Length when Maximum Height of Water Table is Considered Calculator

✖Maximum Height of Water Table observed.ⓘ Maximum Height of Water Table [h_m]			+10% -10%
✖Natural Recharge is the replenishment of infiltrating groundwater.ⓘ Natural Recharge [R]			+10% -10%
✖The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability [K]			+10% -10%

✖Length between tile drain considered to establish an approximate expression to the water table profile on a horizontal impervious boundary.ⓘ Length when Maximum Height of Water Table is Considered [L]

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Formula

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Length when Maximum Height of Water Table is Considered

Formula

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

Example

`"6m"=2*"40m"/sqrt("16m³/s"/"9cm/s")`

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Length when Maximum Height of Water Table is Considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length between tile drain = 2*Maximum Height of Water Table/sqrt(Natural Recharge/Coefficient of Permeability)
L = 2*h_m/sqrt(R/K)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
Natural Recharge - (Measured in Cubic Meter per Second) - Natural Recharge is the replenishment of infiltrating groundwater.
Coefficient of Permeability - (Measured in Meter per Second) - The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.

STEP 1: Convert Input(s) to Base Unit

Maximum Height of Water Table: 40 Meter --> 40 Meter No Conversion Required
Natural Recharge: 16 Cubic Meter per Second --> 16 Cubic Meter per Second No Conversion Required
Coefficient of Permeability: 9 Centimeter per Second --> 0.09 Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = 2*h_m/sqrt(R/K) --> 2*40/sqrt(16/0.09)

Evaluating ... ...

L = 6

STEP 3: Convert Result to Output's Unit

6 Meter --> No Conversion Required

FINAL ANSWER

6 Meter <-- Length between tile drain

(Calculation completed in 00.004 seconds)

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< 10+ Unconfined Flow by Dupit's Assumption Calculators

Water table profile neglecting depths of water in drains

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

Change in Drawdown given Discharge

Go Change in Drawdown = Discharge*ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)/2*pi*Transmissivity

Natural Recharge given total head

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

Length about discharge per unit width of aquifer

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

Discharge per unit width of aquifer is

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

Maximum Height of Water Table

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

Length when Maximum Height of Water Table is Considered

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

Mass Flux Entering Element

Go Mass Flux Entering the element = Water Density*Gross Velocity of Groundwater*Head*Change in 'y' Direction

Recharge when Maximum Height of Water Table

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

Length when discharge entering per unit length of drain is considered

Go Length between tile drain = Discharge/Natural Recharge

Length when Maximum Height of Water Table is Considered Formula

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

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 Length when Maximum Height of Water Table is Considered?

Length when Maximum Height of Water Table is Considered calculator uses Length between tile drain = 2*Maximum Height of Water Table/sqrt(Natural Recharge/Coefficient of Permeability) to calculate the Length between tile drain, The length when maximum height of water table is considered is defined as length of drain when the maximum depth of water table at water divide a=L/2 is established. Length between tile drain is denoted by L symbol.

How to calculate Length when Maximum Height of Water Table is Considered using this online calculator? To use this online calculator for Length when Maximum Height of Water Table is Considered, enter Maximum Height of Water Table (h_m), Natural Recharge (R) & Coefficient of Permeability (K) and hit the calculate button. Here is how the Length when Maximum Height of Water Table is Considered calculation can be explained with given input values -> 6 = 2*40/sqrt(16/0.09).

FAQ

What is Length when Maximum Height of Water Table is Considered?

The length when maximum height of water table is considered is defined as length of drain when the maximum depth of water table at water divide a=L/2 is established and is represented as L = 2*h_m/sqrt(R/K) or Length between tile drain = 2*Maximum Height of Water Table/sqrt(Natural Recharge/Coefficient of Permeability). Maximum Height of Water Table observed, Natural Recharge is the replenishment of infiltrating groundwater & The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.

How to calculate Length when Maximum Height of Water Table is Considered?

The length when maximum height of water table is considered is defined as length of drain when the maximum depth of water table at water divide a=L/2 is established is calculated using Length between tile drain = 2*Maximum Height of Water Table/sqrt(Natural Recharge/Coefficient of Permeability). To calculate Length when Maximum Height of Water Table is Considered, you need Maximum Height of Water Table (h_m), Natural Recharge (R) & Coefficient of Permeability (K). With our tool, you need to enter the respective value for Maximum Height of Water Table, Natural Recharge & Coefficient of Permeability 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 Length between tile drain?

In this formula, Length between tile drain uses Maximum Height of Water Table, Natural Recharge & Coefficient of Permeability. We can use 1 other way(s) to calculate the same, which is/are as follows -

Length between tile drain = Discharge/Natural Recharge

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