$2\mathrm{.}0(20$ marks$)$

Given the flow net shown in Figure $2\mathrm{.}0,$ assume the hydraulic conductivity is $104c\frac{m}{s}.$ The sheet pile is $13$ m Long. The thickness of the soil layer is $10$ m and the sheet pile is driven halfway through the soil. A total head

difference of $6$ m of water separates both sides of the sheet pile.

Determine the following:

a$)$ What is the total head $($in meters$)$ at Point a$?$

b$)$ If the total head $($in meters$)$ at Point b is $15$ m $,$ what is the total head at Point c $?$

c$)$ What is the pressure on the sheet pile at Point e$?$

d$)$ What is the total head $($in meters$)$ at Point d$?$

e$)$ Compute the amount of flow under the sheet pile for its full length in units of cubic meters per day.

Figure $2\mathrm{.}0$