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Equation for Residual Drawdown for small values of Distance and large values of Time Formula

GoEquation for Residual Drawdown Formula

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Residual Drawdown is the change in groundwater level due to an applied stress after the cessation of the pumping. Check FAQs

s' = (2.302 \cdot \frac{Q}{4} \cdot π \cdot T) \cdot \log 10 (\frac{t}{t'})

s' - Residual Drawdown?Q - Discharge?T - Transmissibility?t - Time from start of pump?t' - Time since Stoppage of Pumping?π - Archimedes' constant?

Equation for Residual Drawdown for small values of Distance and large values of Time Example

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Here is how the Equation for Residual Drawdown for small values of Distance and large values of Time equation looks like with Values.

Here is how the Equation for Residual Drawdown for small values of Distance and large values of Time equation looks like with Units.

Here is how the Equation for Residual Drawdown for small values of Distance and large values of Time equation looks like.

13.2691 = (2.302 \cdot \frac{3}{4} \cdot 3.1416 \cdot 3.5) \cdot \log 10 (\frac{50}{10})

13.2691 = (2.302 \cdot \frac{3m³/s}{4} \cdot 3.1416 \cdot 3.5m²/s) \cdot \log 10 (\frac{50min}{10min})

13.2691 = (2.302 \cdot \frac{3}{4} \cdot 3.1416 \cdot 3.5) \cdot \log 10 (\frac{50}{10})

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Equation for Residual Drawdown for small values of Distance and large values of Time Solution

Follow our step by step solution on how to calculate Equation for Residual Drawdown for small values of Distance and large values of Time?

FIRST Step Consider the formula

s' = (2.302 \cdot \frac{Q}{4} \cdot π \cdot T) \cdot \log 10 (\frac{t}{t'})

Next Step Substitute values of Variables

∴

s' = (2.302 \cdot \frac{3m³/s}{4} \cdot π \cdot 3.5m²/s) \cdot \log 10 (\frac{50min}{10min})

Next Step Substitute values of Constants

∴

s' = (2.302 \cdot \frac{3m³/s}{4} \cdot 3.1416 \cdot 3.5m²/s) \cdot \log 10 (\frac{50min}{10min})

Next Step Convert Units

∴

s' = (2.302 \cdot \frac{3m³/s}{4} \cdot 3.1416 \cdot 3.5m²/s) \cdot \log 10 (\frac{3000s}{600s})

Next Step Prepare to Evaluate

∴

s' = (2.302 \cdot \frac{3}{4} \cdot 3.1416 \cdot 3.5) \cdot \log 10 (\frac{3000}{600})

Next Step Evaluate

∴

s' = 13.2691480127725

LAST Step Rounding Answer

∴

s' = 13.2691

Equation for Residual Drawdown for small values of Distance and large values of Time Formula Elements

Variables

Constants

Functions

Residual Drawdown

Residual Drawdown is the change in groundwater level due to an applied stress after the cessation of the pumping.

Symbol: s'

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Residual Drawdown

Discharge

The Discharge refers to the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge

Transmissibility

Transmissibility is most simply defined as the effective hydraulic conductivity of an aquifer or other water-bearing unit multiplied by the thickness of that unit.

Symbol: T

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Transmissibility

Time from start of pump

The time from start of pump is the pumping started at the instant when the groundwater started to flow into the cone of depression.

Symbol: t

Measurement: TimeUnit: min

Note: Value can be positive or negative.

Formulas to find Time from start of pump

Time since Stoppage of Pumping

Time since Stoppage of Pumping ( start of recovery).

Symbol: t'

Measurement: TimeUnit: min

Note: Value can be positive or negative.

Formulas to find Time since Stoppage of Pumping

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

log10

The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function.

Syntax: log10(Number)

Other Formulas to find Residual Drawdown

Go Equation for Residual Drawdown

s' = (\frac{Q}{4} \cdot π \cdot T) \cdot (W u - Wu')

Other formulas in Recovery of Piezometric Head category

Go Equation for Slope of Line

m = 2.302 \cdot \frac{Q}{4 \cdot π \cdot T}

Go Discharge about straight-line slope

Q = 4 \cdot π \cdot T \cdot \frac{m}{2.302}

Go Transmissibility about straight-line slope

T = 2.302 \cdot \frac{Q}{4 \cdot π \cdot m}

How to Evaluate Equation for Residual Drawdown for small values of Distance and large values of Time?

Equation for Residual Drawdown for small values of Distance and large values of Time evaluator uses Residual Drawdown = (2.302*Discharge/4*pi*Transmissibility)*log10(Time from start of pump/Time since Stoppage of Pumping) to evaluate the Residual Drawdown, The Equation for Residual Drawdown for small values of Distance and large values of Time is defined as the change in groundwater level due to an applied stress after the cessation of Pumping. Residual Drawdown is denoted by s' symbol.

How to evaluate Equation for Residual Drawdown for small values of Distance and large values of Time using this online evaluator? To use this online evaluator for Equation for Residual Drawdown for small values of Distance and large values of Time, enter Discharge (Q), Transmissibility (T), Time from start of pump (t) & Time since Stoppage of Pumping (t') and hit the calculate button.

FAQs on Equation for Residual Drawdown for small values of Distance and large values of Time

What is the formula to find Equation for Residual Drawdown for small values of Distance and large values of Time?

The formula of Equation for Residual Drawdown for small values of Distance and large values of Time is expressed as Residual Drawdown = (2.302*Discharge/4*pi*Transmissibility)*log10(Time from start of pump/Time since Stoppage of Pumping). Here is an example- 13.26915 = (2.302*3/4*pi*3.5)*log10(3000/600).

How to calculate Equation for Residual Drawdown for small values of Distance and large values of Time?

With Discharge (Q), Transmissibility (T), Time from start of pump (t) & Time since Stoppage of Pumping (t') we can find Equation for Residual Drawdown for small values of Distance and large values of Time using the formula - Residual Drawdown = (2.302*Discharge/4*pi*Transmissibility)*log10(Time from start of pump/Time since Stoppage of Pumping). This formula also uses Archimedes' constant and Common Logarithm (log10) function(s).

What are the other ways to Calculate Residual Drawdown?

Here are the different ways to Calculate Residual Drawdown-

Residual Drawdown=(Discharge/4*pi*Transmissibility)*(Well Function of u-Well Function after the Cessation of Pumping)

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Equation for Residual Drawdown for small values of Distance and large values of Time Formula

​GoEquation for Residual Drawdown Formula

Equation for Residual Drawdown for small values of Distance and large values of Time Example

Equation for Residual Drawdown for small values of Distance and large values of Time Solution

Equation for Residual Drawdown for small values of Distance and large values of Time Formula Elements

Other Formulas to find Residual Drawdown

Other formulas in Recovery of Piezometric Head category

How to Evaluate Equation for Residual Drawdown for small values of Distance and large values of Time?

FAQs on Equation for Residual Drawdown for small values of Distance and large values of Time

Variable Name

GoEquation for Residual Drawdown Formula