# 6.5 Problem Set

- Water is ponded at a constant depth of 2.5 cm on a silt loam soil which had an initial water content of 0.15 cm
^{3}cm^{-3}. The water content of the wetted soil above the wetting front is 0.49 cm^{3}cm^{-3}, and the wetting front has a pressure head of -17 cm. The hydraulic conductivity of the wetted soil is 0.65 cm h^{-1}. Apply the Green-Ampt model for ponded infiltration to answer the following questions:- What is the infiltration rate (cm h
^{-1}) when the wetting front reaches a depth of 30. cm? - In total, how much water (cm) has infiltrated by that time?
- How long did it take (h) for the wetting front to reach that depth?

- What is the infiltration rate (cm h

- For that same soil with the same initial condition, consider the infiltration process for rainfall at a constant rate of 1.5 cm h
^{-1}. Use the Mein and Larson modification of the Green-Ampt model to answer the following:- How deep is the wetting front (cm) when ponding begins?
- In total, how much water (cm) has infiltrated by that time?
- How long did it take (h) before ponding occurred?

- Repeat problem 2 but this time use a hydraulic conductivity of 0.325 cm h
^{-1}, exactly half of the value used previously.- How deep is the wetting front (cm) when ponding begins?
- In total, how much water (cm) has infiltrated by that time?
- How long did it take (h) before ponding occurred?