Duration of Rainfall Excess given Total Runoff Depth Calculator

✖Total Storm Precipitation is the annual precipitation of the current year.ⓘ Total Storm Precipitation [P]			+10% -10%
✖Total Direct Runoff is the runoff entering stream channels promptly after rainfall or snowmelt.ⓘ Total Direct Runoff [R_d]			+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 given Total Runoff Depth [t_e]

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Formula

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Duration of Rainfall Excess given Total Runoff Depth

Formula

t e = \frac{P - R d}{φ}

Example

4.301075 h = \frac{118 cm - 117.88 cm}{0.0279}

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Duration of Rainfall Excess given Total Runoff Depth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Duration of Rainfall Excess = (Total Storm Precipitation-Total Direct Runoff)/Φ-Index
t_e = (P-R_d)/φ
This formula uses 4 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 Direct Runoff - (Measured in Centimeter) - Total Direct Runoff is the runoff entering stream channels promptly after rainfall or snowmelt.
Φ-Index - Φ-Index of a catchment is the constant infiltration capacity that would yield the actual total runoff for a given rainfall amount.

STEP 1: Convert Input(s) to Base Unit

Total Storm Precipitation: 118 Centimeter --> 118 Centimeter No Conversion Required
Total Direct Runoff: 117.88 Centimeter --> 117.88 Centimeter No Conversion Required
Φ-Index: 0.0279 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_e = (P-R_d)/φ --> (118-117.88)/0.0279

Evaluating ... ...

t_e = 4.30107526881737

STEP 3: Convert Result to Output's Unit

15483.8709677425 Second -->4.30107526881737 Hour (Check conversion here)

FINAL ANSWER

4.30107526881737 ≈ 4.301075 Hour <-- Duration of Rainfall Excess

(Calculation completed in 00.004 seconds)

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< Φ Index Calculators

Total Direct Runoff Depth

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

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

Duration of Rainfall Excess given Total Runoff Depth Formula

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

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 Duration of Rainfall Excess given Total Runoff Depth?

Duration of Rainfall Excess given Total Runoff Depth calculator uses Duration of Rainfall Excess = (Total Storm Precipitation-Total Direct Runoff)/Φ-Index to calculate the Duration of Rainfall Excess, The Duration of Rainfall Excess given Total Runoff Depth formula is defined as a process controlled at the surface of the soil. This occurs when rainfall reaches the soil at a rate in excess of the soil's ability to absorb, which is called infiltrability. Duration of Rainfall Excess is denoted by t_e symbol.

How to calculate Duration of Rainfall Excess given Total Runoff Depth using this online calculator? To use this online calculator for Duration of Rainfall Excess given Total Runoff Depth, enter Total Storm Precipitation (P), Total Direct Runoff (R_d) & Φ-Index (φ) and hit the calculate button. Here is how the Duration of Rainfall Excess given Total Runoff Depth calculation can be explained with given input values -> 0.001195 = (1.18-1.1788)/0.0279.

FAQ

What is Duration of Rainfall Excess given Total Runoff Depth?

The Duration of Rainfall Excess given Total Runoff Depth formula is defined as a process controlled at the surface of the soil. This occurs when rainfall reaches the soil at a rate in excess of the soil's ability to absorb, which is called infiltrability and is represented as t_e = (P-R_d)/φ or Duration of Rainfall Excess = (Total Storm Precipitation-Total Direct Runoff)/Φ-Index. Total Storm Precipitation is the annual precipitation of the current year, Total Direct Runoff is the runoff entering stream channels promptly after rainfall or snowmelt & Φ-Index of a catchment is the constant infiltration capacity that would yield the actual total runoff for a given rainfall amount.

How to calculate Duration of Rainfall Excess given Total Runoff Depth?

The Duration of Rainfall Excess given Total Runoff Depth formula is defined as a process controlled at the surface of the soil. This occurs when rainfall reaches the soil at a rate in excess of the soil's ability to absorb, which is called infiltrability is calculated using Duration of Rainfall Excess = (Total Storm Precipitation-Total Direct Runoff)/Φ-Index. To calculate Duration of Rainfall Excess given Total Runoff Depth, you need Total Storm Precipitation (P), Total Direct Runoff (R_d) & Φ-Index (φ). With our tool, you need to enter the respective value for Total Storm Precipitation, Total Direct Runoff & Φ-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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