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Theis Equation to determine Storage Coefficient Formula

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Storage Coefficient is a dimensionless parameter that describes the ability of an aquifer to release groundwater from storage per unit decline in hydraulic head. Check FAQs

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

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

Theis Equation to determine Storage Coefficient Example

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Here is how the Theis Equation to determine Storage Coefficient equation looks like with Values.

Here is how the Theis Equation to determine Storage Coefficient equation looks like with Units.

Here is how the Theis Equation to determine Storage Coefficient equation looks like.

16.0533 = \frac{4 \cdot 11 \cdot 4 \cdot 0.81}{{2.98}^{2}}

16.0533 = \frac{4 \cdot 11m²/s \cdot 4s \cdot 0.81}{{2.98m}^{2}}

16.0533 = \frac{4 \cdot 11 \cdot 4 \cdot 0.81}{{2.98}^{2}}

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Theis Equation to determine Storage Coefficient Solution

Follow our step by step solution on how to calculate Theis Equation to determine Storage Coefficient?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S' = \frac{4 \cdot 11m²/s \cdot 4s \cdot 0.81}{{2.98m}^{2}}

Next Step Prepare to Evaluate

∴

S' = \frac{4 \cdot 11 \cdot 4 \cdot 0.81}{{2.98}^{2}}

Next Step Evaluate

∴

S' = 16.0533309310391

LAST Step Rounding Answer

∴

S' = 16.0533

Theis Equation to determine Storage Coefficient Formula Elements

Variables

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

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 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

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

Other formulas in Analysis of Aquifer Test Data category

Go Theis equation to determine transmissivity

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

Go Storage Coefficient from Theis Equation of Transmissivity

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

Go Transmissivity given Storage Coefficient from Theis Equation

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

Go Total Head

H t = z + h p

How to Evaluate Theis Equation to determine Storage Coefficient?

Theis Equation to determine Storage Coefficient evaluator uses Storage Coefficient = (4*Transmissivity*Pumping Time*Varying Dimensionless Group)/Distance from Pumping Well^2 to evaluate the Storage Coefficient, The Theis Equation to determine Storage Coefficient formula is defined as a fundamental formula in hydrogeology and engineering hydrology used to determine the storage coefficient and transmissivity of an aquifer. It is based on the principles of groundwater flow and helps in understanding and managing groundwater resources. Storage Coefficient is denoted by S' symbol.

How to evaluate Theis Equation to determine Storage Coefficient using this online evaluator? To use this online evaluator for Theis Equation to determine Storage Coefficient, enter Transmissivity (T), Pumping Time (t), Varying Dimensionless Group (u) & Distance from Pumping Well (r) and hit the calculate button.

FAQs on Theis Equation to determine Storage Coefficient

What is the formula to find Theis Equation to determine Storage Coefficient?

The formula of Theis Equation to determine Storage Coefficient is expressed as Storage Coefficient = (4*Transmissivity*Pumping Time*Varying Dimensionless Group)/Distance from Pumping Well^2. Here is an example- 16.05333 = (4*11*4*0.81)/2.98^2.

How to calculate Theis Equation to determine Storage Coefficient?

With Transmissivity (T), Pumping Time (t), Varying Dimensionless Group (u) & Distance from Pumping Well (r) we can find Theis Equation to determine Storage Coefficient using the formula - Storage Coefficient = (4*Transmissivity*Pumping Time*Varying Dimensionless Group)/Distance from Pumping Well^2.

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Theis Equation to determine Storage Coefficient Formula

Theis Equation to determine Storage Coefficient Example

Theis Equation to determine Storage Coefficient Solution

Theis Equation to determine Storage Coefficient Formula Elements

Other formulas in Analysis of Aquifer Test Data category

How to Evaluate Theis Equation to determine Storage Coefficient?

FAQs on Theis Equation to determine Storage Coefficient

Variable Name