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Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10 Formula

GoRatio of Discharge due to Spherical Flow to Discharge due to Radial Flow Formula

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Ratio of discharge refers to the ratio of discharge due to spherical flow to discharge due to radial flow. Check FAQs

QsQ ratio = 2.3 \cdot (\frac{r}{b}) \cdot \log ((\frac{R}{r}), 10)

QsQ_ratio - Ratio of Discharge?r - Radius of Well?b - Aquifer Thickness?R - Radius of Influence?

Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10 Example

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Here is how the Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10 equation looks like with Values.

Here is how the Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10 equation looks like with Units.

Here is how the Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10 equation looks like.

0.2943 = 2.3 \cdot (\frac{2.94}{15}) \cdot \log ((\frac{100}{2.94}), 10)

0.2943 = 2.3 \cdot (\frac{2.94m}{15m}) \cdot \log ((\frac{100m}{2.94m}), 10)

0.2943 = 2.3 \cdot (\frac{2.94}{15}) \cdot \log ((\frac{100}{2.94}), 10)

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Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10 Solution

Follow our step by step solution on how to calculate Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10?

FIRST Step Consider the formula

QsQ ratio = 2.3 \cdot (\frac{r}{b}) \cdot \log ((\frac{R}{r}), 10)

Next Step Substitute values of Variables

∴

QsQ ratio = 2.3 \cdot (\frac{2.94m}{15m}) \cdot \log ((\frac{100m}{2.94m}), 10)

Next Step Prepare to Evaluate

∴

QsQ ratio = 2.3 \cdot (\frac{2.94}{15}) \cdot \log ((\frac{100}{2.94}), 10)

Next Step Evaluate

∴

QsQ ratio = 0.294322602605007

LAST Step Rounding Answer

∴

QsQ ratio = 0.2943

Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10 Formula Elements

Variables

Functions

Ratio of Discharge

Ratio of discharge refers to the ratio of discharge due to spherical flow to discharge due to radial flow.

Symbol: QsQ_ratio

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Ratio of Discharge

Radius of Well

The radius of well refers to the horizontal distance from the center of the well to its inner wall, essentially the well’s radius.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Well

Aquifer Thickness

Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.

Symbol: b

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Aquifer Thickness

Radius of Influence

The radius of influence is the distance from a pumping well to the point where the drawdown, or lowering of the water table, becomes negligible.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Influence

log

Logarithmic function is an inverse function to exponentiation.

Syntax: log(Base, Number)

Other Formulas to find Ratio of Discharge

Go Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow

QsQ ratio = (\frac{r}{b}) \cdot \log ((\frac{R}{r}), e)

Other formulas in Spherical Flow in a Well category

Go Discharge due to Spherical Flow in Well

Q s = 2 \cdot π \cdot K \cdot r \cdot (H - h w)

Go Coefficient of Permeability given Discharge due to Spherical Flow in Well

K = \frac{Q s}{2 \cdot π \cdot r \cdot (H - h w)}

Go Radius of Well given Discharge due to Spherical Flow in Well

r = \frac{Q s}{2 \cdot π \cdot K \cdot (H - h w)}

Go Thickness of Aquifer given Discharge due to Spherical Flow in Well

H = h w + (\frac{Q s}{2 \cdot π \cdot K \cdot r})

How to Evaluate Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10?

Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10 evaluator uses Ratio of Discharge = 2.3*(Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),10) to evaluate the Ratio of Discharge, Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10 formula is defined as a dimensionless quantity that compares the discharge rates of spherical and radial flows in a well, providing insights into the flow patterns and hydraulic properties of the aquifer. Ratio of Discharge is denoted by QsQ_ratio symbol.

How to evaluate Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10 using this online evaluator? To use this online evaluator for Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10, enter Radius of Well (r), Aquifer Thickness (b) & Radius of Influence (R) and hit the calculate button.

FAQs on Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10

What is the formula to find Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10?

The formula of Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10 is expressed as Ratio of Discharge = 2.3*(Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),10). Here is an example- 0.294323 = 2.3*(2.94/15)*log((100/2.94),10).

How to calculate Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10?

With Radius of Well (r), Aquifer Thickness (b) & Radius of Influence (R) we can find Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10 using the formula - Ratio of Discharge = 2.3*(Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),10). This formula also uses Logarithmic Inverse (log) function(s).

What are the other ways to Calculate Ratio of Discharge?

Here are the different ways to Calculate Ratio of Discharge-

Ratio of Discharge=(Radius of Well/Aquifer Thickness)*log((Radius of Influence/Radius of Well),e)

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Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10 Formula

​GoRatio of Discharge due to Spherical Flow to Discharge due to Radial Flow Formula

Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10 Example

Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10 Solution

Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10 Formula Elements

Other Formulas to find Ratio of Discharge

Other formulas in Spherical Flow in a Well category

How to Evaluate Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10?

FAQs on Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10

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GoRatio of Discharge due to Spherical Flow to Discharge due to Radial Flow Formula