Exponential Relationship for Larger Catchments Calculator

✖Coefficient β in Logarithmic Transformation reduces or removes the skewness of our original data.ⓘ Coefficient β [β]			+10% -10%
✖Rainfall is measured here is the annual rainfall in a particular year.ⓘ Rainfall [P]			+10% -10%
✖Coefficient m in Logarithmic Transformation which reduces or removes the skewness of our original data.ⓘ Coefficient m [m]			+10% -10%

✖Runoff is usually measured is either seasonal measured or annual measured.ⓘ Exponential Relationship for Larger Catchments [R]

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Exponential Relationship for Larger Catchments

Formula

`"R" = "β"*"P"^"m"`

Example

`"14.60758cm"="4"*("75cm")^"0.3"`

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Download Rainfall-Runoff Correlation and Strange's Tables Formulas PDF PDF Image

Exponential Relationship for Larger Catchments Solution

STEP 0: Pre-Calculation Summary

Formula Used

Runoff = Coefficient β*Rainfall^Coefficient m
R = β*P^m
This formula uses 4 Variables

Variables Used

Runoff - (Measured in Centimeter) - Runoff is usually measured is either seasonal measured or annual measured.
Coefficient β - Coefficient β in Logarithmic Transformation reduces or removes the skewness of our original data.
Rainfall - (Measured in Centimeter) - Rainfall is measured here is the annual rainfall in a particular year.
Coefficient m - Coefficient m in Logarithmic Transformation which reduces or removes the skewness of our original data.

STEP 1: Convert Input(s) to Base Unit

Coefficient β: 4 --> No Conversion Required
Rainfall: 75 Centimeter --> 75 Centimeter No Conversion Required
Coefficient m: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = β*P^m --> 4*75^0.3

Evaluating ... ...

R = 14.6075832591065

STEP 3: Convert Result to Output's Unit

0.146075832591065 Meter -->14.6075832591065 Centimeter (Check conversion here)

FINAL ANSWER

14.6075832591065 ≈ 14.60758 Centimeter <-- Runoff

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Engineering Hydrology » Runoff » Runoff Volume » Rainfall-Runoff Correlation and Strange's Tables » Rainfall-Runoff Correlation » Exponential Relationship for Larger Catchments

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< 9 Rainfall-Runoff Correlation Calculators

Annual Precipitation in (i-2)th year given Antecedent Precipitation

Go Precipitation in (i-2)th Year = (Antecedent Precipitation Index-Coefficient 'a'*Precipitation in (i)th Year-Coefficient 'b'*Precipitation in (i-1)th Year)/Coefficient 'c'

Annual Precipitation in (i-1)th year given Antecedent Precipitation

Go Precipitation in (i-1)th Year = (Antecedent Precipitation Index-Coefficient 'a'*Precipitation in (i)th Year-Coefficient 'c'*Precipitation in (i-2)th Year)/Coefficient 'b'

Annual Precipitation in i-th year given Antecedent Precipitation

Go Precipitation in (i)th Year = (Antecedent Precipitation Index-Coefficient 'b'*Precipitation in (i-1)th Year-Coefficient 'c'*Precipitation in (i-2)th Year)/Coefficient 'a'

Antecedent Precipitation Index

Go Antecedent Precipitation Index = Coefficient 'a'*Precipitation in (i)th Year+Coefficient 'b'*Precipitation in (i-1)th Year+Coefficient 'c'*Precipitation in (i-2)th Year

Runoff Rainfall Regression by Logarithmic Transformation

Go Runoff = Coefficient m*exp(ln(Rainfall))+exp(ln(Coefficient β))

Precipitation using Runoff in Straight Line Regression between Runoff and Rainfall

Go Rainfall = (Runoff-(Coefficient 'B' in Straight-line Regression))/Coefficient 'a'

Equation of Straight-line Regression between Runoff and Rainfall

Go Runoff = Coefficient 'a'*Rainfall+(Coefficient 'B' in Straight-line Regression)

Precipitation using Runoff from Exponential Relationship

Go Rainfall = (Runoff/Coefficient β)^(1/Coefficient m)

Exponential Relationship for Larger Catchments

Go Runoff = Coefficient β*Rainfall^Coefficient m

Exponential Relationship for Larger Catchments Formula

Runoff = Coefficient β*Rainfall^Coefficient m
R = β*P^m

What is Regression Analysis?

Regression Analysis is used to identify factors governing flood generation and routing, and to predict flow volumes and flood peaks as functions of rainfall input and antecedent wetness.

What is Runoff?

Runoff can be described as the part of the water cycle that flows over land as surface water instead of being absorbed into groundwater or evaporating. According to the U.S. Geological Survey (USGS), runoff is that part of the precipitation, snow melt, or irrigation water that appears in uncontrolled surface streams, rivers, drains, or sewers.

How to Calculate Exponential Relationship for Larger Catchments?

Exponential Relationship for Larger Catchments calculator uses Runoff = Coefficient β*Rainfall^Coefficient m to calculate the Runoff, The Exponential Relationship for Larger Catchments formula is defined as the exponential model that has been proven valid in many catchments to determine runoff. Runoff is denoted by R symbol.

How to calculate Exponential Relationship for Larger Catchments using this online calculator? To use this online calculator for Exponential Relationship for Larger Catchments, enter Coefficient β (β), Rainfall (P) & Coefficient m (m) and hit the calculate button. Here is how the Exponential Relationship for Larger Catchments calculation can be explained with given input values -> 1460.758 = 4*0.75^0.3.

FAQ

What is Exponential Relationship for Larger Catchments?

The Exponential Relationship for Larger Catchments formula is defined as the exponential model that has been proven valid in many catchments to determine runoff and is represented as R = β*P^m or Runoff = Coefficient β*Rainfall^Coefficient m. Coefficient β in Logarithmic Transformation reduces or removes the skewness of our original data, Rainfall is measured here is the annual rainfall in a particular year & Coefficient m in Logarithmic Transformation which reduces or removes the skewness of our original data.

How to calculate Exponential Relationship for Larger Catchments?

The Exponential Relationship for Larger Catchments formula is defined as the exponential model that has been proven valid in many catchments to determine runoff is calculated using Runoff = Coefficient β*Rainfall^Coefficient m. To calculate Exponential Relationship for Larger Catchments, you need Coefficient β (β), Rainfall (P) & Coefficient m (m). With our tool, you need to enter the respective value for Coefficient β, Rainfall & Coefficient m 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 Runoff?

In this formula, Runoff uses Coefficient β, Rainfall & Coefficient m. We can use 2 other way(s) to calculate the same, which is/are as follows -

Runoff = Coefficient 'a'*Rainfall+(Coefficient 'B' in Straight-line Regression)
Runoff = Coefficient m*exp(ln(Rainfall))+exp(ln(Coefficient β))

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