FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Drawdown at Well given Coefficient of Transmissibility Formula

Fx Copy

LaTeX Copy

The Total Drawdown 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}{\frac{2 \cdot π \cdot T envi}{\log ((\frac{R w}{r}), e)}}

s_t - Total Drawdown?Q - Discharge?T_envi - Coefficient of Transmissibility?R_w - Radius of Influence?r - Radius of Well?π - Archimedes' constant?

Drawdown at Well given Coefficient of Transmissibility Example

With values

With units

Only example

Here is how the Drawdown at Well given Coefficient of Transmissibility equation looks like with Values.

Here is how the Drawdown at Well given Coefficient of Transmissibility equation looks like with Units.

Here is how the Drawdown at Well given Coefficient of Transmissibility equation looks like.

0.783 = \frac{1.01}{\frac{2 \cdot 3.1416 \cdot 1.5}{\log ((\frac{8.6}{7.5}), e)}}

0.783m = \frac{1.01m³/s}{\frac{2 \cdot 3.1416 \cdot 1.5m²/s}{\log ((\frac{8.6m}{7.5m}), e)}}

0.783 = \frac{1.01}{\frac{2 \cdot 3.1416 \cdot 1.5}{\log ((\frac{8.6}{7.5}), e)}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Environmental Engineering » fx Drawdown at Well given Coefficient of Transmissibility

Drawdown at Well given Coefficient of Transmissibility Solution

Follow our step by step solution on how to calculate Drawdown at Well given Coefficient of Transmissibility?

FIRST Step Consider the formula

s t = \frac{Q}{\frac{2 \cdot π \cdot T envi}{\log ((\frac{R w}{r}), e)}}

Next Step Substitute values of Variables

∴

s t = \frac{1.01m³/s}{\frac{2 \cdot π \cdot 1.5m²/s}{\log ((\frac{8.6m}{7.5m}), e)}}

Next Step Substitute values of Constants

∴

s t = \frac{1.01m³/s}{\frac{2 \cdot 3.1416 \cdot 1.5m²/s}{\log ((\frac{8.6m}{7.5m}), e)}}

Next Step Prepare to Evaluate

∴

s t = \frac{1.01}{\frac{2 \cdot 3.1416 \cdot 1.5}{\log ((\frac{8.6}{7.5}), e)}}

Next Step Evaluate

∴

s t = 0.783026218781276m

LAST Step Rounding Answer

∴

s t = 0.783m

Drawdown at Well given Coefficient of Transmissibility Formula Elements

Variables

Constants

Functions

Total Drawdown

The Total Drawdown 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

Discharge

Discharge is the flow rate of water that is extracted from or injected into a well.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge

Coefficient of Transmissibility

Coefficient of Transmissibility is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer.

Symbol: T_envi

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Coefficient of Transmissibility

Radius of Influence

Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.

Symbol: R_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Influence

Radius of Well

Radius of Well is defined as the distance from center of well to its outer boundary.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Well

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

log

Logarithmic function is an inverse function to exponentiation.

Syntax: log(Base, Number)

Other formulas in Drawdown at well category

Go Drawdown at Well given Confined Aquifer Discharge

S tw = \frac{Q}{\frac{2 \cdot π \cdot K WH \cdot b p}{\log ((\frac{R w}{r}), e)}}

Go Drawdown at Well given Confined Aquifer Discharge with Base 10

S tw = \frac{Q}{\frac{2.72 \cdot K WH \cdot b w}{\log ((\frac{R w}{r}), 10)}}

Go Drawdown at Well given Coefficient of Transmissibility with Base 10

S tw = \frac{Q}{\frac{2.72 \cdot T envi}{\log ((\frac{R w}{r}), 10)}}

How to Evaluate Drawdown at Well given Coefficient of Transmissibility?

Drawdown at Well given Coefficient of Transmissibility evaluator uses Total Drawdown = Discharge/((2*pi*Coefficient of Transmissibility)/(log((Radius of Influence/Radius of Well),e))) to evaluate the Total Drawdown, The Drawdown at Well given Coefficient of Transmissibility formula is defined as the value of drawdown at well when we have prior information of coefficient of transmissibility. Total Drawdown is denoted by s_t symbol.

How to evaluate Drawdown at Well given Coefficient of Transmissibility using this online evaluator? To use this online evaluator for Drawdown at Well given Coefficient of Transmissibility, enter Discharge (Q), Coefficient of Transmissibility (T_envi), Radius of Influence (R_w) & Radius of Well (r) and hit the calculate button.

FAQs on Drawdown at Well given Coefficient of Transmissibility

What is the formula to find Drawdown at Well given Coefficient of Transmissibility?

The formula of Drawdown at Well given Coefficient of Transmissibility is expressed as Total Drawdown = Discharge/((2*pi*Coefficient of Transmissibility)/(log((Radius of Influence/Radius of Well),e))). Here is an example- 0.783026 = 1.01/((2*pi*1.5)/(log((8.6/7.5),e))).

How to calculate Drawdown at Well given Coefficient of Transmissibility?

With Discharge (Q), Coefficient of Transmissibility (T_envi), Radius of Influence (R_w) & Radius of Well (r) we can find Drawdown at Well given Coefficient of Transmissibility using the formula - Total Drawdown = Discharge/((2*pi*Coefficient of Transmissibility)/(log((Radius of Influence/Radius of Well),e))). This formula also uses Archimedes' constant and Logarithmic Inverse (log) function(s).

Can the Drawdown at Well given Coefficient of Transmissibility be negative?

Yes, the Drawdown at Well given Coefficient of Transmissibility, measured in Length can be negative.

Which unit is used to measure Drawdown at Well given Coefficient of Transmissibility?

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Drawdown at Well given Coefficient of Transmissibility Formula

Drawdown at Well given Coefficient of Transmissibility Example

Drawdown at Well given Coefficient of Transmissibility Solution

Drawdown at Well given Coefficient of Transmissibility Formula Elements

Other formulas in Drawdown at well category

How to Evaluate Drawdown at Well given Coefficient of Transmissibility?

FAQs on Drawdown at Well given Coefficient of Transmissibility

Variable Name