In‐plane vibrations of soil deposits with variable shear modulus: I. Surface waves

Abstract

Abstract The propagation characteristics of dispersive SV/P surface waves are analytically studied in a linear‐elastic, isotropic, compressible half‐space with constant mass density and Poisson's ratio and shear modulus increasing according to a continuous, bounded function of depth. Dispersion relations for the particular wave modes are evaluated over wide ranges of the parameters involved. Displacement profiles are presented for typical values of these parameters. Finally, an equivalent depth is given for use in connection with steady‐state vibration techniques for site investigation.