Catchment Area given Peak Discharge of D-h Unit Hydrograph Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Catchment = (Peak discharge of a D-h Unit hydrograph/1.79)^(4/3)
A = (Qpd/1.79)^(4/3)
This formula uses 2 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.
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (Qpd/1.79)^(4/3) --> (129031/1.79)^(4/3)
Evaluating ... ...
A = 3000000.83889826
STEP 3: Convert Result to Output's Unit
3000000.83889826 Square Meter -->3.00000083889826 Square Kilometer (Check conversion here)
FINAL ANSWER
3.00000083889826 3.000001 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 Peak Discharge of D-h Unit Hydrograph Formula

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

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.

What is D-h Unit Hydrograph?

The unit hydrograph represents the lumped response of the catchment to a unit rainfall excess of D-h duration to produce a direct runoff hydrograph. It relates only the direct runoff to rainfall excess. Hence the volume of water contained in the unit hydrograph must be equal to the rainfall excess.

How to Calculate Catchment Area given Peak Discharge of D-h Unit Hydrograph?

Catchment Area given Peak Discharge of D-h Unit Hydrograph calculator uses Area of Catchment = (Peak discharge of a D-h Unit hydrograph/1.79)^(4/3) to calculate the Area of Catchment, The Catchment Area given Peak Discharge of D-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 Peak Discharge of D-h Unit Hydrograph using this online calculator? To use this online calculator for Catchment Area given Peak Discharge of D-h Unit Hydrograph, enter Peak discharge of a D-h Unit hydrograph (Qpd) and hit the calculate button. Here is how the Catchment Area given Peak Discharge of D-h Unit Hydrograph calculation can be explained with given input values -> 3E-6 = (129031/1.79)^(4/3).

FAQ

What is Catchment Area given Peak Discharge of D-h Unit Hydrograph?
The Catchment Area given Peak Discharge of D-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 = (Qpd/1.79)^(4/3) or Area of Catchment = (Peak discharge of a D-h Unit hydrograph/1.79)^(4/3). Peak discharge of a D-h Unit hydrograph is the maximum volume flow rate displays in a unit hydrograph.
How to calculate Catchment Area given Peak Discharge of D-h Unit Hydrograph?
The Catchment Area given Peak Discharge of D-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/1.79)^(4/3). To calculate Catchment Area given Peak Discharge of D-h Unit Hydrograph, you need Peak discharge of a D-h Unit hydrograph (Qpd). With our tool, you need to enter the respective value for Peak discharge of a D-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. 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/(37.4*Weighted Mean Slope^(2/3)))^(4/3)
  • Area of Catchment = Peak discharge of a D-h Unit hydrograph*(Lag Time of a 1-h Unit Hydrograph/1.56)^(1/0.9)
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