Depth of Water in Gallery given Discharge Calculator

✖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%
✖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 IG and Source [L]			+10% -10%
✖The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability [k]			+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 Gallery given Discharge [H_o]

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Formula

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Depth of Water in Gallery given Discharge

Formula

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

Example

`"10.29575m"=sqrt(("17.55m")^2-((2*"1.01m³/s"*"10.0m")/"10cm/s"))`

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Depth of Water in Gallery given Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Height of Saturated Zone: 17.55 Meter --> 17.55 Meter No Conversion Required
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_o = sqrt((H)^2-((2*Q*L)/k)) --> sqrt((17.55)^2-((2*1.01*10)/0.1))

Evaluating ... ...

H_o = 10.2957515510039

STEP 3: Convert Result to Output's Unit

10.2957515510039 Meter --> No Conversion Required

FINAL ANSWER

10.2957515510039 ≈ 10.29575 Meter <-- Depth of Water in Infiltration Gallery

(Calculation completed in 00.004 seconds)

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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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< 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))

Depth of Water in Gallery given Discharge Formula

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

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 sufficient water to be collected.

How to Calculate Depth of Water in Gallery given Discharge?

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

How to calculate Depth of Water in Gallery given Discharge using this online calculator? To use this online calculator for Depth of Water in Gallery given Discharge, enter Height of Saturated Zone (H), Discharge (Q), Distance Between IG and Source (L) & Coefficient of Permeability (k) and hit the calculate button. Here is how the Depth of Water in Gallery given Discharge calculation can be explained with given input values -> 10.29575 = sqrt((17.55)^2-((2*1.01*10)/0.1)).

FAQ

What is Depth of Water in Gallery given Discharge?

The Depth of Water in Gallery given Discharge is defined as the value of depth of water in gallery when we have prior information of other parameters used and is represented as H_o = sqrt((H)^2-((2*Q*L)/k)) or 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 is the height of the Ground level at the infiltration gallery which is considered at some distance from the source, 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.

How to calculate Depth of Water in Gallery given Discharge?

The Depth of Water in Gallery given Discharge is defined as the value of depth of water in gallery when we have prior information of other parameters used is calculated using Depth of Water in Infiltration Gallery = sqrt((Height of Saturated Zone)^2-((2*Discharge*Distance Between IG and Source)/Coefficient of Permeability)). To calculate Depth of Water in Gallery given Discharge, you need Height of Saturated Zone (H), Discharge (Q), Distance Between IG and Source (L) & Coefficient of Permeability (k). With our tool, you need to enter the respective value for Height of Saturated Zone, Discharge, Distance Between IG and Source & Coefficient of Permeability 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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