›› 2004, Vol. 25 ›› Issue (12): 1867-1872.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

An analytical solution for diffraction of plane P-waves by cylindrical cavity in a fluid-saturated porous media semi-space

LI Wei-hua，ZHAO Cheng-gang   

  1. School of Civil Engineering and Architecture, Beiling Jiaotong University, Beijing 100044, China
  • Received:2003-07-11 Online:2004-12-10 Published:2014-08-19

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Abstract: On the basis of Biot dynamic theory, the dynamic response of cylindrical cavities to incident P waves is investigated. An analytic solution is derived for a cavity embedded within a fluid-saturated porous media semi-space for the first time in this paper. The waves scattered by the cavity and semt-space are expressed in the term of wave potentials and expended in Fourier-Bessel series, and the coefficients in the wave functions are determined to satisfy the boundary conditions. By using the solutions of the potentials, the expressions of the displacements and stresses can be obtained. Numerical results are given and the dynamical stress concentration factor on the surface of the cavity that are presented shows that the results depend on the angle of incidence, the dimensionless frequency of the incident P wave.

Key words: saturated soil, plane P waves, cylindrical cavity, scattering and diffraction, analytical solution

CLC Number: 

  • O348.1
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