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in Geotechnical Engineering I by (102k points)
Water is flowing at a rate of 0.04 m^3/s in a soil sample of 12m thick and cross section of 50m^2. The coefficient of permeability is 1.6*10^-3m/s. What will be the seepage force?

(a) 2943kN

(b) 3453kN

(c) 2454kN

(d) 2443kN

The question was posed to me by my college professor while I was bunking the class.

Origin of the question is Seepage Pressure and Upward Flow in section Seepage Analysis of Geotechnical Engineering I

1 Answer

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Best answer
Right answer is (a) 2943kN

Explanation: Given,

Discharge q=0.04 m^3/s

z=12m

Area A=50 m^2

coefficient of permeability k=1.6*10^-3m/s

the hydraulic gradient i is given by,

i=q/(kA)

i=0.04/(50*1.6*10^-3)

i=0.5

The seepage force J is given by,

J= iγwzA

J=0.5*12*9.81*50

∴ J=2943kN.

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