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Confined Aquifer Discharge given Drawdown at Well Formula

GoDischarge in Confined Aquifer with Base 10 Formula

GoConfined Aquifer Discharge with Base 10 given Drawdown at Well Formula

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

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

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

Confined Aquifer Discharge given Drawdown at Well Example

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

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

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

1.0005 = \frac{2 \cdot 3.1416 \cdot 10 \cdot 2.36 \cdot 4.93}{\log ((\frac{8.6}{7.5}), e)}

1.0005m³/s = \frac{2 \cdot 3.1416 \cdot 10cm/s \cdot 2.36m \cdot 4.93m}{\log ((\frac{8.6m}{7.5m}), e)}

1.0005 = \frac{2 \cdot 3.1416 \cdot 10 \cdot 2.36 \cdot 4.93}{\log ((\frac{8.6}{7.5}), e)}

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Confined Aquifer Discharge given Drawdown at Well Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q = \frac{2 \cdot π \cdot 10cm/s \cdot 2.36m \cdot 4.93m}{\log ((\frac{8.6m}{7.5m}), e)}

Next Step Substitute values of Constants

∴

Q = \frac{2 \cdot 3.1416 \cdot 10cm/s \cdot 2.36m \cdot 4.93m}{\log ((\frac{8.6m}{7.5m}), e)}

Next Step Convert Units

∴

Q = \frac{2 \cdot 3.1416 \cdot 0.1m/s \cdot 2.36m \cdot 4.93m}{\log ((\frac{8.6m}{7.5m}), e)}

Next Step Prepare to Evaluate

∴

Q = \frac{2 \cdot 3.1416 \cdot 0.1 \cdot 2.36 \cdot 4.93}{\log ((\frac{8.6}{7.5}), e)}

Next Step Evaluate

∴

Q = 1.00048995535039m³/s

LAST Step Rounding Answer

∴

Q = 1.0005m³/s

Confined Aquifer Discharge given Drawdown at Well Formula Elements

Variables

Constants

Functions

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