Water Balance Equation for Rainfall Calculator

✖Initial Abstraction is a parameter that accounts for all losses prior to runoff and consists mainly of interception, infiltration, evaporation, and surface depression storage.ⓘ Initial Abstraction [I_a]			+10% -10%
✖The cumulative infiltration excluding initial abstraction is total amount of water that soil strata are able to absorb from rainfall or irrigation in a given time.ⓘ Cumulative Infiltration [F]			+10% -10%
✖Direct Surface Runoff is the rain or meltwater that runs off during the rain or melt event as overland flow or in the vegetation cover above frozen soil.ⓘ Direct Surface Runoff [Q]			+10% -10%

✖Total Precipitation is the sum of rainfall and the assumed water equivalent of snowfall for a given year.ⓘ Water Balance Equation for Rainfall [P_T]

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Water Balance Equation for Rainfall

Formula

`"P"_{"T"} = "I"_{"a"}+"F"+"Q"`

Example

`"16m³"="5m³"+"2m³"+"9m³"`

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Water Balance Equation for Rainfall Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Precipitation = Initial Abstraction+Cumulative Infiltration+Direct Surface Runoff
P_T = I_a+F+Q
This formula uses 4 Variables

Variables Used

Total Precipitation - (Measured in Cubic Meter) - Total Precipitation is the sum of rainfall and the assumed water equivalent of snowfall for a given year.
Initial Abstraction - (Measured in Cubic Meter) - Initial Abstraction is a parameter that accounts for all losses prior to runoff and consists mainly of interception, infiltration, evaporation, and surface depression storage.
Cumulative Infiltration - (Measured in Cubic Meter) - The cumulative infiltration excluding initial abstraction is total amount of water that soil strata are able to absorb from rainfall or irrigation in a given time.
Direct Surface Runoff - (Measured in Cubic Meter) - Direct Surface Runoff is the rain or meltwater that runs off during the rain or melt event as overland flow or in the vegetation cover above frozen soil.

STEP 1: Convert Input(s) to Base Unit

Initial Abstraction: 5 Cubic Meter --> 5 Cubic Meter No Conversion Required
Cumulative Infiltration: 2 Cubic Meter --> 2 Cubic Meter No Conversion Required
Direct Surface Runoff: 9 Cubic Meter --> 9 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_T = I_a+F+Q --> 5+2+9

Evaluating ... ...

P_T = 16

STEP 3: Convert Result to Output's Unit

16 Cubic Meter --> No Conversion Required

FINAL ANSWER

16 Cubic Meter <-- Total Precipitation

(Calculation completed in 00.020 seconds)

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< 11 Basic Theory Calculators

Equation for Potential Maximum Retention

Go Potential Maximum Retention = Cumulative Infiltration*((Total Precipitation-Initial Abstraction)/Direct Surface Runoff)

Actual Infiltration

Go Cumulative Infiltration = Potential Maximum Retention*(Direct Surface Runoff/(Total Precipitation-Initial Abstraction))

Initial Abstraction given Ratio of Infiltration to Retention

Go Initial Abstraction = Total Precipitation-(Direct Surface Runoff*Potential Maximum Retention/Cumulative Infiltration)

Precipitation given Potential Maximum Retention

Go Total Precipitation = (Direct Surface Runoff*Potential Maximum Retention/Cumulative Infiltration)+Initial Abstraction

Cumulative Infiltration given Total Precipitation

Go Cumulative Infiltration = Total Precipitation-Initial Abstraction-Direct Surface Runoff

Direct Surface Runoff given Total Precipitation

Go Direct Surface Runoff = Total Precipitation-Initial Abstraction-Cumulative Infiltration

Water Balance Equation for Rainfall

Go Total Precipitation = Initial Abstraction+Cumulative Infiltration+Direct Surface Runoff

Initial Abstraction

Go Initial Abstraction = Total Precipitation-Cumulative Infiltration-Direct Surface Runoff

Initial Abstraction given Total Precipitation

Go Initial Abstraction = Total Precipitation-Maximum Potential Runoff

Precipitation given Maximum Potential Runoff

Go Total Precipitation = Maximum Potential Runoff+Initial Abstraction

Maximum Potential Runoff

Go Maximum Potential Runoff = Total Precipitation-Initial Abstraction

Water Balance Equation for Rainfall Formula

Total Precipitation = Initial Abstraction+Cumulative Infiltration+Direct Surface Runoff
P_T = I_a+F+Q

What is Water Balance Model?

Water Balance Model is a conceptual representation of the hydrologic cycle typically used to apply water balance principles at atmospheric, surface, soil water media, and subsurface scales.

What is Initial Abstraction?

Initial Abstraction is a parameter that accounts for all losses prior to runoff and consists mainly of interception, infiltration, evaporation, and surface depression storage.

How to Calculate Water Balance Equation for Rainfall?

Water Balance Equation for Rainfall calculator uses Total Precipitation = Initial Abstraction+Cumulative Infiltration+Direct Surface Runoff to calculate the Total Precipitation, The Water Balance Equation for Rainfall formula is defined as to help manage water supply and predict where there may be water shortages. It is also used in irrigation, runoff assessment (e.g. through the Runoff model), flood control and pollution control. Total Precipitation is denoted by P_T symbol.

How to calculate Water Balance Equation for Rainfall using this online calculator? To use this online calculator for Water Balance Equation for Rainfall, enter Initial Abstraction (I_a), Cumulative Infiltration (F) & Direct Surface Runoff (Q) and hit the calculate button. Here is how the Water Balance Equation for Rainfall calculation can be explained with given input values -> 16 = 5+2+9.

FAQ

What is Water Balance Equation for Rainfall?

The Water Balance Equation for Rainfall formula is defined as to help manage water supply and predict where there may be water shortages. It is also used in irrigation, runoff assessment (e.g. through the Runoff model), flood control and pollution control and is represented as P_T = I_a+F+Q or Total Precipitation = Initial Abstraction+Cumulative Infiltration+Direct Surface Runoff. Initial Abstraction is a parameter that accounts for all losses prior to runoff and consists mainly of interception, infiltration, evaporation, and surface depression storage, The cumulative infiltration excluding initial abstraction is total amount of water that soil strata are able to absorb from rainfall or irrigation in a given time & Direct Surface Runoff is the rain or meltwater that runs off during the rain or melt event as overland flow or in the vegetation cover above frozen soil.

How to calculate Water Balance Equation for Rainfall?

The Water Balance Equation for Rainfall formula is defined as to help manage water supply and predict where there may be water shortages. It is also used in irrigation, runoff assessment (e.g. through the Runoff model), flood control and pollution control is calculated using Total Precipitation = Initial Abstraction+Cumulative Infiltration+Direct Surface Runoff. To calculate Water Balance Equation for Rainfall, you need Initial Abstraction (I_a), Cumulative Infiltration (F) & Direct Surface Runoff (Q). With our tool, you need to enter the respective value for Initial Abstraction, Cumulative Infiltration & Direct Surface Runoff and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Total Precipitation?

In this formula, Total Precipitation uses Initial Abstraction, Cumulative Infiltration & Direct Surface Runoff. We can use 2 other way(s) to calculate the same, which is/are as follows -

Total Precipitation = Maximum Potential Runoff+Initial Abstraction
Total Precipitation = (Direct Surface Runoff*Potential Maximum Retention/Cumulative Infiltration)+Initial Abstraction

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