Equation for varying dimensionless group in Theis equation Calculator

✖Distance from Pumping Well to the point where drawdown occurs.ⓘ Distance from Pumping Well [r]			+10% -10%
✖Storage Coefficient is the volume of water released from storage per unit decline in hydraulic head in the aquifer, per unit area of the aquifer.ⓘ Storage Coefficient [S]			+10% -10%
✖Transmissivity is the rate at which groundwater flows horizontally through an aquifer or the degree to which a medium allows something, in particular electromagnetic radiation, to pass through it.ⓘ Transmissivity [T]			+10% -10%
✖Time can be defined as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.ⓘ Time [t]			+10% -10%

✖Varying Dimensionless Group that varies with both the position of the observation well and the time.ⓘ Equation for varying dimensionless group in Theis equation [u]

⎘ Copy

👎

Formula

✖

Equation for varying dimensionless group in Theis equation

Formula

`"u" = ("r"^2*"S")/(4*"T"*"t")`

Example

`"4.346591"=(("3m")^2*"85")/(4*"11m²/s"*"4h")`

Calculator

LaTeX

Reset

👍

Download Engineering Hydrology Formula PDF

Equation for varying dimensionless group in Theis equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Varying Dimensionless Group = (Distance from Pumping Well^2*Storage Coefficient)/(4*Transmissivity*Time)
u = (r^2*S)/(4*T*t)
This formula uses 5 Variables

Variables Used

Varying Dimensionless Group - Varying Dimensionless Group that varies with both the position of the observation well and the time.
Distance from Pumping Well - (Measured in Meter) - Distance from Pumping Well to the point where drawdown occurs.
Storage Coefficient - Storage Coefficient is the volume of water released from storage per unit decline in hydraulic head in the aquifer, per unit area of the aquifer.
Transmissivity - (Measured in Square Meter per Second) - Transmissivity is the rate at which groundwater flows horizontally through an aquifer or the degree to which a medium allows something, in particular electromagnetic radiation, to pass through it.
Time - (Measured in Hour) - Time can be defined as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.

STEP 1: Convert Input(s) to Base Unit

Distance from Pumping Well: 3 Meter --> 3 Meter No Conversion Required
Storage Coefficient: 85 --> No Conversion Required
Transmissivity: 11 Square Meter per Second --> 11 Square Meter per Second No Conversion Required
Time: 4 Hour --> 4 Hour No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u = (r^2*S)/(4*T*t) --> (3^2*85)/(4*11*4)

Evaluating ... ...

u = 4.34659090909091

STEP 3: Convert Result to Output's Unit

4.34659090909091 --> No Conversion Required

FINAL ANSWER

4.34659090909091 ≈ 4.346591 <-- Varying Dimensionless Group

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Engineering Hydrology » Groundwater Hydrology » Saltwater Encroachment » Equation for varying dimensionless group in Theis equation

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 3 Saltwater Encroachment Calculators

Ghyben Herzberg relationship for Depth of Freshwater below Sea Level

Go Depth of Freshwater below Sea Level = Density of Fresh Water*Height of the water table above sea level/(Density of Seawater-Density of Fresh Water)

Height of water table above sea level

Go Height of the water table above sea level = (Density of Seawater-Density of Fresh Water)*Depth of Freshwater below Sea Level/Density of Fresh Water

Equation for varying dimensionless group in Theis equation

Go Varying Dimensionless Group = (Distance from Pumping Well^2*Storage Coefficient)/(4*Transmissivity*Time)

Equation for varying dimensionless group in Theis equation Formula

Varying Dimensionless Group = (Distance from Pumping Well^2*Storage Coefficient)/(4*Transmissivity*Time)
u = (r^2*S)/(4*T*t)

What is Theis equation?

Theis equation describes radial confined groundwater flow in a uniformly thick horizontal, homogeneous, isotropic aquifer of infinite areal extent.

What are aquifer tests used for?

Aquifer tests are conducted to determine the hydraulic properties of an aquifer system such as hydraulic conductivity, transmissivity, and storativity. These properties are useful in determining fate and transport of contaminant plumes and in designing effective groundwater remediation systems.

How to Calculate Equation for varying dimensionless group in Theis equation?

Equation for varying dimensionless group in Theis equation calculator uses Varying Dimensionless Group = (Distance from Pumping Well^2*Storage Coefficient)/(4*Transmissivity*Time) to calculate the Varying Dimensionless Group, The Equation for varying dimensionless group in Theis equation where a data plot of drawdown versus time (or drawdown versus t/rz) is matched to the type curve of W(u) versus 1/u to solve the Graphical Method. Varying Dimensionless Group is denoted by u symbol.

How to calculate Equation for varying dimensionless group in Theis equation using this online calculator? To use this online calculator for Equation for varying dimensionless group in Theis equation, enter Distance from Pumping Well (r), Storage Coefficient (S), Transmissivity (T) & Time (t) and hit the calculate button. Here is how the Equation for varying dimensionless group in Theis equation calculation can be explained with given input values -> 4.346591 = (3^2*85)/(4*11*14400).

FAQ

What is Equation for varying dimensionless group in Theis equation?

The Equation for varying dimensionless group in Theis equation where a data plot of drawdown versus time (or drawdown versus t/rz) is matched to the type curve of W(u) versus 1/u to solve the Graphical Method and is represented as u = (r^2*S)/(4*T*t) or Varying Dimensionless Group = (Distance from Pumping Well^2*Storage Coefficient)/(4*Transmissivity*Time). Distance from Pumping Well to the point where drawdown occurs, Storage Coefficient is the volume of water released from storage per unit decline in hydraulic head in the aquifer, per unit area of the aquifer, Transmissivity is the rate at which groundwater flows horizontally through an aquifer or the degree to which a medium allows something, in particular electromagnetic radiation, to pass through it & Time can be defined as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.

How to calculate Equation for varying dimensionless group in Theis equation?

The Equation for varying dimensionless group in Theis equation where a data plot of drawdown versus time (or drawdown versus t/rz) is matched to the type curve of W(u) versus 1/u to solve the Graphical Method is calculated using Varying Dimensionless Group = (Distance from Pumping Well^2*Storage Coefficient)/(4*Transmissivity*Time). To calculate Equation for varying dimensionless group in Theis equation, you need Distance from Pumping Well (r), Storage Coefficient (S), Transmissivity (T) & Time (t). With our tool, you need to enter the respective value for Distance from Pumping Well, Storage Coefficient, Transmissivity & Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search