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11. Every summer you visit the same lake in Maine, and every summer the neighbor goes on and on about how the lake is "spring-fed" (groundwater discharges up into the lake bottom). You got to wondering if that was true, so you collected all the information you could from the local geological survey office about the lake hydrology for the month of June: . The surface area of the lake is 285 acres (115 ha). There is one inlet stream. For the month of June, the total dis- charge measured at a stream gage at the lake inlet was 2.77 × 107 ft3 (7.84 x 105 m³). There is one outlet stream. For the month of June, the total dis- charge measured at a stream gage at the lake outlet was 3.12 × 107 ft3 (8.83 x 105 m³). During the month of June, the total precipitation measured in a rain gage at the lakeshore was 1.63 inches (4.14 cm). Groundwater: The Big Picture " Direct evaporation off the lake surface totaled 3.47 inches (8.81 cm) during the month of June. The lake level dropped 4.30 inches (10.9 cm) during the month of June. (a) List the items that contribute flow into the lake, and items that contribute flow out of the lake (there may be unknown items I have not listed above). Write a hydrologic equation for the water balance of the lake in June. (b) Quantify each of the terms in the hydrologic equation in units of ft³ or m³ for the month of June, and solve for unknowns in the equation. (c) What, if anything, can you conclude about the notion that the lake is "spring-fed"? (d) What measurements would you make to prove whether or not groundwater is discharging up into the lake bottom? (Assume someone is willing to pay for it.)

11. Every summer you visit the same lake in Maine, and every summer the neighbor goes on and on about how the lake is "spring-fed" (groundwater discharges up into the lake bottom). You got to wondering if that was true, so you collected all the information you could from the local geological survey office about the lake hydrology for the month of June: . The surface area of the lake is 285 acres (115 ha). There is one inlet stream. For the month of June, the total dis- charge measured at a stream gage at the lake inlet was 2.77 × 107 ft3 (7.84 x 105 m³). There is one outlet stream. For the month of June, the total dis- charge measured at a stream gage at the lake outlet was 3.12 × 107 ft3 (8.83 x 105 m³). During the month of June, the total precipitation measured in a rain gage at the lakeshore was 1.63 inches (4.14 cm). Groundwater: The Big Picture " Direct evaporation off the lake surface totaled 3.47 inches (8.81 cm) during the month of June. The lake level dropped 4.30 inches (10.9 cm) during the month of June. (a) List the items that contribute flow into the lake, and items that contribute flow out of the lake (there may be unknown items I have not listed above). Write a hydrologic equation for the water balance of the lake in June. (b) Quantify each of the terms in the hydrologic equation in units of ft³ or m³ for the month of June, and solve for unknowns in the equation. (c) What, if anything, can you conclude about the notion that the lake is "spring-fed"? (d) What measurements would you make to prove whether or not groundwater is discharging up into the lake bottom? (Assume someone is willing to pay for it.)

Applications and Investigations in Earth Science (9th Edition)
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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II. *Every summer you visit the same lake in Maine, and every summer the neighbor goes on and on about how the lake is "spring-fed" (groundwater discharges up into the lake bottom). You got to wondering if that was true, so you collected all the information you could from the local geological survey office about the lake hydrology for the month of June: - The surface area of the lake is 285 acres (115 ha). There is one inlet stream. For the month of June, the total dis- charge measured at a stream gage at the lake inlet was 2.77 × 107 ft³ (7.84 x 105 m³). There is one outlet stream. For the month of June, the total dis- charge measured at a stream gage at the lake outlet was 3.12 × 107 ft3 (8.83 x 105 m³). During the month of June, the total precipitation measured in a rain gage at the lakeshore was 1.63 inches (4.14 cm). Groundwater: The Big Picture Direct evaporation off the lake surface totaled 3.47 inches (8.81 cm) during the month of June. The lake level dropped 4.30 inches (10.9 cm) during the month of June. (a) List the items that contribute flow into the lake, and items that contribute flow out of the lake (there may be unknown items I have not listed above). Write a hydrologic equation for the water balance of the lake in June. (b) Quantify each of the terms in the hydrologic equation in units of ft³ or m³ for the month of June, and solve for unknowns in the equation. (c) What, if anything, can you conclude about the notion that the lake is "spring-fed"? (d) What measurements would you make to prove whether or not groundwater is discharging up into the lake bottom? (Assume someone is willing to pay for it.)
Transcribed Image Text:II. *Every summer you visit the same lake in Maine, and every summer the neighbor goes on and on about how the lake is "spring-fed" (groundwater discharges up into the lake bottom). You got to wondering if that was true, so you collected all the information you could from the local geological survey office about the lake hydrology for the month of June: - The surface area of the lake is 285 acres (115 ha). There is one inlet stream. For the month of June, the total dis- charge measured at a stream gage at the lake inlet was 2.77 × 107 ft³ (7.84 x 105 m³). There is one outlet stream. For the month of June, the total dis- charge measured at a stream gage at the lake outlet was 3.12 × 107 ft3 (8.83 x 105 m³). During the month of June, the total precipitation measured in a rain gage at the lakeshore was 1.63 inches (4.14 cm). Groundwater: The Big Picture Direct evaporation off the lake surface totaled 3.47 inches (8.81 cm) during the month of June. The lake level dropped 4.30 inches (10.9 cm) during the month of June. (a) List the items that contribute flow into the lake, and items that contribute flow out of the lake (there may be unknown items I have not listed above). Write a hydrologic equation for the water balance of the lake in June. (b) Quantify each of the terms in the hydrologic equation in units of ft³ or m³ for the month of June, and solve for unknowns in the equation. (c) What, if anything, can you conclude about the notion that the lake is "spring-fed"? (d) What measurements would you make to prove whether or not groundwater is discharging up into the lake bottom? (Assume someone is willing to pay for it.)
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