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Radial Distance from Well 2 given Aquifer Constant Formula

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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. Check FAQs

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

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

Radial Distance from Well 2 given Aquifer Constant Example

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Here is how the Radial Distance from Well 2 given Aquifer Constant equation looks like with Values.

Here is how the Radial Distance from Well 2 given Aquifer Constant equation looks like with Units.

Here is how the Radial Distance from Well 2 given Aquifer Constant equation looks like.

11.4973 = 1.07 \cdot 10^{\frac{2.72 \cdot 24.67 \cdot (2.15 - 2.136)}{0.911}}

11.4973m = 1.07m \cdot 10^{\frac{2.72 \cdot 24.67 \cdot (2.15m - 2.136m)}{0.911m³/s}}

11.4973 = 1.07 \cdot 10^{\frac{2.72 \cdot 24.67 \cdot (2.15 - 2.136)}{0.911}}

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Radial Distance from Well 2 given Aquifer Constant Solution

Follow our step by step solution on how to calculate Radial Distance from Well 2 given Aquifer Constant?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r 2 = 1.07m \cdot 10^{\frac{2.72 \cdot 24.67 \cdot (2.15m - 2.136m)}{0.911m³/s}}

Next Step Prepare to Evaluate

∴

r 2 = 1.07 \cdot 10^{\frac{2.72 \cdot 24.67 \cdot (2.15 - 2.136)}{0.911}}

Next Step Evaluate

∴

r 2 = 11.4972822659638m

LAST Step Rounding Answer

∴

r 2 = 11.4973m

Radial Distance from Well 2 given Aquifer Constant Formula Elements

Variables

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

Other formulas in Radial Distance from Well And Thickness of Aquifer category

Go Thickness of Aquifer from Impermeable Layer given Drawdown in Well 1

H = h 1 + s 1

Go Thickness of Aquifer from Impermeable Layer given Drawdown in Well 2

H = h 2 + s 2

Go Radial Distance from Well 1 given Aquifer Constant

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

How to Evaluate Radial Distance from Well 2 given Aquifer Constant?

Radial Distance from Well 2 given Aquifer Constant evaluator uses Radial Distance at Observation Well 2 = Radial Distance at Observation Well 1*10^((2.72*Aquifer Constant*(Drawdown in Well 1-Drawdown in Well 2))/Discharge) to evaluate the Radial Distance at Observation Well 2, Radial Distance from Well 2 given Aquifer Constant formula is defined as a measure of the distance from the center of the well to a point in a confined aquifer, which is essential in understanding the flow of groundwater and predicting the behavior of the aquifer system. Radial Distance at Observation Well 2 is denoted by r₂ symbol.

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

FAQs on Radial Distance from Well 2 given Aquifer Constant

What is the formula to find Radial Distance from Well 2 given Aquifer Constant?

The formula of Radial Distance from Well 2 given Aquifer Constant is expressed as Radial Distance at Observation Well 2 = Radial Distance at Observation Well 1*10^((2.72*Aquifer Constant*(Drawdown in Well 1-Drawdown in Well 2))/Discharge). Here is an example- 11.49728 = 1.07*10^((2.72*24.67*(2.15-2.136))/0.911).

How to calculate Radial Distance from Well 2 given Aquifer Constant?

With Radial Distance at Observation Well 1 (r₁), Aquifer Constant (T), Drawdown in Well 1 (s₁), Drawdown in Well 2 (s₂) & Discharge (Q_w) we can find Radial Distance from Well 2 given Aquifer Constant using the formula - Radial Distance at Observation Well 2 = Radial Distance at Observation Well 1*10^((2.72*Aquifer Constant*(Drawdown in Well 1-Drawdown in Well 2))/Discharge).

Can the Radial Distance from Well 2 given Aquifer Constant be negative?

Yes, the Radial Distance from Well 2 given Aquifer Constant, measured in Length can be negative.

Which unit is used to measure Radial Distance from Well 2 given Aquifer Constant?

Radial Distance from Well 2 given Aquifer Constant is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radial Distance from Well 2 given Aquifer Constant can be measured.

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