Infiltration rate by Horton's equation Calculator

✖Final Steady State Infiltration Capacity occurring at t=tc. It is sometimes known as the constant rate.ⓘ Final Steady State Infiltration Capacity [f_c]			+10% -10%
✖Initial Infiltration Capacity at time t=0 is the start of the infiltration.ⓘ Initial Infiltration Capacity [f₀]			+10% -10%
✖Decay Coefficient is the loss in cell mass due to the oxidation of internal storage products for energy for cell maintenance.ⓘ Decay Coefficient [K_d]			+10% -10%
✖Time is an ongoing and continuous sequence of events that occur in succession, from the past through the present, and to the future. Here it is for rainfall.ⓘ Time [t]			+10% -10%

✖Infiltration Capacity at Any Time t from the start of the rainfall is the rate at which water percolates in the soil.ⓘ Infiltration rate by Horton's equation [f_p]

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Formula

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Infiltration rate by Horton's equation

Formula

`"f"_{"p"} = "f"_{"c"}+("f"_{"0"}-"f"_{"c"})*exp(-("K"_{"d"}*"t"))`

Example

`"19.44491cm/h"="15cm/h"+("21.0cm/h"-"15cm/h")*exp(-("0.15"*"2h"))`

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Infiltration rate by Horton's equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Infiltration Capacity at Any Time t = Final Steady State Infiltration Capacity+(Initial Infiltration Capacity-Final Steady State Infiltration Capacity)*exp(-(Decay Coefficient*Time))
f_p = f_c+(f₀-f_c)*exp(-(K_d*t))
This formula uses 1 Functions, 5 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Infiltration Capacity at Any Time t - (Measured in Centimeter per Hour) - Infiltration Capacity at Any Time t from the start of the rainfall is the rate at which water percolates in the soil.
Final Steady State Infiltration Capacity - (Measured in Centimeter per Hour) - Final Steady State Infiltration Capacity occurring at t=tc. It is sometimes known as the constant rate.
Initial Infiltration Capacity - (Measured in Centimeter per Hour) - Initial Infiltration Capacity at time t=0 is the start of the infiltration.
Decay Coefficient - Decay Coefficient is the loss in cell mass due to the oxidation of internal storage products for energy for cell maintenance.
Time - (Measured in Hour) - Time is an ongoing and continuous sequence of events that occur in succession, from the past through the present, and to the future. Here it is for rainfall.

STEP 1: Convert Input(s) to Base Unit

Final Steady State Infiltration Capacity: 15 Centimeter per Hour --> 15 Centimeter per Hour No Conversion Required
Initial Infiltration Capacity: 21 Centimeter per Hour --> 21 Centimeter per Hour No Conversion Required
Decay Coefficient: 0.15 --> No Conversion Required
Time: 2 Hour --> 2 Hour No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_p = f_c+(f₀-f_c)*exp(-(K_d*t)) --> 15+(21-15)*exp(-(0.15*2))

Evaluating ... ...

f_p = 19.4449093240903

STEP 3: Convert Result to Output's Unit

5.4013637011362E-05 Meter per Second -->19.4449093240903 Centimeter per Hour (Check conversion here)

FINAL ANSWER

19.4449093240903 ≈ 19.44491 Centimeter per Hour <-- Infiltration Capacity at Any Time t

(Calculation completed in 00.004 seconds)

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< 8 Infiltration Capacity Equation Calculators

Infiltration rate by Horton's equation

Go Infiltration Capacity at Any Time t = Final Steady State Infiltration Capacity+(Initial Infiltration Capacity-Final Steady State Infiltration Capacity)*exp(-(Decay Coefficient*Time))

Darcy's Hydraulic Conductivity given Infiltration Capacity from Philip's Equation

Go Hydraulic Conductivity = (Cumulative Infiltration Capacity-(Sorptivity*Time^(1/2)))/Time

Sorptivity for Cumulative Infiltration Capacity is from Philip's Equation

Go Sorptivity = (Cumulative Infiltration Capacity-Hydraulic Conductivity*Time)/(Time^(1/2))

Philip's Equation

Go Cumulative Infiltration Capacity = Sorptivity*Time^(1/2)+Hydraulic Conductivity*Time

