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Area of Well given Time Interval Formula

GoArea of Well when Discharged from Open Well is Considered Formula

GoArea of Well given Specific Capacity per unit Well Area of Aquifer Formula

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

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

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

Area of Well given Time Interval Example

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Here is how the Area of Well given Time Interval equation looks like with Values.

Here is how the Area of Well given Time Interval equation looks like with Units.

Here is how the Area of Well given Time Interval equation looks like.

21.1362 = 4.285 \cdot \frac{2}{\ln (\frac{15}{10})}

21.1362m² = 4.285 \cdot \frac{2s}{\ln (\frac{15m}{10m})}

21.1362 = 4.285 \cdot \frac{2}{\ln (\frac{15}{10})}

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Area of Well given Time Interval Solution

Follow our step by step solution on how to calculate Area of Well given Time Interval?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = 4.285 \cdot \frac{2s}{\ln (\frac{15m}{10m})}

Next Step Prepare to Evaluate

∴

A = 4.285 \cdot \frac{2}{\ln (\frac{15}{10})}

Next Step Evaluate

∴

A = 21.136220672566m²

LAST Step Rounding Answer

∴

A = 21.1362m²

Area of Well given Time Interval Formula Elements

Variables

Functions

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

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

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 Area of the Well

Go Area of Well when Discharged from Open Well is Considered

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

Go Area of Well given Specific Capacity per unit Well Area of Aquifer

A = \frac{K 0}{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 Proportionality Constant per unit Well Area of Aquifer

K 0 = A \cdot ((\frac{1}{T r}) \cdot \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 Area of Well given Time Interval?

Area of Well given Time Interval evaluator uses Area of the Well = Proportionality Constant*Time Interval/ln(Drawdown at the Start of Recuperation/Drawdown at a Time) to evaluate the Area of the Well, The Area of Well given Time Interval formula is defined as the land area around a well that is influenced by pumping when a specific duration or period of time used for measuring or analyzing drawdown is known. Area of the Well is denoted by A symbol.

How to evaluate Area of Well given Time Interval using this online evaluator? To use this online evaluator for Area of Well given Time Interval, enter Proportionality Constant (K₀), Time Interval (T_r), Drawdown at the Start of Recuperation (H₁) & Drawdown at a Time (H₂) and hit the calculate button.

FAQs on Area of Well given Time Interval

What is the formula to find Area of Well given Time Interval?

The formula of Area of Well given Time Interval is expressed as Area of the Well = Proportionality Constant*Time Interval/ln(Drawdown at the Start of Recuperation/Drawdown at a Time). Here is an example- 21.13622 = 4.285*2/ln(15/10).

How to calculate Area of Well given Time Interval?

With Proportionality Constant (K₀), Time Interval (T_r), Drawdown at the Start of Recuperation (H₁) & Drawdown at a Time (H₂) we can find Area of Well given Time Interval using the formula - Area of the Well = Proportionality Constant*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 Area of the Well?

Here are the different ways to Calculate Area of the Well-

Area of the Well=Yield from an Open Well/(Specific Capacity*Depression Head)
Area of the Well=Proportionality Constant/Specific Capacity

Can the Area of Well given Time Interval be negative?

No, the Area of Well given Time Interval, measured in Area cannot be negative.

Which unit is used to measure Area of Well given Time Interval?

Area of Well given Time Interval is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Well given Time Interval can be measured.

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: Unit

Area of Well given Time Interval Formula

​GoArea of Well when Discharged from Open Well is Considered Formula

​GoArea of Well given Specific Capacity per unit Well Area of Aquifer Formula

Area of Well given Time Interval Example

Area of Well given Time Interval Solution

Area of Well given Time Interval Formula Elements

Other Formulas to find Area of the Well

Other formulas in Recuperation Test category

How to Evaluate Area of Well given Time Interval?

FAQs on Area of Well given Time Interval

Variable Name

GoArea of Well when Discharged from Open Well is Considered Formula

GoArea of Well given Specific Capacity per unit Well Area of Aquifer Formula