Philip's Equation Calculator

✖Sorptivity is a function of soil suction potential and measures the capacity of the medium to absorb or desorb liquid by capillarity.ⓘ Sorptivity [s]			+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%
✖Hydraulic Conductivity depends on the size and arrangement of the water-transmitting openings and on the dynamic characteristics of the fluid.ⓘ Hydraulic Conductivity [k]			+10% -10%

✖Cumulative Infiltration Capacity is calculated by subtracting the cumulative runoff from the cumulative rainfall.ⓘ Philip's Equation [F_p]

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Formula

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Philip's Equation

Formula

`"F"_{"p"} = "s"*"t"^(1/2)+"k"*"t"`

Example

`"20.00214cm/h"="10"*("2h")^(1/2)+"2.93cm/h"*"2h"`

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Philip's Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cumulative Infiltration Capacity = Sorptivity*Time^(1/2)+Hydraulic Conductivity*Time
F_p = s*t^(1/2)+k*t
This formula uses 4 Variables

Variables Used

Cumulative Infiltration Capacity - (Measured in Centimeter per Hour) - Cumulative Infiltration Capacity is calculated by subtracting the cumulative runoff from the cumulative rainfall.
Sorptivity - Sorptivity is a function of soil suction potential and measures the capacity of the medium to absorb or desorb liquid by capillarity.
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.
Hydraulic Conductivity - (Measured in Centimeter per Hour) - Hydraulic Conductivity depends on the size and arrangement of the water-transmitting openings and on the dynamic characteristics of the fluid.

STEP 1: Convert Input(s) to Base Unit

Sorptivity: 10 --> No Conversion Required
Time: 2 Hour --> 2 Hour No Conversion Required
Hydraulic Conductivity: 2.93 Centimeter per Hour --> 2.93 Centimeter per Hour No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_p = s*t^(1/2)+k*t --> 10*2^(1/2)+2.93*2

Evaluating ... ...

F_p = 20.002135623731

STEP 3: Convert Result to Output's Unit

5.55614878436971E-05 Meter per Second -->20.002135623731 Centimeter per Hour (Check conversion here)

FINAL ANSWER

20.002135623731 ≈ 20.00214 Centimeter per Hour <-- Cumulative Infiltration Capacity

(Calculation completed in 00.020 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

Philip's Equation Formula

Cumulative Infiltration Capacity = Sorptivity*Time^(1/2)+Hydraulic Conductivity*Time
F_p = s*t^(1/2)+k*t

What is Infiltration Rate?

Infiltration Rates are a measure of how fast water enters the soil and are typically expressed in inches per hour. For initial in-field assessments, however, it is more practical to express infiltration time in the number of minutes it takes soil to absorb each inch of water applied to the soil surface.

How to Calculate Philip's Equation?

Philip's Equation calculator uses Cumulative Infiltration Capacity = Sorptivity*Time^(1/2)+Hydraulic Conductivity*Time to calculate the Cumulative Infiltration Capacity, The Philip's Equation for Cumulative infiltration is the total volume of water infiltrated per unit area of soil surface during a specified time period. Cumulative Infiltration Capacity is denoted by F_p symbol.

How to calculate Philip's Equation using this online calculator? To use this online calculator for Philip's Equation, enter Sorptivity (s), Time (t) & Hydraulic Conductivity (k) and hit the calculate button. Here is how the Philip's Equation calculation can be explained with given input values -> 7.2E+6 = 10*7200^(1/2)+8.13888888888889E-06*7200.

FAQ

What is Philip's Equation?

The Philip's Equation for Cumulative infiltration is the total volume of water infiltrated per unit area of soil surface during a specified time period and is represented as F_p = s*t^(1/2)+k*t or Cumulative Infiltration Capacity = Sorptivity*Time^(1/2)+Hydraulic Conductivity*Time. Sorptivity is a function of soil suction potential and measures the capacity of the medium to absorb or desorb liquid by capillarity, 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 & Hydraulic Conductivity depends on the size and arrangement of the water-transmitting openings and on the dynamic characteristics of the fluid.

How to calculate Philip's Equation?

The Philip's Equation for Cumulative infiltration is the total volume of water infiltrated per unit area of soil surface during a specified time period is calculated using Cumulative Infiltration Capacity = Sorptivity*Time^(1/2)+Hydraulic Conductivity*Time. To calculate Philip's Equation, you need Sorptivity (s), Time (t) & Hydraulic Conductivity (k). With our tool, you need to enter the respective value for Sorptivity, Time & Hydraulic Conductivity 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 Cumulative Infiltration Capacity?

In this formula, Cumulative Infiltration Capacity uses Sorptivity, Time & Hydraulic Conductivity. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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