An Analytical Solution of Wave Motion in a Transversely Isotropic Poroelastic Half-Space Underlying a Liquid Layer

Document Type : Technical Notes


1 Civil engineering, Engineering faculty, University of Tehran, Tehran, Iran

2 Assistant Professor, Faculty of Engineering Sciences, College of Engineering, University of Tehran, Tehran, Iran.

3 Civil Engineering, Engineering Faculty, University of Tehran, Tehran, Iran

4 American Society of Civil Engineers


In this paper, an analytical method is developed for the axisymmetric dynamic response of a finite thickness liquid layer overlying a transversely isotropic porous solid half-space due to body waves. Potential functions and integral transforms are used together to handle the equations of wave motion in two media. The time-harmonic excitation with axisymmetric shape is assumed to be distributed in the interface of liquid and porous media. Green’s functions of stress and displacement are derived as closed-form integral expressions. Demonstration of the effect of the liquid thickness, degree of material anisotropy, and frequency of excitation on the dynamic response is considered here. Numerical results for a uniform distributed disk load are comprised with the existing elastic and poroelastic solutions to illustrate the quality of the method. The results of the current paper can be used in analysis and modelling the rigid or flexible foundations in marine structures.


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