Modified Drawdown in Well 1 given Aquifer Constant Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
s1' = s2'+((Q*log((r2/r1),e))/(2.72* T))
This formula uses 1 Constants, 1 Functions, 6 Variables
Constants Used
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Functions Used
log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)
Variables Used
Modified Drawdown 1 - (Measured in Meter) - Modified Drawdown 1 is the modified value of drawdown for well 1.
Modified Drawdown 2 - (Measured in Meter) - Modified Drawdown 2 is the modified value of drawdown for well 2.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Radial Distance at Observation Well 2 - (Measured in Meter) - Radial Distance at Observation Well 2 is the value of radial distance from well 2 when we have prior information of other parameters used.
Radial Distance at Observation Well 1 - (Measured in Meter) - Radial Distance at Observation Well 1 is the value of radial distance from well 1 when we have prior information of other parameters used.
Aquifer Constant - Aquifer Constant is also known as coefficient of transmissibility.
STEP 1: Convert Input(s) to Base Unit
Modified Drawdown 2: 1.714 Meter --> 1.714 Meter No Conversion Required
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Radial Distance at Observation Well 2: 10 Meter --> 10 Meter No Conversion Required
Radial Distance at Observation Well 1: 1.07 Meter --> 1.07 Meter No Conversion Required
Aquifer Constant: 24.67 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s1' = s2'+((Q*log((r2/r1),e))/(2.72* T)) --> 1.714+((1.01*log((10/1.07),e))/(2.72* 24.67))
Evaluating ... ...
s1' = 1.72073472839861
STEP 3: Convert Result to Output's Unit
1.72073472839861 Meter --> No Conversion Required
FINAL ANSWER
1.72073472839861 1.720735 Meter <-- Modified Drawdown 1
(Calculation completed in 00.004 seconds)

Credits

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Birsa Institute of Technology (BIT), Sindri
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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 given Aquifer Constant Formula

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))
s1' = s2'+((Q*log((r2/r1),e))/(2.72* T))

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 given Aquifer Constant?

Modified Drawdown in Well 1 given Aquifer Constant calculator uses 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)) to calculate the Modified Drawdown 1, The Modified Drawdown in Well 1 given Aquifer Constant is defined as the value of modified drawdown in well 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 given Aquifer Constant using this online calculator? To use this online calculator for Modified Drawdown in Well 1 given Aquifer Constant, enter Modified Drawdown 2 (s2'), Discharge (Q), Radial Distance at Observation Well 2 (r2), Radial Distance at Observation Well 1 (r1) & Aquifer Constant (T) and hit the calculate button. Here is how the Modified Drawdown in Well 1 given Aquifer Constant calculation can be explained with given input values -> 1.735715 = 1.714+((1.01*log((10/1.07),e))/(2.72* 24.67)).

FAQ

What is Modified Drawdown in Well 1 given Aquifer Constant?
The Modified Drawdown in Well 1 given Aquifer Constant is defined as the value of modified drawdown in well when we have prior information of other parameters used and is represented as s1' = s2'+((Q*log((r2/r1),e))/(2.72* T)) or 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 2 is the modified value of drawdown for well 2, Discharge is the rate of flow of a liquid, Radial Distance at Observation Well 2 is the value of radial distance from well 2 when we have prior information of other parameters used, Radial Distance at Observation Well 1 is the value of radial distance from well 1 when we have prior information of other parameters used & Aquifer Constant is also known as coefficient of transmissibility.
How to calculate Modified Drawdown in Well 1 given Aquifer Constant?
The Modified Drawdown in Well 1 given Aquifer Constant is defined as the value of modified drawdown in well when we have prior information of other parameters used is calculated using 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)). To calculate Modified Drawdown in Well 1 given Aquifer Constant, you need Modified Drawdown 2 (s2'), Discharge (Q), Radial Distance at Observation Well 2 (r2), Radial Distance at Observation Well 1 (r1) & Aquifer Constant (T). With our tool, you need to enter the respective value for Modified Drawdown 2, Discharge, Radial Distance at Observation Well 2, Radial Distance at Observation Well 1 & Aquifer Constant 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 Modified Drawdown 2, Discharge, Radial Distance at Observation Well 2, Radial Distance at Observation Well 1 & Aquifer Constant. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Modified Drawdown 1 = Drawdown in well 1-((Drawdown in well 1)^2/(2*Initial Aquifer Thickness))
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