Modified Equation for Basin Lag Calculator

✖Basin Constant to determine the base lag with respect to basin slope.ⓘ Basin Constant [C_rL]			+10% -10%
✖Length of Basin or length of the drainage basin in kilometres.ⓘ Length of Basin [L_b]			+10% -10%
✖Distance along Main Water Course from the gauging station to a point opposite to the watershed centroid in km.ⓘ Distance along Main Water Course [L_ca]			+10% -10%
✖Basin Slope of the catchment under consideration.ⓘ Basin Slope [S_B]			+10% -10%
✖Basin Constant 'n' to determine the base lag with respect to basin slope.ⓘ Basin Constant 'n' [n_B]			+10% -10%

✖Basin Lag is the elapsed time between the occurrences of the centroids of the effective rainfall.ⓘ Modified Equation for Basin Lag [t_p]

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Formula

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Modified Equation for Basin Lag

Formula

`"t"_{"p"} = "C"_{"rL"}*("L"_{"b"}*"L"_{"ca"}/sqrt("S"_{"B"}))^"n"_{"B"}`

Example

`"0.036313h"="1.03"*("30m"*"12.0km"/sqrt("1.1"))^"0.38"`

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Download Synder's Synthetic- Unit Hydrograph Formulas PDF

Modified Equation for Basin Lag Solution

STEP 0: Pre-Calculation Summary

Formula Used

Basin Lag = Basin Constant*(Length of Basin*Distance along Main Water Course/sqrt(Basin Slope))^Basin Constant 'n'
t_p = C_rL*(L_b*L_ca/sqrt(S_B))^n_B
This formula uses 1 Functions, 6 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Basin Lag - (Measured in Second) - Basin Lag is the elapsed time between the occurrences of the centroids of the effective rainfall.
Basin Constant - Basin Constant to determine the base lag with respect to basin slope.
Length of Basin - (Measured in Meter) - Length of Basin or length of the drainage basin in kilometres.
Distance along Main Water Course - (Measured in Meter) - Distance along Main Water Course from the gauging station to a point opposite to the watershed centroid in km.
Basin Slope - Basin Slope of the catchment under consideration.
Basin Constant 'n' - Basin Constant 'n' to determine the base lag with respect to basin slope.

STEP 1: Convert Input(s) to Base Unit

Basin Constant: 1.03 --> No Conversion Required
Length of Basin: 30 Meter --> 30 Meter No Conversion Required
Distance along Main Water Course: 12 Kilometer --> 12000 Meter (Check conversion here)
Basin Slope: 1.1 --> No Conversion Required
Basin Constant 'n': 0.38 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_p = C_rL*(L_b*L_ca/sqrt(S_B))^n_B --> 1.03*(30*12000/sqrt(1.1))^0.38

Evaluating ... ...

t_p = 130.72768328481

STEP 3: Convert Result to Output's Unit

130.72768328481 Second -->0.0363132453568916 Hour (Check conversion here)

FINAL ANSWER

0.0363132453568916 ≈ 0.036313 Hour <-- Basin Lag

(Calculation completed in 00.004 seconds)

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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

Modified Equation for Basin Lag Formula

Basin Lag = Basin Constant*(Length of Basin*Distance along Main Water Course/sqrt(Basin Slope))^Basin Constant 'n'
t_p = C_rL*(L_b*L_ca/sqrt(S_B))^n_B

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 Modified Equation for Basin Lag?

Modified Equation for Basin Lag calculator uses Basin Lag = Basin Constant*(Length of Basin*Distance along Main Water Course/sqrt(Basin Slope))^Basin Constant 'n' to calculate the Basin Lag, The Modified Equation for Basin Lag formula is defined as the modified elapsed time between the occurrences of the centroids of the effective rainfall. Basin Lag is denoted by t_p symbol.

How to calculate Modified Equation for Basin Lag using this online calculator? To use this online calculator for Modified Equation for Basin Lag, enter Basin Constant (C_rL), Length of Basin (L_b), Distance along Main Water Course (L_ca), Basin Slope (S_B) & Basin Constant 'n' (n_B) and hit the calculate button. Here is how the Modified Equation for Basin Lag calculation can be explained with given input values -> 1E-5 = 1.03*(30*12000/sqrt(1.1))^0.38.

FAQ

What is Modified Equation for Basin Lag?

The Modified Equation for Basin Lag formula is defined as the modified elapsed time between the occurrences of the centroids of the effective rainfall and is represented as t_p = C_rL*(L_b*L_ca/sqrt(S_B))^n_B or Basin Lag = Basin Constant*(Length of Basin*Distance along Main Water Course/sqrt(Basin Slope))^Basin Constant 'n'. Basin Constant to determine the base lag with respect to basin slope, Length of Basin or length of the drainage basin in kilometres, Distance along Main Water Course from the gauging station to a point opposite to the watershed centroid in km, Basin Slope of the catchment under consideration & Basin Constant 'n' to determine the base lag with respect to basin slope.

How to calculate Modified Equation for Basin Lag?

The Modified Equation for Basin Lag formula is defined as the modified elapsed time between the occurrences of the centroids of the effective rainfall is calculated using Basin Lag = Basin Constant*(Length of Basin*Distance along Main Water Course/sqrt(Basin Slope))^Basin Constant 'n'. To calculate Modified Equation for Basin Lag, you need Basin Constant (C_rL), Length of Basin (L_b), Distance along Main Water Course (L_ca), Basin Slope (S_B) & Basin Constant 'n' (n_B). With our tool, you need to enter the respective value for Basin Constant, Length of Basin, Distance along Main Water Course, Basin Slope & Basin Constant 'n' 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 Basin Constant, Length of Basin, Distance along Main Water Course, Basin Slope & Basin Constant 'n'. 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 = 2.78*Regional Constant (Snyder)*Area of Catchment/Peak Discharge
Basin Lag = Regional Constant*(Length of Basin*Distance along Main Water Course)^0.3

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