Catchment Area given Lag Time of 1-h Unit Hydrograph Calculator

✖Peak discharge of a D-h Unit hydrograph is the maximum volume flow rate displays in a unit hydrograph.ⓘ Peak discharge of a D-h Unit hydrograph [Q_pd]			+10% -10%
✖Lag Time of a 1-h Unit Hydrograph is the time interval from the midpoint of the rainfall excess to the peak.ⓘ Lag Time of a 1-h Unit Hydrograph [T_p1]			+10% -10%

✖Area of catchment is the area from which rain flows into a particular river or lake.ⓘ Catchment Area given Lag Time of 1-h Unit Hydrograph [A]

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Formula

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Catchment Area given Lag Time of 1-h Unit Hydrograph

Formula

`"A" = "Q"_{"pd"}*("T"_{"p1"}/1.56)^(1/0.9)`

Example

`"3.000068km²"="129031m³/s"*("26.48h"/1.56)^(1/0.9)`

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Catchment Area given Lag Time of 1-h Unit Hydrograph Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Catchment = Peak discharge of a D-h Unit hydrograph*(Lag Time of a 1-h Unit Hydrograph/1.56)^(1/0.9)
A = Q_pd*(T_p1/1.56)^(1/0.9)
This formula uses 3 Variables

Variables Used

Area of Catchment - (Measured in Square Meter) - Area of catchment is the area from which rain flows into a particular river or lake.
Peak discharge of a D-h Unit hydrograph - (Measured in Cubic Meter per Second) - Peak discharge of a D-h Unit hydrograph is the maximum volume flow rate displays in a unit hydrograph.
Lag Time of a 1-h Unit Hydrograph - (Measured in Hour) - Lag Time of a 1-h Unit Hydrograph is the time interval from the midpoint of the rainfall excess to the peak.

STEP 1: Convert Input(s) to Base Unit

Peak discharge of a D-h Unit hydrograph: 129031 Cubic Meter per Second --> 129031 Cubic Meter per Second No Conversion Required
Lag Time of a 1-h Unit Hydrograph: 26.48 Hour --> 26.48 Hour No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = Q_pd*(T_p1/1.56)^(1/0.9) --> 129031*(26.48/1.56)^(1/0.9)

Evaluating ... ...

A = 3000068.38722797

STEP 3: Convert Result to Output's Unit

3000068.38722797 Square Meter -->3.00006838722797 Square Kilometer (Check conversion here)

FINAL ANSWER

3.00006838722797 ≈ 3.000068 Square Kilometer <-- Area of Catchment

(Calculation completed in 00.004 seconds)

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Peak Discharge of D-h Unit Hydrograph given Lag Time

Go Peak discharge of a D-h Unit hydrograph = (Area of Catchment)*(1.56/Lag Time of a 1-h Unit Hydrograph)^(1/0.9)

Catchment Area given Lag Time of 1-h Unit Hydrograph

Go Area of Catchment = Peak discharge of a D-h Unit hydrograph*(Lag Time of a 1-h Unit Hydrograph/1.56)^(1/0.9)

Lag Time of 1-h Unit Hydrograph

Go Lag Time of a 1-h Unit Hydrograph = 1.56/((Peak discharge of a D-h Unit hydrograph/Area of Catchment)^0.9)

Catchment Area for Peak Discharge of Weighted Mean Slope Lesser than 0.0028

Go Area of Catchment = (Peak discharge of a D-h Unit hydrograph/(37.4*Weighted Mean Slope^(2/3)))^(4/3)

Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph

Go Weighted Mean Slope = (Peak discharge of a D-h Unit hydrograph/(37.4*Area of Catchment^(3/4)))^(3/2)

Peak Discharge of D-h Unit Hydrograph for Weighted Mean Slope Lesser than 0.0028

Go Peak discharge of a D-h Unit hydrograph = 37.4*Area of Catchment^(3/4)*Weighted Mean Slope^(2/3)

Lag Time of 1-h Unit Hydrograph given Duration of Rainfall Excess

Go Lag Time of a 1-h Unit Hydrograph = Duration of Excess Rainfall in Hours/1.1

Duration of Rainfall Excess

Go Duration of Excess Rainfall in Hours = 1.1*Lag Time of a 1-h Unit Hydrograph

Catchment Area given Peak Discharge of D-h Unit Hydrograph

Go Area of Catchment = (Peak discharge of a D-h Unit hydrograph/1.79)^(4/3)

