Modified Drawdown in Well 1 Calculator

✖Drawdown in well 1 is a peak-to-trough decline during a specific period for well 1.ⓘ Drawdown in well 1 [s₁]			+10% -10%
✖Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping.ⓘ Initial Aquifer Thickness [H_i]			+10% -10%

✖Modified Drawdown 1 is the modified value of drawdown for well 1.ⓘ Modified Drawdown in Well 1 [s1^']

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Formula

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Modified Drawdown in Well 1

Formula

`"s1"^{"'"} = "s"_{"1"}-(("s"_{"1"})^2/(2*"H"_{"i"}))`

Example

`"1.240059m"="2.15m"-(("2.15m")^2/(2*"2.54m"))`

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Modified Drawdown in Well 1 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modified Drawdown 1 = Drawdown in well 1-((Drawdown in well 1)^2/(2*Initial Aquifer Thickness))
s1^' = s₁-((s₁)^2/(2*H_i))
This formula uses 3 Variables

Variables Used

Modified Drawdown 1 - (Measured in Meter) - Modified Drawdown 1 is the modified value of drawdown for well 1.
Drawdown in well 1 - (Measured in Meter) - Drawdown in well 1 is a peak-to-trough decline during a specific period for well 1.
Initial Aquifer Thickness - (Measured in Meter) - Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping.

STEP 1: Convert Input(s) to Base Unit

Drawdown in well 1: 2.15 Meter --> 2.15 Meter No Conversion Required
Initial Aquifer Thickness: 2.54 Meter --> 2.54 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s1^' = s₁-((s₁)^2/(2*H_i)) --> 2.15-((2.15)^2/(2*2.54))

Evaluating ... ...

s1^' = 1.24005905511811

STEP 3: Convert Result to Output's Unit

1.24005905511811 Meter --> No Conversion Required

FINAL ANSWER

1.24005905511811 ≈ 1.240059 Meter <-- Modified Drawdown 1

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Water Resources : Ground Water » Unconfined Aquifers » Modified Discharge And Drawdown in Unconfined Aquifers » Modified Drawdown in Well 1

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 8 Modified Discharge And Drawdown in Unconfined Aquifers Calculators

Unconfined Aquifer Discharge given Aquifer Constant

Go Discharge = Aquifer Constant/((log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),e))/(2.72*(Modified Drawdown 1-Modified Drawdown 2)))

Modified Drawdown in Well 1 given Aquifer Constant

Go Modified Drawdown 1 = Modified Drawdown 2+((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),e))/(2.72*Aquifer Constant))

Modified Drawdown in Well 2 given Aquifer Constant

Go Modified Drawdown 2 = Modified Drawdown 1-((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),e))/(2.72*Aquifer Constant))

Thickness of Aquifer from Impermeable Layer given Modified Drawdown in Well 1

Go Unconfined Aquifer Thickness = ((Drawdown in well 1)^2/(2*(Drawdown in well 1-Modified Drawdown 1)))

Thickness of Aquifer from Impermeable Layer given Modified Drawdown in Well 2

Go Unconfined Aquifer Thickness = ((Drawdown in well 2)^2/(2*(Drawdown in well 2-Modified Drawdown 2)))

Modified Drawdown in Well 1

Go Modified Drawdown 1 = Drawdown in well 1-((Drawdown in well 1)^2/(2*Initial Aquifer Thickness))

Modified Drawdown in Well 2

Go Modified Drawdown 2 = Drawdown in well 2-((Drawdown in well 2)^2/(2*Initial Aquifer Thickness))

Discharge given Difference between Modified Drawdowns

Go Discharge = (2.72*Difference in Drawdowns*Aquifer Constant)

Modified Drawdown in Well 1 Formula

Modified Drawdown 1 = Drawdown in well 1-((Drawdown in well 1)^2/(2*Initial Aquifer Thickness))
s1^' = s₁-((s₁)^2/(2*H_i))

What is Drawdown?

A drawdown is a peak-to-trough decline during a specific period for an investment, trading account, or fund. A drawdown is usually quoted as the percentage between the peak and the subsequent trough.

How to Calculate Modified Drawdown in Well 1?

Modified Drawdown in Well 1 calculator uses Modified Drawdown 1 = Drawdown in well 1-((Drawdown in well 1)^2/(2*Initial Aquifer Thickness)) to calculate the Modified Drawdown 1, The Modified Drawdown in Well 1 is defined as the value of modified drawdown when we have prior information of other parameters used. Modified Drawdown 1 is denoted by s1^' symbol.

How to calculate Modified Drawdown in Well 1 using this online calculator? To use this online calculator for Modified Drawdown in Well 1, enter Drawdown in well 1 (s₁) & Initial Aquifer Thickness (H_i) and hit the calculate button. Here is how the Modified Drawdown in Well 1 calculation can be explained with given input values -> 2.034438 = 2.15-((2.15)^2/(2*2.54)).

FAQ

What is Modified Drawdown in Well 1?

The Modified Drawdown in Well 1 is defined as the value of modified drawdown when we have prior information of other parameters used and is represented as s1^' = s₁-((s₁)^2/(2*H_i)) or Modified Drawdown 1 = Drawdown in well 1-((Drawdown in well 1)^2/(2*Initial Aquifer Thickness)). Drawdown in well 1 is a peak-to-trough decline during a specific period for well 1 & Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping.

How to calculate Modified Drawdown in Well 1?

The Modified Drawdown in Well 1 is defined as the value of modified drawdown when we have prior information of other parameters used is calculated using Modified Drawdown 1 = Drawdown in well 1-((Drawdown in well 1)^2/(2*Initial Aquifer Thickness)). To calculate Modified Drawdown in Well 1, you need Drawdown in well 1 (s₁) & Initial Aquifer Thickness (H_i). With our tool, you need to enter the respective value for Drawdown in well 1 & Initial Aquifer Thickness 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 Modified Drawdown 1?

In this formula, Modified Drawdown 1 uses Drawdown in well 1 & Initial Aquifer Thickness. We can use 1 other way(s) to calculate the same, which is/are as follows -

Modified Drawdown 1 = Modified Drawdown 2+((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),e))/(2.72*Aquifer Constant))

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