Darcy's Hydraulic Conductivity given Infiltration Capacity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Hydraulic Conductivity = Infiltration Capacity at Any Time t-(1/2)*Sorptivity*Time^-1/2
k = fp-(1/2)*s*t^-1/2
This formula uses 4 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Infiltration Capacity at Any Time t: 16 Centimeter per Hour --> 16 Centimeter per Hour No Conversion Required
Sorptivity: 10 --> No Conversion Required
Time: 2 Hour --> 2 Hour No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
k = fp-(1/2)*s*t^-1/2 --> 16-(1/2)*10*2^-1/2
Evaluating ... ...
k = 14.75
STEP 3: Convert Result to Output's Unit
4.09722222222222E-05 Meter per Second -->14.75 Centimeter per Hour (Check conversion ​here)
FINAL ANSWER
14.75 Centimeter per Hour <-- Hydraulic Conductivity
(Calculation completed in 00.004 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

Darcy's Hydraulic Conductivity given Infiltration Capacity Formula

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

What is Soil Hydraulic Conductivity?

In scientific terms, hydraulic conductivity is defined as the ability of a porous medium (soil for instance) to transmit water under saturated or nearly saturated conditions.

What is 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 soils surface layers increases.

How to Calculate Darcy's Hydraulic Conductivity given Infiltration Capacity?

Darcy's Hydraulic Conductivity given Infiltration Capacity calculator uses Hydraulic Conductivity = Infiltration Capacity at Any Time t-(1/2)*Sorptivity*Time^-1/2 to calculate the Hydraulic Conductivity, The Darcy's Hydraulic Conductivity given Infiltration Capacity formula is defined as the determination of the vertical position of the water table in a well relative to a reference surface. Hydraulic Conductivity is denoted by k symbol.

How to calculate Darcy's Hydraulic Conductivity given Infiltration Capacity using this online calculator? To use this online calculator for Darcy's Hydraulic Conductivity given Infiltration Capacity, enter Infiltration Capacity at Any Time t (fp), Sorptivity (s) & Time (t) and hit the calculate button. Here is how the Darcy's Hydraulic Conductivity given Infiltration Capacity calculation can be explained with given input values -> 5.3E+6 = 4.44444444444444E-05-(1/2)*10*7200^-1/2.

FAQ

What is Darcy's Hydraulic Conductivity given Infiltration Capacity?
The Darcy's Hydraulic Conductivity given Infiltration Capacity formula is defined as the determination of the vertical position of the water table in a well relative to a reference surface and is represented as k = fp-(1/2)*s*t^-1/2 or Hydraulic Conductivity = Infiltration Capacity at Any Time t-(1/2)*Sorptivity*Time^-1/2. Infiltration Capacity at Any Time t from the start of the rainfall is the rate at which water percolates in the soil, 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.
How to calculate Darcy's Hydraulic Conductivity given Infiltration Capacity?
The Darcy's Hydraulic Conductivity given Infiltration Capacity formula is defined as the determination of the vertical position of the water table in a well relative to a reference surface is calculated using Hydraulic Conductivity = Infiltration Capacity at Any Time t-(1/2)*Sorptivity*Time^-1/2. To calculate Darcy's Hydraulic Conductivity given Infiltration Capacity, you need Infiltration Capacity at Any Time t (fp), Sorptivity (s) & Time (t). With our tool, you need to enter the respective value for Infiltration Capacity at Any Time t, Sorptivity & 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 Hydraulic Conductivity?
In this formula, Hydraulic Conductivity uses Infiltration Capacity at Any Time t, Sorptivity & Time. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Hydraulic Conductivity = (Cumulative Infiltration Capacity-(Sorptivity*Time^(1/2)))/Time
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