Question

The coefficient of permeability of a soil in x and y direction is
2.3x10 cm/sec and 1.8x10-3 cm/sec. Given the equivalent
permeability for a 3-D flow is 1.94x10 cm/sec, estimate the
permeability of soil in z direction.
A)2.03x10- cm/sec
B)1.76x10-cm/sec
C)2.11x10-3 cm/sec
D)1.71x10- cm/sec​

Answer 1

Answer:

it22469085421123

Explanation:

223567996422998821123467890009987765433211234567736e366352552628329028263636366355156282786654334455568iy666666666665666

Answer 2

The correct question is : The coefficient of permeability of a soil in x and y direction is  2.3x10⁻³ cm/sec and 1.8x10⁻³ cm/sec. Given the equivalent  permeability for a 3-D flow is 1.94x10⁻³ cm/sec, estimate the  permeability of soil in z direction.

Given :

kx = 2.3*10⁻³ cm/sec

ky = 1.8*10⁻³ cm/sec

keq = 1.94*10⁻³ cm/sec

To find :

Coefficient of permeability of a soil in z direction.

Solution :

Consider thickness of soil sample in x , y and z directions be H.

Parallel system

keq = ∑ ki zi

           ∑zi

1.94*10⁻³ = (2.3*10⁻³*H) + (1.8*10⁻³*H) + (kz*H)

                                   3H

1.94*10⁻³ = 2.3*10⁻³ + 1.8*10⁻³ + kz

                                  3

kz = (1.94*10⁻³)*3 - (2.3*10⁻³ +1.8*10⁻³)

kz = 5.82*10⁻³ - 4.1*10⁻³

kz = 1.72*10⁻³ cm/sec

Therefore, the coefficient of permeability of a soil in z direction is 1.72*10⁻³ cm/sec.