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Drawdown at Well given Confined Aquifer Discharge Formula

GoDrawdown at Well given Confined Aquifer Discharge with Base 10 Formula

GoDrawdown at Well given Coefficient of Transmissibility with Base 10 Formula

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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. Check FAQs

S tw = \frac{Q}{\frac{2 \cdot π \cdot K WH \cdot b p}{\log ((\frac{R w}{r}), e)}}

S_tw - Total Drawdown in Well?Q - Discharge?K_WH - Coefficient of Permeability in Well Hydraulics?b_p - Aquifer Thickness During Pumping?R_w - Radius of Influence?r - Radius of Well?π - Archimedes' constant?

Drawdown at Well given Confined Aquifer Discharge Example

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Here is how the Drawdown at Well given Confined Aquifer Discharge equation looks like with Values.

Here is how the Drawdown at Well given Confined Aquifer Discharge equation looks like with Units.

Here is how the Drawdown at Well given Confined Aquifer Discharge equation looks like.

4.9769 = \frac{1.01}{\frac{2 \cdot 3.1416 \cdot 10 \cdot 2.36}{\log ((\frac{8.6}{7.5}), e)}}

4.9769m = \frac{1.01m³/s}{\frac{2 \cdot 3.1416 \cdot 10cm/s \cdot 2.36m}{\log ((\frac{8.6m}{7.5m}), e)}}

4.9769 = \frac{1.01}{\frac{2 \cdot 3.1416 \cdot 10 \cdot 2.36}{\log ((\frac{8.6}{7.5}), e)}}

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Drawdown at Well given Confined Aquifer Discharge Solution

Follow our step by step solution on how to calculate Drawdown at Well given Confined Aquifer Discharge?

FIRST Step Consider the formula

S tw = \frac{Q}{\frac{2 \cdot π \cdot K WH \cdot b p}{\log ((\frac{R w}{r}), e)}}

Next Step Substitute values of Variables

∴

S tw = \frac{1.01m³/s}{\frac{2 \cdot π \cdot 10cm/s \cdot 2.36m}{\log ((\frac{8.6m}{7.5m}), e)}}

Next Step Substitute values of Constants

∴

S tw = \frac{1.01m³/s}{\frac{2 \cdot 3.1416 \cdot 10cm/s \cdot 2.36m}{\log ((\frac{8.6m}{7.5m}), e)}}

Next Step Convert Units

∴

S tw = \frac{1.01m³/s}{\frac{2 \cdot 3.1416 \cdot 0.1m/s \cdot 2.36m}{\log ((\frac{8.6m}{7.5m}), e)}}

Next Step Prepare to Evaluate

∴

S tw = \frac{1.01}{\frac{2 \cdot 3.1416 \cdot 0.1 \cdot 2.36}{\log ((\frac{8.6}{7.5}), e)}}

Next Step Evaluate

∴

S tw = 4.97686156005049m

LAST Step Rounding Answer

∴

S tw = 4.9769m

Drawdown at Well given Confined Aquifer Discharge Formula Elements

Variables

Constants

Functions

Total Drawdown in Well

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.

Symbol: S_tw

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Total Drawdown in Well

Discharge

Discharge is the flow rate of water that is extracted from or injected into a well.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge

Coefficient of Permeability in Well Hydraulics

Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.

Symbol: K_WH

Measurement: SpeedUnit: cm/s

Note: Value should be greater than 0.

Formulas to find Coefficient of Permeability in Well Hydraulics

Aquifer Thickness During Pumping

Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.

Symbol: b_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Aquifer Thickness During Pumping

Radius of Influence

Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.

Symbol: R_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Influence

Radius of Well

Radius of Well is defined as the distance from center of well to its outer boundary.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Well

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

log

Logarithmic function is an inverse function to exponentiation.

