Question $1$

$(15$ points$)$

Consider the system below. The silty sand has a saturated unit weight of $18k\frac{N}{m^3},$ and hydraulic conductivity of ${10}^{-6}\frac{m}{s}.$ The sandy gravel has saturated unit weight of $20k\frac{N}{m^3},$ and hydraulic conductivity of ${10}^{-3}\frac{m}{s}.$ The clay has a hydraulic conductivity of ${10}^{-9}\frac{m}{s}.$ Determine the maximum water height $(H)$ that the water on the left side of the wall can reach before "boiling" or "heave" is expected to occur on the right side of the wall.Please show steps