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Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different...

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Unit Hydrograph A unit hydrograph is defined as the hydrograph of direct runoff resulting from one unit depth (1cm) of rainfall excess occurring uniformly over the basin and at a uniform rate for a specified duration (D hours).
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Page 1: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and

Unit Hydrograph A unit hydrograph is defined as the hydrograph of direct runoff resulting

from one unit depth (1cm) of rainfall excess occurring uniformly over the basin and at a uniform rate for a specified duration (D hours).

Page 2: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and

Two basic assumptions of unit hydrograph

(i) the time invariance

(ii) the linear response

Page 3: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and
Page 4: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and
Page 5: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and
Page 6: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and
Page 7: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and
Page 8: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and

Application of unit hydrograph using the basic principles of the unit hydrograph, one can easily calculate

the DRH in a catchment due to a given storm if an appropriate unit hydrograph was available

Page 9: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and
Page 10: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and
Page 11: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and

Derivation of Unit Hydrograph

Page 12: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and
Page 13: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and
Page 14: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and
Page 15: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and
Page 16: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and

Unit hydrograph of Different Durations

Two methods are available for this purpose

(i) Method of superposition, and

(ii) the S – curve

(i) Method of Superposition

If a D – h unit hydrograph is available, and it is desired to

develop a unit hydrograph of nD h, where n is an integer.

Page 17: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and
Page 18: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and
Page 19: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and
Page 20: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and
Page 21: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and

(ii) The S – Curve

If it is desired to develop a unit hydrograph of duration mD, where m

is a fraction, the method of superposition cannot be used.

Ordinates (SA – SB) = T h DRH of (1/D x T) cm ER

UH – T h = (ordinates of DRH)/ (1/D x T)

Page 22: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and
Page 23: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and
Page 24: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and

Example 6.10 – Solve example 6.9 by the S – curve method.

Solution:

Page 25: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and
Page 26: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and

Solution:

Page 27: Unit Hydrograph - University of Asia Pacific · 2011. 5. 14. · Unit hydrograph of Different Durations Two methods are available for this purpose (i) Method of superposition, and

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