Distance between Infiltration Gallery and Source given Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Distance Between IG and Source = (Coefficient of Permeability*((Height of Saturated Zone)^2-(Depth of Water in Infiltration Gallery)^2))/(2*Discharge)
L = (k*((H)^2-(Ho)^2))/(2*Q)
This formula uses 5 Variables
Variables Used
Distance Between IG and Source - (Measured in Meter) - The Distance Between IG and Source refers to the distance between the infiltration gallery and the source point.
Coefficient of Permeability - (Measured in Meter per Second) - The Coefficient of Permeability refers to the soil characteristics describes how easily a liquid will move through the soil.
Height of Saturated Zone - (Measured in Meter) - The Height of saturated Zone refers to the height of the ground level at the infiltration gallery which is considered at some distance from the source.
Depth of Water in Infiltration Gallery - (Measured in Meter) - The Depth of Water in Infiltration Gallery refers to the depth of water which is considered inside the infiltration gallery.
Discharge - (Measured in Cubic Meter per Second) - The Discharge refers to the volume of fluid passing through a cross-sectional area of a stream or pipe per unit time.
STEP 1: Convert Input(s) to Base Unit
Coefficient of Permeability: 10 Centimeter per Second --> 0.1 Meter per Second (Check conversion ​here)
Height of Saturated Zone: 17.55 Meter --> 17.55 Meter No Conversion Required
Depth of Water in Infiltration Gallery: 10.31 Meter --> 10.31 Meter No Conversion Required
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = (k*((H)^2-(Ho)^2))/(2*Q) --> (0.1*((17.55)^2-(10.31)^2))/(2*1.01)
Evaluating ... ...
L = 9.98546534653465
STEP 3: Convert Result to Output's Unit
9.98546534653465 Meter --> No Conversion Required
FINAL ANSWER
9.98546534653465 9.985465 Meter <-- Distance Between IG and Source
(Calculation completed in 00.004 seconds)

Credits

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Meerut Institute of Engineering and Technology (MIET), Meerut
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Flow into Infiltration Gallery Calculators

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))

Distance between Infiltration Gallery and Source given Discharge Formula

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

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 Distance between Infiltration Gallery and Source given Discharge?

Distance between Infiltration Gallery and Source given Discharge calculator uses Distance Between IG and Source = (Coefficient of Permeability*((Height of Saturated Zone)^2-(Depth of Water in Infiltration Gallery)^2))/(2*Discharge) to calculate the Distance Between IG and Source, The Distance between Infiltration Gallery and Source given Discharge is defined as the value of distance between infiltration gallery and source when we have prior information of other parameters used. Distance Between IG and Source is denoted by L symbol.

How to calculate Distance between Infiltration Gallery and Source given Discharge using this online calculator? To use this online calculator for Distance between Infiltration Gallery and Source given Discharge, enter Coefficient of Permeability (k), Height of Saturated Zone (H), Depth of Water in Infiltration Gallery (Ho) & Discharge (Q) and hit the calculate button. Here is how the Distance between Infiltration Gallery and Source given Discharge calculation can be explained with given input values -> 9.985465 = (0.1*((17.55)^2-(10.31)^2))/(2*1.01).

FAQ

What is Distance between Infiltration Gallery and Source given Discharge?
The Distance between Infiltration Gallery and Source given Discharge is defined as the value of distance between infiltration gallery and source when we have prior information of other parameters used and is represented as L = (k*((H)^2-(Ho)^2))/(2*Q) or Distance Between IG and Source = (Coefficient of Permeability*((Height of Saturated Zone)^2-(Depth of Water in Infiltration Gallery)^2))/(2*Discharge). The Coefficient of Permeability refers to the soil characteristics describes how easily a liquid will move through the soil, The Height of saturated Zone refers to the height of the ground level at the infiltration gallery which is considered at some distance from the source, The Depth of Water in Infiltration Gallery refers to the depth of water which is considered inside the infiltration gallery & The Discharge refers to the volume of fluid passing through a cross-sectional area of a stream or pipe per unit time.
How to calculate Distance between Infiltration Gallery and Source given Discharge?
The Distance between Infiltration Gallery and Source given Discharge is defined as the value of distance between infiltration gallery and source when we have prior information of other parameters used is calculated using Distance Between IG and Source = (Coefficient of Permeability*((Height of Saturated Zone)^2-(Depth of Water in Infiltration Gallery)^2))/(2*Discharge). To calculate Distance between Infiltration Gallery and Source given Discharge, you need Coefficient of Permeability (k), Height of Saturated Zone (H), Depth of Water in Infiltration Gallery (Ho) & Discharge (Q). With our tool, you need to enter the respective value for Coefficient of Permeability, Height of Saturated Zone, Depth of Water in Infiltration Gallery & Discharge 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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