Relation water content ratio-to-liquidity index versus the Atterberg limits ratio evaluated with the Kaniadakis exponential law

Water content ratio (WCR) is defined as the ratio water content to liquid limit (LL) and it is proved to be a good replacer of the well-known parameter liquidity index (LI) to predict shear strength of fine-grained soils. An interesting correlation between the slope of LI and WCR and LL/PL ratio was observed. However, this trend is poorly described by conventional regression functions. By employing the Kaniadakis exponential law based on the relativistic mechanics, 22 data set, considering the LL/PL vs the slope of LI and WCR, were very-well matched.