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Aquifer Thickness when Interference among Three Well is Present Formula

GoAquifer Thickness when Interference among Well is Present 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 th}{\frac{2 \cdot π \cdot K \cdot (H - h w)}{\log (\frac{R^{3}}{r \cdot B^{2}}, e)}}

b - Aquifer Thickness?Q_th - Discharge by Each Well at Three Well Interference?K - Coefficient of Permeability?H - Initial Piezometric Surface?h_w - Depth of Water?R - Radius of Influence?r - Radius of Well?B - Distance Between Wells?π - Archimedes' constant?

Aquifer Thickness when Interference among Three Well is Present Example

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Here is how the Aquifer Thickness when Interference among Three Well is Present equation looks like with Values.

Here is how the Aquifer Thickness when Interference among Three Well is Present equation looks like with Units.

Here is how the Aquifer Thickness when Interference among Three Well is Present equation looks like.

14.9995 = \frac{18.397}{\frac{2 \cdot 3.1416 \cdot 0.105 \cdot (20 - 2.44)}{\log (\frac{100^{3}}{2.94 \cdot {2.93}^{2}}, e)}}

14.9995m = \frac{18.397m³/s}{\frac{2 \cdot 3.1416 \cdot 0.105cm/s \cdot (20m - 2.44m)}{\log (\frac{{100m}^{3}}{2.94m \cdot {2.93m}^{2}}, e)}}

14.9995 = \frac{18.397}{\frac{2 \cdot 3.1416 \cdot 0.105 \cdot (20 - 2.44)}{\log (\frac{100^{3}}{2.94 \cdot {2.93}^{2}}, e)}}

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Aquifer Thickness when Interference among Three Well is Present Solution

Follow our step by step solution on how to calculate Aquifer Thickness when Interference among Three Well is Present?

FIRST Step Consider the formula

b = \frac{Q th}{\frac{2 \cdot π \cdot K \cdot (H - h w)}{\log (\frac{R^{3}}{r \cdot B^{2}}, e)}}

Next Step Substitute values of Variables

∴

b = \frac{18.397m³/s}{\frac{2 \cdot π \cdot 0.105cm/s \cdot (20m - 2.44m)}{\log (\frac{{100m}^{3}}{2.94m \cdot {2.93m}^{2}}, e)}}

Next Step Substitute values of Constants

∴

b = \frac{18.397m³/s}{\frac{2 \cdot 3.1416 \cdot 0.105cm/s \cdot (20m - 2.44m)}{\log (\frac{{100m}^{3}}{2.94m \cdot {2.93m}^{2}}, e)}}

Next Step Convert Units

∴

b = \frac{18.397m³/s}{\frac{2 \cdot 3.1416 \cdot 0.001m/s \cdot (20m - 2.44m)}{\log (\frac{{100m}^{3}}{2.94m \cdot {2.93m}^{2}}, e)}}

Next Step Prepare to Evaluate

∴

b = \frac{18.397}{\frac{2 \cdot 3.1416 \cdot 0.001 \cdot (20 - 2.44)}{\log (\frac{100^{3}}{2.94 \cdot {2.93}^{2}}, e)}}

Next Step Evaluate

∴

b = 14.9994893121166m

LAST Step Rounding Answer

∴

b = 14.9995m

Aquifer Thickness when Interference among Three Well is Present 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 by Each Well at Three Well Interference

Discharge by Each Well at Three Well Interference is the sum of the individual well rates, adjusted for interference.

Symbol: Q_th

Measurement: Volumetric Flow RateUnit: m³/s