Green Ampt Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Infiltration Capacity at Any Time t = Darcy's Hydraulic Conductivity*(1+(Porosity*Capillary Suction at Wetting Front)/Cumulative Infiltration Capacity)
fp = K*(1+(η*Sc)/Fp)
This formula uses 5 Variables
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.
Darcy's Hydraulic Conductivity - (Measured in Centimeter per Hour) - Darcy's Hydraulic Conductivity measures soil's ability to transmit water, vital in understanding groundwater flow and environmental processes.
Porosity - Porosity is the ratio of volume of voids to volume of soil.
Capillary Suction at Wetting Front - Capillary Suction at Wetting Front is due to capillary attraction in the soil voids and is large for fine grained soils such as clays and small for sandy soils.
Cumulative Infiltration Capacity - (Measured in Centimeter per Hour) - Cumulative Infiltration Capacity is calculated by subtracting the cumulative runoff from the cumulative rainfall.
STEP 1: Convert Input(s) to Base Unit
Darcy's Hydraulic Conductivity: 13 Centimeter per Hour --> 13 Centimeter per Hour No Conversion Required
Porosity: 0.5 --> No Conversion Required
Capillary Suction at Wetting Front: 6 --> No Conversion Required
Cumulative Infiltration Capacity: 20 Centimeter per Hour --> 20 Centimeter per Hour No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fp = K*(1+(η*Sc)/Fp) --> 13*(1+(0.5*6)/20)
Evaluating ... ...
fp = 14.95
STEP 3: Convert Result to Output's Unit
4.15277777777778E-05 Meter per Second -->14.95 Centimeter per Hour (Check conversion here)
FINAL ANSWER
14.95 Centimeter per Hour <-- Infiltration Capacity at Any Time t
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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6 Green-Ampt Equation (1911) Calculators

Darcy's Hydraulic Conductivity given Infiltration Capacity from Green-Ampt Equation
Go Darcy's Hydraulic Conductivity = Infiltration Capacity at Any Time t/(1+(Porosity*Capillary Suction at Wetting Front)/Cumulative Infiltration Capacity)
Green Ampt Equation
Go Infiltration Capacity at Any Time t = Darcy's Hydraulic Conductivity*(1+(Porosity*Capillary Suction at Wetting Front)/Cumulative Infiltration Capacity)
Porosity of Soil given Infiltration Capacity from Green-Ampt Equation
Go Porosity = (Infiltration Capacity at Any Time t/Darcy's Hydraulic Conductivity-1)*Cumulative Infiltration Capacity/Capillary Suction at Wetting Front
Capillary Suction given Infiltration Capacity
Go Capillary Suction at Wetting Front = (Infiltration Capacity at Any Time t/Darcy's Hydraulic Conductivity-1)*Cumulative Infiltration Capacity/Porosity
Cumulative Infiltration Capacity given Green-Ampt Parameters of Infiltration Model
Go Cumulative Infiltration Capacity = Parameter 'n' of Infiltration Model by Green-Ampt/(Infiltration Capacity at Any Time t-Parameter 'm' of Infiltration Model by Green-Ampt)
Infiltration Capacity given Green-Ampt Parameters of Infiltration Model
Go Infiltration Capacity at Any Time t = Parameter 'm' of Infiltration Model by Green-Ampt+Parameter 'n' of Infiltration Model by Green-Ampt/Cumulative Infiltration Capacity

Green Ampt Equation Formula

Infiltration Capacity at Any Time t = Darcy's Hydraulic Conductivity*(1+(Porosity*Capillary Suction at Wetting Front)/Cumulative Infiltration Capacity)
fp = K*(1+(η*Sc)/Fp)

What is Green Ampt equation?

The Basic assumption behind the Green and Ampt equation is that water infiltrates into (relatively) dry soil as a sharp wetting front. The passage of this front causes the moisture content to increase from an initial value to a saturated value.

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 Green Ampt Equation?

Green Ampt Equation calculator uses Infiltration Capacity at Any Time t = Darcy's Hydraulic Conductivity*(1+(Porosity*Capillary Suction at Wetting Front)/Cumulative Infiltration Capacity) to calculate the Infiltration Capacity at Any Time t, The Green Ampt Equation formula is defined as a simplified representation of the infiltration process. It assumes a homogeneous soil profile and a uniform distribution of initial soil water content. Infiltration Capacity at Any Time t is denoted by fp symbol.

How to calculate Green Ampt Equation using this online calculator? To use this online calculator for Green Ampt Equation, enter Darcy's Hydraulic Conductivity (K), Porosity (η), Capillary Suction at Wetting Front (Sc) & Cumulative Infiltration Capacity (Fp) and hit the calculate button. Here is how the Green Ampt Equation calculation can be explained with given input values -> 1.2E+6 = 3.61111111111111E-05*(1+(0.5*6)/5.55555555555556E-05).

FAQ

What is Green Ampt Equation?
The Green Ampt Equation formula is defined as a simplified representation of the infiltration process. It assumes a homogeneous soil profile and a uniform distribution of initial soil water content and is represented as fp = K*(1+(η*Sc)/Fp) or Infiltration Capacity at Any Time t = Darcy's Hydraulic Conductivity*(1+(Porosity*Capillary Suction at Wetting Front)/Cumulative Infiltration Capacity). Darcy's Hydraulic Conductivity measures soil's ability to transmit water, vital in understanding groundwater flow and environmental processes, Porosity is the ratio of volume of voids to volume of soil, Capillary Suction at Wetting Front is due to capillary attraction in the soil voids and is large for fine grained soils such as clays and small for sandy soils & Cumulative Infiltration Capacity is calculated by subtracting the cumulative runoff from the cumulative rainfall.
How to calculate Green Ampt Equation?
The Green Ampt Equation formula is defined as a simplified representation of the infiltration process. It assumes a homogeneous soil profile and a uniform distribution of initial soil water content is calculated using Infiltration Capacity at Any Time t = Darcy's Hydraulic Conductivity*(1+(Porosity*Capillary Suction at Wetting Front)/Cumulative Infiltration Capacity). To calculate Green Ampt Equation, you need Darcy's Hydraulic Conductivity (K), Porosity (η), Capillary Suction at Wetting Front (Sc) & Cumulative Infiltration Capacity (Fp). With our tool, you need to enter the respective value for Darcy's Hydraulic Conductivity, Porosity, Capillary Suction at Wetting Front & Cumulative Infiltration Capacity 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 Darcy's Hydraulic Conductivity, Porosity, Capillary Suction at Wetting Front & Cumulative Infiltration Capacity. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Infiltration Capacity at Any Time t = Parameter 'm' of Infiltration Model by Green-Ampt+Parameter 'n' of Infiltration Model by Green-Ampt/Cumulative Infiltration Capacity
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