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Well Function of u is the data plot of drawdown versus time (or drawdown versus t/rz) is matched to the type curve of W(u) versus 1/u. Check FAQs
Wu=4πFTstQ
Wu - Well Function of u?FT - Formation Constant T given Change in Drawdown?st - Total Drawdown in Well?Q - Discharge?π - Archimedes' constant?

Well Function given Drawdown Example

With values
With units
Only example

Here is how the Well Function given Drawdown equation looks like with Values.

Here is how the Well Function given Drawdown equation looks like with Units.

Here is how the Well Function given Drawdown equation looks like.

8.3028Edit=43.14160.804Edit0.83Edit1.01Edit
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Well Function given Drawdown Solution

Follow our step by step solution on how to calculate Well Function given Drawdown?

FIRST Step Consider the formula
Wu=4πFTstQ
Next Step Substitute values of Variables
Wu=4π0.804m²/s0.83m1.01m³/s
Next Step Substitute values of Constants
Wu=43.14160.804m²/s0.83m1.01m³/s
Next Step Prepare to Evaluate
Wu=43.14160.8040.831.01
Next Step Evaluate
Wu=8.30276281027145
LAST Step Rounding Answer
Wu=8.3028

Well Function given Drawdown Formula Elements

Variables
Constants
Well Function of u
Well Function of u is the data plot of drawdown versus time (or drawdown versus t/rz) is matched to the type curve of W(u) versus 1/u.
Symbol: Wu
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formation Constant T given Change in Drawdown
Formation Constant T given Change in Drawdown is defined as the difference at the two wells.
Symbol: FT
Measurement: Kinematic ViscosityUnit: m²/s
Note: Value should be greater than 0.
Total Drawdown in Well
Total Drawdown in Well is defined as the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test.
Symbol: st
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Discharge
Discharge is the rate of flow of a fluid in unsteady flow.
Symbol: Q
Measurement: Volumetric Flow RateUnit: m³/s
Note: Value can be positive or negative.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288

Other Formulas to find Well Function of u

​Go Well Function given Chow's Function
Wu=Fu2.303
​Go Well Function given Constant dependent on Well Function and Chow's Function
Wu=2.303Fuexp(u)

How to Evaluate Well Function given Drawdown?

Well Function given Drawdown evaluator uses Well Function of u = (4*pi*Formation Constant T given Change in Drawdown*Total Drawdown in Well)/Discharge to evaluate the Well Function of u, Well Function given Drawdown formula is defined as a measure of the water level in a pumping well, describing the change in water level over time in response to pumping, and is used to analyze and predict groundwater flow in unsteady flow conditions. Well Function of u is denoted by Wu symbol.

How to evaluate Well Function given Drawdown using this online evaluator? To use this online evaluator for Well Function given Drawdown, enter Formation Constant T given Change in Drawdown (FT), Total Drawdown in Well (st) & Discharge (Q) and hit the calculate button.

FAQs on Well Function given Drawdown

What is the formula to find Well Function given Drawdown?
The formula of Well Function given Drawdown is expressed as Well Function of u = (4*pi*Formation Constant T given Change in Drawdown*Total Drawdown in Well)/Discharge. Here is an example- 8.302763 = (4*pi*0.804*0.83)/1.01.
How to calculate Well Function given Drawdown?
With Formation Constant T given Change in Drawdown (FT), Total Drawdown in Well (st) & Discharge (Q) we can find Well Function given Drawdown using the formula - Well Function of u = (4*pi*Formation Constant T given Change in Drawdown*Total Drawdown in Well)/Discharge. This formula also uses Archimedes' constant .
What are the other ways to Calculate Well Function of u?
Here are the different ways to Calculate Well Function of u-
  • Well Function of u=Chow's Function*2.303OpenImg
  • Well Function of u=(2.303*Chow's Function)/exp(Well Function Constant)OpenImg
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