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Aquifer Thickness given Discharge for Partially Penetrating Well Formula

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Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water. Check FAQs

b = \frac{Q v}{\frac{2 \cdot π \cdot K \cdot (H - h w) \cdot G}{\log ((\frac{R}{r}), e)}}

b - Aquifer Thickness?Q_v - Discharge for Partially Penetrating Well?K - Coefficient of Permeability?H - Initial Piezometric Surface?h_w - Depth of Water?G - Correction Factor?R - Radius of Influence?r - Radius of Well?π - Archimedes' constant?

Aquifer Thickness given Discharge for Partially Penetrating Well Example

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Here is how the Aquifer Thickness given Discharge for Partially Penetrating Well equation looks like with Values.

Here is how the Aquifer Thickness given Discharge for Partially Penetrating Well equation looks like with Units.

Here is how the Aquifer Thickness given Discharge for Partially Penetrating Well equation looks like.

14.9801 = \frac{5.08}{\frac{2 \cdot 3.1416 \cdot 0.105 \cdot (20 - 2.44) \cdot 0.83}{\log ((\frac{100}{2.94}), e)}}

14.9801m = \frac{5.08m³/s}{\frac{2 \cdot 3.1416 \cdot 0.105cm/s \cdot (20m - 2.44m) \cdot 0.83}{\log ((\frac{100m}{2.94m}), e)}}

14.9801 = \frac{5.08}{\frac{2 \cdot 3.1416 \cdot 0.105 \cdot (20 - 2.44) \cdot 0.83}{\log ((\frac{100}{2.94}), e)}}

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Aquifer Thickness given Discharge for Partially Penetrating Well Solution

Follow our step by step solution on how to calculate Aquifer Thickness given Discharge for Partially Penetrating Well?

FIRST Step Consider the formula

b = \frac{Q v}{\frac{2 \cdot π \cdot K \cdot (H - h w) \cdot G}{\log ((\frac{R}{r}), e)}}

Next Step Substitute values of Variables

∴

b = \frac{5.08m³/s}{\frac{2 \cdot π \cdot 0.105cm/s \cdot (20m - 2.44m) \cdot 0.83}{\log ((\frac{100m}{2.94m}), e)}}

Next Step Substitute values of Constants

∴

b = \frac{5.08m³/s}{\frac{2 \cdot 3.1416 \cdot 0.105cm/s \cdot (20m - 2.44m) \cdot 0.83}{\log ((\frac{100m}{2.94m}), e)}}

Next Step Convert Units

∴

b = \frac{5.08m³/s}{\frac{2 \cdot 3.1416 \cdot 0.001m/s \cdot (20m - 2.44m) \cdot 0.83}{\log ((\frac{100m}{2.94m}), e)}}

Next Step Prepare to Evaluate

∴

b = \frac{5.08}{\frac{2 \cdot 3.1416 \cdot 0.001 \cdot (20 - 2.44) \cdot 0.83}{\log ((\frac{100}{2.94}), e)}}

Next Step Evaluate

∴

b = 14.9801430298163m

LAST Step Rounding Answer

∴

b = 14.9801m

Aquifer Thickness given Discharge for Partially Penetrating Well Formula Elements

Variables

Constants

Functions

Aquifer Thickness

Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.

Symbol: b

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Aquifer Thickness

Discharge for Partially Penetrating Well

Discharge for Partially Penetrating Well refers to the volume of water extracted from an aquifer when the well does not extend through the entire thickness of the aquifer.

Symbol: Q_v

Measurement: Volumetric Flow RateUnit: m³/s