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)
hm = (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) - Maximum Height of Water Table observed.
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.
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
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
hm = (L/2)*sqrt(R/K) --> (6/2)*sqrt(16/0.09)
Evaluating ... ...
hm = 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 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has verified this Calculator and 1700+ more calculators!

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

Maximum Height of Water Table Formula

Maximum Height of Water Table = (Length between tile drain/2)*sqrt(Natural Recharge/Coefficient of Permeability)
hm = (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 hm 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 hm = (L/2)*sqrt(R/K) or Maximum Height of Water Table = (Length between tile drain/2)*sqrt(Natural Recharge/Coefficient of Permeability). Length between tile drain considered to establish an approximate expression to the water table profile on a horizontal impervious boundary, 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 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!