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Confined Aquifer Discharge given Aquifer Constant Formula

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Discharge refers to the volume of water that flows through the aquifer over a given period. Check FAQs

Q w = \frac{T \cdot 2.72 \cdot (s 1 - s 2)}{\log ((\frac{r 2}{r 1}), 10)}

Q_w - Discharge?T - Aquifer Constant?s₁ - Drawdown in Well 1?s₂ - Drawdown in Well 2?r₂ - Radial Distance at Observation Well 2?r₁ - Radial Distance at Observation Well 1?

Confined Aquifer Discharge given Aquifer Constant Example

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Here is how the Confined Aquifer Discharge given Aquifer Constant equation looks like with Values.

Here is how the Confined Aquifer Discharge given Aquifer Constant equation looks like with Units.

Here is how the Confined Aquifer Discharge given Aquifer Constant equation looks like.

0.9118 = \frac{24.67 \cdot 2.72 \cdot (2.15 - 2.136)}{\log ((\frac{10}{1.07}), 10)}

0.9118m³/s = \frac{24.67 \cdot 2.72 \cdot (2.15m - 2.136m)}{\log ((\frac{10m}{1.07m}), 10)}

0.9118 = \frac{24.67 \cdot 2.72 \cdot (2.15 - 2.136)}{\log ((\frac{10}{1.07}), 10)}

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Confined Aquifer Discharge given Aquifer Constant Solution

Follow our step by step solution on how to calculate Confined Aquifer Discharge given Aquifer Constant?

FIRST Step Consider the formula

Q w = \frac{T \cdot 2.72 \cdot (s 1 - s 2)}{\log ((\frac{r 2}{r 1}), 10)}

Next Step Substitute values of Variables

∴

Q w = \frac{24.67 \cdot 2.72 \cdot (2.15m - 2.136m)}{\log ((\frac{10m}{1.07m}), 10)}

Next Step Prepare to Evaluate

∴

Q w = \frac{24.67 \cdot 2.72 \cdot (2.15 - 2.136)}{\log ((\frac{10}{1.07}), 10)}

Next Step Evaluate

∴

Q w = 0.91182949194757m³/s

LAST Step Rounding Answer

∴

Q w = 0.9118m³/s

Confined Aquifer Discharge given Aquifer Constant Formula Elements

Variables

Functions

Discharge

Discharge refers to the volume of water that flows through the aquifer over a given period.

Symbol: Q_w

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge

Aquifer Constant

Aquifer Constant refers to the product of the hydraulic conductivity (K) and the thickness (b) of an aquifer and also known as coefficient of transmissibility.

Symbol: T

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Aquifer Constant

Drawdown in Well 1

Drawdown in Well 1 refers to the reduction in water level caused by pumping in a well.

Symbol: s₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Drawdown in Well 1

Drawdown in Well 2

Drawdown in Well 2 refers to the reduction in water level caused by pumping in a well.

Symbol: s₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Drawdown in Well 2

Radial Distance at Observation Well 2

Radial distance at Observation Well 2 refers to the horizontal distance from the center of a pumping well to the observation well, where groundwater levels are monitored.

Symbol: r₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radial Distance at Observation Well 2

Radial Distance at Observation Well 1

Radial distance at Observation Well 1 refers to the horizontal distance from the center of a pumping well to the observation well, where groundwater levels are monitored.

Symbol: r₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radial Distance at Observation Well 1

log

Logarithmic function is an inverse function to exponentiation.

Syntax: log(Base, Number)

Other formulas in Aquifer Constant And Depth of Water in Well category

Go Depth of Water in Well 1 given Drawdown in Well 1

h 1 = H - s 1

Go Depth of Water in Well 2 given Drawdown in Well 2

h 2 = H - s 2

Go Aquifer Constant

T = \frac{Q w \cdot \log ((\frac{r 2}{r 1}), 10)}{2.72 \cdot (s 1 - s 2)}

Go Aquifer Constant given Drawdown in Well

T = \frac{Q w}{2.72 \cdot (s 1 - s 2)}

How to Evaluate Confined Aquifer Discharge given Aquifer Constant?

Confined Aquifer Discharge given Aquifer Constant evaluator uses Discharge = (Aquifer Constant*2.72*(Drawdown in Well 1-Drawdown in Well 2))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10)) to evaluate the Discharge, Confined Aquifer Discharge given Aquifer Constant formula is defined as a method to quantify the rate of fluid flow from a confined aquifer, which is a vital parameter in understanding groundwater flow and management, particularly in areas where aquifers are confined by impermeable rock layers. Discharge is denoted by Q_w symbol.

How to evaluate Confined Aquifer Discharge given Aquifer Constant using this online evaluator? To use this online evaluator for Confined Aquifer Discharge given Aquifer Constant, enter Aquifer Constant (T), Drawdown in Well 1 (s₁), Drawdown in Well 2 (s₂), Radial Distance at Observation Well 2 (r₂) & Radial Distance at Observation Well 1 (r₁) and hit the calculate button.

FAQs on Confined Aquifer Discharge given Aquifer Constant

What is the formula to find Confined Aquifer Discharge given Aquifer Constant?

The formula of Confined Aquifer Discharge given Aquifer Constant is expressed as Discharge = (Aquifer Constant*2.72*(Drawdown in Well 1-Drawdown in Well 2))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10)). Here is an example- 0.911829 = (24.67*2.72*(2.15-2.136))/(log((10/1.07),10)).

How to calculate Confined Aquifer Discharge given Aquifer Constant?

With Aquifer Constant (T), Drawdown in Well 1 (s₁), Drawdown in Well 2 (s₂), Radial Distance at Observation Well 2 (r₂) & Radial Distance at Observation Well 1 (r₁) we can find Confined Aquifer Discharge given Aquifer Constant using the formula - Discharge = (Aquifer Constant*2.72*(Drawdown in Well 1-Drawdown in Well 2))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10)). This formula also uses Logarithmic Inverse (log) function(s).

Can the Confined Aquifer Discharge given Aquifer Constant be negative?

No, the Confined Aquifer Discharge given Aquifer Constant, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Confined Aquifer Discharge given Aquifer Constant?

Confined Aquifer Discharge given Aquifer Constant is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Confined Aquifer Discharge given Aquifer Constant can be measured.

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Confined Aquifer Discharge given Aquifer Constant Formula

Confined Aquifer Discharge given Aquifer Constant Example

Confined Aquifer Discharge given Aquifer Constant Solution

Confined Aquifer Discharge given Aquifer Constant Formula Elements

Other formulas in Aquifer Constant And Depth of Water in Well category

How to Evaluate Confined Aquifer Discharge given Aquifer Constant?

FAQs on Confined Aquifer Discharge given Aquifer Constant

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