Unconfined Aquifer Discharge given Aquifer Constant Calculator

✖Aquifer Constant is also known as coefficient of transmissibility.ⓘ Aquifer Constant [T]			+10% -10%
✖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 2 [r₂]			+10% -10%
✖Radial Distance at Observation Well 1 is the value of radial distance from well 1 when we have prior information of other parameters used.ⓘ Radial Distance at Observation Well 1 [r₁]			+10% -10%
✖Modified Drawdown 1 is the modified value of drawdown for well 1.ⓘ Modified Drawdown 1 [s1^']			+10% -10%
✖Modified Drawdown 2 is the modified value of drawdown for well 2.ⓘ Modified Drawdown 2 [s2^']			+10% -10%

✖Discharge is the rate of flow of a liquid.ⓘ Unconfined Aquifer Discharge given Aquifer Constant [Q]

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Formula

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Unconfined Aquifer Discharge given Aquifer Constant

Formula

`"Q" = "T"/((log(("r"_{"2"}/"r"_{"1"}),e))/(2.72*("s1"^{"'"}-"s2"^{"'"})))`

Example

`"1.049782m³/s"="24.67"/((log(("10.0m"/"1.07m"),e))/(2.72*("1.721m"-"1.714m")))`

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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.
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: 24.67 --> 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^'))) --> 24.67/((log((10/1.07),e))/(2.72*(1.721-1.714)))

Evaluating ... ...

Q = 1.04978249775544

STEP 3: Convert Result to Output's Unit

1.04978249775544 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

1.04978249775544 ≈ 1.049782 Cubic Meter per Second <-- Discharge

(Calculation completed in 00.004 seconds)

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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)

Unconfined Aquifer Discharge given Aquifer Constant Formula

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 is defined as the value of discharge when we have prior information of other parameters used. 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 -> 0.325583 = 24.67/((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 is defined as the value of discharge when we have prior information of other parameters used 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 is defined as the value of discharge when we have prior information of other parameters used 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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