Sorptivity given Infiltration Capacity

Go Sorptivity = ((Infiltration Capacity at Any Time t-Hydraulic Conductivity)*2)/(Time^(-1/2))

Equation for Infiltration Capacity

Go Infiltration Capacity at Any Time t = (1/2)*Sorptivity*Time^(-1/2)+Hydraulic Conductivity

Darcy's Hydraulic Conductivity given Infiltration Capacity

Go Hydraulic Conductivity = Infiltration Capacity at Any Time t-(1/2)*Sorptivity*Time^-1/2

Kostiakov Equation

Go Cumulative Infiltration Capacity = Local Parameter a*Time^Local Parameter b

Infiltration rate by Horton's equation Formula

What is Horton's Equation?

Horton's Equation is based on empirical observations showing that infiltration decreases exponentially from an initial maximum rate to some minimum rate over the course of a long rainfall event

What is meant by Infiltration Capacity?

The Infiltration Capacity is defined as the maximum rate of infiltration. It is most often measured in meters per day but can also be measured in other units of distance over time if necessary. The infiltration capacity decreases as the soil moisture content of soil surface layers increases.

How to Calculate Infiltration rate by Horton's equation?

Infiltration rate by Horton's equation calculator uses Infiltration Capacity at Any Time t = Final Steady State Infiltration Capacity+(Initial Infiltration Capacity-Final Steady State Infiltration Capacity)*exp(-(Decay Coefficient*Time)) to calculate the Infiltration Capacity at Any Time t, The Infiltration Rate by Horton's Equation formula is defined as empirical observations showing that infiltration decreases exponentially from an initial maximum rate to some minimum rate throughout a long rainfall event. Infiltration Capacity at Any Time t is denoted by f_p symbol.

How to calculate Infiltration rate by Horton's equation using this online calculator? To use this online calculator for Infiltration rate by Horton's equation, enter Final Steady State Infiltration Capacity (f_c), Initial Infiltration Capacity (f₀), Decay Coefficient (K_d) & Time (t) and hit the calculate button. Here is how the Infiltration rate by Horton's equation calculation can be explained with given input values -> 7E+6 = 4.16666666666667E-05+(5.83333333333333E-05-4.16666666666667E-05)*exp(-(0.15*7200)).

FAQ

What is Infiltration rate by Horton's equation?

The Infiltration Rate by Horton's Equation formula is defined as empirical observations showing that infiltration decreases exponentially from an initial maximum rate to some minimum rate throughout a long rainfall event and is represented as f_p = f_c+(f₀-f_c)*exp(-(K_d*t)) or Infiltration Capacity at Any Time t = Final Steady State Infiltration Capacity+(Initial Infiltration Capacity-Final Steady State Infiltration Capacity)*exp(-(Decay Coefficient*Time)). Final Steady State Infiltration Capacity occurring at t=tc. It is sometimes known as the constant rate, Initial Infiltration Capacity at time t=0 is the start of the infiltration, Decay Coefficient is the loss in cell mass due to the oxidation of internal storage products for energy for cell maintenance & Time is an ongoing and continuous sequence of events that occur in succession, from the past through the present, and to the future. Here it is for rainfall.

How to calculate Infiltration rate by Horton's equation?

The Infiltration Rate by Horton's Equation formula is defined as empirical observations showing that infiltration decreases exponentially from an initial maximum rate to some minimum rate throughout a long rainfall event is calculated using Infiltration Capacity at Any Time t = Final Steady State Infiltration Capacity+(Initial Infiltration Capacity-Final Steady State Infiltration Capacity)*exp(-(Decay Coefficient*Time)). To calculate Infiltration rate by Horton's equation, you need Final Steady State Infiltration Capacity (f_c), Initial Infiltration Capacity (f₀), Decay Coefficient (K_d) & Time (t). With our tool, you need to enter the respective value for Final Steady State Infiltration Capacity, Initial Infiltration Capacity, Decay Coefficient & Time 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 Infiltration Capacity at Any Time t?

In this formula, Infiltration Capacity at Any Time t uses Final Steady State Infiltration Capacity, Initial Infiltration Capacity, Decay Coefficient & Time. We can use 1 other way(s) to calculate the same, which is/are as follows -

Infiltration Capacity at Any Time t = (1/2)*Sorptivity*Time^(-1/2)+Hydraulic Conductivity

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