Applied Hydrogeology - Fetter - 4t Edition - Chapter 8 - Solutions

8.1 At a tropical coastal aquifer the ground water is stagnant. The density of fresh water is 0.998 g/cm³ and that of the underlying salt water is 1.024 g/cm³. If the fresh-water head is 14.2 ft above mean sea level, what is the depth to the salt-water interface?
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8.2 The fresh water at a coastal area has a density of 0.999 g/cm³, and the underlying saline water has a density of 1.025 g/cm³. If the fresh-water head is 3.75 m above mean sea level, what is the depth to the saltwater interface?
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8.3 A coastal aquifer has a mean hydraulic conductivity of 2.61 m/day. The density of fresh water is 1.000 g/cm³ and the density of underlying saline water is 1.024 g/cm³. The ground-water discharge per unit width of the coastline is 0.00345 m²/d.

(A) What is the depth to the salt-water interface at a point 125 m inland?
(B) What is the elevation of the water table above mean sea level at a point 125 m inland?
(C) What is the depth to the salt-water interface at the shoreline?
(D) What is the width of the outflow face?

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8.4 A coastal aquifer has a mean hydraulic conductivity of 4.15 m/d. The density of fresh water is 1.000 g/cm³ and the density of underlying saline water is 1.025 g/cm³. The ground-water discharge per unit width of the coastline is 0.0127 m²/d.

(A) What is the depth to the salt-water interface at a point 100 m inland?
(B) What is the elevation of the water table above mean sea level at a point 100 m inland?
(C) What is the depth to the salt-water interface at the shoreline?
(D) What is the width of the outflow face?

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8.5 The aquifer beneath a circular oceanic island has a mean hydraulic conductivity of 312 ft/d. The amount of recharge is 0.00831 ft/d. The density of fresh water is 1.000 g/cm³ and the density of underlying saline water is 1.024 g/cm³. If the island is 8715 ft in diameter, what is the depth to the salt-water interface in the center of the island?
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8.6 The aquifer beneath an infinite-strip oceanic island has a mean hydraulic conductivity of 312 ft/d. The amount of recharge is 0.00831 ft/d. The density of fresh water is 1.000 g/cm³ and the density of underlying saline water is 1.024 g/cm³. If the island is 8715 ft in width, what is the depth to the salt-water interface in the center of the island?
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