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Proportionality Constant per unit Well Area of Aquifer Formula

GoProportionality Constant given Specific Capacity per unit well Area of Aquifer Formula

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The Proportionality Constant is referred as characteristics of the aquifer and the area of the well. It represents discharge per unit drawdown also called specific capacity of well. Check FAQs

K 0 = A \cdot ((\frac{1}{T r}) \cdot \ln (\frac{H 1}{H 2}))

K₀ - Proportionality Constant?A - Area of the Well?T_r - Time Interval?H₁ - Drawdown at the Start of Recuperation?H₂ - Drawdown at a Time?

Proportionality Constant per unit Well Area of Aquifer Example

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Here is how the Proportionality Constant per unit Well Area of Aquifer equation looks like with Values.

Here is how the Proportionality Constant per unit Well Area of Aquifer equation looks like with Units.

Here is how the Proportionality Constant per unit Well Area of Aquifer equation looks like.

4.0547 = 20 \cdot ((\frac{1}{2}) \cdot \ln (\frac{15}{10}))

4.0547 = 20m² \cdot ((\frac{1}{2s}) \cdot \ln (\frac{15m}{10m}))

4.0547 = 20 \cdot ((\frac{1}{2}) \cdot \ln (\frac{15}{10}))

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Proportionality Constant per unit Well Area of Aquifer Solution

Follow our step by step solution on how to calculate Proportionality Constant per unit Well Area of Aquifer?

FIRST Step Consider the formula

K 0 = A \cdot ((\frac{1}{T r}) \cdot \ln (\frac{H 1}{H 2}))

Next Step Substitute values of Variables

∴

K 0 = 20m² \cdot ((\frac{1}{2s}) \cdot \ln (\frac{15m}{10m}))

Next Step Prepare to Evaluate

∴

K 0 = 20 \cdot ((\frac{1}{2}) \cdot \ln (\frac{15}{10}))

Next Step Evaluate

∴

K 0 = 4.05465108108164

LAST Step Rounding Answer

∴

K 0 = 4.0547

Proportionality Constant per unit Well Area of Aquifer Formula Elements

Variables

Functions

Proportionality Constant

The Proportionality Constant is referred as characteristics of the aquifer and the area of the well. It represents discharge per unit drawdown also called specific capacity of well.

Symbol: K₀

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Proportionality Constant

Area of the Well

The Area of the Well is referred as land area around a well that is influenced by pumping.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of the Well

Time Interval

The Time Interval refers to a specific duration or period of time used for measuring or analyzing drawdown.

Symbol: T_r

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Interval

Drawdown at the Start of Recuperation

The Drawdown at the Start of Recuperation refers to the measurement of the groundwater level immediately after pumping has ceased and natural replenishment (recharge) begins to take effect.

Symbol: H₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Drawdown at the Start of Recuperation

Drawdown at a Time

The Drawdown at a Time refers to the measurement or calculation of the groundwater level decline over a specific period, usually related to pumping or natural recharge cycles.

Symbol: H₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Drawdown at a Time

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other Formulas to find Proportionality Constant

Go Proportionality Constant given Specific Capacity per unit well Area of Aquifer

K 0 = A \cdot K s

Other formulas in Recuperation Test category

Go Equation for Time Interval

T r = (\frac{A}{K 0}) \cdot \ln (\frac{H 1}{H 2})

Go Area of Well given Time Interval

A = K 0 \cdot \frac{T r}{\ln (\frac{H 1}{H 2})}

Go Discharge from Open Well under Depression Head

Q Y = K s \cdot A \cdot H

Go Specific Capacity per unit Well Area for Discharge from Open Well

K s = \frac{Q f}{A \cdot H}

How to Evaluate Proportionality Constant per unit Well Area of Aquifer?

Proportionality Constant per unit Well Area of Aquifer evaluator uses Proportionality Constant = Area of the Well*((1/Time Interval)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time)) to evaluate the Proportionality Constant, The Proportionality Constant per unit Well Area of Aquifer formula is defined as the aquifer parameter depending on the characteristic of the aquifer and the area of the well, which also represents discharge per unit drawdown. Proportionality Constant is denoted by K₀ symbol.

How to evaluate Proportionality Constant per unit Well Area of Aquifer using this online evaluator? To use this online evaluator for Proportionality Constant per unit Well Area of Aquifer, enter Area of the Well (A), Time Interval (T_r), Drawdown at the Start of Recuperation (H₁) & Drawdown at a Time (H₂) and hit the calculate button.

FAQs on Proportionality Constant per unit Well Area of Aquifer

What is the formula to find Proportionality Constant per unit Well Area of Aquifer?

The formula of Proportionality Constant per unit Well Area of Aquifer is expressed as Proportionality Constant = Area of the Well*((1/Time Interval)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time)). Here is an example- 4.054651 = 20*((1/2)*ln(15/10)).

How to calculate Proportionality Constant per unit Well Area of Aquifer?

With Area of the Well (A), Time Interval (T_r), Drawdown at the Start of Recuperation (H₁) & Drawdown at a Time (H₂) we can find Proportionality Constant per unit Well Area of Aquifer using the formula - Proportionality Constant = Area of the Well*((1/Time Interval)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time)). This formula also uses Natural Logarithm (ln) function(s).

What are the other ways to Calculate Proportionality Constant?

Here are the different ways to Calculate Proportionality Constant-

Proportionality Constant=Area of the Well*Specific Capacity

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Proportionality Constant per unit Well Area of Aquifer Formula

​GoProportionality Constant given Specific Capacity per unit well Area of Aquifer Formula

Proportionality Constant per unit Well Area of Aquifer Example

Proportionality Constant per unit Well Area of Aquifer Solution

Proportionality Constant per unit Well Area of Aquifer Formula Elements

Other Formulas to find Proportionality Constant

Other formulas in Recuperation Test category

How to Evaluate Proportionality Constant per unit Well Area of Aquifer?

FAQs on Proportionality Constant per unit Well Area of Aquifer

Variable Name

GoProportionality Constant given Specific Capacity per unit well Area of Aquifer Formula