Example Problem- Advective Flux Leachate Level (Constant) ? 30cm Benzene Concent

Question

Example Problem- Advective Flux Leachate Level (Constant) ? 30cm Benzene Concentration in leachate- 10 mg/L Compacted Clay Liner (CCL) k 10 cm/s 60cm GW Flow Aquifer 1. Estimate the advective mass flux of benzene into the aquifer (assume no adscrption) 1. If the thickness of the CCL is doubled, how would the flux be affected? 2. If the leachate head is doubled, how would it affect the flux? 3. Estimate the breakthrough or transit time for benzene if the effective porosity of the CCL is 0.3 4/13/2013 C?E520 Solid Waste Management

Explanation / Answer

Advective mass flux = f = n. vs. C = V x C

concentration given = 10^-2 mg/cm3 , velocity V = k i = 10^-7 x (90/60) = 1.5 x 10^-7 cm/s
f = 1.5 x 10^-9 mg/s/m2

2. if the thickness is doubled => i = 150 / 120 = 5/4 = 1.25
f = 10^-2 x  1.25 x 10^-7
f = 1.25 x 10^-9 mg/s/cm2

3. if the leachate head is doubled => i = 120/60 = 2
f = 10^-2 x  2 x 10^-7
f = 2 x 10^-9 mg/s

4. transit time = 60/ seepage velocity = 60xn / v = 60 x .3 / 1.5 x 10^-7 = 1.2 x 10^7 seconds

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