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First Estimate of Pumping Rate Formula

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The First Estimate of the Pumping Rate refers to the preliminary calculation used to determine the amount of water that can be pumped from a well. Check FAQs

Q e = 2.7 \cdot T \cdot Δs

Q_e - First Estimate of the Pumping Rate?T - Transmissivity?Δs - Drawdown Across One Log Cycle?

First Estimate of Pumping Rate Example

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Here is how the First Estimate of Pumping Rate equation looks like with Values.

Here is how the First Estimate of Pumping Rate equation looks like with Units.

Here is how the First Estimate of Pumping Rate equation looks like.

1323.135 = 2.7 \cdot 11 \cdot 44.55

1323.135m³/s = 2.7 \cdot 11m²/s \cdot 44.55

1323.135 = 2.7 \cdot 11 \cdot 44.55

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First Estimate of Pumping Rate Solution

Follow our step by step solution on how to calculate First Estimate of Pumping Rate?

FIRST Step Consider the formula

Q e = 2.7 \cdot T \cdot Δs

Next Step Substitute values of Variables

∴

Q e = 2.7 \cdot 11m²/s \cdot 44.55

Next Step Prepare to Evaluate

∴

Q e = 2.7 \cdot 11 \cdot 44.55

LAST Step Evaluate

∴

Q e = 1323.135m³/s

First Estimate of Pumping Rate Formula Elements

Variables

First Estimate of the Pumping Rate

The First Estimate of the Pumping Rate refers to the preliminary calculation used to determine the amount of water that can be pumped from a well.

Symbol: Q_e

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find First Estimate of the Pumping Rate

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

Drawdown Across One Log Cycle

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

Symbol: Δs

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Drawdown Across One Log Cycle

Other formulas in Well Field Design category

Go Distance from Pumping Well

r o = \sqrt{2.25 \cdot T \cdot \frac{t}{S}}

Go Storage Coefficient given Distance from Pumping Well

S = \frac{2.25 \cdot T \cdot t}{{r o}^{2}}

Go Transmissivity given Distance from Pumping Well

T = {r o}^{2} \cdot \frac{S}{2.25 \cdot t}

Go Transmissivity for First Estimate of Pumping Rate

T = \frac{Q e}{2.7 \cdot Δs}

How to Evaluate First Estimate of Pumping Rate?

First Estimate of Pumping Rate evaluator uses First Estimate of the Pumping Rate = 2.7*Transmissivity*Drawdown Across One Log Cycle to evaluate the First Estimate of the Pumping Rate, The First Estimate of Pumping Rate formula is defined as the estimate to provide sufficient pressure to overcome the operating pressure of the system to move fluid at a required flow rate. First Estimate of the Pumping Rate is denoted by Q_e symbol.

How to evaluate First Estimate of Pumping Rate using this online evaluator? To use this online evaluator for First Estimate of Pumping Rate, enter Transmissivity (T) & Drawdown Across One Log Cycle (Δs) and hit the calculate button.

FAQs on First Estimate of Pumping Rate

What is the formula to find First Estimate of Pumping Rate?

The formula of First Estimate of Pumping Rate is expressed as First Estimate of the Pumping Rate = 2.7*Transmissivity*Drawdown Across One Log Cycle. Here is an example- 1323.135 = 2.7*11*44.55.

How to calculate First Estimate of Pumping Rate?

With Transmissivity (T) & Drawdown Across One Log Cycle (Δs) we can find First Estimate of Pumping Rate using the formula - First Estimate of the Pumping Rate = 2.7*Transmissivity*Drawdown Across One Log Cycle.

Can the First Estimate of Pumping Rate be negative?

No, the First Estimate of Pumping Rate, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure First Estimate of Pumping Rate?

First Estimate of Pumping Rate 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 First Estimate of Pumping Rate can be measured.

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