Critical Hydraulic Gradient

Written by Jerry Ratzlaff on . Posted in Geotechnical Engineering

Critical hydraulic gradient, abbreviated as \(i_c\), is the change in height (pressure) to length between any two points.

 

Critical hydraulic gradient formulas

\(\large{ i_c =  \frac{ \gamma_{sub} }{ \gamma_w }  }\)   
\(\large{ i_c = \frac{ SG_s \;-\; 1 }{ 1 \;-\; e }   }\)  

Where:

 Units English Metric
\(\large{ i_c }\) = critical hydraulic gradient \(\large{ dimensionless }\)
\(\large{ \gamma_{sub} } \)  (Greek symbol gamma) = submerged unit weight \(\large{ lbm }\) \(\large{ N }\)
\(\large{  \gamma_w } \)  (Greek symbol gamma) = unit weight of water  \(\large{ \frac{lbm}{ft^3} }\) \(\large{ \frac{N}{m^3} }\)
\(\large{ SG_s }\) = specific gravity of soil \(\large{ dimensionless }\)
\(\large{ e }\) = void ratio \(\large{ dimensionless }\)

 

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Tags: Equations for Water Equations for Hydraulic Equations for Soil Equations for Geotechnical