Problem $24\mathrm{.}23$

Calculate the flow of leachate through a composite liner with a $0\mathrm{.}75m$ thick compacted clay layer over an HDPE geomembrane. The clay has a hydraulic conductivity of ${10}^{-9}\frac{m}{s}$ and the HDPE membrane is $1\mathrm{.}5mm$ thick. The height of liquid above the geomembrane is $0\mathrm{.}2m.$ Give the answer for expected operating conditions first and then give a more conservative estimate for sizing the leachate pumping system.

Solution $24\mathrm{.}23$

$q=\frac{a^{0\mathrm{.}1}{k}^{0\mathrm{.}88}{h}_{w}A}{170000}$