Analysis of Quasi waves in Orthotropic Layer Bonded Between Piezoelectric Half-Spaces with Imperfect and Sliding Interfaces

Pato Kumari1, Rupali Srivastava1
1Jaypee Institute of Information Technology, Noida, India

Tóm tắt

The objective of present work is to investigate seismic wave reflection/transmission in an orthotropic layer bonded between two piezoelectric half-spaces in presence of an imperfect corrugated superstratum and sliding lower interface. Closed form analytical expressions for displacement field, electric potential, and velocity profile of quasi seismic waves are deduced for respective geomedia using time harmonic plane wave solution approach with appropriate boundary conditions. Rayleigh’s first-order approximation, generalized Snell’s law and spectrum theorem are used to determine the analytical solution for reflection, transmission (RT) coefficients for regularly and irregularly scattered waves. Numerical simulations for specific geophysical model have been carried out and results are presented through multiple plots to analyze the impact of incident angle, dimensionless layer width, sliding parameter, and corrugated boundary on resultant velocity profile and RT coefficients. The energy flux ratios of all regularly and irregularly propagating waves are also analyzed and portrayed against angle of incidence (AOI). Reflection and transmission angle for all the quasi-waves are found monotonically increasing with rise in incident angle. Waves and material parameters are found to have different impact on resultant velocity and RT coefficients. Simulation also reveals the effect of two extrema of sliding parameter corresponding to welded and free contact on RT coefficients. The coefficients obtained by first-order approximation to corrugation are found to have proportional impact of corrugation amplitude.

Tài liệu tham khảo

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