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Equation for Residual Drawdown Formula

GoEquation for Residual Drawdown for small values of Distance and large values of Time 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' = (\frac{Q}{4} \cdot π \cdot T) \cdot (W u - Wu')

s' - Residual Drawdown?Q - Discharge?T - Transmissibility?W_u - Well Function of u?Wu' - Well Function after the Cessation of Pumping?π - Archimedes' constant?

Equation for Residual Drawdown Example

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Here is how the Equation for Residual Drawdown equation looks like with Values.

Here is how the Equation for Residual Drawdown equation looks like with Units.

Here is how the Equation for Residual Drawdown equation looks like.

13.1947 = (\frac{3}{4} \cdot 3.1416 \cdot 3.5) \cdot (2 - 0.4)

13.1947 = (\frac{3m³/s}{4} \cdot 3.1416 \cdot 3.5m²/s) \cdot (2 - 0.4)

13.1947 = (\frac{3}{4} \cdot 3.1416 \cdot 3.5) \cdot (2 - 0.4)

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Equation for Residual Drawdown Solution

Follow our step by step solution on how to calculate Equation for Residual Drawdown?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

s' = (\frac{3m³/s}{4} \cdot π \cdot 3.5m²/s) \cdot (2 - 0.4)

Next Step Substitute values of Constants

∴

s' = (\frac{3m³/s}{4} \cdot 3.1416 \cdot 3.5m²/s) \cdot (2 - 0.4)

Next Step Prepare to Evaluate

∴

s' = (\frac{3}{4} \cdot 3.1416 \cdot 3.5) \cdot (2 - 0.4)

Next Step Evaluate

∴

s' = 13.1946891450771

LAST Step Rounding Answer

∴

s' = 13.1947

Equation for Residual Drawdown Formula Elements

Variables

Constants

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

Well Function of u

Well Function of u is the data plot of drawdown versus time (or drawdown versus t/rz) is matched to the type curve of W(u) versus 1/u.

Symbol: W_u

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Well Function of u

Well Function after the Cessation of Pumping

Well Function after the Cessation of Pumping is the data plot of drawdown versus time easily calculates the exponential integral.

Symbol: Wu'

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Well Function after the Cessation 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

Other Formulas to find Residual Drawdown

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

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

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?

Equation for Residual Drawdown evaluator uses Residual Drawdown = (Discharge/4*pi*Transmissibility)*(Well Function of u-Well Function after the Cessation of Pumping) to evaluate the Residual Drawdown, The Equation for Residual Drawdown 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 using this online evaluator? To use this online evaluator for Equation for Residual Drawdown, enter Discharge (Q), Transmissibility (T), Well Function of u (W_u) & Well Function after the Cessation of Pumping (Wu') and hit the calculate button.

FAQs on Equation for Residual Drawdown

What is the formula to find Equation for Residual Drawdown?

The formula of Equation for Residual Drawdown is expressed as Residual Drawdown = (Discharge/4*pi*Transmissibility)*(Well Function of u-Well Function after the Cessation of Pumping). Here is an example- 13.19469 = (3/4*pi*3.5)*(2-0.4).

How to calculate Equation for Residual Drawdown?

With Discharge (Q), Transmissibility (T), Well Function of u (W_u) & Well Function after the Cessation of Pumping (Wu') we can find Equation for Residual Drawdown using the formula - Residual Drawdown = (Discharge/4*pi*Transmissibility)*(Well Function of u-Well Function after the Cessation of Pumping). This formula also uses Archimedes' constant .

What are the other ways to Calculate Residual Drawdown?

Here are the different ways to Calculate Residual Drawdown-

Residual Drawdown=(2.302*Discharge/4*pi*Transmissibility)*log10(Time from start of pump/Time since Stoppage of Pumping)

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Equation for Residual Drawdown Formula

​GoEquation for Residual Drawdown for small values of Distance and large values of Time Formula

Equation for Residual Drawdown Example

Equation for Residual Drawdown Solution

Equation for Residual Drawdown Formula Elements

Other Formulas to find Residual Drawdown

Other formulas in Recovery of Piezometric Head category

How to Evaluate Equation for Residual Drawdown?

FAQs on Equation for Residual Drawdown

Variable Name

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