Ultimately, the reliable analytic model can provide an efficient approach to solving the parametric relationship of wave scattering. The analytical model can be solved by the Gauss–Legendre quadrature method, which shows the significantly correlated displacement variation with the FE simulation result. A novel, verified model, is proposed to provide variations in the backward and forward scattered surface wave displacements calculated by different frequencies and geometrical crack parameters. The obtained analytical solutions are verified with displacement variation curves from the computational simulation by defining the correlation of the results. The study also provides an efficient dynamic finite element analysis to demonstrate the viability of the wave scattering model with an optimized model configuration for wave separation. The model’s analytical solution uses five different numerical integration methods: (1) the Gauss–Legendre quadrature, (2) the Gauss–Chebyshev quadrature, (3) the Gauss–Jacobi quadrature, (4) the Gauss–Hermite quadrature and (5) the Gauss–Laguerre quadrature. Defining a wave scattering model by objects, such as cracks, still can be quite a challenge. In this study, singular integral solutions were studied to investigate scattering of Rayleigh waves by subsurface cracks. What is EViews EViews offers financial institutions, corporations, government agencies, and academics access to powerful statistical, time series, forecasting.
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