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Time at 1st Instance since Pumping Started given Discharge Formula

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Time of Drawdown (t1) in Wells is the total period for the difference between the pumping water level and the static (non-pumping) water level for wells. Check FAQs

t1 = \frac{t2}{10^{\frac{Δs}{\frac{2.303 \cdot Q}{4 \cdot π \cdot t seconds}}}}

t1 - Time of Drawdown (t1) in Wells?t2 - Time of Drawdown?Δs - Difference in Drawdowns?Q - Discharge?t_seconds - Time in Seconds?π - Archimedes' constant?

Time at 1st Instance since Pumping Started given Discharge Example

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Here is how the Time at 1st Instance since Pumping Started given Discharge equation looks like with Values.

Here is how the Time at 1st Instance since Pumping Started given Discharge equation looks like with Units.

Here is how the Time at 1st Instance since Pumping Started given Discharge equation looks like.

59.5843 = \frac{240}{10^{\frac{0.014}{\frac{2.303 \cdot 1.01}{4 \cdot 3.1416 \cdot 8}}}}

59.5843s = \frac{240s}{10^{\frac{0.014m}{\frac{2.303 \cdot 1.01m³/s}{4 \cdot 3.1416 \cdot 8s}}}}

59.5843 = \frac{240}{10^{\frac{0.014}{\frac{2.303 \cdot 1.01}{4 \cdot 3.1416 \cdot 8}}}}

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Time at 1st Instance since Pumping Started given Discharge Solution

Follow our step by step solution on how to calculate Time at 1st Instance since Pumping Started given Discharge?

FIRST Step Consider the formula

t1 = \frac{t2}{10^{\frac{Δs}{\frac{2.303 \cdot Q}{4 \cdot π \cdot t seconds}}}}

Next Step Substitute values of Variables

∴

t1 = \frac{240s}{10^{\frac{0.014m}{\frac{2.303 \cdot 1.01m³/s}{4 \cdot π \cdot 8s}}}}

Next Step Substitute values of Constants

∴

t1 = \frac{240s}{10^{\frac{0.014m}{\frac{2.303 \cdot 1.01m³/s}{4 \cdot 3.1416 \cdot 8s}}}}

Next Step Prepare to Evaluate

∴

t1 = \frac{240}{10^{\frac{0.014}{\frac{2.303 \cdot 1.01}{4 \cdot 3.1416 \cdot 8}}}}

Next Step Evaluate

∴

t1 = 59.5842603777022s

LAST Step Rounding Answer

∴

t1 = 59.5843s

Time at 1st Instance since Pumping Started given Discharge Formula Elements

Variables

Constants

Time of Drawdown (t1) in Wells

Time of Drawdown (t1) in Wells is the total period for the difference between the pumping water level and the static (non-pumping) water level for wells.

Symbol: t1

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time of Drawdown (t1) in Wells

Time of Drawdown

Time of Drawdown is the total period for the difference between the pumping water level and the static (non-pumping) water level.

Symbol: t2

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time of Drawdown

Difference in Drawdowns

Difference in Drawdowns between the two wells.

Symbol: Δs

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Difference in Drawdowns

Discharge

Discharge is the rate of flow of a fluid in unsteady flow.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge

Time in Seconds

Time in Seconds is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future, measured in seconds.

Symbol: t_seconds

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time in Seconds

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 of Flow category

Go Time given Formation Constant S

t days = \frac{S c}{\frac{4 \cdot u \cdot T}{{(d radial)}^{2}}}

Go Time in Days given Radial Distance

t days = \frac{S c}{\frac{2.25 \cdot T}{{(d radial)}^{2}}}

Go Time in Hours given Time at 1st and 2nd Instance since Pumping Started

t hour = \frac{2.303 \cdot Q \cdot \log ((\frac{t 2sec}{t1}), 10)}{4 \cdot π \cdot Δs}

Go Time at 2nd Instance since Pumping Started given Discharge

t2 = t1 \cdot 10^{\frac{Δs}{\frac{2.303 \cdot Q}{4 \cdot π \cdot t seconds}}}

How to Evaluate Time at 1st Instance since Pumping Started given Discharge?

Time at 1st Instance since Pumping Started given Discharge evaluator uses Time of Drawdown (t1) in Wells = Time of Drawdown/10^(Difference in Drawdowns/((2.303*Discharge)/(4*pi*Time in Seconds))) to evaluate the Time of Drawdown (t1) in Wells, Time at 1st Instance since Pumping Started given Discharge formula is defined as a measure of the time elapsed from the start of pumping to the first instance of a specific event in an unsteady flow context, providing insights into the dynamics of fluid flow and pressure changes. Time of Drawdown (t1) in Wells is denoted by t1 symbol.

How to evaluate Time at 1st Instance since Pumping Started given Discharge using this online evaluator? To use this online evaluator for Time at 1st Instance since Pumping Started given Discharge, enter Time of Drawdown (t2), Difference in Drawdowns (Δs), Discharge (Q) & Time in Seconds (t_seconds) and hit the calculate button.

FAQs on Time at 1st Instance since Pumping Started given Discharge

What is the formula to find Time at 1st Instance since Pumping Started given Discharge?

The formula of Time at 1st Instance since Pumping Started given Discharge is expressed as Time of Drawdown (t1) in Wells = Time of Drawdown/10^(Difference in Drawdowns/((2.303*Discharge)/(4*pi*Time in Seconds))). Here is an example- 59.58426 = 240/10^(0.014/((2.303*1.01)/(4*pi*8))).

How to calculate Time at 1st Instance since Pumping Started given Discharge?

With Time of Drawdown (t2), Difference in Drawdowns (Δs), Discharge (Q) & Time in Seconds (t_seconds) we can find Time at 1st Instance since Pumping Started given Discharge using the formula - Time of Drawdown (t1) in Wells = Time of Drawdown/10^(Difference in Drawdowns/((2.303*Discharge)/(4*pi*Time in Seconds))). This formula also uses Archimedes' constant .

Can the Time at 1st Instance since Pumping Started given Discharge be negative?

No, the Time at 1st Instance since Pumping Started given Discharge, measured in Time cannot be negative.

Which unit is used to measure Time at 1st Instance since Pumping Started given Discharge?

Time at 1st Instance since Pumping Started given Discharge is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time at 1st Instance since Pumping Started given Discharge can be measured.

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Time at 1st Instance since Pumping Started given Discharge Formula

Time at 1st Instance since Pumping Started given Discharge Example

Time at 1st Instance since Pumping Started given Discharge Solution

Time at 1st Instance since Pumping Started given Discharge Formula Elements

Other formulas in Time of Flow category

How to Evaluate Time at 1st Instance since Pumping Started given Discharge?

FAQs on Time at 1st Instance since Pumping Started given Discharge

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