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Equation for Time Interval Formula

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

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

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

Equation for Time Interval Example

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Here is how the Equation for Time Interval equation looks like with Values.

Here is how the Equation for Time Interval equation looks like with Units.

Here is how the Equation for Time Interval equation looks like.

1.8925 = (\frac{20}{4.285}) \cdot \ln (\frac{15}{10})

1.8925s = (\frac{20m²}{4.285}) \cdot \ln (\frac{15m}{10m})

1.8925 = (\frac{20}{4.285}) \cdot \ln (\frac{15}{10})

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Equation for Time Interval Solution

Follow our step by step solution on how to calculate Equation for Time Interval?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T r = (\frac{20m²}{4.285}) \cdot \ln (\frac{15m}{10m})

Next Step Prepare to Evaluate

∴

T r = (\frac{20}{4.285}) \cdot \ln (\frac{15}{10})

Next Step Evaluate

∴

T r = 1.89248591882457s

LAST Step Rounding Answer

∴

T r = 1.8925s

Equation for Time Interval Formula Elements

Variables

Functions

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

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

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 in Recuperation Test category

Go Area of Well given Time Interval

A = K 0 \cdot \frac{T r}{\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 Equation for Time Interval?

Equation for Time Interval evaluator uses Time Interval = (Area of the Well/Proportionality Constant)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time) to evaluate the Time Interval, The Equation for Time Interval formula is defined as the time taken to cause a small change in the water level of the catchment under consideration. Time Interval is denoted by T_r symbol.

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

FAQs on Equation for Time Interval

What is the formula to find Equation for Time Interval?

The formula of Equation for Time Interval is expressed as Time Interval = (Area of the Well/Proportionality Constant)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time). Here is an example- 1.892486 = (20/4.285)*ln(15/10).

How to calculate Equation for Time Interval?

With Area of the Well (A), Proportionality Constant (K₀), Drawdown at the Start of Recuperation (H₁) & Drawdown at a Time (H₂) we can find Equation for Time Interval using the formula - Time Interval = (Area of the Well/Proportionality Constant)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time). This formula also uses Natural Logarithm (ln) function(s).

Can the Equation for Time Interval be negative?

No, the Equation for Time Interval, measured in Time cannot be negative.

Which unit is used to measure Equation for Time Interval?

Equation for Time Interval is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Equation for Time Interval can be measured.

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Equation for Time Interval Formula

Equation for Time Interval Example

Equation for Time Interval Solution

Equation for Time Interval Formula Elements

Other formulas in Recuperation Test category

How to Evaluate Equation for Time Interval?

FAQs on Equation for Time Interval

Variable Name