$3.$ Flow Net

Lake$\_$Pond$\_$FlowNet.pdf

A horizontal confined aquifer with constant $10-$m thickness is fully penetrated by a lake on the West and a pond in the Northeast corner, as shown in the PDF above. The aquifer's hydraulic conductivity is $\backslash (2\backslash$times $10^\{-6\}\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )($isotropic$,$ homogeneous$).$ All cross$-$hatching indicates impervious boundaries. Flow is $2-$D in $\backslash ($ x $\backslash )$ and $\backslash ($ y $\backslash )($West$-$East and SouthNorth$)$; no flow occurs in the vertical direction in the aquifer.

$($a$)$ Draw a plan$-$view flow net fully describing the distribution of potentiometric head, $\backslash ($ h$($x$,$ y$)\backslash )$ and streamlines. Label the equipotentials. $($Do not attempt to draw the flow net on the cross$-$section view.$)$ Notes: It is probably a good idea to start with sketching the flow lines, then place the equipotentials; the number of head drops $("\backslash ($ f $\backslash )\text{'}$ in our notation$)$ and the number of streamlines $("\backslash ($ p $\backslash )")$ are not necessarily equal. Make it as good as you can in a maximum of $\backslash (\backslash$sim $2\backslash )$ hour.

Here is a larger version of the plan view alone, in JPG format $($right$-$click to download full$-$size$)$:

You may print the PDF or JPEG and draw on it$,$ draw on it digitally using your tablet, or import to PowerPoint or drawing software.

I'll post copies of the PDF on my door $($EGR $1180)$ in case you'd like hard$-$copy and don't have a printer.

If you use inscribed circles to construct and check your flow net, you may include that working copy in your submission, but also provide a final version without the circles.

Using your flow net, even if it's not perfect,

$($b$)$ Estimate the total flow to the pond $($NE corner$)$ in cubic meters per day.

$($c$)$ What is the head $($in meters$)$ at the $*$ in the center of the aquifer?