Syntax: log(Base, Number)

Other Formulas to find Total Drawdown in Well

Go Drawdown at Well given Confined Aquifer Discharge with Base 10

S tw = \frac{Q}{\frac{2.72 \cdot K WH \cdot b w}{\log ((\frac{R w}{r}), 10)}}

Go Drawdown at Well given Coefficient of Transmissibility with Base 10

S tw = \frac{Q}{\frac{2.72 \cdot T envi}{\log ((\frac{R w}{r}), 10)}}

Other formulas in Drawdown at well category

Go Drawdown at Well given Coefficient of Transmissibility

s t = \frac{Q}{\frac{2 \cdot π \cdot T envi}{\log ((\frac{R w}{r}), e)}}

How to Evaluate Drawdown at Well given Confined Aquifer Discharge?

Drawdown at Well given Confined Aquifer Discharge evaluator uses Total Drawdown in Well = Discharge/((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping)/(log((Radius of Influence/Radius of Well),e))) to evaluate the Total Drawdown in Well, The Drawdown at Well given Confined Aquifer Discharge formula is defined as the value of drawdown at well when we have prior information of confined aquifer discharge. Total Drawdown in Well is denoted by S_tw symbol.

How to evaluate Drawdown at Well given Confined Aquifer Discharge using this online evaluator? To use this online evaluator for Drawdown at Well given Confined Aquifer Discharge, enter Discharge (Q), Coefficient of Permeability in Well Hydraulics (K_WH), Aquifer Thickness During Pumping (b_p), Radius of Influence (R_w) & Radius of Well (r) and hit the calculate button.

FAQs on Drawdown at Well given Confined Aquifer Discharge

What is the formula to find Drawdown at Well given Confined Aquifer Discharge?

The formula of Drawdown at Well given Confined Aquifer Discharge is expressed as Total Drawdown in Well = Discharge/((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping)/(log((Radius of Influence/Radius of Well),e))). Here is an example- 4.976862 = 1.01/((2*pi*0.1*2.36)/(log((8.6/7.5),e))).

How to calculate Drawdown at Well given Confined Aquifer Discharge?

With Discharge (Q), Coefficient of Permeability in Well Hydraulics (K_WH), Aquifer Thickness During Pumping (b_p), Radius of Influence (R_w) & Radius of Well (r) we can find Drawdown at Well given Confined Aquifer Discharge using the formula - Total Drawdown in Well = Discharge/((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping)/(log((Radius of Influence/Radius of Well),e))). This formula also uses Archimedes' constant and Logarithmic Inverse (log) function(s).

What are the other ways to Calculate Total Drawdown in Well?

Here are the different ways to Calculate Total Drawdown in Well-

Total Drawdown in Well=Discharge/((2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness)/(log((Radius of Influence/Radius of Well),10)))
Total Drawdown in Well=Discharge/((2.72*Coefficient of Transmissibility)/(log((Radius of Influence/Radius of Well),10)))

Can the Drawdown at Well given Confined Aquifer Discharge be negative?

No, the Drawdown at Well given Confined Aquifer Discharge, measured in Length cannot be negative.

Which unit is used to measure Drawdown at Well given Confined Aquifer Discharge?

Drawdown at Well given Confined Aquifer Discharge is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Drawdown at Well given Confined Aquifer Discharge can be measured.

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Drawdown at Well given Confined Aquifer Discharge Formula

​GoDrawdown at Well given Confined Aquifer Discharge with Base 10 Formula

​GoDrawdown at Well given Coefficient of Transmissibility with Base 10 Formula

Drawdown at Well given Confined Aquifer Discharge Example

Drawdown at Well given Confined Aquifer Discharge Solution

Drawdown at Well given Confined Aquifer Discharge Formula Elements

Other Formulas to find Total Drawdown in Well

Other formulas in Drawdown at well category

How to Evaluate Drawdown at Well given Confined Aquifer Discharge?

FAQs on Drawdown at Well given Confined Aquifer Discharge

Variable Name

GoDrawdown at Well given Confined Aquifer Discharge with Base 10 Formula

GoDrawdown at Well given Coefficient of Transmissibility with Base 10 Formula