Total Direct Runoff Depth Calculator

✖Total Storm Precipitation is the annual precipitation of the current year.ⓘ Total Storm Precipitation [P]			+10% -10%
✖Φ-Index of a catchment is the constant infiltration capacity that would yield the actual total runoff for a given rainfall amount.ⓘ Φ-Index [φ]			+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%

✖Total Direct Runoff is the runoff entering stream channels promptly after rainfall or snowmelt.ⓘ Total Direct Runoff Depth [R_d]

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Formula

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Total Direct Runoff Depth

Formula

`"R"_{"d"} = "P"-("φ"*"t"_{"e"})`

Example

`"117.8884cm"="118cm"-("0.0279"*"4h")`

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Download Abstractions from Precipitation Formulas PDF

Total Direct Runoff Depth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Direct Runoff = Total Storm Precipitation-(Φ-Index*Duration of Rainfall Excess)
R_d = P-(φ*t_e)
This formula uses 4 Variables

Variables Used

Total Direct Runoff - (Measured in Centimeter) - Total Direct Runoff is the runoff entering stream channels promptly after rainfall or snowmelt.
Total Storm Precipitation - (Measured in Centimeter) - Total Storm Precipitation is the annual precipitation of the current year.
Φ-Index - Φ-Index of a catchment is the constant infiltration capacity that would yield the actual total runoff for a given rainfall amount.
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
Φ-Index: 0.0279 --> No Conversion Required
Duration of Rainfall Excess: 4 Hour --> 4 Hour No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_d = P-(φ*t_e) --> 118-(0.0279*4)

Evaluating ... ...

R_d = 117.8884

STEP 3: Convert Result to Output's Unit

1.178884 Meter -->117.8884 Centimeter (Check conversion here)

FINAL ANSWER

117.8884 Centimeter <-- Total Direct Runoff

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

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National Institute of Technology Karnataka (NITK), Surathkal

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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

Total Direct Runoff Depth Formula

Total Direct Runoff = Total Storm Precipitation-(Φ-Index*Duration of Rainfall Excess)
R_d = P-(φ*t_e)

What is Runoff?

Runoff is the flow of water occurring on the ground surface when excess rainwater, storm water, meltwater, or other sources, can no longer sufficiently rapidly infiltrate in the soil.

What is Precipitation?

Precipitation is any product of the condensation of atmospheric water vapor that falls under gravitational pull from clouds. The main forms of precipitation include drizzling, rain, sleet, snow, ice pellets, graupel and hail.

How to Calculate Total Direct Runoff Depth?

Total Direct Runoff Depth calculator uses Total Direct Runoff = Total Storm Precipitation-(Φ-Index*Duration of Rainfall Excess) to calculate the Total Direct Runoff, The Total Direct Runoff Depth formula is defined as the measuring point in the receiving water results in the arithmetical mean of the values of the total runoff depth of all area units in the related catchment area. Total Direct Runoff is denoted by R_d symbol.

How to calculate Total Direct Runoff Depth using this online calculator? To use this online calculator for Total Direct Runoff Depth, enter Total Storm Precipitation (P), Φ-Index (φ) & Duration of Rainfall Excess (t_e) and hit the calculate button. Here is how the Total Direct Runoff Depth calculation can be explained with given input values -> 11788.84 = 1.18-(0.0279*14400).

FAQ

What is Total Direct Runoff Depth?

The Total Direct Runoff Depth formula is defined as the measuring point in the receiving water results in the arithmetical mean of the values of the total runoff depth of all area units in the related catchment area and is represented as R_d = P-(φ*t_e) or Total Direct Runoff = Total Storm Precipitation-(Φ-Index*Duration of Rainfall Excess). Total Storm Precipitation is the annual precipitation of the current year, Φ-Index of a catchment is the constant infiltration capacity that would yield the actual total runoff for a given rainfall amount & 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 Total Direct Runoff Depth?

The Total Direct Runoff Depth formula is defined as the measuring point in the receiving water results in the arithmetical mean of the values of the total runoff depth of all area units in the related catchment area is calculated using Total Direct Runoff = Total Storm Precipitation-(Φ-Index*Duration of Rainfall Excess). To calculate Total Direct Runoff Depth, you need Total Storm Precipitation (P), Φ-Index (φ) & Duration of Rainfall Excess (t_e). With our tool, you need to enter the respective value for Total Storm Precipitation, Φ-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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