Water Table Profile Neglecting Depths of Water in Drains Solution

STEP 0: Pre-Calculation Summary
Formula Used
Water Table Profile = sqrt((Natural Recharge/Coefficient of Permeability)*(Length between Tile Drain-Flow in 'x' Direction)*Flow in 'x' Direction)
h = sqrt((R/K)*(L-x)*x)
This formula uses 1 Functions, 5 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
Water Table Profile - (Measured in Meter) - The Water Table Profile refers to the depth of water table below aquifer.
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 Centimeter per Second) - The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.
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
Coefficient of Permeability: 9 Centimeter per Second --> 9 Centimeter per Second 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
h = sqrt((R/K)*(L-x)*x) --> sqrt((16/9)*(6-2)*2)
Evaluating ... ...
h = 3.77123616632825
STEP 3: Convert Result to Output's Unit
3.77123616632825 Meter --> No Conversion Required
FINAL ANSWER
3.77123616632825 3.771236 Meter <-- Water Table Profile
(Calculation completed in 00.004 seconds)

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Unconfined Flow by Dupit's Assumption Calculators

Water Table Profile Neglecting Depths of Water in Drains
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Maximum Height of Water Table = (Length between Tile Drain/2)*sqrt(Natural Recharge/Coefficient of Permeability)
Mass Flux Entering Element
​ LaTeX ​ Go Mass Flux Entering the Element = Water Density*Gross Velocity of Groundwater*Head*Change in 'y' Direction

Water Table Profile Neglecting Depths of Water in Drains Formula

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

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 Water Table Profile Neglecting Depths of Water in Drains?

Water Table Profile Neglecting Depths of Water in Drains calculator uses Water Table Profile = sqrt((Natural Recharge/Coefficient of Permeability)*(Length between Tile Drain-Flow in 'x' Direction)*Flow in 'x' Direction) to calculate the Water Table Profile, The Water Table Profile Neglecting Depths of Water in Drains formula is defined as the upper surface of the zone of saturation, where the pores and fractures of the ground are saturated with water. Water Table Profile is denoted by h symbol.

How to calculate Water Table Profile Neglecting Depths of Water in Drains using this online calculator? To use this online calculator for Water Table Profile Neglecting Depths of Water in Drains, enter Natural Recharge (R), Coefficient of Permeability (K), Length between Tile Drain (L) & Flow in 'x' Direction (x) and hit the calculate button. Here is how the Water Table Profile Neglecting Depths of Water in Drains calculation can be explained with given input values -> 3.771236 = sqrt((16/0.09)*(6-2)*2).

FAQ

What is Water Table Profile Neglecting Depths of Water in Drains?
The Water Table Profile Neglecting Depths of Water in Drains formula is defined as the upper surface of the zone of saturation, where the pores and fractures of the ground are saturated with water and is represented as h = sqrt((R/K)*(L-x)*x) or Water Table Profile = sqrt((Natural Recharge/Coefficient of Permeability)*(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 Coefficient of Permeability of soil describes how easily a liquid will move through the soil, 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 Water Table Profile Neglecting Depths of Water in Drains?
The Water Table Profile Neglecting Depths of Water in Drains formula is defined as the upper surface of the zone of saturation, where the pores and fractures of the ground are saturated with water is calculated using Water Table Profile = sqrt((Natural Recharge/Coefficient of Permeability)*(Length between Tile Drain-Flow in 'x' Direction)*Flow in 'x' Direction). To calculate Water Table Profile Neglecting Depths of Water in Drains, you need Natural Recharge (R), Coefficient of Permeability (K), Length between Tile Drain (L) & Flow in 'x' Direction (x). With our tool, you need to enter the respective value for Natural Recharge, Coefficient of Permeability, 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.
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