Improved model for predicting the hydraulic conductivity of soils based on the Kozeny–Carman equation

Abstract

The saturated hydraulic conductivity of soils is a critical concept employed in basic calculation in the geotechnical engineering field. The Kozeny–Carman equation, as a well-known relationship between hydraulic conductivity and the properties of soils, is considered to apply to sands but not to clays. To solve this problem, a new formula was established based on Hagen–Poiseuille's law. To explain the influence on the seepage channel surface caused by the interaction of soil particles and partially viscous fluid, the surface area ratio was introduced. A modified framework for determining the hydraulic radius was also proposed. Next, the relationship between the effective void ratio and the total void ratio was established for deriving the correlation of hydraulic conductivity and total void ratio. The improved equation was validated using abundant experimental results from clays, silts, and sands. According to the results, the accuracies of the proposed model with two fitted multipliers for clays, silts, and sands are 94.6, 96.6, and 100%, respectively, but with only one fitted parameter, the accuracies are 97.1, 91.5, and 100%, respectively. The proposed model can be considered to have a satisfactory capability to predict hydraulic conductivity for a wide variety of soils, ranging from clays to sands. HIGHLIGHTS An improved model of the soil particle-water system was proposed.; The surface area ratio δ is introduced.; We establish an improved method for estimating the effective void ratio.; The relationship between LL and As for clay was established.; The correlation between the parameters C and the specific surface area of soils was established.;

Keywords

• effective void ratio
• hydraulic conductivity
• hydraulic radius
• soils
• specific surface
• surface area ratio