Initial Losses 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%
✖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 [t_e]			+10% -10%

✖Depression and Interception Losses is the portion of the precipitation that is returned to the atmosphere through evaporation from plant surfaces .ⓘ Initial Losses given W-Index [I_a]

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Formula

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Initial Losses given W-Index

Formula

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

Example

`"6cm"="118cm"-"48cm"-("16.0cm"*"4h")`

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Initial Losses given W-Index Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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 .
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.
W-Index - (Measured in Centimeter) - W-Index is the average infiltration rate during the time when the rainfall intensity exceeds the infiltration rate.
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).

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
W-Index: 16 Centimeter --> 16 Centimeter No Conversion Required
Duration of Rainfall Excess: 4 Hour --> 4 Hour No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_a = P-R-(W*t_e) --> 118-48-(16*4)

Evaluating ... ...

I_a = 6

STEP 3: Convert Result to Output's Unit

0.06 Meter -->6 Centimeter (Check conversion here)

FINAL ANSWER

6 Centimeter <-- Depression and Interception Losses

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Engineering Hydrology » Abstractions from Precipitation » Infiltration Indices » W-Index » Initial Losses given W-Index

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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

Initial Losses given W-Index Formula

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

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 Initial Loss?

In flood hydrology, the initial loss is the amount of rainfall required to wet up a catchment before runoff starts. Initial loss has major influence on the size of the flood peak produced by a storm and has long been the subject of research.

How to Calculate Initial Losses given W-Index?

Initial Losses given W-Index calculator uses Depression and Interception Losses = Total Storm Precipitation-Total Storm Runoff-(W-Index*Duration of Rainfall Excess) to calculate the Depression and Interception Losses, The Initial Losses given W-Index formula is defined as considering infiltration quantity, W-Index is the average infiltration rate during the entire period of the storm. In the calculation of W-Index, the initial loss is separated from the total infiltration. Depression and Interception Losses is denoted by I_a symbol.

How to calculate Initial Losses given W-Index using this online calculator? To use this online calculator for Initial Losses given W-Index, enter Total Storm Precipitation (P), Total Storm Runoff (R), W-Index (W) & Duration of Rainfall Excess (t_e) and hit the calculate button. Here is how the Initial Losses given W-Index calculation can be explained with given input values -> 600 = 1.18-0.48-(0.16*14400).

FAQ

What is Initial Losses given W-Index?

The Initial Losses given W-Index formula is defined as considering infiltration quantity, W-Index is the average infiltration rate during the entire period of the storm. In the calculation of W-Index, the initial loss is separated from the total infiltration and is represented as I_a = P-R-(W*t_e) or Depression and Interception Losses = Total Storm Precipitation-Total Storm Runoff-(W-Index*Duration of Rainfall Excess). 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, W-Index is the average infiltration rate during the time when the rainfall intensity exceeds the infiltration rate & Duration of Rainfall Excess is the total time in which the rainfall intensity the greater than the average rate of infiltration (in hours).

How to calculate Initial Losses given W-Index?

The Initial Losses given W-Index formula is defined as considering infiltration quantity, W-Index is the average infiltration rate during the entire period of the storm. In the calculation of W-Index, the initial loss is separated from the total infiltration is calculated using Depression and Interception Losses = Total Storm Precipitation-Total Storm Runoff-(W-Index*Duration of Rainfall Excess). To calculate Initial Losses given W-Index, you need Total Storm Precipitation (P), Total Storm Runoff (R), W-Index (W) & Duration of Rainfall Excess (t_e). With our tool, you need to enter the respective value for Total Storm Precipitation, Total Storm Runoff, W-Index & Duration of Rainfall Excess 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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