Basin Lag given Peak Discharge Calculator

✖Regional Constant (Snyder) is considered an indication of the retention and storage capacity of the watershed.ⓘ Regional Constant (Snyder) [C_p]			+10% -10%
✖Area of catchment is the area from which rain flows into a particular river or lake.ⓘ Area of Catchment [A]			+10% -10%
✖Peak Discharge is the maximum volume flow rate passing a particular location during an event.ⓘ Peak Discharge [Q_p]			+10% -10%

✖Basin Lag is the elapsed time between the occurrences of the centroids of the effective rainfall.ⓘ Basin Lag given Peak Discharge [t_p]

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Formula

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Basin Lag given Peak Discharge

Formula

`"t"_{"p"} = 2.78*"C"_{"p"}*"A"/"Q"_{"p"}`

Example

`"5.616162h"=2.78*"0.6"*"3.00km²"/"0.891m³/s"`

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Download Synder's Synthetic- Unit Hydrograph Formulas PDF

Basin Lag given Peak Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Basin Lag = 2.78*Regional Constant (Snyder)*Area of Catchment/Peak Discharge
t_p = 2.78*C_p*A/Q_p
This formula uses 4 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Regional Constant (Snyder): 0.6 --> No Conversion Required
Area of Catchment: 3 Square Kilometer --> 3 Square Kilometer No Conversion Required
Peak Discharge: 0.891 Cubic Meter per Second --> 0.891 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_p = 2.78*C_p*A/Q_p --> 2.78*0.6*3/0.891

Evaluating ... ...

t_p = 5.61616161616162

STEP 3: Convert Result to Output's Unit

20218.1818181818 Second -->5.61616161616162 Hour (Check conversion here)

FINAL ANSWER

5.61616161616162 ≈ 5.616162 Hour <-- Basin Lag

(Calculation completed in 00.010 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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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

Basin Lag given Peak Discharge Formula

Basin Lag = 2.78*Regional Constant (Snyder)*Area of Catchment/Peak Discharge
t_p = 2.78*C_p*A/Q_p

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 individual storm event. ... This increases lag time. The peak discharge is also lower as it takes water longer to reach the river channel.

How to Calculate Basin Lag given Peak Discharge?

Basin Lag given Peak Discharge calculator uses Basin Lag = 2.78*Regional Constant (Snyder)*Area of Catchment/Peak Discharge to calculate the Basin Lag, The Basin Lag given Peak Discharge formula is defined as the elapsed time between the occurrences of the centroids of the effective rainfall and of the storm runoff hydrograph, which is an important factor in determining the time to peak of the unit. Basin Lag is denoted by t_p symbol.

How to calculate Basin Lag given Peak Discharge using this online calculator? To use this online calculator for Basin Lag given Peak Discharge, enter Regional Constant (Snyder) (C_p), Area of Catchment (A) & Peak Discharge (Q_p) and hit the calculate button. Here is how the Basin Lag given Peak Discharge calculation can be explained with given input values -> 0.00156 = 2.78*0.6*3000000/0.891.

FAQ

What is Basin Lag given Peak Discharge?

The Basin Lag given Peak Discharge formula is defined as the elapsed time between the occurrences of the centroids of the effective rainfall and of the storm runoff hydrograph, which is an important factor in determining the time to peak of the unit and is represented as t_p = 2.78*C_p*A/Q_p or Basin Lag = 2.78*Regional Constant (Snyder)*Area of Catchment/Peak Discharge. Regional Constant (Snyder) is considered an indication of the retention and storage capacity of the watershed, Area of catchment is the area from which rain flows into a particular river or lake & Peak Discharge is the maximum volume flow rate passing a particular location during an event.

How to calculate Basin Lag given Peak Discharge?

The Basin Lag given Peak Discharge formula is defined as the elapsed time between the occurrences of the centroids of the effective rainfall and of the storm runoff hydrograph, which is an important factor in determining the time to peak of the unit is calculated using Basin Lag = 2.78*Regional Constant (Snyder)*Area of Catchment/Peak Discharge. To calculate Basin Lag given Peak Discharge, you need Regional Constant (Snyder) (C_p), Area of Catchment (A) & Peak Discharge (Q_p). With our tool, you need to enter the respective value for Regional Constant (Snyder), Area of Catchment & Peak Discharge 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 Basin Lag?

In this formula, Basin Lag uses Regional Constant (Snyder), Area of Catchment & Peak Discharge. We can use 5 other way(s) to calculate the same, which is/are as follows -

Basin Lag = (Modified Basin Lag-(Non-standard rainfall duration/4))/(21/22)
Basin Lag = (4*Modified Basin Lag+Standard Duration of Effective Rainfall-Non-standard rainfall duration)/4
Basin Lag = 5.5*Standard Duration of Effective Rainfall
Basin Lag = Regional Constant*(Length of Basin*Distance along Main Water Course)^0.3
Basin Lag = Basin Constant*(Length of Basin*Distance along Main Water Course/sqrt(Basin Slope))^Basin Constant 'n'

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