GEOS 5120 – Principles of Hydrogeology Homework #5 Two lakes in direct communication with the ground water flow system are separated by a distance L of 5 km. The stages of Lake 1 and Lake 2 are 500 m and 350 meters, respectively, which correspond to h1 and h2 in the figure below. Hydraulic tests of the silty-fine sand unconfined aquifer between the two lakes yield an average hydraulic conductivity value of 1.0×10-7 m/s. Annual precipitation and evapotranspiration in the region averages 550 mm/yr and 400 mm/yr, respectively. 1. Compute the distance d [m] to the ground water divide. 2. Compute the elevation of the water table divide hmax [m]. 3. Graph the water table profile [m] from Lake 1 to Lake 2 with at least 7 points, including the water table divide and stages of Lakes 1 and 2. 4. Compute ground water discharge per unit width Q’x [m2/s] along Lake 1 and Lake 2, and explain what the sign convention implies for each discharge component. 5. Head in a confined sand and gravel aquifer with K = 10-3 m/s varies in an east-west direction from 50 m to 40 m over a distance of 1 km. Graph the potentiometric surface (head) profile [m] using each well as end points using at least seven points. Explain how the head profile in this problem differs from the head profile in Question 3. 6. Compute the total volume of water released from storage for: (a) A 20 m thick confined aquifer with an effective head drop of 2 m over an area of 100 m2 and a specific storage of 10-6 m-1. (b) A 20 m thick unconfined aquifer with an effective head drop of 2 m over an area of 100 m2 and specific yield of 0.15. Assume specific storage of 10-6 m-1.
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