Theis Equation to determine Storage Coefficient Calculator

✖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 [T]			+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%
✖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%

✖Storage Coefficient is a dimensionless parameter that describes the ability of an aquifer to release groundwater from storage per unit decline in hydraulic head.ⓘ Theis Equation to determine Storage Coefficient [S']

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Formula

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Theis Equation to determine Storage Coefficient

Formula

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

Example

16.05333 = \frac{4 \cdot 11 m²/s \cdot 4 s \cdot 0.81}{{2.98 m}^{2}}

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Theis Equation to determine Storage Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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 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.
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.

STEP 1: Convert Input(s) to Base Unit

Transmissivity: 11 Square Meter per Second --> 11 Square Meter per Second No Conversion Required
Pumping Time: 4 Second --> 4 Second No Conversion Required
Varying Dimensionless Group: 0.81 --> No Conversion Required
Distance from Pumping Well: 2.98 Meter --> 2.98 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S' = (4*T*t*u)/r^2 --> (4*11*4*0.81)/2.98^2

Evaluating ... ...

S' = 16.0533309310391

STEP 3: Convert Result to Output's Unit

16.0533309310391 --> No Conversion Required

FINAL ANSWER

16.0533309310391 ≈ 16.05333 <-- Storage Coefficient

(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))

Theis Equation to determine Storage Coefficient Formula

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

What is Storage Coefficient ?

Storage Coefficient 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 Storage Coefficient?

Theis Equation to determine Storage Coefficient calculator uses Storage Coefficient = (4*Transmissivity*Pumping Time*Varying Dimensionless Group)/Distance from Pumping Well^2 to calculate 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 calculate Theis Equation to determine Storage Coefficient using this online calculator? To use this online calculator 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. Here is how the Theis Equation to determine Storage Coefficient calculation can be explained with given input values -> 16.05333 = (4*11*4*0.81)/2.98^2.

FAQ

What is Theis Equation to determine 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 and is represented as S' = (4*T*t*u)/r^2 or Storage Coefficient = (4*Transmissivity*Pumping Time*Varying Dimensionless Group)/Distance from Pumping Well^2. 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 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 & Distance from Pumping Well is the spatial separation between a pumping well and a point of interest in the aquifer or groundwater system.

How to calculate Theis Equation to determine 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 is calculated using Storage Coefficient = (4*Transmissivity*Pumping Time*Varying Dimensionless Group)/Distance from Pumping Well^2. To calculate Theis Equation to determine Storage Coefficient, you need Transmissivity (T), Pumping Time (t), Varying Dimensionless Group (u) & Distance from Pumping Well (r). With our tool, you need to enter the respective value for Transmissivity, Pumping Time, Varying Dimensionless Group & Distance from Pumping Well and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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