Question

A permeameter is used to measure the hydraulic conductivity of a porous medium. The permeameter is perfectly round in cross section, with a diameter of 40.0 mm. The following parameters are measured: 21 = 200.0 mm, 22 = 150.0 mm, P1/pg = 280.0 mm, P/pg = 200.0 mm, with L = 100.0 mm, and a discharge at the lower end of the column Q = 250.0 mm/min. What is the intrinsic permeability (k, in m?) of the porous medium?

Can someone please answer this question. Just to make it clear the question is asking for intrinsic permeability, k in m2. Thanks.

Answer 1

energy line P = 280 mm pg -d=40 mm - 200 mm pg L=100 mm Zi= 200 mm Ze = 150 mm DATUM 8 = 250.0 mm mim E,= 2, + Pi = 200 + 280 = 480 mm pg Eg=Zq+ - 150 + 200 = 350 mm pg h = E,-E₂ = 480-350 = 130 mm Darcy's Law, hL Q=KA coefficient of permeability > A> I d²

So, 250 = K. Ix 402 x 130 100 > K = 0.1530336 mm 20.1530336 m min sec 1000 x 60 But, p.g M K; -> intrinsic permeability. So, 0.1530336 60000 =k; 1000 X 9.81 8.90 X10-4 -13 K; =2.314 x 10 me