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))
Ho = 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) - The Depth of Water in Infiltration Gallery refers to the depth of water which is considered inside the infiltration gallery.
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.
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.
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.
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
Ho = sqrt((H)^2-((2*Q*L)/k)) --> sqrt((17.55)^2-((2*1.01*10)/0.1))
Evaluating ... ...
Ho = 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 00.009 seconds)

Credits

Creator Image
Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has created this Calculator and 2100+ more calculators!
Verifier Image
Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has verified this Calculator and 2600+ more calculators!

Flow into Infiltration Gallery Calculators

Height of Saturated Zone given Discharge
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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

​LaTeX ​Go
Depth of Water in Infiltration Gallery = sqrt((Height of Saturated Zone)^2-((2*Discharge*Distance Between IG and Source)/Coefficient of Permeability))
Ho = 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 Ho 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 Ho = 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)). 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 Discharge refers to the volume of fluid passing through a cross-sectional area of a stream or pipe per unit time, The Distance Between IG and Source refers to the distance between the infiltration gallery and the source point & The Coefficient of Permeability refers to the soil characteristics 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!