Coefficient of Aquifer Permeability given Water Table Profile Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Permeability = ((Natural Recharge/Water Table Profile^2)*(Length between Tile Drain-Flow in 'x' Direction)*Flow in 'x' Direction)
K = ((R/h^2)*(L-x)*x)
This formula uses 5 Variables
Variables Used
Coefficient of Permeability - (Measured in Centimeter per Second) - The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.
Natural Recharge - (Measured in Cubic Meter per Second) - The Natural Recharge is a process by which groundwater is replenished naturally when precipitation infiltrates the ground, moving through the soil and rock layers until it reaches the water table.
Water Table Profile - (Measured in Meter) - The Water Table Profile refers to the depth of water table below aquifer.
Length between Tile Drain - (Measured in Meter) - The Length between Tile Drain refers to the approximate expression to the water table profile on a horizontal impervious boundary.
Flow in 'x' Direction - (Measured in Cubic Meter per Second) - The Flow in 'x' Direction refers to the one-dimensional Dupit flow with recharge representation.
STEP 1: Convert Input(s) to Base Unit
Natural Recharge: 16 Cubic Meter per Second --> 16 Cubic Meter per Second No Conversion Required
Water Table Profile: 4 Meter --> 4 Meter No Conversion Required
Length between Tile Drain: 6 Meter --> 6 Meter No Conversion Required
Flow in 'x' Direction: 2 Cubic Meter per Second --> 2 Cubic Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
K = ((R/h^2)*(L-x)*x) --> ((16/4^2)*(6-2)*2)
Evaluating ... ...
K = 8
STEP 3: Convert Result to Output's Unit
0.08 Meter per Second -->8 Centimeter per Second (Check conversion ​here)
FINAL ANSWER
8 Centimeter per Second <-- Coefficient of Permeability
(Calculation completed in 00.008 seconds)

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One Dimensional Dupit's Flow with Recharge Calculators

Equation of Head for Unconfined Aquifer on Horizontal Impervious Base
​ LaTeX ​ Go Water Table Profile = sqrt(((-Natural Recharge*Flow in 'x' Direction^2)/Coefficient of Permeability)-(((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2-((Natural Recharge*Length between Upstream and Downstream^2)/Coefficient of Permeability))/Length between Upstream and Downstream)*Flow in 'x' Direction)+Piezometric Head at Upstream End^2)
Discharge per Unit Width of Aquifer at any Location x
​ LaTeX ​ Go Discharge of Aquifer at any Location x = Natural Recharge*(Flow in 'x' Direction-(Length between Upstream and Downstream/2))+(Coefficient of Permeability/2*Length between Upstream and Downstream)*(Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)
Discharge at Downstream Water Body of Catchment
​ LaTeX ​ Go Discharge at Downstream Side = ((Natural Recharge*Length between Upstream and Downstream)/2)+((Coefficient of Permeability/(2*Length between Upstream and Downstream))*(Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2))
Equation for Water Divide
​ LaTeX ​ Go Water Divide = (Length between Upstream and Downstream/2)-(Coefficient of Permeability/Natural Recharge)*((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)/2*Length between Upstream and Downstream)

Coefficient of Aquifer Permeability given Water Table Profile Formula

​LaTeX ​Go
Coefficient of Permeability = ((Natural Recharge/Water Table Profile^2)*(Length between Tile Drain-Flow in 'x' Direction)*Flow in 'x' Direction)
K = ((R/h^2)*(L-x)*x)

What is Groundwater Recharge?

Groundwater Recharge or deep drainage or deep percolation is a hydrologic process, where water moves downward from surface water to groundwater. Recharge is the primary method through which water enters an aquifer . This process usually occurs in the vadose zone below plant roots and, is often expressed as a flux to the water table surface.

How to Calculate Coefficient of Aquifer Permeability given Water Table Profile?

Coefficient of Aquifer Permeability given Water Table Profile calculator uses Coefficient of Permeability = ((Natural Recharge/Water Table Profile^2)*(Length between Tile Drain-Flow in 'x' Direction)*Flow in 'x' Direction) to calculate the Coefficient of Permeability, The Coefficient of Aquifer Permeability given Water Table Profile formula is defined as the measure of the capacity of the soil through which the water can easily flow through it. Coefficient of Permeability is denoted by K symbol.

How to calculate Coefficient of Aquifer Permeability given Water Table Profile using this online calculator? To use this online calculator for Coefficient of Aquifer Permeability given Water Table Profile, enter Natural Recharge (R), Water Table Profile (h), Length between Tile Drain (L) & Flow in 'x' Direction (x) and hit the calculate button. Here is how the Coefficient of Aquifer Permeability given Water Table Profile calculation can be explained with given input values -> 15.44282 = ((16/water_table_profile_^2)*(6-2)*2).

FAQ

What is Coefficient of Aquifer Permeability given Water Table Profile?
The Coefficient of Aquifer Permeability given Water Table Profile formula is defined as the measure of the capacity of the soil through which the water can easily flow through it and is represented as K = ((R/h^2)*(L-x)*x) or Coefficient of Permeability = ((Natural Recharge/Water Table Profile^2)*(Length between Tile Drain-Flow in 'x' Direction)*Flow in 'x' Direction). The Natural Recharge is a process by which groundwater is replenished naturally when precipitation infiltrates the ground, moving through the soil and rock layers until it reaches the water table, The Water Table Profile refers to the depth of water table below aquifer, The Length between Tile Drain refers to the approximate expression to the water table profile on a horizontal impervious boundary & The Flow in 'x' Direction refers to the one-dimensional Dupit flow with recharge representation.
How to calculate Coefficient of Aquifer Permeability given Water Table Profile?
The Coefficient of Aquifer Permeability given Water Table Profile formula is defined as the measure of the capacity of the soil through which the water can easily flow through it is calculated using Coefficient of Permeability = ((Natural Recharge/Water Table Profile^2)*(Length between Tile Drain-Flow in 'x' Direction)*Flow in 'x' Direction). To calculate Coefficient of Aquifer Permeability given Water Table Profile, you need Natural Recharge (R), Water Table Profile (h), Length between Tile Drain (L) & Flow in 'x' Direction (x). With our tool, you need to enter the respective value for Natural Recharge, Water Table Profile, Length between Tile Drain & Flow in 'x' Direction 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 Coefficient of Permeability?
In this formula, Coefficient of Permeability uses Natural Recharge, Water Table Profile, Length between Tile Drain & Flow in 'x' Direction. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Coefficient of Permeability = (Natural Recharge*Length between Tile Drain^2)/(2*Maximum Height of Water Table)^2
  • Coefficient of Permeability = (Discharge*2*Length between Upstream and Downstream)/((Piezometric Head at Upstream End^2)-(Piezometric Head at Downstream End^2))
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