Hydraulic properties; applications of Darcy’s law Problem 9. [15 points; 5 point

Question

Hydraulic properties; applications of Darcy’s law

Problem 9. [15 points; 5 points each part] (a) A factory has been dumping chemical waste into an abandoned well (figure below). Calculate the specific discharge (q) through the system. If the chemical travels with the water velocity, estimate how long it will take to contaminate the lake h-124 m h 122 m LAKE K-8.25 m/d n 0.15 PLUME 500 m (b) Having finished the calculations in Problem 9, you discover that the aquifer is not homoge- neous, but it is composed of four layers (see figure). Redo the calculations from Problem 9. Discuss the similarities and/or differences between the two systems (consider the specific dis- charge and travel time) h-124 m h-122 m LAKE K,-10 m/d, n,-0.2 K2-2 m/d, n1:0.1 K,-1 m/d, n,-0.1 K4-20 m/d, n,-0.2 PLUME 500 m

Explanation / Answer

Answer- given = dh = h2-h1 = 124-122 = 2m

length L = 500

hydraulic conductivity K = 8.25m/day

porosity n = 0.15

flow rate Q= -kAdh/dl

= 8.25*2/500 = 0.033m/day

specfic discharge= 0.033/ 0.15 = 0.22m/day

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