A semi-empirical relationship for the small-strain shear modulus of soft clays

Abstract

The small-strain shear modulus (Gmax) is a soil property that has many practical applications. The authors compiled a database of Gmax measurements for 40 normally consolidated to slightly overconsolidated low to high plasticity clays. Using these data, the authors propose a semi-empirical relationship between Gmax, effective stress (σ'v or σ'c), preconsolidation stress (σ'p) and in-situ void ratio (e0) for four ranges of plasticity index (Ip): Ip < 30%, 30% ≤ Ip < 50%, 50% ≤ Ip < 80% and 80% ≤ Ip < 120%. With results from bender element tests on a Gulf of Mexico clay subjected to multiple load-unload consolidation loops, the authors were able to validate the proposed relationships for 30% ≤ Ip < 50% and 50% ≤ Ip < 80%. The proposed relationship for 30% ≤ Ip < 50% and 50% ≤ Ip < 80% captures changes in laboratory Gmax resulting from variations in effective stress (σ'c), maximum past stress (σ'v,max), and void ratio. The proposed relationships are a simple and efficient tool that can provide independent insight on Gmax if the stress history of a clay is known, or on stress history if Gmax is known.

Ultrasonic Interrogation of Oil Sands Tailings during Sedimentation

“…Therefore, comprehensive studies of the Gmax have been conducted in the early 1970's, leading to the development of the resonant column apparatus (Hardin & Richart, 1963). Past studies have found that the small Gmax is mainly related to the effective stress and void ratio (Taukoor et al, 2019;Santamarine et al, 2001;Mitchell and Soga 2005).…”