Standard Duration of Effective Rainfall given Modified Basin Lag Calculator

✖Non-standard rainfall duration to derive modified basin lag.ⓘ Non-standard rainfall duration [t_R]			+10% -10%
✖Modified Basin Lag for an effective duration rainfall.ⓘ Modified Basin Lag [t'_p]			+10% -10%
✖Basin Lag is the elapsed time between the occurrences of the centroids of the effective rainfall.ⓘ Basin Lag [t_p]			+10% -10%

✖Standard Duration of Effective Rainfall as adopted by Snyder.ⓘ Standard Duration of Effective Rainfall given Modified Basin Lag [t_r]

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Formula

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Standard Duration of Effective Rainfall given Modified Basin Lag

Formula

`"t"_{"r"} = "t"_{"R"}-4*("t'"_{"p"}-"t"_{"p"})`

Example

`"1.12h"="2h"-4*("6.22h"-"6h")`

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Standard Duration of Effective Rainfall given Modified Basin Lag Solution

STEP 0: Pre-Calculation Summary

Formula Used

Standard Duration of Effective Rainfall = Non-standard rainfall duration-4*(Modified Basin Lag-Basin Lag)
t_r = t_R-4*(t'_p-t_p)
This formula uses 4 Variables

Variables Used

Standard Duration of Effective Rainfall - (Measured in Second) - Standard Duration of Effective Rainfall as adopted by Snyder.
Non-standard rainfall duration - (Measured in Second) - Non-standard rainfall duration to derive modified basin lag.
Modified Basin Lag - (Measured in Second) - Modified Basin Lag for an effective duration rainfall.
Basin Lag - (Measured in Second) - Basin Lag is the elapsed time between the occurrences of the centroids of the effective rainfall.

STEP 1: Convert Input(s) to Base Unit

Non-standard rainfall duration: 2 Hour --> 7200 Second (Check conversion here)
Modified Basin Lag: 6.22 Hour --> 22392 Second (Check conversion here)
Basin Lag: 6 Hour --> 21600 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_r = t_R-4*(t'_p-t_p) --> 7200-4*(22392-21600)

Evaluating ... ...

t_r = 4032

STEP 3: Convert Result to Output's Unit

4032 Second -->1.12 Hour (Check conversion here)

FINAL ANSWER

1.12 Hour <-- Standard Duration of Effective Rainfall

(Calculation completed in 00.004 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

Standard Duration of Effective Rainfall given Modified Basin Lag Formula

Standard Duration of Effective Rainfall = Non-standard rainfall duration-4*(Modified Basin Lag-Basin Lag)
t_r = t_R-4*(t'_p-t_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.

What is Baseflow?

Baseflow is a portion of streamflow that is not directly generated from the excess rainfall during a storm event. In other words, this is the flow that would exist in the stream without the contribution of direct runoff from the rainfall.

How to Calculate Standard Duration of Effective Rainfall given Modified Basin Lag?

Standard Duration of Effective Rainfall given Modified Basin Lag calculator uses Standard Duration of Effective Rainfall = Non-standard rainfall duration-4*(Modified Basin Lag-Basin Lag) to calculate the Standard Duration of Effective Rainfall, The Standard Duration of Effective Rainfall given Modified Basin Lag formula is defined as the total duration for precipitation to be equal to the difference between total rainfall and actual evapotranspiration. Standard Duration of Effective Rainfall is denoted by t_r symbol.

How to calculate Standard Duration of Effective Rainfall given Modified Basin Lag using this online calculator? To use this online calculator for Standard Duration of Effective Rainfall given Modified Basin Lag, enter Non-standard rainfall duration (t_R), Modified Basin Lag (t'_p) & Basin Lag (t_p) and hit the calculate button. Here is how the Standard Duration of Effective Rainfall given Modified Basin Lag calculation can be explained with given input values -> 0.000311 = 7200-4*(22392-21600).

FAQ

What is Standard Duration of Effective Rainfall given Modified Basin Lag?

The Standard Duration of Effective Rainfall given Modified Basin Lag formula is defined as the total duration for precipitation to be equal to the difference between total rainfall and actual evapotranspiration and is represented as t_r = t_R-4*(t'_p-t_p) or Standard Duration of Effective Rainfall = Non-standard rainfall duration-4*(Modified Basin Lag-Basin Lag). Non-standard rainfall duration to derive modified basin lag, Modified Basin Lag for an effective duration rainfall & Basin Lag is the elapsed time between the occurrences of the centroids of the effective rainfall.

How to calculate Standard Duration of Effective Rainfall given Modified Basin Lag?

The Standard Duration of Effective Rainfall given Modified Basin Lag formula is defined as the total duration for precipitation to be equal to the difference between total rainfall and actual evapotranspiration is calculated using Standard Duration of Effective Rainfall = Non-standard rainfall duration-4*(Modified Basin Lag-Basin Lag). To calculate Standard Duration of Effective Rainfall given Modified Basin Lag, you need Non-standard rainfall duration (t_R), Modified Basin Lag (t'_p) & Basin Lag (t_p). With our tool, you need to enter the respective value for Non-standard rainfall duration, Modified Basin Lag & Basin Lag 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 Standard Duration of Effective Rainfall?

In this formula, Standard Duration of Effective Rainfall uses Non-standard rainfall duration, Modified Basin Lag & Basin Lag. We can use 2 other way(s) to calculate the same, which is/are as follows -

Standard Duration of Effective Rainfall = Basin Lag/5.5
Standard Duration of Effective Rainfall = -(4*(Modified Basin Lag-Basin Lag)-Non-standard rainfall duration)

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