, boundary conditions, and multiphysics coupling effects. Both radial and general complex anisotropic relations can be incorporated. Standard linear solid models, along with a correction method, are utilized to efficiently model attenuation effects. In addition, we provide a sensitivity analysis framework for any quantity with respect to model parameters using the adjoint method. Three numerical experiments are presented to demonstrate the capabilities and flexibility of our approach. Overall, this study offers researchers a powerful and versatile tool for investigating Earth's subsurface structures.