Runoff to Determine Phi Index for Practical Use Calculator

✖Coefficient Depending on Soil Type influences the flow of water occurring on the ground surface when excess rainwater can no longer sufficiently rapidly infiltrate in the soil.ⓘ Coefficient Depending on Soil Type [α]			+10% -10%
✖Intensity of Rainfall is the ratio of the total amount of rain (rainfall depth) falling during a given period to the duration of the period.ⓘ Intensity of Rainfall [I]			+10% -10%

✖Runoff in Cm from 24h Rainfall of intensity in centimeters per hour (cm/hr).ⓘ Runoff to Determine Phi Index for Practical Use [R_24-h]

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Runoff to Determine Phi Index for Practical Use

Formula

`"R"_{"24-h"} = "α"*"I"^1.2`

Example

`"38.2541cm"="0.5"*("0.8cm/h")^1.2`

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Runoff to Determine Phi Index for Practical Use Solution

STEP 0: Pre-Calculation Summary

Formula Used

Runoff in Cm from 24h Rainfall = Coefficient Depending on Soil Type*Intensity of Rainfall^1.2
R_24-h = α*I^1.2
This formula uses 3 Variables

Variables Used

Runoff in Cm from 24h Rainfall - (Measured in Meter) - Runoff in Cm from 24h Rainfall of intensity in centimeters per hour (cm/hr).
Coefficient Depending on Soil Type - Coefficient Depending on Soil Type influences the flow of water occurring on the ground surface when excess rainwater can no longer sufficiently rapidly infiltrate in the soil.
Intensity of Rainfall - (Measured in Centimeter per Hour) - Intensity of Rainfall is the ratio of the total amount of rain (rainfall depth) falling during a given period to the duration of the period.

STEP 1: Convert Input(s) to Base Unit

Coefficient Depending on Soil Type: 0.5 --> No Conversion Required
Intensity of Rainfall: 0.8 Centimeter per Hour --> 0.8 Centimeter per Hour No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_24-h = α*I^1.2 --> 0.5*0.8^1.2

Evaluating ... ...

R_24-h = 0.382540999916015

STEP 3: Convert Result to Output's Unit

0.382540999916015 Meter -->38.2540999916015 Centimeter (Check conversion here)

FINAL ANSWER

38.2540999916015 ≈ 38.2541 Centimeter <-- Runoff in Cm from 24h Rainfall

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Engineering Hydrology » Abstractions from Precipitation » Infiltration Indices » Φ-Index » Runoff to Determine Phi Index for Practical Use

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< 11 Φ-Index Calculators

Precipitation given Total Runoff Depth for Practical Use

Go Total Storm Precipitation = Total Direct Runoff+(Φ-Index*Duration of Rainfall Excess)

Duration of Rainfall Excess given Total Runoff Depth

Go Duration of Rainfall Excess = (Total Storm Precipitation-Total Direct Runoff)/Φ-Index

Phi Index given Total Runoff Depth

Go Φ-Index = (Total Storm Precipitation-Total Direct Runoff)/Duration of Rainfall Excess

Total Direct Runoff Depth

Go Total Direct Runoff = Total Storm Precipitation-(Φ-Index*Duration of Rainfall Excess)

Runoff to Determine Phi Index for Practical Use

Go Runoff in Cm from 24h Rainfall = Coefficient Depending on Soil Type*Intensity of Rainfall^1.2

Rainfall Intensity for Phi Index of Practical Use

Go Intensity of Rainfall = (Φ-Index*24)+Runoff in Cm from 24h Rainfall

Runoff for Phi Index for Practical Use

Go Runoff in Cm from 24h Rainfall = Intensity of Rainfall-(Φ-Index*24)

Phi Index for Practical Use

Go Φ-Index = (Intensity of Rainfall-Runoff in Cm from 24h Rainfall)/24

Pulses of Time Interval from Rainfall Hyetograph

Go Pulses of Time Interval = Duration/Time Interval

Duration of Rainfall from Rainfall Hyetograph

Go Duration = Pulses of Time Interval*Time Interval

Time Interval of Rainfall Hyetograph

Go Time Interval = Duration/Pulses of Time Interval

Runoff to Determine Phi Index for Practical Use Formula

Runoff in Cm from 24h Rainfall = Coefficient Depending on Soil Type*Intensity of Rainfall^1.2
R_24-h = α*I^1.2

What is φ-Index?

The φ index of a catchment is defined as the constant infiltration capacity that would yield the actual total runoff for a given rainfall amount. In principle, the magnitude of the φ index is bounded between the maximum and minimum average infiltration capacities of the catchment during a rainfall event.

How to Calculate Runoff to Determine Phi Index for Practical Use?

Runoff to Determine Phi Index for Practical Use calculator uses Runoff in Cm from 24h Rainfall = Coefficient Depending on Soil Type*Intensity of Rainfall^1.2 to calculate the Runoff in Cm from 24h Rainfall, The Runoff to Determine Phi Index for Practical Use formula is defined as the flow of water occurring on the ground surface when excess rainwater can no longer sufficiently rapidly infiltrate the soil. Runoff in Cm from 24h Rainfall is denoted by R_24-h symbol.

How to calculate Runoff to Determine Phi Index for Practical Use using this online calculator? To use this online calculator for Runoff to Determine Phi Index for Practical Use, enter Coefficient Depending on Soil Type (α) & Intensity of Rainfall (I) and hit the calculate button. Here is how the Runoff to Determine Phi Index for Practical Use calculation can be explained with given input values -> 3825.41 = 0.5*2.22222222222222E-06^1.2.

FAQ

What is Runoff to Determine Phi Index for Practical Use?

The Runoff to Determine Phi Index for Practical Use formula is defined as the flow of water occurring on the ground surface when excess rainwater can no longer sufficiently rapidly infiltrate the soil and is represented as R_24-h = α*I^1.2 or Runoff in Cm from 24h Rainfall = Coefficient Depending on Soil Type*Intensity of Rainfall^1.2. Coefficient Depending on Soil Type influences the flow of water occurring on the ground surface when excess rainwater can no longer sufficiently rapidly infiltrate in the soil & Intensity of Rainfall is the ratio of the total amount of rain (rainfall depth) falling during a given period to the duration of the period.

How to calculate Runoff to Determine Phi Index for Practical Use?

The Runoff to Determine Phi Index for Practical Use formula is defined as the flow of water occurring on the ground surface when excess rainwater can no longer sufficiently rapidly infiltrate the soil is calculated using Runoff in Cm from 24h Rainfall = Coefficient Depending on Soil Type*Intensity of Rainfall^1.2. To calculate Runoff to Determine Phi Index for Practical Use, you need Coefficient Depending on Soil Type (α) & Intensity of Rainfall (I). With our tool, you need to enter the respective value for Coefficient Depending on Soil Type & Intensity of Rainfall 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 Cm from 24h Rainfall?

In this formula, Runoff in Cm from 24h Rainfall uses Coefficient Depending on Soil Type & Intensity of Rainfall. We can use 1 other way(s) to calculate the same, which is/are as follows -

Runoff in Cm from 24h Rainfall = Intensity of Rainfall-(Φ-Index*24)

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