Duration of Rainfall Excess given W Index Calculator

✖Total Storm Precipitation is the annual precipitation of the current year.ⓘ Total Storm Precipitation [P]			+10% -10%
✖Total Storm Runoff is rain that flows off building rooftops, driveways, lawns, streets, parking lots, construction sites, and industrial storage yards.ⓘ Total Storm Runoff [R]			+10% -10%
✖Depression and Interception Losses is the portion of the precipitation that is returned to the atmosphere through evaporation from plant surfaces .ⓘ Depression and Interception Losses [I_a]			+10% -10%
✖W-Index is the average infiltration rate during the time when the rainfall intensity exceeds the infiltration rate.ⓘ W-Index [W]			+10% -10%

✖Duration of Rainfall Excess is the total time in which the rainfall intensity the greater than the average rate of infiltration (in hours).ⓘ Duration of Rainfall Excess given W Index [t_e]

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Formula

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Duration of Rainfall Excess given W Index

Formula

`"t"_{"e"} = ("P"-"R"-"I"_{"a"})/"W"`

Example

`"4h"=("118cm"-"48cm"-"6.0cm")/"16.0cm"`

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Download Abstractions from Precipitation Formulas PDF

Duration of Rainfall Excess given W Index Solution

STEP 0: Pre-Calculation Summary

Formula Used

Duration of Rainfall Excess = (Total Storm Precipitation-Total Storm Runoff-Depression and Interception Losses)/W-Index
t_e = (P-R-I_a)/W
This formula uses 5 Variables

Variables Used

Duration of Rainfall Excess - (Measured in Hour) - Duration of Rainfall Excess is the total time in which the rainfall intensity the greater than the average rate of infiltration (in hours).
Total Storm Precipitation - (Measured in Centimeter) - Total Storm Precipitation is the annual precipitation of the current year.
Total Storm Runoff - (Measured in Centimeter) - Total Storm Runoff is rain that flows off building rooftops, driveways, lawns, streets, parking lots, construction sites, and industrial storage yards.
Depression and Interception Losses - (Measured in Centimeter) - Depression and Interception Losses is the portion of the precipitation that is returned to the atmosphere through evaporation from plant surfaces .
W-Index - (Measured in Centimeter) - W-Index is the average infiltration rate during the time when the rainfall intensity exceeds the infiltration rate.

STEP 1: Convert Input(s) to Base Unit

Total Storm Precipitation: 118 Centimeter --> 118 Centimeter No Conversion Required
Total Storm Runoff: 48 Centimeter --> 48 Centimeter No Conversion Required
Depression and Interception Losses: 6 Centimeter --> 6 Centimeter No Conversion Required
W-Index: 16 Centimeter --> 16 Centimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_e = (P-R-I_a)/W --> (118-48-6)/16

Evaluating ... ...

t_e = 4

STEP 3: Convert Result to Output's Unit

14400 Second -->4 Hour (Check conversion here)

FINAL ANSWER

4 Hour <-- Duration of Rainfall Excess

(Calculation completed in 00.014 seconds)

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< 5 W-Index Calculators

Duration of Rainfall Excess given W Index

Go Duration of Rainfall Excess = (Total Storm Precipitation-Total Storm Runoff-Depression and Interception Losses)/W-Index

Total Storm Precipitation when W Index

Go Total Storm Precipitation = (W-Index*Duration of Rainfall Excess)+Total Storm Runoff+Depression and Interception Losses

Total Storm Runoff given W Index

Go Total Storm Runoff = Total Storm Precipitation-Depression and Interception Losses-(W-Index*Duration of Rainfall Excess)

Initial Losses given W-Index

Go Depression and Interception Losses = Total Storm Precipitation-Total Storm Runoff-(W-Index*Duration of Rainfall Excess)

W-Index

Go W-Index = (Total Storm Precipitation-Total Storm Runoff-Depression and Interception Losses)/Duration of Rainfall Excess

Duration of Rainfall Excess given W Index Formula

Duration of Rainfall Excess = (Total Storm Precipitation-Total Storm Runoff-Depression and Interception Losses)/W-Index
t_e = (P-R-I_a)/W

What is W-Index?

W-Index is the average infiltration rate during the time when the rainfall intensity exceeds the infiltration rate. Thus, W may be mathematically calculated by dividing the total infiltration. (expressed as a depth of water) divided by the time during which the rainfall occurs.

What is W_min?

The minimum value of the W-index obtained under very wet soil conditions, representing the constant minimum rate of infiltration of the catchment, is known as W_min

How to Calculate Duration of Rainfall Excess given W Index?

Duration of Rainfall Excess given W Index calculator uses Duration of Rainfall Excess = (Total Storm Precipitation-Total Storm Runoff-Depression and Interception Losses)/W-Index to calculate the Duration of Rainfall Excess, The Duration of Rainfall Excess given W Index formula is defined as the time during which continuous rain is observed, or occurs, at a given point or within a given area. Duration of Rainfall Excess is denoted by t_e symbol.

How to calculate Duration of Rainfall Excess given W Index using this online calculator? To use this online calculator for Duration of Rainfall Excess given W Index, enter Total Storm Precipitation (P), Total Storm Runoff (R), Depression and Interception Losses (I_a) & W-Index (W) and hit the calculate button. Here is how the Duration of Rainfall Excess given W Index calculation can be explained with given input values -> 0.001111 = (1.18-0.48-0.06)/0.16.

FAQ

What is Duration of Rainfall Excess given W Index?

The Duration of Rainfall Excess given W Index formula is defined as the time during which continuous rain is observed, or occurs, at a given point or within a given area and is represented as t_e = (P-R-I_a)/W or Duration of Rainfall Excess = (Total Storm Precipitation-Total Storm Runoff-Depression and Interception Losses)/W-Index. Total Storm Precipitation is the annual precipitation of the current year, Total Storm Runoff is rain that flows off building rooftops, driveways, lawns, streets, parking lots, construction sites, and industrial storage yards, Depression and Interception Losses is the portion of the precipitation that is returned to the atmosphere through evaporation from plant surfaces & W-Index is the average infiltration rate during the time when the rainfall intensity exceeds the infiltration rate.

How to calculate Duration of Rainfall Excess given W Index?

The Duration of Rainfall Excess given W Index formula is defined as the time during which continuous rain is observed, or occurs, at a given point or within a given area is calculated using Duration of Rainfall Excess = (Total Storm Precipitation-Total Storm Runoff-Depression and Interception Losses)/W-Index. To calculate Duration of Rainfall Excess given W Index, you need Total Storm Precipitation (P), Total Storm Runoff (R), Depression and Interception Losses (I_a) & W-Index (W). With our tool, you need to enter the respective value for Total Storm Precipitation, Total Storm Runoff, Depression and Interception Losses & W-Index and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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Duration of Rainfall Excess given W Index Calculator

Duration of Rainfall Excess given W Index

Duration of Rainfall Excess given W Index Solution

Credits

< 5 W-Index Calculators

Duration of Rainfall Excess given W Index Formula

What is W-Index?

What is Wmin?

How to Calculate Duration of Rainfall Excess given W Index?

FAQ

What is W_min?