Maximum Height of Water Table Calculator

✖The Length between Tile Drain refers to the approximate expression to the water table profile on a horizontal impervious boundary.ⓘ Length between Tile Drain [L]			+10% -10%
✖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.ⓘ 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%

✖The Maximum Height of Water Table refers to the water table refers to the highest level at which the water table can be found in a given area.ⓘ Maximum Height of Water Table [h_m]

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Formula

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Maximum Height of Water Table

Formula

h m = (\frac{L}{2}) \cdot \sqrt{\frac{R}{K}}

Example

40 m = (\frac{6 m}{2}) \cdot \sqrt{\frac{16 m³/s}{9 cm/s}}

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Maximum Height of Water Table Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Height of Water Table = (Length between Tile Drain/2)*sqrt(Natural Recharge/Coefficient of Permeability)
h_m = (L/2)*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

Maximum Height of Water Table - (Measured in Meter) - The Maximum Height of Water Table refers to the water table refers to the highest level at which the water table can be found in a given area.
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.
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.
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

Length between Tile Drain: 6 Meter --> 6 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

h_m = (L/2)*sqrt(R/K) --> (6/2)*sqrt(16/0.09)

Evaluating ... ...

h_m = 40

STEP 3: Convert Result to Output's Unit

40 Meter --> No Conversion Required

FINAL ANSWER

40 Meter <-- Maximum Height of Water Table

(Calculation completed in 00.020 seconds)

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< 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)

Discharge per Unit Width of Aquifer considering Permeability

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)

Mass Flux Entering Element

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

Maximum Height of Water Table Formula

Maximum Height of Water Table = (Length between Tile Drain/2)*sqrt(Natural Recharge/Coefficient of Permeability)
h_m = (L/2)*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 Maximum Height of Water Table?

Maximum Height of Water Table calculator uses Maximum Height of Water Table = (Length between Tile Drain/2)*sqrt(Natural Recharge/Coefficient of Permeability) to calculate the Maximum Height of Water Table, The Maximum Height of Water Table is defined as the overall maximum height of the upper surface of the zone of saturation. The zone of saturation is where the pores and fractures of the ground are saturated with water. Maximum Height of Water Table is denoted by h_m symbol.

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

FAQ

What is Maximum Height of Water Table?

The Maximum Height of Water Table is defined as the overall maximum height of the upper surface of the zone of saturation. The zone of saturation is where the pores and fractures of the ground are saturated with water and is represented as h_m = (L/2)*sqrt(R/K) or Maximum Height of Water Table = (Length between Tile Drain/2)*sqrt(Natural Recharge/Coefficient of Permeability). The Length between Tile Drain refers to the approximate expression to the water table profile on a horizontal impervious boundary, 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 Coefficient of Permeability of soil describes how easily a liquid will move through the soil.

How to calculate Maximum Height of Water Table?

The Maximum Height of Water Table is defined as the overall maximum height of the upper surface of the zone of saturation. The zone of saturation is where the pores and fractures of the ground are saturated with water is calculated using Maximum Height of Water Table = (Length between Tile Drain/2)*sqrt(Natural Recharge/Coefficient of Permeability). To calculate Maximum Height of Water Table, you need Length between Tile Drain (L), Natural Recharge (R) & Coefficient of Permeability (K). With our tool, you need to enter the respective value for Length between Tile Drain, 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.

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