Catchment Area given Peak Discharge of Unit Hydrograph Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Catchment = Peak Discharge*Basin Lag/(2.78*Regional Constant (Snyder))
A = Qp*tp/(2.78*Cp)
This formula uses 4 Variables
Variables Used
Area of Catchment - (Measured in Square Kilometer) - Area of catchment is the area from which rain flows into a particular river or lake.
Peak Discharge - (Measured in Cubic Meter per Second) - Peak Discharge is the maximum volume flow rate passing a particular location during an event.
Basin Lag - (Measured in Hour) - Basin Lag is the elapsed time between the occurrences of the centroids of the effective rainfall.
Regional Constant (Snyder) - Regional Constant (Snyder) is considered an indication of the retention and storage capacity of the watershed.
STEP 1: Convert Input(s) to Base Unit
Peak Discharge: 0.891 Cubic Meter per Second --> 0.891 Cubic Meter per Second No Conversion Required
Basin Lag: 6 Hour --> 6 Hour No Conversion Required
Regional Constant (Snyder): 0.6 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = Qp*tp/(2.78*Cp) --> 0.891*6/(2.78*0.6)
Evaluating ... ...
A = 3.20503597122302
STEP 3: Convert Result to Output's Unit
3205035.97122302 Square Meter -->3.20503597122302 Square Kilometer (Check conversion here)
FINAL ANSWER
3.20503597122302 3.205036 Square Kilometer <-- Area of Catchment
(Calculation completed in 00.020 seconds)

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25 Synder's Synthetic- Unit Hydrograph Calculators

Distance along Main Water Course from Gauging Station to Watershed
Go Distance along Main Water Course = (Basin Lag/Basin Constant/(Length of Basin/sqrt(Basin Slope))^Basin Constant 'n')^1/Basin Constant 'n'
Basin Length Measured along Water Course given Modified Equation for Basin Lag
Go Basin Length = (Basin Lag/Basin Constant)^(1/Basin Constant 'n')*(sqrt(Basin Slope)/Distance along Main Water Course)
Modified Equation for Basin Lag
Go Basin Lag = Basin Constant*(Length of Basin*Distance along Main Water Course/sqrt(Basin Slope))^Basin Constant 'n'
Basin Slope given Basin Lag
Go Basin Slope = ((Basin Length*Distance along Main Water Course)/((Basin Lag/Basin Constant)^(1/Basin Constant 'n')))^2
Basin Lag given Modified Basin Lag for Effective Duration
Go Basin Lag = (4*Modified Basin Lag+Standard Duration of Effective Rainfall-Non-standard rainfall duration)/4
Standard Duration of Effective Rainfall given Modified Basin Lag
Go Standard Duration of Effective Rainfall = Non-standard rainfall duration-4*(Modified Basin Lag-Basin Lag)
Modified Equation for Basin Lag for Effective Duration
Go Modified Basin Lag = Basin Lag+(Non-standard rainfall duration-Standard Duration of Effective Rainfall)/4
Equation for Catchment Parameter
Go Catchment Parameter = Length of Basin*Watershed Length/sqrt(Basin Slope)
Distance along Main Water Course from Gauging Station given Basin Lag
Go Distance along Main Water Course = ((Basin Lag/Regional Constant)^(1/0.3))*(1/Basin Length)
Regional Constant given Peak Discharge for Nonstandard Effective Rainfall
Go Regional Constant (Snyder) = Peak Discharge*Modified Basin Lag/(2.78*Area of Catchment)
Basin Length Measured along Water Course given Basin Lag
Go Basin Length = (Basin Lag/Regional Constant)^1/0.3*(1/Distance along Main Water Course)
Peak Discharge for Nonstandard Effective Rainfall
Go Peak Discharge = 2.78*Regional Constant (Snyder)*Area of Catchment/Modified Basin Lag
Regional Constant representing Watershed Slope and Storage Effects
Go Regional Constant = Basin Lag/(Length of Basin*Distance along Main Water Course)^0.3
Snyder's Equation
Go Basin Lag = Regional Constant*(Length of Basin*Distance along Main Water Course)^0.3
Catchment Area given Peak Discharge for Nonstandard Effective Rainfall
Go Area of Catchment = Peak Discharge*Modified Basin Lag/(2.78*Regional Constant)
Catchment Area given Peak Discharge of Unit Hydrograph
Go Area of Catchment = Peak Discharge*Basin Lag/(2.78*Regional Constant (Snyder))
Modified Basin Lag given Peak Discharge for Nonstandard Effective Rainfall
Go Modified Basin Lag = 2.78*Regional Constant*Area of Catchment/Peak Discharge
Snyder's Equation for Peak Discharge
Go Peak Discharge = 2.78*Regional Constant (Snyder)*Area of Catchment/Basin Lag
Basin Lag given Peak Discharge
Go Basin Lag = 2.78*Regional Constant (Snyder)*Area of Catchment/Peak Discharge
Regional Constant given Peak Discharge
Go Regional Constant = Peak Discharge*Basin Lag/2.78*Catchment Area
Basin Lag given Modified Basin Lag
Go Basin Lag = (Modified Basin Lag-(Non-standard rainfall duration/4))/(21/22)
Non-Standard Rainfall Duration given Modified Basin Lag
Go Non-standard rainfall duration = (Modified Basin Lag-(21/22)*Basin Lag)*4
Modified Basin Lag for Effective Duration
Go Modified Basin Lag = (21*Basin Lag/22)+(Non-standard rainfall duration/4)
Snyder's Equation for Standard Duration of Effective Rainfall
Go Standard Duration of Effective Rainfall = Basin Lag/5.5
Basin Lag given Standard Duration of Effective Rainfall
Go Basin Lag = 5.5*Standard Duration of Effective Rainfall

