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Equation for pumping rate of transmissivity from time drawdown graphs Formula

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The Pumping Rate is referred as volume of water (or other fluid) that is pumped per unit of time. It’s typically measured in units like liters per second (L/s) or cubic meters per hour (m³/h). Check FAQs

q = \frac{τ \cdot 4 \cdot π \cdot Δs D}{2.3}

q - Pumping Rate?τ - Transmissivity?Δs_D - Drawdown Across Log Cycle?π - Archimedes' constant?

Equation for pumping rate of transmissivity from time drawdown graphs Example

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Here is how the Equation for pumping rate of transmissivity from time drawdown graphs equation looks like with Values.

Here is how the Equation for pumping rate of transmissivity from time drawdown graphs equation looks like with Units.

Here is how the Equation for pumping rate of transmissivity from time drawdown graphs equation looks like.

1.7822 = \frac{1.4 \cdot 4 \cdot 3.1416 \cdot 0.233}{2.3}

1.7822m³/s = \frac{1.4m²/s \cdot 4 \cdot 3.1416 \cdot 0.233}{2.3}

1.7822 = \frac{1.4 \cdot 4 \cdot 3.1416 \cdot 0.233}{2.3}

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Equation for pumping rate of transmissivity from time drawdown graphs Solution

Follow our step by step solution on how to calculate Equation for pumping rate of transmissivity from time drawdown graphs?

FIRST Step Consider the formula

q = \frac{τ \cdot 4 \cdot π \cdot Δs D}{2.3}

Next Step Substitute values of Variables

∴

q = \frac{1.4m²/s \cdot 4 \cdot π \cdot 0.233}{2.3}

Next Step Substitute values of Constants

∴

q = \frac{1.4m²/s \cdot 4 \cdot 3.1416 \cdot 0.233}{2.3}

Next Step Prepare to Evaluate

∴

q = \frac{1.4 \cdot 4 \cdot 3.1416 \cdot 0.233}{2.3}

Next Step Evaluate

∴

q = 1.78223917147998m³/s

LAST Step Rounding Answer

∴

q = 1.7822m³/s

Equation for pumping rate of transmissivity from time drawdown graphs Formula Elements

Variables

Constants

Pumping Rate

The Pumping Rate is referred as volume of water (or other fluid) that is pumped per unit of time. It’s typically measured in units like liters per second (L/s) or cubic meters per hour (m³/h).

Symbol: q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Pumping Rate

Transmissivity

The Transmissivity refers to the measure of how much water can be transmitted horizontally through an aquifer is the product of the hydraulic conductivity of the aquifer and its saturated thickness.

Symbol: τ

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Transmissivity

Drawdown Across Log Cycle

The Drawdown Across Log Cycle is referred as change in water level (or hydraulic head) in an aquifer due to pumping from a well.

Symbol: Δs_D

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Drawdown Across Log Cycle

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 in Time Drawdown Analysis category

Go Time at which Steady Shape Conditions Develop

t c = \frac{7200 \cdot r^{2} \cdot S}{τ}

Go Storage Coefficient given time at which Steady Shape conditions develops

S = τ \cdot \frac{t c}{7200} \cdot r^{2}

Go Transmissivity derived from time drawdown graphs

τ = \frac{2.3 \cdot q}{4 \cdot π \cdot Δs}

Go Equation for drawdown across one log cycle

Δs D = \frac{2.3 \cdot q}{τ \cdot 4 \cdot π}

How to Evaluate Equation for pumping rate of transmissivity from time drawdown graphs?

Equation for pumping rate of transmissivity from time drawdown graphs evaluator uses Pumping Rate = (Transmissivity*4*pi*Drawdown Across Log Cycle)/2.3 to evaluate the Pumping Rate, The Equation for pumping rate of transmissivity from time drawdown graphs is the actual (or maximum desired, if constraints are to be applied) volumetric pumping rate at the well. Pumping Rate is denoted by q symbol.

How to evaluate Equation for pumping rate of transmissivity from time drawdown graphs using this online evaluator? To use this online evaluator for Equation for pumping rate of transmissivity from time drawdown graphs, enter Transmissivity (τ) & Drawdown Across Log Cycle (Δs_D) and hit the calculate button.

FAQs on Equation for pumping rate of transmissivity from time drawdown graphs

What is the formula to find Equation for pumping rate of transmissivity from time drawdown graphs?

The formula of Equation for pumping rate of transmissivity from time drawdown graphs is expressed as Pumping Rate = (Transmissivity*4*pi*Drawdown Across Log Cycle)/2.3. Here is an example- 1.782239 = (1.4*4*pi*0.233)/2.3.

How to calculate Equation for pumping rate of transmissivity from time drawdown graphs?

With Transmissivity (τ) & Drawdown Across Log Cycle (Δs_D) we can find Equation for pumping rate of transmissivity from time drawdown graphs using the formula - Pumping Rate = (Transmissivity*4*pi*Drawdown Across Log Cycle)/2.3. This formula also uses Archimedes' constant .

Can the Equation for pumping rate of transmissivity from time drawdown graphs be negative?

Yes, the Equation for pumping rate of transmissivity from time drawdown graphs, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Equation for pumping rate of transmissivity from time drawdown graphs?

Equation for pumping rate of transmissivity from time drawdown graphs is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Equation for pumping rate of transmissivity from time drawdown graphs can be measured.

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