Unconfined Aquifer Discharge given Aquifer Constant Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
Q = T/((log((r2/r1),e))/(2.72*(s1'-s2')))
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
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid through well or aquifers.
Aquifer Constant - Aquifer Constant is also known as coefficient of transmissibility.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Aquifer Constant: 26.52 --> 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
Modified Drawdown 1: 1.721 Meter --> 1.721 Meter No Conversion Required
Modified Drawdown 2: 1.714 Meter --> 1.714 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = T/((log((r2/r1),e))/(2.72*(s1'-s2'))) --> 26.52/((log((10/1.07),e))/(2.72*(1.721-1.714)))
Evaluating ... ...
Q = 1.12850554683722
STEP 3: Convert Result to Output's Unit
1.12850554683722 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
1.12850554683722 1.128506 Cubic Meter per Second <-- Discharge
(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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Modified Discharge And Drawdown in Unconfined Aquifers Calculators

Thickness of Aquifer from Impermeable Layer given Modified Drawdown in Well 1
​ LaTeX ​ 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
​ LaTeX ​ Go Unconfined Aquifer Thickness = ((Drawdown in Well 2)^2/(2*(Drawdown in Well 2-Modified Drawdown 2)))
Modified Drawdown in Well 1
​ LaTeX ​ Go Modified Drawdown 1 = Drawdown in Well 1-((Drawdown in Well 1)^2/(2*Initial Aquifer Thickness))
Modified Drawdown in Well 2
​ LaTeX ​ Go Modified Drawdown 2 = Drawdown in Well 2-((Drawdown in Well 2)^2/(2*Initial Aquifer Thickness))

Unconfined Aquifer Discharge given Aquifer Constant Formula

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

What is Aquifer?

An aquifer is a body of rock and/or sediment that holds groundwater. Groundwater is the word used to describe precipitation that has infiltrated the soil beyond the surface and collected in empty spaces underground.

How to Calculate Unconfined Aquifer Discharge given Aquifer Constant?

Unconfined Aquifer Discharge given Aquifer Constant calculator uses 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))) to calculate the Discharge, The Unconfined Aquifer Discharge given Aquifer Constant formula is defined as the value of discharge when we have prior information of aquifer constant. Discharge is denoted by Q symbol.

How to calculate Unconfined Aquifer Discharge given Aquifer Constant using this online calculator? To use this online calculator for Unconfined Aquifer Discharge given Aquifer Constant, enter Aquifer Constant (T), Radial Distance at Observation Well 2 (r2), Radial Distance at Observation Well 1 (r1), Modified Drawdown 1 (s1') & Modified Drawdown 2 (s2') and hit the calculate button. Here is how the Unconfined Aquifer Discharge given Aquifer Constant calculation can be explained with given input values -> 1.049782 = 26.52/((log((10/1.07),e))/(2.72*(1.721-1.714))).

FAQ

What is Unconfined Aquifer Discharge given Aquifer Constant?
The Unconfined Aquifer Discharge given Aquifer Constant formula is defined as the value of discharge when we have prior information of aquifer constant and is represented as Q = T/((log((r2/r1),e))/(2.72*(s1'-s2'))) or 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))). Aquifer Constant is also known as coefficient of transmissibility, 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, Modified Drawdown 1 is the modified value of drawdown for well 1 & Modified Drawdown 2 is the modified value of drawdown for well 2.
How to calculate Unconfined Aquifer Discharge given Aquifer Constant?
The Unconfined Aquifer Discharge given Aquifer Constant formula is defined as the value of discharge when we have prior information of aquifer constant is calculated using 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))). To calculate Unconfined Aquifer Discharge given Aquifer Constant, you need Aquifer Constant (T), Radial Distance at Observation Well 2 (r2), Radial Distance at Observation Well 1 (r1), Modified Drawdown 1 (s1') & Modified Drawdown 2 (s2'). With our tool, you need to enter the respective value for Aquifer Constant, Radial Distance at Observation Well 2, Radial Distance at Observation Well 1, Modified Drawdown 1 & Modified Drawdown 2 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 Discharge?
In this formula, Discharge uses Aquifer Constant, Radial Distance at Observation Well 2, Radial Distance at Observation Well 1, Modified Drawdown 1 & Modified Drawdown 2. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Discharge = (2.72*Difference in Drawdowns*Aquifer Constant)
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