Discharge given Length of Strainer Solution

STEP 0: Pre-Calculation Summary
Formula Used
Discharge = (2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well*(Length of strainer+(Total Drawdown in Well/2)))/(log((Radius of Influence/Radius of Well in Well Hydraulics),10))
Q = (2.72*KWH*st*(L+(st/2)))/(log((Rw/r''),10))
This formula uses 1 Functions, 6 Variables
Functions Used
log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)
Variables Used
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Coefficient of Permeability in Well Hydraulics - (Measured in Meter per Second) - Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.
Total Drawdown in Well - (Measured in Meter) - The Total Drawdown in Well is defined as the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test.
Length of strainer - (Measured in Meter) - Length of strainer is measured from bottom of aquifer to top of it.
Radius of Influence - (Measured in Meter) - Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.
Radius of Well in Well Hydraulics - (Measured in Meter) - Radius of Well in Well Hydraulics is defined as the distance from center of well to its outer boundary.
STEP 1: Convert Input(s) to Base Unit
Coefficient of Permeability in Well Hydraulics: 10 Centimeter per Second --> 0.1 Meter per Second (Check conversion here)
Total Drawdown in Well: 0.83 Meter --> 0.83 Meter No Conversion Required
Length of strainer: 2 Meter --> 2 Meter No Conversion Required
Radius of Influence: 8.6 Meter --> 8.6 Meter No Conversion Required
Radius of Well in Well Hydraulics: 0.0037 Meter --> 0.0037 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = (2.72*KWH*st*(L+(st/2)))/(log((Rw/r''),10)) --> (2.72*0.1*0.83*(2+(0.83/2)))/(log((8.6/0.0037),10))
Evaluating ... ...
Q = 1.83533998514263
STEP 3: Convert Result to Output's Unit
1.83533998514263 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
1.83533998514263 1.83534 Cubic Meter per Second <-- Discharge
(Calculation completed in 00.020 seconds)

Credits

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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7 Aquifer Discharge Calculators

Discharge when Two Observation Well is Taken
Go Discharge = (pi*Coefficient of Permeability in Well Hydraulics*(Depth of Water 2^2-Depth of Water 1^2))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),e))
Discharge given Length of Strainer
Go Discharge = (2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well*(Length of strainer+(Total Drawdown in Well/2)))/(log((Radius of Influence/Radius of Well in Well Hydraulics),10))
Discharge in Unconfined Aquifer
Go Discharge = (pi*Coefficient of Permeability in Well Hydraulics*(Thickness of Unconfined Aquifer^2-Depth of Water^2))/(log((Radius of Influence/Radius of well),e))
Discharge from Two Wells with Base 10
Go Discharge = (1.36*Coefficient of Permeability in Well Hydraulics*(Depth of Water 2^2-Depth of Water 1^2))/(log((Radial Distance at Observation Well 2/Radial Distance at Well 1),10))
Discharge in Unconfined Aquifer with Base 10
Go Discharge = (1.36*Coefficient of Permeability in Well Hydraulics*(Thickness of Unconfined Aquifer^2-Depth of Water^2))/(log((Radius of Influence/Radius of well),10))
Rate of Flow given Coefficient of Permeability
Go Rate of Flow = Coefficient of Permeability in Well Hydraulics*Hydraulic Gradient*Area of Cross Section in Enviro. Engin.
Rate of Flow given Flow Velocity
Go Rate of Flow = (Flow Velocity*Area of Cross Section in Enviro. Engin.)

Discharge given Length of Strainer Formula

Discharge = (2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well*(Length of strainer+(Total Drawdown in Well/2)))/(log((Radius of Influence/Radius of Well in Well Hydraulics),10))
Q = (2.72*KWH*st*(L+(st/2)))/(log((Rw/r''),10))

What is Aquifer?

An aquifer is an underground layer of water-bearing permeable rock, rock fractures or unconsolidated materials (gravel, sand, or silt). Groundwater can be extracted using a water well.

How to Calculate Discharge given Length of Strainer?

Discharge given Length of Strainer calculator uses Discharge = (2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well*(Length of strainer+(Total Drawdown in Well/2)))/(log((Radius of Influence/Radius of Well in Well Hydraulics),10)) to calculate the Discharge, The Discharge given Length of Strainer is defined as the value of discharge when we have prior information of other parameters used. Discharge is denoted by Q symbol.

How to calculate Discharge given Length of Strainer using this online calculator? To use this online calculator for Discharge given Length of Strainer, enter Coefficient of Permeability in Well Hydraulics (KWH), Total Drawdown in Well (st), Length of strainer (L), Radius of Influence (Rw) & Radius of Well in Well Hydraulics (r'') and hit the calculate button. Here is how the Discharge given Length of Strainer calculation can be explained with given input values -> 1.83534 = (2.72*0.1*0.83*(2+(0.83/2)))/(log((8.6/0.0037),10)).

FAQ

What is Discharge given Length of Strainer?
The Discharge given Length of Strainer is defined as the value of discharge when we have prior information of other parameters used and is represented as Q = (2.72*KWH*st*(L+(st/2)))/(log((Rw/r''),10)) or Discharge = (2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well*(Length of strainer+(Total Drawdown in Well/2)))/(log((Radius of Influence/Radius of Well in Well Hydraulics),10)). Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil, The Total Drawdown in Well is defined as the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test, Length of strainer is measured from bottom of aquifer to top of it, Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table & Radius of Well in Well Hydraulics is defined as the distance from center of well to its outer boundary.
How to calculate Discharge given Length of Strainer?
The Discharge given Length of Strainer is defined as the value of discharge when we have prior information of other parameters used is calculated using Discharge = (2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well*(Length of strainer+(Total Drawdown in Well/2)))/(log((Radius of Influence/Radius of Well in Well Hydraulics),10)). To calculate Discharge given Length of Strainer, you need Coefficient of Permeability in Well Hydraulics (KWH), Total Drawdown in Well (st), Length of strainer (L), Radius of Influence (Rw) & Radius of Well in Well Hydraulics (r''). With our tool, you need to enter the respective value for Coefficient of Permeability in Well Hydraulics, Total Drawdown in Well, Length of strainer, Radius of Influence & Radius of Well in Well Hydraulics and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Discharge?
In this formula, Discharge uses Coefficient of Permeability in Well Hydraulics, Total Drawdown in Well, Length of strainer, Radius of Influence & Radius of Well in Well Hydraulics. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Discharge = (pi*Coefficient of Permeability in Well Hydraulics*(Thickness of Unconfined Aquifer^2-Depth of Water^2))/(log((Radius of Influence/Radius of well),e))
  • Discharge = (1.36*Coefficient of Permeability in Well Hydraulics*(Thickness of Unconfined Aquifer^2-Depth of Water^2))/(log((Radius of Influence/Radius of well),10))
  • Discharge = (pi*Coefficient of Permeability in Well Hydraulics*(Depth of Water 2^2-Depth of Water 1^2))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),e))
  • Discharge = (1.36*Coefficient of Permeability in Well Hydraulics*(Depth of Water 2^2-Depth of Water 1^2))/(log((Radial Distance at Observation Well 2/Radial Distance at Well 1),10))
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