Transmissivity given Storage Coefficient from Theis Equation Calculator

✖Storage Coefficient is a dimensionless parameter that describes the ability of an aquifer to release groundwater from storage per unit decline in hydraulic head.ⓘ Storage Coefficient [S']			+10% -10%
✖Distance from Pumping Well is the spatial separation between a pumping well and a point of interest in the aquifer or groundwater system.ⓘ Distance from Pumping Well [r]			+10% -10%
✖Pumping Time is the duration over which pumping or any hydraulic activity is occurring or has occurred in the aquifer. It represents the elapsed time since the start of pumping.ⓘ Pumping Time [t]			+10% -10%
✖Varying Dimensionless Group is dimensionless parameter or group of parameters that are used to characterize and compare physical phenomena in hydrological processes.ⓘ Varying Dimensionless Group [u]			+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 given Storage Coefficient from Theis Equation [T]

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Formula

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Transmissivity given Storage Coefficient from Theis Equation

Formula

T = \frac{S' \cdot r^{2}}{4 \cdot t \cdot u}

Example

10.99772 m²/s = \frac{16.05 \cdot {2.98 m}^{2}}{4 \cdot 4 s \cdot 0.81}

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Transmissivity given Storage Coefficient from Theis Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transmissivity = (Storage Coefficient*Distance from Pumping Well^2)/(4*Pumping Time*Varying Dimensionless Group)
T = (S'*r^2)/(4*t*u)
This formula uses 5 Variables

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.
Storage Coefficient - Storage Coefficient is a dimensionless parameter that describes the ability of an aquifer to release groundwater from storage per unit decline in hydraulic head.
Distance from Pumping Well - (Measured in Meter) - Distance from Pumping Well is the spatial separation between a pumping well and a point of interest in the aquifer or groundwater system.
Pumping Time - (Measured in Second) - Pumping Time is the duration over which pumping or any hydraulic activity is occurring or has occurred in the aquifer. It represents the elapsed time since the start of pumping.
Varying Dimensionless Group - Varying Dimensionless Group is dimensionless parameter or group of parameters that are used to characterize and compare physical phenomena in hydrological processes.

STEP 1: Convert Input(s) to Base Unit

Storage Coefficient: 16.05 --> No Conversion Required
Distance from Pumping Well: 2.98 Meter --> 2.98 Meter No Conversion Required
Pumping Time: 4 Second --> 4 Second No Conversion Required
Varying Dimensionless Group: 0.81 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (S'*r^2)/(4*t*u) --> (16.05*2.98^2)/(4*4*0.81)

Evaluating ... ...

T = 10.9977175925926

STEP 3: Convert Result to Output's Unit

10.9977175925926 Square Meter per Second --> No Conversion Required

FINAL ANSWER

10.9977175925926 ≈ 10.99772 Square Meter per Second <-- Transmissivity

(Calculation completed in 00.004 seconds)

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< Analysis of Aquifer Test Data Calculators

Transmissivity given Storage Coefficient from Theis Equation

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

Theis Equation to determine Storage Coefficient

Go Storage Coefficient = (4*Transmissivity*Pumping 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))

Transmissivity given Storage Coefficient from Theis Equation Formula

Transmissivity = (Storage Coefficient*Distance from Pumping Well^2)/(4*Pumping Time*Varying Dimensionless Group)
T = (S'*r^2)/(4*t*u)

What Theis equation?

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

How to Calculate Transmissivity given Storage Coefficient from Theis Equation?

Transmissivity given Storage Coefficient from Theis Equation calculator uses Transmissivity = (Storage Coefficient*Distance from Pumping Well^2)/(4*Pumping Time*Varying Dimensionless Group) to calculate the Transmissivity, The Transmissivity given Storage Coefficient from Theis Equation formula is defined as the rate at which groundwater flows horizontally through an aquifer. Understanding the transmissivity of an aquifer is essential for predicting the movement of contaminants. Higher transmissivity indicates that contaminants can spread more quickly and over greater distances, influencing remediation strategies and risk assessments. Transmissivity is denoted by T symbol.

How to calculate Transmissivity given Storage Coefficient from Theis Equation using this online calculator? To use this online calculator for Transmissivity given Storage Coefficient from Theis Equation, enter Storage Coefficient (S'), Distance from Pumping Well (r), Pumping Time (t) & Varying Dimensionless Group (u) and hit the calculate button. Here is how the Transmissivity given Storage Coefficient from Theis Equation calculation can be explained with given input values -> 10.99772 = (16.05*2.98^2)/(4*4*0.81).

FAQ

What is Transmissivity given Storage Coefficient from Theis Equation?

The Transmissivity given Storage Coefficient from Theis Equation formula is defined as the rate at which groundwater flows horizontally through an aquifer. Understanding the transmissivity of an aquifer is essential for predicting the movement of contaminants. Higher transmissivity indicates that contaminants can spread more quickly and over greater distances, influencing remediation strategies and risk assessments and is represented as T = (S'*r^2)/(4*t*u) or Transmissivity = (Storage Coefficient*Distance from Pumping Well^2)/(4*Pumping Time*Varying Dimensionless Group). Storage Coefficient is a dimensionless parameter that describes the ability of an aquifer to release groundwater from storage per unit decline in hydraulic head, Distance from Pumping Well is the spatial separation between a pumping well and a point of interest in the aquifer or groundwater system, Pumping Time is the duration over which pumping or any hydraulic activity is occurring or has occurred in the aquifer. It represents the elapsed time since the start of pumping & Varying Dimensionless Group is dimensionless parameter or group of parameters that are used to characterize and compare physical phenomena in hydrological processes.

How to calculate Transmissivity given Storage Coefficient from Theis Equation?

The Transmissivity given Storage Coefficient from Theis Equation formula is defined as the rate at which groundwater flows horizontally through an aquifer. Understanding the transmissivity of an aquifer is essential for predicting the movement of contaminants. Higher transmissivity indicates that contaminants can spread more quickly and over greater distances, influencing remediation strategies and risk assessments is calculated using Transmissivity = (Storage Coefficient*Distance from Pumping Well^2)/(4*Pumping Time*Varying Dimensionless Group). To calculate Transmissivity given Storage Coefficient from Theis Equation, you need Storage Coefficient (S'), Distance from Pumping Well (r), Pumping Time (t) & Varying Dimensionless Group (u). With our tool, you need to enter the respective value for Storage Coefficient, Distance from Pumping Well, Pumping Time & Varying Dimensionless Group 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 Storage Coefficient, Distance from Pumping Well, Pumping Time & Varying Dimensionless Group. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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