Equation for Time Interval Calculator

✖The Area of the Well is referred as land area around a well that is influenced by pumping.ⓘ Area of the Well [A]			+10% -10%
✖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.ⓘ Proportionality Constant [K₀]			+10% -10%
✖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.ⓘ Drawdown at the Start of Recuperation [H₁]			+10% -10%
✖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.ⓘ Drawdown at a Time [H₂]			+10% -10%

✖The Time Interval refers to a specific duration or period of time used for measuring or analyzing drawdown.ⓘ Equation for Time Interval [T_r]

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Formula

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Equation for Time Interval

Formula

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

Example

1.892486 s = (\frac{20 m²}{4.285}) \cdot \ln (\frac{15.0 m}{10.0 m})

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Equation for Time Interval Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time Interval = (Area of the Well/Proportionality Constant)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time)
T_r = (A/K₀)*ln(H₁/H₂)
This formula uses 1 Functions, 5 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Time Interval - (Measured in Second) - The Time Interval refers to a specific duration or period of time used for measuring or analyzing drawdown.
Area of the Well - (Measured in Square Meter) - The Area of the Well is referred as land area around a well that is influenced by pumping.
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.
Drawdown at the Start of Recuperation - (Measured in Meter) - 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.
Drawdown at a Time - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Area of the Well: 20 Square Meter --> 20 Square Meter No Conversion Required
Proportionality Constant: 4.285 --> No Conversion Required
Drawdown at the Start of Recuperation: 15 Meter --> 15 Meter No Conversion Required
Drawdown at a Time: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_r = (A/K₀)*ln(H₁/H₂) --> (20/4.285)*ln(15/10)

Evaluating ... ...

T_r = 1.89248591882457

STEP 3: Convert Result to Output's Unit

1.89248591882457 Second --> No Conversion Required

FINAL ANSWER

1.89248591882457 ≈ 1.892486 Second <-- Time Interval

(Calculation completed in 00.004 seconds)

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< Recuperation Test Calculators

Proportionality Constant per unit Well Area of Aquifer

Go Proportionality Constant = Area of the Well*((1/Time Interval)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time))

Equation for Time Interval

Go Time Interval = (Area of the Well/Proportionality Constant)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time)

Area of Well given Time Interval

Go Area of the Well = Proportionality Constant*Time Interval/ln(Drawdown at the Start of Recuperation/Drawdown at a Time)

Discharge from Open Well under Depression Head

Go Yield from an Open Well = Specific Capacity*Area of the Well*Depression Head

Equation for Time Interval Formula

Time Interval = (Area of the Well/Proportionality Constant)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time)
T_r = (A/K₀)*ln(H₁/H₂)

What is an Aquifer?

An Aquifer is an underground layer of water-bearing permeable rock, rock fractures or unconsolidated materials (gravel, sand, or silt). Groundwater can be extracted using a water well. The study of water flow in aquifers and the characterization of aquifers is called hydrogeology

How to Calculate Equation for Time Interval?

Equation for Time Interval calculator uses Time Interval = (Area of the Well/Proportionality Constant)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time) to calculate 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 calculate Equation for Time Interval using this online calculator? To use this online calculator 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. Here is how the Equation for Time Interval calculation can be explained with given input values -> 1.892486 = (20/4.285)*ln(15/10).

FAQ

What is Equation for 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 and is represented as T_r = (A/K₀)*ln(H₁/H₂) or Time Interval = (Area of the Well/Proportionality Constant)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time). The Area of the Well is referred as land area around a well that is influenced by pumping, 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, 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 & 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.

How to calculate Equation for 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 is calculated using Time Interval = (Area of the Well/Proportionality Constant)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time). To calculate Equation for Time Interval, you need Area of the Well (A), Proportionality Constant (K₀), Drawdown at the Start of Recuperation (H₁) & Drawdown at a Time (H₂). With our tool, you need to enter the respective value for Area of the Well, Proportionality Constant, Drawdown at the Start of Recuperation & Drawdown at a Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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