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Transmissivity given Storage Coefficient from Theis Equation Formula

GoTheis equation to determine transmissivity Formula

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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. Check FAQs

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

T - Transmissivity?S' - Storage Coefficient?r - Distance from Pumping Well?t - Pumping Time?u - Varying Dimensionless Group?

Transmissivity given Storage Coefficient from Theis Equation Example

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Here is how the Transmissivity given Storage Coefficient from Theis Equation equation looks like with Values.

Here is how the Transmissivity given Storage Coefficient from Theis Equation equation looks like with Units.

Here is how the Transmissivity given Storage Coefficient from Theis Equation equation looks like.

10.9977 = \frac{16.05 \cdot {2.98}^{2}}{4 \cdot 4 \cdot 0.81}

10.9977m²/s = \frac{16.05 \cdot {2.98m}^{2}}{4 \cdot 4s \cdot 0.81}

10.9977 = \frac{16.05 \cdot {2.98}^{2}}{4 \cdot 4 \cdot 0.81}

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Transmissivity given Storage Coefficient from Theis Equation Solution

Follow our step by step solution on how to calculate Transmissivity given Storage Coefficient from Theis Equation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T = \frac{16.05 \cdot {2.98m}^{2}}{4 \cdot 4s \cdot 0.81}

Next Step Prepare to Evaluate

∴

T = \frac{16.05 \cdot {2.98}^{2}}{4 \cdot 4 \cdot 0.81}

Next Step Evaluate

∴

T = 10.9977175925926m²/s

LAST Step Rounding Answer

∴

T = 10.9977m²/s

Transmissivity given Storage Coefficient from Theis Equation Formula Elements

Variables

Transmissivity

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.

Symbol: T

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Transmissivity

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.

Symbol: S'

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Storage Coefficient

Distance from Pumping Well

Distance from Pumping Well is the spatial separation between a pumping well and a point of interest in the aquifer or groundwater system.

Symbol: r

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance from Pumping Well

Pumping Time

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.

Symbol: t

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Pumping Time

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.

Symbol: u

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Varying Dimensionless Group

Other Formulas to find Transmissivity

Go Theis equation to determine transmissivity

T = \frac{Q \cdot W u}{4 \cdot π \cdot S}

Other formulas in Analysis of Aquifer Test Data category

Go Theis Equation to determine Storage Coefficient

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

Go Storage Coefficient from Theis Equation of Transmissivity

S = \frac{Q \cdot W u}{T \cdot 4 \cdot π}

Go Total Head

H t = z + h p

Go Pressure Head for given Total Head

h p = H t - z

How to Evaluate Transmissivity given Storage Coefficient from Theis Equation?

Transmissivity given Storage Coefficient from Theis Equation evaluator uses Transmissivity = (Storage Coefficient*Distance from Pumping Well^2)/(4*Pumping Time*Varying Dimensionless Group) to evaluate 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 evaluate Transmissivity given Storage Coefficient from Theis Equation using this online evaluator? To use this online evaluator 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.

FAQs on Transmissivity given Storage Coefficient from Theis Equation

What is the formula to find Transmissivity given Storage Coefficient from Theis Equation?

The formula of Transmissivity given Storage Coefficient from Theis Equation is expressed as Transmissivity = (Storage Coefficient*Distance from Pumping Well^2)/(4*Pumping Time*Varying Dimensionless Group). Here is an example- 10.99772 = (16.05*2.98^2)/(4*4*0.81).

How to calculate Transmissivity given Storage Coefficient from Theis Equation?

With Storage Coefficient (S'), Distance from Pumping Well (r), Pumping Time (t) & Varying Dimensionless Group (u) we can find Transmissivity given Storage Coefficient from Theis Equation using the formula - Transmissivity = (Storage Coefficient*Distance from Pumping Well^2)/(4*Pumping Time*Varying Dimensionless Group).

What are the other ways to Calculate Transmissivity?

Here are the different ways to Calculate Transmissivity-

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

Can the Transmissivity given Storage Coefficient from Theis Equation be negative?

Yes, the Transmissivity given Storage Coefficient from Theis Equation, measured in Kinematic Viscosity can be negative.

Which unit is used to measure Transmissivity given Storage Coefficient from Theis Equation?

Transmissivity given Storage Coefficient from Theis Equation is usually measured using the Square Meter per Second[m²/s] for Kinematic Viscosity. Square Meter per Hour[m²/s], Square Centimeter per Second[m²/s], Square Millimeter per Second[m²/s] are the few other units in which Transmissivity given Storage Coefficient from Theis Equation can be measured.

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Transmissivity given Storage Coefficient from Theis Equation Formula

​GoTheis equation to determine transmissivity Formula

Transmissivity given Storage Coefficient from Theis Equation Example

Transmissivity given Storage Coefficient from Theis Equation Solution

Transmissivity given Storage Coefficient from Theis Equation Formula Elements

Other Formulas to find Transmissivity

Other formulas in Analysis of Aquifer Test Data category

How to Evaluate Transmissivity given Storage Coefficient from Theis Equation?

FAQs on Transmissivity given Storage Coefficient from Theis Equation

Variable Name

GoTheis equation to determine transmissivity Formula