Seepage Velocity

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

tortuosity 2Seepage velocity, abbreviated as \(v_s\), represent the actual velocity of a fluid flowing through the void spaces in the soil.

 

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Seepage Velocity formulas

\(\large{ v_s = \frac{ v \; A_c}{ A_v}   }\)   
\(\large{ v_s = \frac{ v}{ n}  }\)   

Where:

 Units English Metric
\(\large{ v_s }\) = seepage velocity \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)
\(\large{ A_c }\) = area cross-section of flow \(\large{ft^2}\) \(\large{m^2}\)
\(\large{ A_v }\) = area cross-section of voids \(\large{ft^2}\) \(\large{m^2}\)
\(\large{ v }\) = darcy velocity or flux \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)
\(\large{ n }\) = porosity \(\large{ dimensionless }\)

Solve For:

\(\large{ v = \frac{ v_s \; A_v }{ A_c }   }\)   
\(\large{ A_c = \frac{ v_s \; A_v }{ v }   }\)   
\(\large{ A_v = \frac{ v \; A_c }{ v_s }   }\)   
\(\large{ v = v_s \; n   }\)   
\(\large{ n = \frac{ v }{ v_s }   }\)   

 

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Tags: Velocity Equations Soil Equations