$2)$ Water content, head, and flow analysis in a profile $(/15)$

Consider a sandy soil with the unsaturated properties of the drying curves on the following page.

The elevation of the ground surface at a site of interest is $300$ cm $($your datum$).$

Draw, quantitatively $($with accurately labeled and scaled axes$),$ a set of vertical profiles of moisture content, pressure head, elevation head, and total hydraulic head versus depth for a $200-$cm deep profile under the following conditions:

The volumetric moisture content is $20\%$ throughout the profile

The pressure head is $-50$ cm throughout the profile

Which way $($if any$)$ is water flowing in a$)$ and b$)?$ Calculate the flow rate via Darcy$$s law for each profile.

Draw the set of vertical profiles of moisture content, pressure head, elevation head, and total hydraulic head versus depth for a $200-$cm deep profile for a profile with no vertical flow and a moisture content of $10\%$ at the top of the profile $($pick five points spaced equally with depth for the moisture contents$).$

$*$You will want to draw three different profiles $($one for a$,$ c$,$ and d$).$

$($a$)$

$($b$)$

Figure $2\mathrm{.}13$ Characteristic curves relating hydraulic conductivity and moisture content to pressure head for a naturally occurring sand soil $($after Liakopoulos, $1965$a$).$