Problem $3$: A reservoir with a $35,000f{t}^2$ area is underlain by layers of stratified soils as shown in the

figure below.

Sand Layer

Horizontal Drainage

Impermeable Layer

$($a$)$ Estimate the average coefficient of permeability in the horizontal direction $(k_x)$

$($b$)$ Estimate the average coefficient of permeability in the vertical direction $(k_y)$

$($c$)$ Compute the water loss from the reservoir in $1$ year. Assume that the water is only flowing down

from the reservoir into the sand layer. Additionally, assume that the pore pressure at the bottom sand layer

is zero $($i$.$e$.,$ the sand layer is at atmospheric pressure$).$