Question

A small island on the seacoast has an area of 24.6 km2 (9.5 mi2). Because of extensive development of vacation homes, infiltration, which was 15% for the island in its natural state, was reduced to 8% after construction. The annual rainfall for the island averages 76 cm (30 in)

. a. What is the maximum annual safe withdrawal of water for the island in acre-ft, m3, ft3, and gallons if no depletion of the groundwater is to occur?

b. How many tourists can this island support assuming the water consumption is 581.3 liters/person/ day (150 gal/person/day)? Calculate this in tourists/week and in tourists/yr.

c. How many tourists/km2 (tourists/mi2) does this maximum number of tourists involve?

d. If the water table on the island is lowered 2.5 cm (1 in) by over pumping, how much water does this represent? What percent increase over the maximum allowable “safe” number of tourists/yr does this represent?

e. If the water table is lowered 2.5 cm (1 in), how much higher is the freshwater-saltwater interface raised?

Answer 1

The volume of water infiltrated can be calculated by multiplying the percentage of water infiltrated to the volume of island and then this volume can be converted into different units as shown below:

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