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Drawdown given Well Function Formula

GoDrawdown given Chow's Function Formula

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Total Drawdown in Well is defined as the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test. Check FAQs

s t = \frac{Q \cdot W u}{4 \cdot π \cdot F c}

s_t - Total Drawdown in Well?Q - Discharge?W_u - Well Function of u?F_c - Formation Constant for Unsteady Flow?π - Archimedes' constant?

Drawdown given Well Function Example

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Here is how the Drawdown given Well Function equation looks like with Values.

Here is how the Drawdown given Well Function equation looks like with Units.

Here is how the Drawdown given Well Function equation looks like.

0.8389 = \frac{1.01 \cdot 8.35}{4 \cdot 3.1416 \cdot 0.8}

0.8389m = \frac{1.01m³/s \cdot 8.35}{4 \cdot 3.1416 \cdot 0.8m²/s}

0.8389 = \frac{1.01 \cdot 8.35}{4 \cdot 3.1416 \cdot 0.8}

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Drawdown given Well Function Solution

Follow our step by step solution on how to calculate Drawdown given Well Function?

FIRST Step Consider the formula

s t = \frac{Q \cdot W u}{4 \cdot π \cdot F c}

Next Step Substitute values of Variables

∴

s t = \frac{1.01m³/s \cdot 8.35}{4 \cdot π \cdot 0.8m²/s}

Next Step Substitute values of Constants

∴

s t = \frac{1.01m³/s \cdot 8.35}{4 \cdot 3.1416 \cdot 0.8m²/s}

Next Step Prepare to Evaluate

∴

s t = \frac{1.01 \cdot 8.35}{4 \cdot 3.1416 \cdot 0.8}

Next Step Evaluate

∴

s t = 0.838895757853437m

LAST Step Rounding Answer

∴

s t = 0.8389m

Drawdown given Well Function Formula Elements

Variables

Constants

Total Drawdown in Well

Total Drawdown in Well is defined as the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test.

Symbol: s_t

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Total Drawdown in Well

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

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

Formation Constant for Unsteady Flow

Formation Constant for Unsteady Flow is an equilibrium constant for the formation of a complex in solution.

Symbol: F_c

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Formation Constant for Unsteady Flow

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 Total Drawdown in Well

Go Drawdown given Chow's Function

s t = F u \cdot Δd

Other formulas in Drawdown and Change in Drawdown category

Go Change in Drawdown given Formation Constant T

Δd = \frac{2.303 \cdot Q}{4 \cdot π \cdot F c}

Go Change in Drawdown given Time at 1st and 2nd Instance

Δs = \frac{2.303 \cdot Q \cdot \log ((\frac{t2}{t 1}), 10)}{4 \cdot π \cdot t hr}

Go Chow's Function given Drawdown

F u = \frac{s t}{Δd}

Go Change in Drawdown given Chow's Function

Δd = \frac{s t}{F u}

How to Evaluate Drawdown given Well Function?

Drawdown given Well Function evaluator uses Total Drawdown in Well = (Discharge*Well Function of u)/(4*pi*Formation Constant for Unsteady Flow) to evaluate the Total Drawdown in Well, Drawdown given Well Function formula is defined as a measure of the decline in hydraulic head at an observation well in an unconfined aquifer during pumping, which helps to analyze the response of the aquifer to pumping and determine the hydraulic properties of the aquifer. Total Drawdown in Well is denoted by s_t symbol.

How to evaluate Drawdown given Well Function using this online evaluator? To use this online evaluator for Drawdown given Well Function, enter Discharge (Q), Well Function of u (W_u) & Formation Constant for Unsteady Flow (F_c) and hit the calculate button.

FAQs on Drawdown given Well Function

What is the formula to find Drawdown given Well Function?

The formula of Drawdown given Well Function is expressed as Total Drawdown in Well = (Discharge*Well Function of u)/(4*pi*Formation Constant for Unsteady Flow). Here is an example- 0.828539 = (1.01*8.35)/(4*pi*0.8).

How to calculate Drawdown given Well Function?

With Discharge (Q), Well Function of u (W_u) & Formation Constant for Unsteady Flow (F_c) we can find Drawdown given Well Function using the formula - Total Drawdown in Well = (Discharge*Well Function of u)/(4*pi*Formation Constant for Unsteady Flow). This formula also uses Archimedes' constant .

What are the other ways to Calculate Total Drawdown in Well?

Here are the different ways to Calculate Total Drawdown in Well-

Total Drawdown in Well=Chow's Function*Change in Drawdown

Can the Drawdown given Well Function be negative?

Yes, the Drawdown given Well Function, measured in Length can be negative.

Which unit is used to measure Drawdown given Well Function?

Drawdown given Well Function is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Drawdown given Well Function can be measured.

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Drawdown given Well Function Formula

​GoDrawdown given Chow's Function Formula

Drawdown given Well Function Example

Drawdown given Well Function Solution

Drawdown given Well Function Formula Elements

Other Formulas to find Total Drawdown in Well

Other formulas in Drawdown and Change in Drawdown category

How to Evaluate Drawdown given Well Function?

FAQs on Drawdown given Well Function

Variable Name

GoDrawdown given Chow's Function Formula