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GATE-2012 Geology Section (26), Calculate the hydraulic conductivity(in m/day).

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26) Specific discharge of 1 cm per day is observed in a porous medium where hydraulic head difference is 0.5 m and the flow length is 20 m. calculate the hydraulic conductivity(in m/day).

 (Thanks to Chandrasekhar, ANU)

Solution:

 The specific discharge can be defined as

\frac{Q}{A}=K \frac{dh}{dl}------------------(1)

 Where \frac{Q}{A} is the specific discharge = 1 cm per day

                                                                   = 0.01 m per day

 dh is the hydraulic head difference = 0.5 m

dl is the flow length = 20 m

K is the hydraulic conductivity =?

Therefore by substituting all the given values in the equation (1)

\frac{Q}{A}=K \frac{dh}{dl}

 

0.01=K \frac{0.5}{20}

 

K =\frac{0.01 \times 20}{0.5}

 

K = 0.4 meter per day

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2 comments

  1. hii sir ,in this problem given 20 m ,but you are take 20 cm , i think typing mistake pl correct it sir.

    ReplyDelete

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