Peak Discharge of D-h Unit Hydrograph

Go Peak discharge of a D-h Unit hydrograph = 1.79*Area of Catchment^(3/4)

Catchment Area given Lag Time of 1-h Unit Hydrograph Formula

Area of Catchment = Peak discharge of a D-h Unit hydrograph*(Lag Time of a 1-h Unit Hydrograph/1.56)^(1/0.9)
A = Q_pd*(T_p1/1.56)^(1/0.9)

What is meant by Unit Hydrograph?

Unit Hydrograph is the hydrograph that results from unit excess rainfall uniformly over the watershed at a uniform rate during a given period of time. Unit hydrographs assume uniform distribution of rainfall over the catchment and uniform intensity during the duration of rainfall excess.

What is Basin lag?

Basin lag time, defined as the elapsed time between the occurrences of the centroids of the effective rainfall and of the storm runoff hydrograph, is an important factor in determining the time to peak of the unit hydrograph and the intensity of peak discharge.

How to Calculate Catchment Area given Lag Time of 1-h Unit Hydrograph?

Catchment Area given Lag Time of 1-h Unit Hydrograph calculator uses Area of Catchment = Peak discharge of a D-h Unit hydrograph*(Lag Time of a 1-h Unit Hydrograph/1.56)^(1/0.9) to calculate the Area of Catchment, The Catchment Area given Lag Time of 1-h Unit Hydrograph formula is defined as the area of land where all of the precipitation that falls, less the water lost to evaporation and deep aquifer recharge, eventually flows to a single outlet. Area of Catchment is denoted by A symbol.

How to calculate Catchment Area given Lag Time of 1-h Unit Hydrograph using this online calculator? To use this online calculator for Catchment Area given Lag Time of 1-h Unit Hydrograph, enter Peak discharge of a D-h Unit hydrograph (Q_pd) & Lag Time of a 1-h Unit Hydrograph (T_p1) and hit the calculate button. Here is how the Catchment Area given Lag Time of 1-h Unit Hydrograph calculation can be explained with given input values -> 3E-6 = 129031*(95328/1.56)^(1/0.9).

FAQ

What is Catchment Area given Lag Time of 1-h Unit Hydrograph?

The Catchment Area given Lag Time of 1-h Unit Hydrograph formula is defined as the area of land where all of the precipitation that falls, less the water lost to evaporation and deep aquifer recharge, eventually flows to a single outlet and is represented as A = Q_pd*(T_p1/1.56)^(1/0.9) or Area of Catchment = Peak discharge of a D-h Unit hydrograph*(Lag Time of a 1-h Unit Hydrograph/1.56)^(1/0.9). Peak discharge of a D-h Unit hydrograph is the maximum volume flow rate displays in a unit hydrograph & Lag Time of a 1-h Unit Hydrograph is the time interval from the midpoint of the rainfall excess to the peak.

How to calculate Catchment Area given Lag Time of 1-h Unit Hydrograph?

The Catchment Area given Lag Time of 1-h Unit Hydrograph formula is defined as the area of land where all of the precipitation that falls, less the water lost to evaporation and deep aquifer recharge, eventually flows to a single outlet is calculated using Area of Catchment = Peak discharge of a D-h Unit hydrograph*(Lag Time of a 1-h Unit Hydrograph/1.56)^(1/0.9). To calculate Catchment Area given Lag Time of 1-h Unit Hydrograph, you need Peak discharge of a D-h Unit hydrograph (Q_pd) & Lag Time of a 1-h Unit Hydrograph (T_p1). With our tool, you need to enter the respective value for Peak discharge of a D-h Unit hydrograph & Lag Time of a 1-h Unit Hydrograph and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Area of Catchment?

In this formula, Area of Catchment uses Peak discharge of a D-h Unit hydrograph & Lag Time of a 1-h Unit Hydrograph. We can use 2 other way(s) to calculate the same, which is/are as follows -

Area of Catchment = (Peak discharge of a D-h Unit hydrograph/1.79)^(4/3)
Area of Catchment = (Peak discharge of a D-h Unit hydrograph/(37.4*Weighted Mean Slope^(2/3)))^(4/3)

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