Proportionality Constant per unit Well Area of Aquifer 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 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 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 per unit Well Area of Aquifer [K₀]

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Proportionality Constant per unit Well Area of Aquifer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Proportionality Constant = Area of the Well*((1/Time Interval)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time))
K₀ = A*((1/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

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.
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.
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

Area of the Well: 20 Square Meter --> 20 Square Meter 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

K₀ = A*((1/T_r)*ln(H₁/H₂)) --> 20*((1/2)*ln(15/10))

Evaluating ... ...

K₀ = 4.05465108108164

STEP 3: Convert Result to Output's Unit

4.05465108108164 --> No Conversion Required

FINAL ANSWER

4.05465108108164 ≈ 4.054651 <-- Proportionality Constant

(Calculation completed in 00.020 seconds)

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Proportionality Constant per unit Well Area of Aquifer

LaTeX 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

LaTeX 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

LaTeX 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

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

Proportionality Constant per unit Well Area of Aquifer Formula

LaTeX Go

Proportionality Constant = Area of the Well*((1/Time Interval)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time))
K₀ = A*((1/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 Proportionality Constant per unit Well Area of Aquifer?

Proportionality Constant per unit Well Area of Aquifer calculator uses Proportionality Constant = Area of the Well*((1/Time Interval)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time)) to calculate 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 calculate Proportionality Constant per unit Well Area of Aquifer using this online calculator? To use this online calculator 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. Here is how the Proportionality Constant per unit Well Area of Aquifer calculation can be explained with given input values -> 4.054651 = 20*((1/2)*ln(15/10)).

FAQ

What is Proportionality Constant per unit Well Area of Aquifer?

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 and is represented as K₀ = A*((1/T_r)*ln(H₁/H₂)) or Proportionality Constant = Area of the Well*((1/Time Interval)*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 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 Proportionality Constant per unit Well Area of Aquifer?

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 is calculated using Proportionality Constant = Area of the Well*((1/Time Interval)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time)). To calculate Proportionality Constant per unit Well Area of Aquifer, you need Area of the Well (A), 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 Area of the Well, 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 Proportionality Constant?

In this formula, Proportionality Constant uses Area of the Well, Time Interval, Drawdown at the Start of Recuperation & Drawdown at a Time. We can use 1 other way(s) to calculate the same, which is/are as follows -

Proportionality Constant = Area of the Well*Specific Capacity

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