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Infiltration rate by Horton's equation Formula

GoEquation for Infiltration Capacity Formula

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Infiltration Capacity at Any Time t from the start of the rainfall is the rate at which water percolates in the soil. Check FAQs

f p = f c + (f 0 - f c) \cdot \exp (- (K d \cdot t))

f_p - Infiltration Capacity at Any Time t?f_c - Final Steady State Infiltration Capacity?f₀ - Initial Infiltration Capacity?K_d - Decay Coefficient?t - Time?

Infiltration rate by Horton's equation Example

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Here is how the Infiltration rate by Horton's equation equation looks like with Values.

Here is how the Infiltration rate by Horton's equation equation looks like with Units.

Here is how the Infiltration rate by Horton's equation equation looks like.

19.4449 = 15 + (21 - 15) \cdot \exp (- (0.15 \cdot 2))

19.4449cm/h = 15cm/h + (21cm/h - 15cm/h) \cdot \exp (- (0.15 \cdot 2h))

19.4449 = 15 + (21 - 15) \cdot \exp (- (0.15 \cdot 2))

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Infiltration rate by Horton's equation Solution

Follow our step by step solution on how to calculate Infiltration rate by Horton's equation?

FIRST Step Consider the formula

f p = f c + (f 0 - f c) \cdot \exp (- (K d \cdot t))

Next Step Substitute values of Variables

∴

f p = 15cm/h + (21cm/h - 15cm/h) \cdot \exp (- (0.15 \cdot 2h))

Next Step Prepare to Evaluate

∴

f p = 15 + (21 - 15) \cdot \exp (- (0.15 \cdot 2))

Next Step Evaluate

∴

f p = 5.4013637011362E-05m/s

Next Step Convert to Output's Unit

∴

f p = 19.4449093240903cm/h

LAST Step Rounding Answer

∴

f p = 19.4449cm/h

Infiltration rate by Horton's equation Formula Elements

Variables

Functions

Infiltration Capacity at Any Time t

Infiltration Capacity at Any Time t from the start of the rainfall is the rate at which water percolates in the soil.

Symbol: f_p

Measurement: SpeedUnit: cm/h

Note: Value should be greater than 0.

Formulas to find Infiltration Capacity at Any Time t

Final Steady State Infiltration Capacity

Final Steady State Infiltration Capacity occurring at t=tc. It is sometimes known as the constant rate.

Symbol: f_c

Measurement: SpeedUnit: cm/h

Note: Value should be greater than 0.

Formulas to find Final Steady State Infiltration Capacity

Initial Infiltration Capacity

Initial Infiltration Capacity at time t=0 is the start of the infiltration.

Symbol: f₀

Measurement: SpeedUnit: cm/h

Note: Value should be greater than 0.

Formulas to find Initial Infiltration Capacity

Decay Coefficient

Decay Coefficient is the loss in cell mass due to the oxidation of internal storage products for energy for cell maintenance.

Symbol: K_d

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Decay Coefficient

Time

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.

Symbol: t

Measurement: TimeUnit: h

Note: Value should be greater than 0.

Formulas to find Time

exp

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

Syntax: exp(Number)

Other Formulas to find Infiltration Capacity at Any Time t

Go Equation for Infiltration Capacity

f p = (\frac{1}{2}) \cdot s \cdot t^{- \frac{1}{2}} + k

Other formulas in Infiltration Capacity Equation category

Go Kostiakov Equation

F p = a \cdot t^{b}

Go Philip's Equation

F p = s \cdot t^{\frac{1}{2}} + k \cdot t

Go Sorptivity for Cumulative Infiltration Capacity is from Philip's Equation

s = \frac{F p - k \cdot t}{t^{\frac{1}{2}}}

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

k = \frac{F p - (s \cdot t^{\frac{1}{2}})}{t}

How to Evaluate Infiltration rate by Horton's equation?

Infiltration rate by Horton's equation evaluator 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 evaluate 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 evaluate Infiltration rate by Horton's equation using this online evaluator? To use this online evaluator 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.

FAQs on Infiltration rate by Horton's equation

What is the formula to find Infiltration rate by Horton's equation?

The formula of Infiltration rate by Horton's equation is expressed as Infiltration Capacity at Any Time t = Final Steady State Infiltration Capacity+(Initial Infiltration Capacity-Final Steady State Infiltration Capacity)*exp(-(Decay Coefficient*Time)). Here is an example- 7E+6 = 4.16666666666667E-05+(5.83333333333333E-05-4.16666666666667E-05)*exp(-(0.15*7200)).

How to calculate Infiltration rate by Horton's equation?

With Final Steady State Infiltration Capacity (f_c), Initial Infiltration Capacity (f₀), Decay Coefficient (K_d) & Time (t) we can find Infiltration rate by Horton's equation using the formula - Infiltration Capacity at Any Time t = Final Steady State Infiltration Capacity+(Initial Infiltration Capacity-Final Steady State Infiltration Capacity)*exp(-(Decay Coefficient*Time)). This formula also uses Exponential Growth (exp) function(s).

What are the other ways to Calculate Infiltration Capacity at Any Time t?

Here are the different ways to Calculate Infiltration Capacity at Any Time t-

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

Can the Infiltration rate by Horton's equation be negative?

No, the Infiltration rate by Horton's equation, measured in Speed cannot be negative.

Which unit is used to measure Infiltration rate by Horton's equation?

Infiltration rate by Horton's equation is usually measured using the Centimeter per Hour[cm/h] for Speed. Meter per Second[cm/h], Meter per Minute[cm/h], Meter per Hour[cm/h] are the few other units in which Infiltration rate by Horton's equation can be measured.

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Infiltration rate by Horton's equation Formula

​GoEquation for Infiltration Capacity Formula

Infiltration rate by Horton's equation Example

Infiltration rate by Horton's equation Solution

Infiltration rate by Horton's equation Formula Elements

Other Formulas to find Infiltration Capacity at Any Time t

Other formulas in Infiltration Capacity Equation category

How to Evaluate Infiltration rate by Horton's equation?

FAQs on Infiltration rate by Horton's equation

Variable Name

GoEquation for Infiltration Capacity Formula