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Seismic Lexicon / Geotechnical Earthquake Engineering / Shear Wave Velocity
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Shear Wave Velocity

Vs

Definition

Shear wave velocity (Vs) is the speed at which shear waves propagate through soil or rock, determined by the material's shear modulus and density. It is the most fundamental parameter for characterizing the dynamic stiffness of a site and forms the basis for site classification in modern building codes.

Detailed Explanation

Shear wave velocity (Vs) is the speed at which shear waves β€” also called S-waves β€” propagate through a medium. It is determined by the material's shear modulus (G) and mass density (ρ) through the relationship Vs = √(G/ρ). In soils, Vs is closely related to the soil's stiffness, density, and state of stress: stiffer, denser, and more confined soils have higher Vs, while soft, loose, and shallow soils have lower Vs. Vs values range from around 100 m/s for soft clays and loose sands to over 1,500 m/s for hard rock and dense gravels, and over 3,000 m/s for intact crystalline bedrock.

Shear wave velocity is the single most important parameter for site characterization in earthquake engineering. It determines the impedance of the soil, and hence the impedance contrast with the underlying bedrock that drives site amplification. It controls the small-strain dynamic stiffness used in site response analysis and soil-structure interaction. It is the basis for the site classification systems used in modern building codes β€” ASCE 7 uses Vs30 (the time-averaged Vs over the top 30 meters) to classify sites into classes A through F; Eurocode 8 uses similar classes with slightly different boundaries; Standard 2800 of Iran uses four site classes (1 through 4) based on Vs and other parameters. Vs30 also appears directly in many ground motion prediction equations (GMPEs), making it a key input to probabilistic seismic hazard analysis.

Shear wave velocity is measured using a variety of field and laboratory methods. Invasive methods β€” downhole, crosshole, suspension logging, and seismic cone penetration tests (SCPT) β€” involve placing sensors in boreholes and measuring the travel time of shear waves between known depths, providing direct in-situ measurements with high resolution. Non-invasive methods β€” spectral analysis of surface waves (SASW), multi-channel analysis of surface waves (MASW), microtremor array methods, and refraction surveys β€” infer the Vs profile from surface measurements of wave propagation, and are increasingly popular because they are faster, cheaper, and less disruptive than borehole methods. Laboratory methods β€” resonant column and bender element tests β€” measure Vs on small samples under controlled stress states, though sample disturbance is a concern. Where direct measurements are unavailable, Vs can be estimated from correlations with SPT blow count, CPT tip resistance, or other index parameters β€” but these correlations have significant uncertainty and should not be used for critical projects. Modern practice increasingly combines multiple methods to reduce uncertainty and to cross-validate results. In Iran, Vs measurements are increasingly routine for important projects, though many sites still rely on SPT correlations.

Formula

Vs = √(G / ρ) [m/s]
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