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Calculate the seepage velocity through the soil liner for effective porosities o

ID: 489926 • Letter: C

Question

Calculate the seepage velocity through the soil liner for effective porosities of n = 0.30, n = 0.20, n = 0.15. Calculate the advective mass flux of chloride through the compacted clay portion of the design standard liner for porosity (n) = 0.3 if chloride has a concentration of 1500 mg/L in the Ieachate in the leachate collection system. For the clay portion of the design standard liner, what is the total mass of chloride (assuming 1500 mg/L in leachate) that would leak over a 500 hectare cell in a single year assuming no flexible membrane is present?

Explanation / Answer

(C): Givent the hydraulic conductivity, K = 10-7 (unit is missing, use proper unit)

and hydraulic gradient, I = 3 ft

The formulae for seepage velocity is, Vgw = K*I / n

when n = 0.30,   Vgw = K*I / n = 10-7 unit x 3 ft / 0.30 (answer)

when n = 0.20,   Vgw = K*I / n = 10-7 unit x 3 ft / 0.20 (answer)

when n = 0.15,   Vgw = K*I / n = 10-7 unit x 3 ft / 0.15 (answer)

(D): When n = 0.30, Vgw = K*I / n = 10-7 unit x 3 ft / 0.30

concentration, C = 1500 mg/L

The formulae for advective mass flux is

JA = n*Vgw*C = 0.30 x [10-7 (unit) x 3 ft / 0.30] x 1500 mg/L

Note: To make the final calculation and the final answer the unit of Hydraulic conductivity (10-7) is required.

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