Use the Green-Ampt method to evaluate the infiltration rate and cumulative infiltration depth of a silty clay soil at 0.1 hour increments up to 6 hours from the beginning of infiltration. Assume initial effective saturation 20 percent and continuous ponding.

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Determine the head loss for a clean filter bed using the Carman-Kozeny equation for a stratified bed with uniform porosity of 0.40. The rapid sand filter is made up of a 760 mm deep bed of sand, specific gravity of 2.65, shape factor (4) = 0.80, temperature of 10°C, and filtration rate of 1.70 liters per second per square meter (Lpsm²). A sieve analysis is presented below. Sieve # (1) 14-20 20-28 28-32 32-35 35-42 42-48 48-60 60-65 65-100 % Sand retained (Xij) (2) 0.44 14.33 43.22 27.07 9.76 4.22 0.54 0.29 0.13 100 dij (m x 10-4) (3) 10.0060 7.111 5.422 4.572 3.834 3.225 2.707 2.274 1.777

Q1)A storm water retention pond following a 4-hour rainfall event with 2-in accumulation. The contributing watershed area is 20 acres, of which 2 acres in the pond. The pond has a rectangular geometry. The initial depth of water in the pond is 5 ft. The soil of the watershed on average is pasture type in good condition. The pond drains by infiltration through the bottom (fully effective) and sides of the pond at the rate of 2 in/hr. The effective area for infiltration through the sides of the pond is 2000 ft. What is the depth of water in the pond 12 hr after rainfall ends? Assume runoff has ended by this time?