Question

The proposed dam shown in the figure is 90 m long and the coefficient of permeability of the soil is 0.0013 mm/second. The quantity of water $\left(m^3\right)$ that will be lost per day by seepage is (rounded to the nearest number):

• A. 55
• B. 57
• C. 59
• D. 61

Answer 1

The correct option is B 57

Given,

K = 0.0013 mm/second

= 0.11232 m/day

$H_L=9m$

$N_f=5$

$N_d=8$

We know that,

$q=K{H}_L\frac{N_f}{N_d}$

$=0.11232\times 9\times \frac{5}{8}$

$=0.6318\frac{m^3}{day}/m$

Total seepage loss,

$Q=q\times Lengthofdam$

$=0.6318\times 90$

$=56.862m^3/day$

Hence, the correct option is (b).