Height of Saturated Zone given Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Saturated Zone = sqrt(((2*Discharge*Distance Between IG and Source)/Coefficient of Permeability)+(Depth of Water in Infiltration Gallery)^2)
H = sqrt(((2*Q*L)/k)+(Ho)^2)
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
Height of Saturated Zone - (Measured in Meter) - Height of saturated zone is the height of the Ground level at the infiltration gallery which is considered at some distance from the source.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Distance Between IG and Source - (Measured in Meter) - Distance Between IG and Source is defined as the distance between the infiltration gallery and the source point.
Coefficient of Permeability - (Measured in Meter per Second) - The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.
Depth of Water in Infiltration Gallery - (Measured in Meter) - Depth of Water in Infiltration Gallery is defined as the depth of water which is considered inside the infiltration gallery.
STEP 1: Convert Input(s) to Base Unit
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Distance Between IG and Source: 10 Meter --> 10 Meter No Conversion Required
Coefficient of Permeability: 10 Centimeter per Second --> 0.1 Meter per Second (Check conversion here)
Depth of Water in Infiltration Gallery: 10.31 Meter --> 10.31 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
H = sqrt(((2*Q*L)/k)+(Ho)^2) --> sqrt(((2*1.01*10)/0.1)+(10.31)^2)
Evaluating ... ...
H = 17.5583626799312
STEP 3: Convert Result to Output's Unit
17.5583626799312 Meter --> No Conversion Required
FINAL ANSWER
17.5583626799312 17.55836 Meter <-- Height of Saturated Zone
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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5 Flow into Infiltration Gallery Calculators

Depth of Water in Gallery given Discharge
Go Depth of Water in Infiltration Gallery = sqrt((Height of Saturated Zone)^2-((2*Discharge*Distance Between IG and Source)/Coefficient of Permeability))
Height of Saturated Zone given Discharge
Go Height of Saturated Zone = sqrt(((2*Discharge*Distance Between IG and Source)/Coefficient of Permeability)+(Depth of Water in Infiltration Gallery)^2)
Discharge Passing through Vertical Section of Infiltration Gallery
Go Discharge = (Coefficient of Permeability*((Height of Saturated Zone)^2-(Depth of Water in Infiltration Gallery)^2))/(2*Distance Between IG and Source)
Distance between Infiltration Gallery and Source given Discharge
Go Distance Between IG and Source = (Coefficient of Permeability*((Height of Saturated Zone)^2-(Depth of Water in Infiltration Gallery)^2))/(2*Discharge)
Coefficient of Permeability given Discharge
Go Coefficient of Permeability = Discharge/(((Height of Saturated Zone)^2-(Depth of Water in Infiltration Gallery)^2)/(2*Distance Between IG and Source))

Height of Saturated Zone given Discharge Formula

Height of Saturated Zone = sqrt(((2*Discharge*Distance Between IG and Source)/Coefficient of Permeability)+(Depth of Water in Infiltration Gallery)^2)
H = sqrt(((2*Q*L)/k)+(Ho)^2)

What is Infiltration Gallery ?

An infiltration gallery is a horizontal drain made from open jointed or perforated pipes, or a block drain, which is laid below the water table and collects groundwater. Infiltration galleries need soils that are permeable to allow suffi- cient water to be collected.

How to Calculate Height of Saturated Zone given Discharge?

Height of Saturated Zone given Discharge calculator uses Height of Saturated Zone = sqrt(((2*Discharge*Distance Between IG and Source)/Coefficient of Permeability)+(Depth of Water in Infiltration Gallery)^2) to calculate the Height of Saturated Zone, The Height of Saturated Zone given Discharge is defined as the value of height of saturated zone when we have prior information of other parameters used. Height of Saturated Zone is denoted by H symbol.

How to calculate Height of Saturated Zone given Discharge using this online calculator? To use this online calculator for Height of Saturated Zone given Discharge, enter Discharge (Q), Distance Between IG and Source (L), Coefficient of Permeability (k) & Depth of Water in Infiltration Gallery (Ho) and hit the calculate button. Here is how the Height of Saturated Zone given Discharge calculation can be explained with given input values -> 18.11389 = sqrt(((2*1.01*10)/0.1)+(10.31)^2).

FAQ

What is Height of Saturated Zone given Discharge?
The Height of Saturated Zone given Discharge is defined as the value of height of saturated zone when we have prior information of other parameters used and is represented as H = sqrt(((2*Q*L)/k)+(Ho)^2) or Height of Saturated Zone = sqrt(((2*Discharge*Distance Between IG and Source)/Coefficient of Permeability)+(Depth of Water in Infiltration Gallery)^2). Discharge is the rate of flow of a liquid, Distance Between IG and Source is defined as the distance between the infiltration gallery and the source point, The Coefficient of Permeability of soil describes how easily a liquid will move through the soil & Depth of Water in Infiltration Gallery is defined as the depth of water which is considered inside the infiltration gallery.
How to calculate Height of Saturated Zone given Discharge?
The Height of Saturated Zone given Discharge is defined as the value of height of saturated zone when we have prior information of other parameters used is calculated using Height of Saturated Zone = sqrt(((2*Discharge*Distance Between IG and Source)/Coefficient of Permeability)+(Depth of Water in Infiltration Gallery)^2). To calculate Height of Saturated Zone given Discharge, you need Discharge (Q), Distance Between IG and Source (L), Coefficient of Permeability (k) & Depth of Water in Infiltration Gallery (Ho). With our tool, you need to enter the respective value for Discharge, Distance Between IG and Source, Coefficient of Permeability & Depth of Water in Infiltration Gallery 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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