Drawdown in Well 1 given Aquifer Constant Solution

STEP 0: Pre-Calculation Summary
Formula Used
Drawdown in Well 1 = Drawdown in Well 2+((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(2.72*Aquifer Constant))
s1 = s2+((Qw*log((r2/r1),10))/(2.72*T))
This formula uses 1 Functions, 6 Variables
Functions Used
log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)
Variables Used
Drawdown in Well 1 - (Measured in Meter) - Drawdown in Well 1 refers to the reduction in water level caused by pumping in a well.
Drawdown in Well 2 - (Measured in Meter) - Drawdown in Well 2 refers to the reduction in water level caused by pumping in a well.
Discharge - (Measured in Cubic Meter per Second) - Discharge refers to the volume of water that flows through the aquifer over a given period.
Radial Distance at Observation Well 2 - (Measured in Meter) - Radial distance at Observation Well 2 refers to the horizontal distance from the center of a pumping well to the observation well, where groundwater levels are monitored.
Radial Distance at Observation Well 1 - (Measured in Meter) - Radial distance at Observation Well 1 refers to the horizontal distance from the center of a pumping well to the observation well, where groundwater levels are monitored.
Aquifer Constant - Aquifer Constant refers to the product of the hydraulic conductivity (K) and the thickness (b) of an aquifer and also known as coefficient of transmissibility.
STEP 1: Convert Input(s) to Base Unit
Drawdown in Well 2: 2.136 Meter --> 2.136 Meter No Conversion Required
Discharge: 0.911 Cubic Meter per Second --> 0.911 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+((Qw*log((r2/r1),10))/(2.72*T)) --> 2.136+((0.911*log((10/1.07),10))/(2.72*24.67))
Evaluating ... ...
s1 = 2.14998726418989
STEP 3: Convert Result to Output's Unit
2.14998726418989 Meter --> No Conversion Required
FINAL ANSWER
2.14998726418989 2.149987 Meter <-- Drawdown in Well 1
(Calculation completed in 00.004 seconds)

Credits

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Meerut Institute of Engineering and Technology (MIET), Meerut
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Discharge And Drawdown in Well Calculators

Drawdown in Well 1 given Aquifer Constant
​ LaTeX ​ Go Drawdown in Well 1 = Drawdown in Well 2+((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(2.72*Aquifer Constant))
Drawdown in Well 2 given Aquifer Constant
​ LaTeX ​ Go Drawdown in Well 2 = Drawdown in Well 1-((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(2.72*Aquifer Constant))
Drawdown in Well 1 given Thickness of Aquifer from Impermeable Layer
​ LaTeX ​ Go Drawdown in Well 1 = Thickness of Aquifer-Depth of Water in Well 1
Drawdown in Well 2 given Thickness of Aquifer from Impermeable Layer
​ LaTeX ​ Go Drawdown in Well 2 = Thickness of Aquifer-Depth of Water in Well 2

Drawdown in Well 1 given Aquifer Constant Formula

​LaTeX ​Go
Drawdown in Well 1 = Drawdown in Well 2+((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(2.72*Aquifer Constant))
s1 = s2+((Qw*log((r2/r1),10))/(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 Drawdown in Well 1 given Aquifer Constant?

Drawdown in Well 1 given Aquifer Constant calculator uses Drawdown in Well 1 = Drawdown in Well 2+((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(2.72*Aquifer Constant)) to calculate the Drawdown in Well 1, Drawdown in Well 1 given Aquifer Constant formula is defined as a measure of the decline in hydraulic head in a well due to pumping, which is influenced by the aquifer's properties and the distance between the pumping and observation wells in a confined aquifer system. Drawdown in Well 1 is denoted by s1 symbol.

How to calculate Drawdown in Well 1 given Aquifer Constant using this online calculator? To use this online calculator for Drawdown in Well 1 given Aquifer Constant, enter Drawdown in Well 2 (s2), Discharge (Qw), 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 Drawdown in Well 1 given Aquifer Constant calculation can be explained with given input values -> 2.149987 = 2.136+((0.911*log((10/1.07),10))/(2.72*24.67)).

FAQ

What is Drawdown in Well 1 given Aquifer Constant?
Drawdown in Well 1 given Aquifer Constant formula is defined as a measure of the decline in hydraulic head in a well due to pumping, which is influenced by the aquifer's properties and the distance between the pumping and observation wells in a confined aquifer system and is represented as s1 = s2+((Qw*log((r2/r1),10))/(2.72*T)) or Drawdown in Well 1 = Drawdown in Well 2+((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(2.72*Aquifer Constant)). Drawdown in Well 2 refers to the reduction in water level caused by pumping in a well, Discharge refers to the volume of water that flows through the aquifer over a given period, Radial distance at Observation Well 2 refers to the horizontal distance from the center of a pumping well to the observation well, where groundwater levels are monitored, Radial distance at Observation Well 1 refers to the horizontal distance from the center of a pumping well to the observation well, where groundwater levels are monitored & Aquifer Constant refers to the product of the hydraulic conductivity (K) and the thickness (b) of an aquifer and also known as coefficient of transmissibility.
How to calculate Drawdown in Well 1 given Aquifer Constant?
Drawdown in Well 1 given Aquifer Constant formula is defined as a measure of the decline in hydraulic head in a well due to pumping, which is influenced by the aquifer's properties and the distance between the pumping and observation wells in a confined aquifer system is calculated using Drawdown in Well 1 = Drawdown in Well 2+((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(2.72*Aquifer Constant)). To calculate Drawdown in Well 1 given Aquifer Constant, you need Drawdown in Well 2 (s2), Discharge (Qw), 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 Drawdown in Well 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 Drawdown in Well 1?
In this formula, Drawdown in Well 1 uses Drawdown in Well 2, Discharge, Radial Distance at Observation Well 2, Radial Distance at Observation Well 1 & Aquifer Constant. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Drawdown in Well 1 = Thickness of Aquifer-Depth of Water in Well 1
  • Drawdown in Well 1 = Drawdown in Well 2+((Discharge)/(2.72*Aquifer Constant))
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