Question

An aquifer has three different formations. Formation A has a thickness of 22 ft and a hydraulic conductivity of 17.0 ft/d. Formation B has a thickness of 3.5 ft and hydraulic conductivity of 99 ft/d. Formation C has a thickness of 26 ft and hydraulic conductivity of 22 ft/d. Assume that each formation is isotropic and homogeneous. Compute both the overall horizontal and vertical conductivities.

Answer 1

`k_h=25.09\ ft/d`

`k_v=20.5ft/d`

Step-by-step explanation:

Given that

h₁= 22 ft ,k₁= 17 ft/d

h₂= 3.5 ft, k₂=99 ft/d

h₃=26 ft ,k₃=22 ft/d

Horizontal conductivity

`k_h=(k_1h_1+k_2h_2+k_3h_3)/(h_1+h_2+h_3)`

Now by putting the values

`k_h=(17* 22+3.5* 99+26* 22)/(22+3.5+26)\ ft/d`

`k_h=25.09\ ft/d`

Vertical conductivity

`k_v=(h_1+h_2+h_3)/((h_1)/(k_1)+(h_2)/(k_2)+(h_3)/(k_3))`

`k_v=(22+3.5+26)/((22)/(17)+(3.5)/(99)+(26)/(22))\ ft/d`

`k_v=20.5ft/d`