Distance between Infiltration Gallery and Source given Discharge Calculator

✖The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability [k]			+10% -10%
✖Height of saturated zone is the height of the Ground level at the infiltration gallery which is considered at some distance from the source.ⓘ Height of Saturated Zone [H]			+10% -10%
✖Depth of Water in Infiltration Gallery is defined as the depth of water which is considered inside the infiltration gallery.ⓘ Depth of Water in Infiltration Gallery [H_o]			+10% -10%
✖Discharge is the rate of flow of a liquid.ⓘ Discharge [Q]			+10% -10%

✖Distance Between IG and Source is defined as the distance between the infiltration gallery and the source point.ⓘ Distance between Infiltration Gallery and Source given Discharge [L]

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Formula

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Distance between Infiltration Gallery and Source given Discharge

Formula

`"L" = ("k"*(("H")^2-("H"_{"o"})^2))/(2*"Q")`

Example

`"9.985465m"=("10cm/s"*(("17.55m")^2-("10.31m")^2))/(2*"1.01m³/s")`

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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-(H_o)^2))/(2*Q)
This formula uses 5 Variables

Variables Used

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.
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.
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.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.

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-(H_o)^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)

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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))

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-(H_o)^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 (H_o) & 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 -> 9.004436 = (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-(H_o)^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 of soil describes how easily a liquid will move through the soil, Height of saturated zone is 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 is defined as the depth of water which is considered inside the infiltration gallery & Discharge is the rate of flow of a liquid.

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 (H_o) & 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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