Shear-wave polarizations on a curved wavefront at an isotropic free surface

TLDR

The study presents polarization diagrams of particle motions at the free surface of an isotropic half‑space generated by shear waves from a local buried point source. Synthetic seismograms were generated via the reflectivity technique and used to plot particle motions over varying epicentral distances, frequencies, polarization angles, Poisson’s ratios, and surface‑layer properties, enabling discrimination between isotropic and anisotropic interpretations. Curved wavefronts generate a local SP‑phase that precedes the direct S‑wave, producing cruciform particle motions that can mimic anisotropy, with the SP‑phase amplitude amplified by low‑velocity surface layers and dominating radial records, and reliable source‑path information is obtainable only within a narrow epicentral distance range.

Abstract

We present polarization diagrams of the particle motions at the free surface of an isotropic half-space generated by incident shear waves from a local buried point source. The reflectivity technique is used to calculate synthetic seismograms from which the particle motions are plotted. The particle motions are examined over a range of epicentral distances in a uniform isotropic half-space for different source frequencies and polarization angles, and for different Poisson's ratios. The particle motions due to a curved wavefront possess different characteristics from those generated by plane wavefronts at corresponding incidence angles. A curved wavefront generates a local SP-phase: a P-headwave which propagates along the free surface, and arrives shortly before the direct S-wave. These two arrivals give rise to cruciform particle motions in the sagittal and horizontal planes, which could be misinterpreted as anisotropy-induced shear-wave splitting. An examination of the particle motion in the transverse plane, mutually orthogonal to the sagittal and horizontal planes, can be used to discriminate between isotropic and anisotropic interpretations. The amplitude of the SP-phase is enhanced when it propagates in a low-velocity surface layer overlying the source layer, and may then become the dominant phase on radial-component seismograms. The presence of even a single surface layer may introduce considerable complexity into the seismogram, and we examine the effects of layer thickness, velocity contrast, and source depth on the corresponding polarization diagrams. Reliable information on the source and propagation path characteristics of shear waves from a buried local point source can only be obtained from free-surface records if they are recorded within a very limited epicentral distance range.