HW 12 Solutions

# HW 12 Solutions - 53:050 Natural Environmental Systems...

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53:050 Natural Environmental Systems Solutions to Homework No. 12 – Spring 2011 1. (a) Problem 9-39 in Davis and Masten. Linear velocity of water = v = 2.65 x 10 -7 m/s Linear velocity of compound = R v = 2.65 x 10 -7 /2.65 = 1.0 x 10 -7 m/s (b) How many days to travel a mile? 1 mile = 5,280 ft (1 m/3.281 ft) = 1,609 m time = 1,609 m/1 x 10 -7 m/s = 1,609 x 10 7 s = 186,227 d (510 yr) 2. Problem 7-10 in Davis and Masten. Darcy velocity = v = K l h = 50 m/d m 280 m 1.4 = 0.250 m/d Seepage velocity = v = η v = 0.250/0.20 = 1.25 m/d Travel time = m/d 1.25 m 280 = 224 days 3. Here we will use the technique described in our in-class examples. R = 1 + η ρ b K oc f oc Also, we know that K oc = 0.63K ow So, R = 1 + η ρ b (0.63K ow )f oc Contaminant velocity = R v (a) Groundwater velocity = v = 10 m 34 d = 0.294 m/d (b) Darcy velocity = v = v ′η = 0.294(0.4) = 0.118 m/d (c) v = K

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HW 12 Solutions - 53:050 Natural Environmental Systems...

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