Theis equation to determine transmissivity Calculator

✖Pumping Rate is the actual volumetric pumping rate.ⓘ Pumping Rate [Q]			+10% -10%
✖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.ⓘ Well Function of u [W_u]			+10% -10%
✖Storage Coefficient (Theis Equation) 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 (Theis Equation) [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.ⓘ Theis equation to determine transmissivity [T]

⎘ Copy

👎

Formula

✖

Theis equation to determine transmissivity

Formula

`"T" = ("Q"*"W"_{"u"})/(4*pi*"S")`

Example

`"11.03054m²/s"=("7m³/s"*"2")/(4*pi*"0.101")`

Calculator

LaTeX

Reset

👍

Download Engineering Hydrology Formula PDF PDF Image

Theis equation to determine transmissivity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transmissivity = (Pumping Rate*Well Function of u)/(4*pi*Storage Coefficient (Theis Equation))
T = (Q*W_u)/(4*pi*S)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Pumping Rate - (Measured in Cubic Meter per Second) - Pumping Rate is the actual volumetric pumping rate.
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.
Storage Coefficient (Theis Equation) - Storage Coefficient (Theis Equation) is the volume of water released from storage per unit decline in hydraulic head in the aquifer, per unit area of the aquifer.

STEP 1: Convert Input(s) to Base Unit

Pumping Rate: 7 Cubic Meter per Second --> 7 Cubic Meter per Second No Conversion Required
Well Function of u: 2 --> No Conversion Required
Storage Coefficient (Theis Equation): 0.101 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (Q*W_u)/(4*pi*S) --> (7*2)/(4*pi*0.101)

Evaluating ... ...

T = 11.0305406103294

STEP 3: Convert Result to Output's Unit

11.0305406103294 Square Meter per Second --> No Conversion Required

FINAL ANSWER

11.0305406103294 ≈ 11.03054 Square Meter per Second <-- Transmissivity

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Engineering Hydrology » Groundwater Hydrology » Analysis of Aquifer-Test Data » Theis equation to determine transmissivity

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!

< 4 Analysis of Aquifer-Test Data Calculators

Transmissivity given Storage Coefficient from Theis Equation

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

Theis equation to determine storage coefficient

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

Storage Coefficient from Theis Equation of Transmissivity

Go Storage Coefficient (Theis Equation) = (Pumping Rate*Well Function of u)/(Transmissivity*4*pi)

Theis equation to determine transmissivity

Go Transmissivity = (Pumping Rate*Well Function of u)/(4*pi*Storage Coefficient (Theis Equation))

Theis equation to determine transmissivity Formula

Transmissivity = (Pumping Rate*Well Function of u)/(4*pi*Storage Coefficient (Theis Equation))
T = (Q*W_u)/(4*pi*S)

What is Transmissivity?

Transmissivity is the rate at which groundwater flows horizontally through an aquifer. Transmittance, the effectiveness of transmitting radiant energy though a volume.

How to Calculate Theis equation to determine transmissivity?

Theis equation to determine transmissivity calculator uses Transmissivity = (Pumping Rate*Well Function of u)/(4*pi*Storage Coefficient (Theis Equation)) to calculate the Transmissivity, Theis equation to determine transmissivity describes radial confined groundwater flow in a uniformly thick horizontal, homogeneous, isotropic aquifer of infinite areal extent. Transmissivity is denoted by T symbol.

How to calculate Theis equation to determine transmissivity using this online calculator? To use this online calculator for Theis equation to determine transmissivity, enter Pumping Rate (Q), Well Function of u (W_u) & Storage Coefficient (Theis Equation) (S) and hit the calculate button. Here is how the Theis equation to determine transmissivity calculation can be explained with given input values -> 11.03054 = (7*2)/(4*pi*0.101).

FAQ

What is Theis equation to determine transmissivity?

Theis equation to determine transmissivity describes radial confined groundwater flow in a uniformly thick horizontal, homogeneous, isotropic aquifer of infinite areal extent and is represented as T = (Q*W_u)/(4*pi*S) or Transmissivity = (Pumping Rate*Well Function of u)/(4*pi*Storage Coefficient (Theis Equation)). Pumping Rate is the actual volumetric pumping rate, 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 & Storage Coefficient (Theis Equation) is the volume of water released from storage per unit decline in hydraulic head in the aquifer, per unit area of the aquifer.

How to calculate Theis equation to determine transmissivity?

Theis equation to determine transmissivity describes radial confined groundwater flow in a uniformly thick horizontal, homogeneous, isotropic aquifer of infinite areal extent is calculated using Transmissivity = (Pumping Rate*Well Function of u)/(4*pi*Storage Coefficient (Theis Equation)). To calculate Theis equation to determine transmissivity, you need Pumping Rate (Q), Well Function of u (W_u) & Storage Coefficient (Theis Equation) (S). With our tool, you need to enter the respective value for Pumping Rate, Well Function of u & Storage Coefficient (Theis Equation) 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 Transmissivity?

In this formula, Transmissivity uses Pumping Rate, Well Function of u & Storage Coefficient (Theis Equation). We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search