Coefficient of Aquifer Permeability given Maximum Height of Water Table Calculator

✖Natural Recharge is the replenishment of infiltrating groundwater.ⓘ Natural Recharge [R]			+10% -10%
✖Length between tile drain considered to establish an approximate expression to the water table profile on a horizontal impervious boundary.ⓘ Length between tile drain [L]			+10% -10%
✖Maximum Height of Water Table observed.ⓘ Maximum Height of Water Table [h_m]			+10% -10%

✖The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.ⓘ Coefficient of Aquifer Permeability given Maximum Height of Water Table [K]

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Formula

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Coefficient of Aquifer Permeability given Maximum Height of Water Table

Formula

`"K" = ("R"*"L"^2)/(2*"h"_{"m"})^2`

Example

`"9cm/s"=("16m³/s"*("6m")^2)/(2*"40m")^2`

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Coefficient of Aquifer Permeability given Maximum Height of Water Table Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Permeability = (Natural Recharge*Length between tile drain^2)/(2*Maximum Height of Water Table)^2
K = (R*L^2)/(2*h_m)^2
This formula uses 4 Variables

Variables Used

Coefficient of Permeability - (Measured in Meter 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) - Natural Recharge is the replenishment of infiltrating groundwater.
Length between tile drain - (Measured in Meter) - Length between tile drain considered to establish an approximate expression to the water table profile on a horizontal impervious boundary.
Maximum Height of Water Table - (Measured in Meter) - Maximum Height of Water Table observed.

STEP 1: Convert Input(s) to Base Unit

Natural Recharge: 16 Cubic Meter per Second --> 16 Cubic Meter per Second No Conversion Required
Length between tile drain: 6 Meter --> 6 Meter No Conversion Required
Maximum Height of Water Table: 40 Meter --> 40 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = (R*L^2)/(2*h_m)^2 --> (16*6^2)/(2*40)^2

Evaluating ... ...

K = 0.09

STEP 3: Convert Result to Output's Unit

0.09 Meter per Second -->9 Centimeter per Second (Check conversion here)

FINAL ANSWER

9 Centimeter per Second <-- Coefficient of Permeability

(Calculation completed in 00.004 seconds)

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< 8 One Dimensional Dupit's flow with Recharge Calculators

Equation for head for unconfined aquifer on horizontal impervious base

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

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

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

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

Go Coefficient of Permeability = ((Natural Recharge/Water Table Profile^2)*(Length between tile drain-Flow in 'x' Direction)*Flow in 'x' Direction)

Coefficient of aquifer permeability when discharge per unit width of aquifer

Go Coefficient of Permeability = (Discharge*2*Length between upstream and downstream)/((Piezometric Head at Upstream End^2)-(Piezometric Head at Downstream End^2))

Coefficient of Aquifer Permeability given Maximum Height of Water Table

Go Coefficient of Permeability = (Natural Recharge*Length between tile drain^2)/(2*Maximum Height of Water Table)^2

Discharge entering drain per unit length of drain

Go Discharge per unit length of the drain = 2*(Natural Recharge*(Length between tile drain/2))

Coefficient of Aquifer Permeability given Maximum Height of Water Table Formula

Coefficient of Permeability = (Natural Recharge*Length between tile drain^2)/(2*Maximum Height of Water Table)^2
K = (R*L^2)/(2*h_m)^2

What is Recharge?

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. Groundwater recharge also encompasses water moving away from the water table farther into the saturated zone.

How to Calculate Coefficient of Aquifer Permeability given Maximum Height of Water Table?

Coefficient of Aquifer Permeability given Maximum Height of Water Table calculator uses Coefficient of Permeability = (Natural Recharge*Length between tile drain^2)/(2*Maximum Height of Water Table)^2 to calculate the Coefficient of Permeability, The Coefficient of Aquifer Permeability given Maximum Height of Water Table describes how easily a liquid will move through the soil. Coefficient of Permeability is denoted by K symbol.

How to calculate Coefficient of Aquifer Permeability given Maximum Height of Water Table using this online calculator? To use this online calculator for Coefficient of Aquifer Permeability given Maximum Height of Water Table, enter Natural Recharge (R), Length between tile drain (L) & Maximum Height of Water Table (h_m) and hit the calculate button. Here is how the Coefficient of Aquifer Permeability given Maximum Height of Water Table calculation can be explained with given input values -> 900 = (16*6^2)/(2*40)^2.

FAQ

What is Coefficient of Aquifer Permeability given Maximum Height of Water Table?

The Coefficient of Aquifer Permeability given Maximum Height of Water Table describes how easily a liquid will move through the soil and is represented as K = (R*L^2)/(2*h_m)^2 or Coefficient of Permeability = (Natural Recharge*Length between tile drain^2)/(2*Maximum Height of Water Table)^2. Natural Recharge is the replenishment of infiltrating groundwater, Length between tile drain considered to establish an approximate expression to the water table profile on a horizontal impervious boundary & Maximum Height of Water Table observed.

How to calculate Coefficient of Aquifer Permeability given Maximum Height of Water Table?

The Coefficient of Aquifer Permeability given Maximum Height of Water Table describes how easily a liquid will move through the soil is calculated using Coefficient of Permeability = (Natural Recharge*Length between tile drain^2)/(2*Maximum Height of Water Table)^2. To calculate Coefficient of Aquifer Permeability given Maximum Height of Water Table, you need Natural Recharge (R), Length between tile drain (L) & Maximum Height of Water Table (h_m). With our tool, you need to enter the respective value for Natural Recharge, Length between tile drain & Maximum Height of Water Table 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, Length between tile drain & Maximum Height of Water Table. We can use 2 other way(s) to calculate the same, which is/are as follows -

Coefficient of Permeability = ((Natural Recharge/Water Table Profile^2)*(Length between tile drain-Flow in 'x' Direction)*Flow in 'x' Direction)
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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