Drawdown when Steady Flow of Unconfined Aquifer Solution

STEP 0: Pre-Calculation Summary
Formula Used
Drawdown at the Pumping Well = (Steady Flow of an Unconfined Aquifer*ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well))/(2*pi*Transmissivity of an Unconfined Aquifer)
sw = (Qu*ln(r/Rw))/(2*pi*T)
This formula uses 1 Constants, 1 Functions, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)
Variables Used
Drawdown at the Pumping Well - (Measured in Meter) - The Drawdown at the Pumping Well refers to the term applied to the maximum lowering of the groundwater table caused by pumping or artesian flow.
Steady Flow of an Unconfined Aquifer - (Measured in Cubic Meter per Second) - The Steady Flow of an Unconfined Aquifer refers to a condition where the groundwater flow rate and the water table level remain constant over time.
Radius at the Edge of Zone of Influence - (Measured in Meter) - The Radius at the Edge of Zone of Influence refers to the maximum distance from a pumping well where the effects of drawdown (lowering of the water table) can be detected.
Radius of the Pumping Well - (Measured in Meter) - The Radius of the Pumping Well refers to the physical radius of the well itself, typically measured from the center of the well to its outer edge.
Transmissivity of an Unconfined Aquifer - (Measured in Square Meter per Second) - The Transmissivity of an Unconfined Aquifer refers to the ability of the aquifer to transmit groundwater throughout its entire saturated thickness.
STEP 1: Convert Input(s) to Base Unit
Steady Flow of an Unconfined Aquifer: 65 Cubic Meter per Second --> 65 Cubic Meter per Second No Conversion Required
Radius at the Edge of Zone of Influence: 25 Meter --> 25 Meter No Conversion Required
Radius of the Pumping Well: 6 Meter --> 6 Meter No Conversion Required
Transmissivity of an Unconfined Aquifer: 0.703 Square Meter per Second --> 0.703 Square Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
sw = (Qu*ln(r/Rw))/(2*pi*T) --> (65*ln(25/6))/(2*pi*0.703)
Evaluating ... ...
sw = 21.0008825802025
STEP 3: Convert Result to Output's Unit
21.0008825802025 Meter --> No Conversion Required
FINAL ANSWER
21.0008825802025 21.00088 Meter <-- Drawdown at the Pumping Well
(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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Approximate Equations Calculators

Transmissivity when Discharge at Drawdown is Considered
​ LaTeX ​ Go Transmissivity of an Unconfined Aquifer = (Steady Flow of an Unconfined Aquifer*ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well))/(2*pi*Drawdown at the Pumping Well)
Drawdown when Steady Flow of Unconfined Aquifer
​ LaTeX ​ Go Drawdown at the Pumping Well = (Steady Flow of an Unconfined Aquifer*ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well))/(2*pi*Transmissivity of an Unconfined Aquifer)
Discharge when Drawdown at Pumping Well is Considered
​ LaTeX ​ Go Steady Flow of an Unconfined Aquifer = 2*pi*Transmissivity of an Unconfined Aquifer*Drawdown at the Pumping Well/ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well)
Drawdown at Pumping Well
​ LaTeX ​ Go Drawdown at the Pumping Well = (Saturated Thickness of the Aquifer-Depth of Water in the Pumping Well)

Drawdown when Steady Flow of Unconfined Aquifer Formula

​LaTeX ​Go
Drawdown at the Pumping Well = (Steady Flow of an Unconfined Aquifer*ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well))/(2*pi*Transmissivity of an Unconfined Aquifer)
sw = (Qu*ln(r/Rw))/(2*pi*T)

What is Groundwater Recharge?

Groundwater Recharge or deep drainage or deep percolation is a hydrologic process, where water moves downward from surface water to groundwater. Recharge is the primary method through which water enters an aquifer . This process usually occurs in the vadose zone below plant roots and, is often expressed as a flux to the water table surface.

How to Calculate Drawdown when Steady Flow of Unconfined Aquifer?

Drawdown when Steady Flow of Unconfined Aquifer calculator uses Drawdown at the Pumping Well = (Steady Flow of an Unconfined Aquifer*ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well))/(2*pi*Transmissivity of an Unconfined Aquifer) to calculate the Drawdown at the Pumping Well, The Drawdown when Steady Flow of Unconfined Aquifer formula is defined as the term applied to maximum lowering of groundwater table caused by pumping or artesian flow. Drawdown at the Pumping Well is denoted by sw symbol.

How to calculate Drawdown when Steady Flow of Unconfined Aquifer using this online calculator? To use this online calculator for Drawdown when Steady Flow of Unconfined Aquifer, enter Steady Flow of an Unconfined Aquifer (Qu), Radius at the Edge of Zone of Influence (r), Radius of the Pumping Well (Rw) & Transmissivity of an Unconfined Aquifer (T) and hit the calculate button. Here is how the Drawdown when Steady Flow of Unconfined Aquifer calculation can be explained with given input values -> 21.00088 = (65*ln(25/6))/(2*pi*0.703).

FAQ

What is Drawdown when Steady Flow of Unconfined Aquifer?
The Drawdown when Steady Flow of Unconfined Aquifer formula is defined as the term applied to maximum lowering of groundwater table caused by pumping or artesian flow and is represented as sw = (Qu*ln(r/Rw))/(2*pi*T) or Drawdown at the Pumping Well = (Steady Flow of an Unconfined Aquifer*ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well))/(2*pi*Transmissivity of an Unconfined Aquifer). The Steady Flow of an Unconfined Aquifer refers to a condition where the groundwater flow rate and the water table level remain constant over time, The Radius at the Edge of Zone of Influence refers to the maximum distance from a pumping well where the effects of drawdown (lowering of the water table) can be detected, The Radius of the Pumping Well refers to the physical radius of the well itself, typically measured from the center of the well to its outer edge & The Transmissivity of an Unconfined Aquifer refers to the ability of the aquifer to transmit groundwater throughout its entire saturated thickness.
How to calculate Drawdown when Steady Flow of Unconfined Aquifer?
The Drawdown when Steady Flow of Unconfined Aquifer formula is defined as the term applied to maximum lowering of groundwater table caused by pumping or artesian flow is calculated using Drawdown at the Pumping Well = (Steady Flow of an Unconfined Aquifer*ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well))/(2*pi*Transmissivity of an Unconfined Aquifer). To calculate Drawdown when Steady Flow of Unconfined Aquifer, you need Steady Flow of an Unconfined Aquifer (Qu), Radius at the Edge of Zone of Influence (r), Radius of the Pumping Well (Rw) & Transmissivity of an Unconfined Aquifer (T). With our tool, you need to enter the respective value for Steady Flow of an Unconfined Aquifer, Radius at the Edge of Zone of Influence, Radius of the Pumping Well & Transmissivity of an Unconfined Aquifer 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 at the Pumping Well?
In this formula, Drawdown at the Pumping Well uses Steady Flow of an Unconfined Aquifer, Radius at the Edge of Zone of Influence, Radius of the Pumping Well & Transmissivity of an Unconfined Aquifer. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Drawdown at the Pumping Well = (Saturated Thickness of the Aquifer-Depth of Water in the Pumping Well)
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