Equation for Infiltration Capacity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Infiltration Capacity at Any Time t = (1/2)*Sorptivity*Time^(-1/2)+Hydraulic Conductivity
fp = (1/2)*s*t^(-1/2)+k
This formula uses 4 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.
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
fp = (1/2)*s*t^(-1/2)+k --> (1/2)*10*2^(-1/2)+2.93
Evaluating ... ...
fp = 6.46553390593274
STEP 3: Convert Result to Output's Unit
1.79598164053687E-05 Meter per Second -->6.46553390593274 Centimeter per Hour (Check conversion ​here)
FINAL ANSWER
6.46553390593274 6.465534 Centimeter per Hour <-- Infiltration Capacity at Any Time t
(Calculation completed in 00.020 seconds)

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Infiltration Capacity Equation Calculators

Infiltration rate by Horton's equation
​ LaTeX ​ Go Infiltration Capacity at Any Time t = Final Steady State Infiltration Capacity+(Initial Infiltration Capacity-Final Steady State Infiltration Capacity)*exp(-(Decay Coefficient*Time))
Sorptivity for Cumulative Infiltration Capacity is from Philip's Equation
​ LaTeX ​ Go Sorptivity = (Cumulative Infiltration Capacity-Hydraulic Conductivity*Time)/(Time^(1/2))
Philip's Equation
​ LaTeX ​ Go Cumulative Infiltration Capacity = Sorptivity*Time^(1/2)+Hydraulic Conductivity*Time
Kostiakov Equation
​ LaTeX ​ Go Cumulative Infiltration Capacity = Local Parameter a*Time^Local Parameter b

Equation for Infiltration Capacity Formula

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

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 Equation for Infiltration Capacity?

Equation for Infiltration Capacity calculator uses Infiltration Capacity at Any Time t = (1/2)*Sorptivity*Time^(-1/2)+Hydraulic Conductivity to calculate the Infiltration Capacity at Any Time t, The Equation for Infiltration Capacity formula 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. Infiltration Capacity at Any Time t is denoted by fp symbol.

How to calculate Equation for Infiltration Capacity using this online calculator? To use this online calculator for Equation for Infiltration Capacity, enter Sorptivity (s), Time (t) & Hydraulic Conductivity (k) and hit the calculate button. Here is how the Equation for Infiltration Capacity calculation can be explained with given input values -> 2.3E+6 = (1/2)*10*7200^(-1/2)+8.13888888888889E-06.

FAQ

What is Equation for Infiltration Capacity?
The Equation for Infiltration Capacity formula 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 and is represented as fp = (1/2)*s*t^(-1/2)+k or Infiltration Capacity at Any Time t = (1/2)*Sorptivity*Time^(-1/2)+Hydraulic Conductivity. 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 Equation for Infiltration Capacity?
The Equation for Infiltration Capacity formula 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 is calculated using Infiltration Capacity at Any Time t = (1/2)*Sorptivity*Time^(-1/2)+Hydraulic Conductivity. To calculate Equation for Infiltration Capacity, 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 Infiltration Capacity at Any Time t?
In this formula, Infiltration Capacity at Any Time t uses Sorptivity, Time & Hydraulic Conductivity. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Infiltration Capacity at Any Time t = Final Steady State Infiltration Capacity+(Initial Infiltration Capacity-Final Steady State Infiltration Capacity)*exp(-(Decay Coefficient*Time))
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