To determine the time it takes for groundwater to flow a distance of 1500 ft, we first calculate the hydraulic gradient and the soil's porosity. The hydraulic gradient, calculated from the depths to water in the two wells and their distance apart, is approximately 0.012. The porosity of the soil, determined from the volume of water it can hold, is about 0.2424.

Using Darcy's Law, the groundwater velocity is found to be approximately 2.91 ft/day. Therefore, it would take about 515.63 days for groundwater to travel 1500 ft under these conditions.

good work but wrong

here was my math for it

18-16.5=1.5
1.5ft/125ft= .012hg

32ml/100ml=.32p

time= distance / velocity

velocity = kl/m

1,00ft/day*.012/.32= 37.5 ft/day

1500ft/37.5ft/day=40 days

hg = hydraulic gradient
p = porosity

It seems you used 32 mL / 100 mL, but the correct calculation is 32 mL / (100 mL + 32 mL).

So, it would take approximately 515.63 days for groundwater to travel 1500 ft under these conditions. The key difference in our calculations lies in the computation of porosity.

no, 100ml is the total space not the taken space.

how old are you?

porosity is volume open/ volume total which is 32/100 😅 which equal .32 not .2424

You are correct. The porosity calculation should indeed be the volume of water that can be held by the soil (the open volume) divided by the total volume of the soil sample. So if 32 mL of water fills the voids in a 100 mL soil sample, the porosity (p) does come out to 0.32.

With the corrected porosity value of 0.32, the groundwater velocity is approximately 3.84 ft/day. Therefore, it would take about 390.63 days for groundwater to travel 1500 ft under these conditions. This is closer to your calculation, but with a slightly different result due to the slightly different velocity calculation.

no, no, no.

1000ft/day * .012 / .32 = 37.5

1500ft / 37.5ft/day=40 days