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Infiltration Indices and Flood Wave

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HYDROLOGY

Infiltration indices

Asst. Lec. Ali Abdul-Hussein Abed


Fourth year
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Infiltration
Water entering the soil at the ground surface is called infiltration
Infiltration approach to Runoff estimation
The infiltration approach assumes the surface runoff from a given storm is
equal to the portion of the rainfall which is not disposed of through:
1. Interception and depression storage,
2. Evaporation during the storm, and
3. Infiltration.
Horton’s equation:

𝑓 = 𝑓𝑐 + (𝑓𝑜 – 𝑓𝑐 )𝑒 –𝑘𝑡
𝑓𝑜 − 𝑓𝑐
𝑘=
𝐹𝑐
Where,
f0 = initial rate of infiltration capacity
fc = final constant rate of infiltration at saturation
k = a constant depending primarily upon soil and vegetation
Fc = shaded area in Fig below.
t = time from beginning of the storm

Ali Abdul-Hussein Abed


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If items of Interception and evaporation are constant or insignificant, so there is one


concerned only with rainfall, infiltration and runoff.

Example: - For a given basin, the following are the infiltration capacity rates at various
time intervals after the beginning of the storm. Make a plot of the f-curve and establish
an equation of the form developed by Horton. Also determine the total rain and the
excess rain (runoff).

Ali Abdul-Hussein Abed


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Ali Abdul-Hussein Abed


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Infiltration Indexes (∅ − 𝒊𝒏𝒅𝒆𝒙):


That rate of rainfall above which the rainfall volume (depth) equals the runoff volume
(depth). ∅ − 𝑖𝑛𝑑𝑒𝑥 is relatively simple and all losses due to infiltration, interception
and depression storage (i.e., storage in pits and ponds) are accounted.
Estimates of runoff volume from large areas are sometimes made by the use of
infiltration indices, which assume a constant average infiltration rate during a storm,
although in actual practice the infiltration will be varying with time.

Ali Abdul-Hussein Abed


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Provided i > ∅ throughout the storm. The bar graph showing the time distribution of
rainfall, storm loss and rainfall excess (net rain or storm runoff) is called a hyetograph,
Fig. below. Thus, the ∅-index divides the rainfall into net rain and storm loss.

Example: given 𝑖 = 1.8 𝑐𝑚/ℎ𝑟 rainfall intensity and ∅ − 𝑖𝑛𝑑𝑒𝑥 = 0.6 𝑐𝑚/ℎ𝑟. Find
direct runoff of the basin.
Solution:

Example: Given DR = 1.3 cm required find ∅ − 𝑖𝑛𝑑𝑒𝑥 from the following data:
Time (hr.) 1 2 3 4 5 6
Precipitation 1.2 2.1 0.4 0.8 1.6 1.4
(cm/hr.)
Solution:

Ali Abdul-Hussein Abed


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Example: Find ∅ − 𝑖𝑛𝑑𝑒𝑥 for the following data which representing rainfall intensity
for a 1-hr Unit Hydrograph:
Time (hr.) 0-1 1-2 2-4 4-8
Rainfall intensity (mm/hr.) 5 9 8 3

Ali Abdul-Hussein Abed

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