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Theis equation to determine transmissivity Formula

GoTransmissivity given Storage Coefficient from Theis Equation 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{Q \cdot W u}{4 \cdot π \cdot S}

T - Transmissivity?Q - Pumping Rate?W_u - Well Function of U?S - Storage Coefficient (Theis Equation)?π - Archimedes' constant?

Theis equation to determine transmissivity Example

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Here is how the Theis equation to determine transmissivity equation looks like with Values.

Here is how the Theis equation to determine transmissivity equation looks like with Units.

Here is how the Theis equation to determine transmissivity equation looks like.

11.0305 = \frac{7 \cdot 2}{4 \cdot 3.1416 \cdot 0.101}

11.0305m²/s = \frac{7m³/s \cdot 2}{4 \cdot 3.1416 \cdot 0.101}

11.0305 = \frac{7 \cdot 2}{4 \cdot 3.1416 \cdot 0.101}

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Theis equation to determine transmissivity Solution

Follow our step by step solution on how to calculate Theis equation to determine transmissivity?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T = \frac{7m³/s \cdot 2}{4 \cdot π \cdot 0.101}

Next Step Substitute values of Constants

∴

T = \frac{7m³/s \cdot 2}{4 \cdot 3.1416 \cdot 0.101}

Next Step Prepare to Evaluate

∴

T = \frac{7 \cdot 2}{4 \cdot 3.1416 \cdot 0.101}

Next Step Evaluate

∴

T = 11.0305406103294m²/s

LAST Step Rounding Answer

∴

T = 11.0305m²/s

Theis equation to determine transmissivity Formula Elements

Variables

Constants

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

Pumping Rate

Pumping Rate is the rate at which groundwater is extracted from an aquifer or a well. It is crucial for managing water resources, especially in areas where groundwater is a major source of irrigation.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Pumping Rate

Well Function of U

Well Function of U is the Theis well function. It 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: W_u

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Well Function of 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.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Storage Coefficient (Theis Equation)

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 Transmissivity

Go Transmissivity given Storage Coefficient from Theis Equation

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

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 Theis equation to determine transmissivity?

Theis equation to determine transmissivity evaluator uses Transmissivity = (Pumping Rate*Well Function of U)/(4*pi*Storage Coefficient (Theis Equation)) to evaluate the Transmissivity, The Theis Equation to determine Transmissivity is defined as fundamental for determining the transmissivity of an aquifer. Transmissivity is a key hydraulic property representing the ability of an aquifer to transmit water through its entire saturated thickness. Transmissivity is denoted by T symbol.

How to evaluate Theis equation to determine transmissivity using this online evaluator? To use this online evaluator 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.

FAQs on Theis equation to determine transmissivity

What is the formula to find Theis equation to determine transmissivity?

The formula of Theis equation to determine transmissivity is expressed as Transmissivity = (Pumping Rate*Well Function of U)/(4*pi*Storage Coefficient (Theis Equation)). Here is an example- 11.03054 = (7*2)/(4*pi*0.101).

How to calculate Theis equation to determine transmissivity?

With Pumping Rate (Q), Well Function of U (W_u) & Storage Coefficient (Theis Equation) (S) we can find Theis equation to determine transmissivity using the formula - Transmissivity = (Pumping Rate*Well Function of U)/(4*pi*Storage Coefficient (Theis Equation)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Transmissivity?

Here are the different ways to Calculate Transmissivity-

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

Can the Theis equation to determine transmissivity be negative?

Yes, the Theis equation to determine transmissivity, measured in Kinematic Viscosity can be negative.

Which unit is used to measure Theis equation to determine transmissivity?

Theis equation to determine transmissivity 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 Theis equation to determine transmissivity can be measured.

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Theis equation to determine transmissivity Formula

​GoTransmissivity given Storage Coefficient from Theis Equation Formula

Theis equation to determine transmissivity Example

Theis equation to determine transmissivity Solution

Theis equation to determine transmissivity Formula Elements

Other Formulas to find Transmissivity

Other formulas in Analysis of Aquifer Test Data category

How to Evaluate Theis equation to determine transmissivity?

FAQs on Theis equation to determine transmissivity

Variable Name

GoTransmissivity given Storage Coefficient from Theis Equation Formula