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Initial Time given Pumping Well along with Storage Coefficient Formula

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Starting Time is the initial moment or period when an aquifer test or pumping test begins. This is crucial for understanding the response of the groundwater system to the stress imposed by the test. Check FAQs

t 0 = \frac{S \cdot r^{2}}{2.25 \cdot T}

t₀ - Starting Time?S - Storage Coefficient?r - Distance from Pumping Well?T - Transmissivity?

Initial Time given Pumping Well along with Storage Coefficient Example

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Here is how the Initial Time given Pumping Well along with Storage Coefficient equation looks like with Values.

Here is how the Initial Time given Pumping Well along with Storage Coefficient equation looks like with Units.

Here is how the Initial Time given Pumping Well along with Storage Coefficient equation looks like.

30.9091 = \frac{85 \cdot 3^{2}}{2.25 \cdot 11}

30.9091s = \frac{85 \cdot {3m}^{2}}{2.25 \cdot 11m²/s}

30.9091 = \frac{85 \cdot 3^{2}}{2.25 \cdot 11}

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Initial Time given Pumping Well along with Storage Coefficient Solution

Follow our step by step solution on how to calculate Initial Time given Pumping Well along with Storage Coefficient?

FIRST Step Consider the formula

t 0 = \frac{S \cdot r^{2}}{2.25 \cdot T}

Next Step Substitute values of Variables

∴

t 0 = \frac{85 \cdot {3m}^{2}}{2.25 \cdot 11m²/s}

Next Step Prepare to Evaluate

∴

t 0 = \frac{85 \cdot 3^{2}}{2.25 \cdot 11}

Next Step Evaluate

∴

t 0 = 30.9090909090909s

LAST Step Rounding Answer

∴

t 0 = 30.9091s

Initial Time given Pumping Well along with Storage Coefficient Formula Elements

Variables

Starting Time

Starting Time is the initial moment or period when an aquifer test or pumping test begins. This is crucial for understanding the response of the groundwater system to the stress imposed by the test.

Symbol: t₀

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Starting Time

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.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Storage Coefficient

Distance from Pumping Well

Distance from Pumping Well is the horizontal distance between a specific point in an aquifer and the location of a pumping well. It influences the behavior of groundwater flow.

Symbol: r

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance from Pumping Well

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

Other formulas in Unsteady Flow in a Confined Aquifer category

Go Drawdown

s t = (\frac{Q}{4 \cdot π \cdot T}) \cdot \ln (\frac{2.2 \cdot T \cdot t}{r^{2} \cdot S})

Go Drawdown at Time Interval 't1'

s 1 = s 2 - ((\frac{Q}{4 \cdot π \cdot T}) \cdot \ln (\frac{t 2}{t 1}))

Go Drawdown at Time Interval 't2'

s 2 = ((\frac{Q}{4 \cdot π \cdot T}) \cdot \ln (\frac{t 2}{t 1})) + s 1

Go Equation for Storage Coefficient

S = 2.25 \cdot T \cdot \frac{t 0}{r^{2}}

How to Evaluate Initial Time given Pumping Well along with Storage Coefficient?

Initial Time given Pumping Well along with Storage Coefficient evaluator uses Starting Time = (Storage Coefficient*Distance from Pumping Well^2)/(2.25*Transmissivity) to evaluate the Starting Time, The Initial Time given Pumping Well along with Storage Coefficient formula is defined as the initial moment or period when an aquifer test or pumping test begins. This is crucial for understanding the response of the groundwater system to the stress imposed by the test. Starting Time is denoted by t₀ symbol.

How to evaluate Initial Time given Pumping Well along with Storage Coefficient using this online evaluator? To use this online evaluator for Initial Time given Pumping Well along with Storage Coefficient, enter Storage Coefficient (S), Distance from Pumping Well (r) & Transmissivity (T) and hit the calculate button.

FAQs on Initial Time given Pumping Well along with Storage Coefficient

What is the formula to find Initial Time given Pumping Well along with Storage Coefficient?

The formula of Initial Time given Pumping Well along with Storage Coefficient is expressed as Starting Time = (Storage Coefficient*Distance from Pumping Well^2)/(2.25*Transmissivity). Here is an example- 30.90909 = (85*3^2)/(2.25*11).

How to calculate Initial Time given Pumping Well along with Storage Coefficient?

With Storage Coefficient (S), Distance from Pumping Well (r) & Transmissivity (T) we can find Initial Time given Pumping Well along with Storage Coefficient using the formula - Starting Time = (Storage Coefficient*Distance from Pumping Well^2)/(2.25*Transmissivity).

Can the Initial Time given Pumping Well along with Storage Coefficient be negative?

Yes, the Initial Time given Pumping Well along with Storage Coefficient, measured in Time can be negative.

Which unit is used to measure Initial Time given Pumping Well along with Storage Coefficient?

Initial Time given Pumping Well along with Storage Coefficient is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Initial Time given Pumping Well along with Storage Coefficient can be measured.

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Initial Time given Pumping Well along with Storage Coefficient Formula

Initial Time given Pumping Well along with Storage Coefficient Example

Initial Time given Pumping Well along with Storage Coefficient Solution

Initial Time given Pumping Well along with Storage Coefficient Formula Elements

Other formulas in Unsteady Flow in a Confined Aquifer category

How to Evaluate Initial Time given Pumping Well along with Storage Coefficient?

FAQs on Initial Time given Pumping Well along with Storage Coefficient

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