(10 points) An aquifer has four different units. Unit A has a thickness of 12.3

Question

(10 points) An aquifer has four different units. Unit A has a thickness of 12.3 m and the hydraulic conductivity is 2.4 m/day. Unit B has a thickness of 0.9 m and the hydraulic conductivity is 120 m/day. Unit C has a thickness of 7.2 m and the hydraulic conductivity is 4.3 m/day and unit D has a thickness of 23 m and the hydraulic conductivity is 23 m/day. Assume that each formation is isotropic and homogeneous. 3. a. (5 points) Compute the mean horizontal hydraulic conductivity b. (5 points) Compute the mean vertical hydraulic conductivity

Explanation / Answer

a. computation of Mean horizontal hydraulic conductivity: Formula: Kh = (K1t1 + K2 t2 + K3 t3 + K4 t4 ) / H t is the thiclkness of aquifer H is the total thickness of aquifer. Applying all the given data, Kh = [(2.4 x 12.3) + (0.9 x 120) + (7.2 x 4.3) + (23 x 23)] / (12.3+0.9+7.2+23) =16.07 m/day b.. computation of Mean vertical hydraulic conductivity: formula: Kv = (t1 + t2 + t3 + t4 )/[ ( t1 / K1) + (t2/K2) + (t3/K3) + (t4/K4)] =(12.3+0.9+7.2+23) / [(12.3/2.4) +(0.9/120) + (7.2/4.3)+(23/23)] = 43.4 /(5.125 + 0.0075 +1.67+1) =43.4/7.8025 5.56 m/day

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