✖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 Time Interval refers to a specific duration or period of time used for measuring or analyzing drawdown.ⓘ Time Interval [T_r]			+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 Area of the Well is referred as land area around a well that is influenced by pumping.ⓘ Area of Well given Time Interval [A]

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Formula

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Area of Well given Time Interval

Formula

`"A" = "K"_{"0"}*"T"_{"r"}/ln("H"_{"1"}/"H"_{"2"})`

Example

`"21.13622m²"="4.285"*"2s"/ln("15.0m"/"10.0m")`

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Area of Well given Time Interval Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
Time Interval - (Measured in Second) - The Time Interval refers to a specific duration or period of time used for measuring or analyzing drawdown.
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

Proportionality Constant: 4.285 --> No Conversion Required
Time Interval: 2 Second --> 2 Second 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

A = K₀*T_r/ln(H₁/H₂) --> 4.285*2/ln(15/10)

Evaluating ... ...

A = 21.136220672566

STEP 3: Convert Result to Output's Unit

21.136220672566 Square Meter --> No Conversion Required

FINAL ANSWER

21.136220672566 ≈ 21.13622 Square Meter <-- Area of the Well

(Calculation completed in 00.004 seconds)

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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)

Depression Head when Discharge from Open Well is Considered

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

Area of Well when Discharged from Open Well is Considered

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

Discharge from Open Well under Depression Head

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

Specific Capacity per unit Well Area for Discharge from Open Well

Go Specific Capacity = Flow Discharge/(Area of the Well*Depression Head)

Proportionality Constant given Specific Capacity per unit well Area of Aquifer

Go Proportionality Constant = Area of the Well*Specific Capacity

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

Go Area of the Well = Proportionality Constant/Specific Capacity

Area of Well given Time Interval Formula

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

What is Groundwater Recharge?

Groundwater Recharge or deep drainage or deep percolation is a hydrologic process, where water moves downward from surface water to groundwater. Recharge is the primary method through which water enters an aquifer.

How to Calculate Area of Well given Time Interval?

Area of Well given Time Interval calculator uses Area of the Well = Proportionality Constant*Time Interval/ln(Drawdown at the Start of Recuperation/Drawdown at a Time) to calculate 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 calculate Area of Well given Time Interval using this online calculator? To use this online calculator 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. Here is how the Area of Well given Time Interval calculation can be explained with given input values -> 21.13622 = 4.285*2/ln(15/10).

FAQ

What is Area of Well given Time Interval?

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 and is represented as A = K₀*T_r/ln(H₁/H₂) or Area of the Well = Proportionality Constant*Time Interval/ln(Drawdown at the Start of Recuperation/Drawdown at a Time). 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 Time Interval refers to a specific duration or period of time used for measuring or analyzing drawdown, 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 Area of Well given Time Interval?

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 is calculated using Area of the Well = Proportionality Constant*Time Interval/ln(Drawdown at the Start of Recuperation/Drawdown at a Time). To calculate Area of Well given Time Interval, you need Proportionality Constant (K₀), Time Interval (T_r), Drawdown at the Start of Recuperation (H₁) & Drawdown at a Time (H₂). With our tool, you need to enter the respective value for Proportionality Constant, Time Interval, 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.

How many ways are there to calculate Area of the Well?

In this formula, Area of the Well uses Proportionality Constant, Time Interval, Drawdown at the Start of Recuperation & Drawdown at a Time. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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