Length of Strainer given Discharge Calculator

✖Discharge is the rate of flow of a liquid.ⓘ Discharge [Q]			+10% -10%
✖Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.ⓘ Radius of Influence [R_w]			+10% -10%
✖Radius of well is defined as the distance from center of well to its outer boundary.ⓘ Radius of well [r]			+10% -10%
✖Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability in Well Hydraulics [K_WH]			+10% -10%
✖Total Drawdown in Well in Well Hydraulics 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.ⓘ Total Drawdown in Well in Well Hydraulics [S_tw]			+10% -10%

✖Strainer Length is measured from bottom of aquifer to top of it.ⓘ Length of Strainer given Discharge [l_st]

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Formula

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Length of Strainer given Discharge

Formula

`"l"_{"st"} = (("Q"*log(("R"_{"w"}/"r"),10))/(2.72*"K"_{"WH"}*"S"_{"tw"}))-("S"_{"tw"}/2)`

Example

`"10.20706m"=(("1.01m³/s"*log(("8.6m"/"7.5m"),10))/(2.72*"10.00cm/s"*"4.93m"))-("4.93m"/2)`

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Length of Strainer given Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strainer Length = ((Discharge*log((Radius of Influence/Radius of well),10))/(2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well in Well Hydraulics))-(Total Drawdown in Well in Well Hydraulics/2)
l_st = ((Q*log((R_w/r),10))/(2.72*K_WH*S_tw))-(S_tw/2)
This formula uses 1 Functions, 6 Variables

Functions Used

log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)

Variables Used

Strainer Length - (Measured in Meter) - Strainer Length is measured from bottom of aquifer to top of it.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
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 - (Measured in Meter) - Radius of well is defined as the distance from center of well to its outer boundary.
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 in Well Hydraulics - (Measured in Meter) - Total Drawdown in Well in Well Hydraulics 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.

STEP 1: Convert Input(s) to Base Unit

Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Radius of Influence: 8.6 Meter --> 8.6 Meter No Conversion Required
Radius of well: 7.5 Meter --> 7.5 Meter No Conversion Required
Coefficient of Permeability in Well Hydraulics: 10 Centimeter per Second --> 0.1 Meter per Second (Check conversion here)
Total Drawdown in Well in Well Hydraulics: 4.93 Meter --> 4.93 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_st = ((Q*log((R_w/r),10))/(2.72*K_WH*S_tw))-(S_tw/2) --> ((1.01*log((8.6/7.5),10))/(2.72*0.1*4.93))-(4.93/2)

Evaluating ... ...

l_st = 10.2070622298934

STEP 3: Convert Result to Output's Unit

10.2070622298934 Meter --> No Conversion Required

FINAL ANSWER

10.2070622298934 ≈ 10.20706 Meter <-- Strainer Length

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Water Resources : Ground Water » Well Hydraulics » Unconfined Aquifer » Aquifer Thickness » Length of Strainer given Discharge

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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 Aquifer Thickness Calculators

Thickness of Aquifer given Discharge in Unconfined Aquifer

Go Thickness of Unconfined Aquifer = sqrt(Depth of Water^2+(Discharge*log((Radius of Influence/Radius of well),e))/(pi*Coefficient of Permeability in Well Hydraulics))

Length of Strainer given Discharge

Go Strainer Length = ((Discharge*log((Radius of Influence/Radius of well),10))/(2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well in Well Hydraulics))-(Total Drawdown in Well in Well Hydraulics/2)

Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10

Go Thickness of Aquifer 1 = sqrt(Depth of Water^2+(Discharge*log((Radius of Influence/Radius of well),10))/(1.36*Standard Coefficient of Permeability at 20°C))

Cross-section Area of Soil Mass given Flow Velocity

Go Area of Cross Section in Enviro. Engin. = (Rate of Flow in Aquifer/Flow Velocity for Unconfined Aquifer)

Thickness of Aquifer given Drawdown Value measured at Well

Go Thickness of Aquifer 1 = Total Drawdown in Well+Depth of Water

Length of Strainer given Discharge Formula

What is Drawdown?

A drawdown is a peak-to-trough decline during a specific period for an investment, trading account, or fund. A drawdown is usually quoted as the percentage between the peak and the subsequent trough.

How to Calculate Length of Strainer given Discharge?

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

How to calculate Length of Strainer given Discharge using this online calculator? To use this online calculator for Length of Strainer given Discharge, enter Discharge (Q), Radius of Influence (R_w), Radius of well (r), Coefficient of Permeability in Well Hydraulics (K_WH) & Total Drawdown in Well in Well Hydraulics (S_tw) and hit the calculate button. Here is how the Length of Strainer given Discharge calculation can be explained with given input values -> 10.20706 = ((1.01*log((8.6/7.5),10))/(2.72*0.1*4.93))-(4.93/2).

FAQ

What is Length of Strainer given Discharge?

The Length of Strainer given Discharge is defined as the value of length of strainer when we have prior information of other parameters used and is represented as l_st = ((Q*log((R_w/r),10))/(2.72*K_WH*S_tw))-(S_tw/2) or Strainer Length = ((Discharge*log((Radius of Influence/Radius of well),10))/(2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well in Well Hydraulics))-(Total Drawdown in Well in Well Hydraulics/2). Discharge is the rate of flow of a liquid, Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table, Radius of well is defined as the distance from center of well to its outer boundary, 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 in Well Hydraulics 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.

How to calculate Length of Strainer given Discharge?

The Length of Strainer given Discharge is defined as the value of length of strainer when we have prior information of other parameters used is calculated using Strainer Length = ((Discharge*log((Radius of Influence/Radius of well),10))/(2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well in Well Hydraulics))-(Total Drawdown in Well in Well Hydraulics/2). To calculate Length of Strainer given Discharge, you need Discharge (Q), Radius of Influence (R_w), Radius of well (r), Coefficient of Permeability in Well Hydraulics (K_WH) & Total Drawdown in Well in Well Hydraulics (S_tw). With our tool, you need to enter the respective value for Discharge, Radius of Influence, Radius of well, Coefficient of Permeability in Well Hydraulics & Total Drawdown in 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.

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