Catchment Area given Peak Discharge of Unit Hydrograph Formula

Area of Catchment = Peak Discharge*Basin Lag/(2.78*Regional Constant (Snyder))
A = Qp*tp/(2.78*Cp)

What is Lag Time in hydrology?

The Lag time is the delay between the maximum rainfall amount and the peak discharge. The shape of a hydrograph varies in each river basin and each storm event. This increases lag time. The peak discharge is also lower as it takes water longer to reach the river channel.

What is the Catchment Area of a river?

A water catchment (commonly referred to as a “watershed”) is an area of land where all water flows to a single stream, river, lake or even ocean. Natural boundaries of water catchments can be very small for a single creek or stream or quite large—the Colorado River basin for example.

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

Catchment Area given Peak Discharge of Unit Hydrograph calculator uses Area of Catchment = Peak Discharge*Basin Lag/(2.78*Regional Constant (Snyder)) to calculate the Area of Catchment, The Catchment Area given Peak Discharge of Unit Hydrograph formula is defined as the area where water is collected by the natural landscape. Imagine cupping your hands in a downpour of rain and collecting water in them. Area of Catchment is denoted by A symbol.

How to calculate Catchment Area given Peak Discharge of Unit Hydrograph using this online calculator? To use this online calculator for Catchment Area given Peak Discharge of Unit Hydrograph, enter Peak Discharge (Qp), Basin Lag (tp) & Regional Constant (Snyder) (Cp) and hit the calculate button. Here is how the Catchment Area given Peak Discharge of Unit Hydrograph calculation can be explained with given input values -> 3.2E-6 = 0.891*21600/(2.78*0.6).

FAQ

What is Catchment Area given Peak Discharge of Unit Hydrograph?
The Catchment Area given Peak Discharge of Unit Hydrograph formula is defined as the area where water is collected by the natural landscape. Imagine cupping your hands in a downpour of rain and collecting water in them and is represented as A = Qp*tp/(2.78*Cp) or Area of Catchment = Peak Discharge*Basin Lag/(2.78*Regional Constant (Snyder)). Peak Discharge is the maximum volume flow rate passing a particular location during an event, Basin Lag is the elapsed time between the occurrences of the centroids of the effective rainfall & Regional Constant (Snyder) is considered an indication of the retention and storage capacity of the watershed.
How to calculate Catchment Area given Peak Discharge of Unit Hydrograph?
The Catchment Area given Peak Discharge of Unit Hydrograph formula is defined as the area where water is collected by the natural landscape. Imagine cupping your hands in a downpour of rain and collecting water in them is calculated using Area of Catchment = Peak Discharge*Basin Lag/(2.78*Regional Constant (Snyder)). To calculate Catchment Area given Peak Discharge of Unit Hydrograph, you need Peak Discharge (Qp), Basin Lag (tp) & Regional Constant (Snyder) (Cp). With our tool, you need to enter the respective value for Peak Discharge, Basin Lag & Regional Constant (Snyder) 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, Basin Lag & Regional Constant (Snyder). We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Area of Catchment = Peak Discharge*Modified Basin Lag/(2.78*Regional Constant)
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