Abstract
The dynamic response of a circular footing experiencing oscillatory vertical motion on the surface of a liquid-filled, porous, elastic half-space is reduced to the solution of a Fredholm integral equation of the second kind. Frequency-dependent impedance functions, for a medium consisting of dense sand saturated by ground water, are computed and shown graphically to reveal the influence of dissipation of pore water and variations in the permeability coefficient and Poisson's ratio of the medium. The presence of gound water in the elastic medium affects the magnitude and character of the influence functions over the frequency range of practical interest and should be included in determining the response of surface structures to dynamic loadings.
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