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Phi Index given Total Runoff Depth Formula

GoPhi Index for Practical Use Formula

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Φ-Index of a catchment is the constant infiltration capacity that would yield the actual total runoff for a given rainfall amount. Check FAQs

φ = \frac{P - R d}{t e}

φ - Φ-Index?P - Total Storm Precipitation?R_d - Total Direct Runoff?t_e - Duration of Rainfall Excess?

Phi Index given Total Runoff Depth Example

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Here is how the Phi Index given Total Runoff Depth equation looks like with Values.

Here is how the Phi Index given Total Runoff Depth equation looks like with Units.

Here is how the Phi Index given Total Runoff Depth equation looks like.

0.03 = \frac{118 - 117.88}{4}

0.03 = \frac{118cm - 117.88cm}{4h}

0.03 = \frac{118 - 117.88}{4}

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Phi Index given Total Runoff Depth Solution

Follow our step by step solution on how to calculate Phi Index given Total Runoff Depth?

FIRST Step Consider the formula

φ = \frac{P - R d}{t e}

Next Step Substitute values of Variables

∴

φ = \frac{118cm - 117.88cm}{4h}

Next Step Prepare to Evaluate

∴

φ = \frac{118 - 117.88}{4}

Next Step Evaluate

∴

φ = 0.0300000000000011

LAST Step Rounding Answer

∴

φ = 0.03

Phi Index given Total Runoff Depth Formula Elements

Variables

Φ-Index

Φ-Index of a catchment is the constant infiltration capacity that would yield the actual total runoff for a given rainfall amount.

Symbol: φ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Φ-Index

Total Storm Precipitation

Total Storm Precipitation is the annual precipitation of the current year.

Symbol: P

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Total Storm Precipitation

Total Direct Runoff

Total Direct Runoff is the runoff entering stream channels promptly after rainfall or snowmelt.

Symbol: R_d

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Total Direct Runoff

Duration of Rainfall Excess

Duration of Rainfall Excess is the total time in which the rainfall intensity the greater than the average rate of infiltration (in hours).

Symbol: t_e

Measurement: TimeUnit: h

Note: Value should be greater than 0.

Formulas to find Duration of Rainfall Excess

Other Formulas to find Φ-Index

Go Phi Index for Practical Use

φ = \frac{I - R 24-h}{24}

Other formulas in Φ Index category

Go Duration of Rainfall from Rainfall Hyetograph

D = N \cdot Δt

Go Time Interval of Rainfall Hyetograph

Δt = \frac{D}{N}

Go Pulses of Time Interval from Rainfall Hyetograph

N = \frac{D}{Δt}

Go Total Direct Runoff Depth

R d = P - (φ \cdot t e)

How to Evaluate Phi Index given Total Runoff Depth?

Phi Index given Total Runoff Depth evaluator uses Φ-Index = (Total Storm Precipitation-Total Direct Runoff)/Duration of Rainfall Excess to evaluate the Φ-Index, The Phi Index given Total Runoff Depth formula is defined as the constant infiltration capacity that would yield the actual total runoff for a given rainfall amount. Φ-Index is denoted by φ symbol.

How to evaluate Phi Index given Total Runoff Depth using this online evaluator? To use this online evaluator for Phi Index given Total Runoff Depth, enter Total Storm Precipitation (P), Total Direct Runoff (R_d) & Duration of Rainfall Excess (t_e) and hit the calculate button.

FAQs on Phi Index given Total Runoff Depth

What is the formula to find Phi Index given Total Runoff Depth?

The formula of Phi Index given Total Runoff Depth is expressed as Φ-Index = (Total Storm Precipitation-Total Direct Runoff)/Duration of Rainfall Excess. Here is an example- 0.03 = (1.18-1.1788)/14400.

How to calculate Phi Index given Total Runoff Depth?

With Total Storm Precipitation (P), Total Direct Runoff (R_d) & Duration of Rainfall Excess (t_e) we can find Phi Index given Total Runoff Depth using the formula - Φ-Index = (Total Storm Precipitation-Total Direct Runoff)/Duration of Rainfall Excess.

What are the other ways to Calculate Φ-Index?

Here are the different ways to Calculate Φ-Index-

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

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Phi Index given Total Runoff Depth Formula

​GoPhi Index for Practical Use Formula

Phi Index given Total Runoff Depth Example

Phi Index given Total Runoff Depth Solution

Phi Index given Total Runoff Depth Formula Elements

Other Formulas to find Φ-Index

Other formulas in Φ Index category

How to Evaluate Phi Index given Total Runoff Depth?

FAQs on Phi Index given Total Runoff Depth

Variable Name

GoPhi Index for Practical Use Formula