Deriving Mathematical - Hydrologic Relationships:
The curve that relates among rainfall height, rainfall duration and return period is represented in the following exponential function in general.
(Figure 1):


Volume determination of storm water detention basins/ponds

substituting Eq. (10) into Equations (6) and (7) gives the required design volume (without considering runoff duration volume).

Flow determination (Qeffl.)
In detention basins / ponds where outflow is not regulated and fixed, but depends on water level at outlet, this outflow increases with the rise of water level. Then it would be important to find a relation between design (Qeffl.) and maximum flow (Qeffl. max).
In detention basins / ponds where outflow is not regulated and fixed, but depends on water level at outlet, this outflow increases with the rise of water level. Then it would be important to find a relation between design (Qeffl.) and maximum flow (Qeffl. max).
In basins / ponds with vertical walls (rectangular basins) and when the outflow (Qeffl.) is little in comparison with the inflow (Qinfl.), that leads to filling the detention basin with constant speed approximately, then the actual flow will be calculated with the following formula that represents storm overflow:

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Applied Examples:
Coastal region (Lattakia as an example)
With the assumption of the following data:
studied drainage area A = 50 hectare
impermeable area Ared. = 25 hectare
maximum flow Qeffl.max = 750 l/s
minimum flow Qeffl.min= 0 l/s
Time of concentration tf = 25 min
Design outflow:

Rainfall data: return period n = 2 years (Table 1):


It is noticeable here that with the increase of safety condition against flood risks from return period n = 2 years to n = 5 years, volume of required detention basin / pond increases accordingly
at a rate of 40%.
Arid or Semi - Arid region (Damascus as an example)
Rainfall data: return period n = 2 years (Tab. 2)

Rainfall data: return period n = 5 years (Tab. 2)

It has been found out that Damascus region does not need detention basins / ponds with volumes more than 7% to 8% from those needed for Lattakia region, within the design return period (n) of 2 to 5 years. This big difference in the detention basin volumes between the two regions
(arid and coastal) is due to the different meteorological data such as rainfall intensity, frequency, duration, season and run off pattern.
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