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Aquifer Thickness given Discharge by Spherical Flow Formula

GoAquifer Thickness given Ratio of Discharge Formula

GoAquifer Thickness given Ratio of Discharge with Base 10 Formula

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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. Check FAQs

b = (\frac{r}{\frac{Q s}{Q fe}}) \cdot \log ((\frac{R}{r}), e)

b - Aquifer Thickness?r - Radius of Well?Q_s - Discharge by Spherical Flow?Q_fe - Discharge for Fully Penetrating Gravity Well?R - Radius of Influence?

Aquifer Thickness given Discharge by Spherical Flow Example

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Here is how the Aquifer Thickness given Discharge by Spherical Flow equation looks like with Values.

Here is how the Aquifer Thickness given Discharge by Spherical Flow equation looks like with Units.

Here is how the Aquifer Thickness given Discharge by Spherical Flow equation looks like.

15.0053 = (\frac{2.94}{\frac{0.34}{6.12}}) \cdot \log ((\frac{100}{2.94}), e)

15.0053m = (\frac{2.94m}{\frac{0.34m³/s}{6.12m³/s}}) \cdot \log ((\frac{100m}{2.94m}), e)

15.0053 = (\frac{2.94}{\frac{0.34}{6.12}}) \cdot \log ((\frac{100}{2.94}), e)

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Aquifer Thickness given Discharge by Spherical Flow Solution

Follow our step by step solution on how to calculate Aquifer Thickness given Discharge by Spherical Flow?

FIRST Step Consider the formula

b = (\frac{r}{\frac{Q s}{Q fe}}) \cdot \log ((\frac{R}{r}), e)

Next Step Substitute values of Variables

∴

b = (\frac{2.94m}{\frac{0.34m³/s}{6.12m³/s}}) \cdot \log ((\frac{100m}{2.94m}), e)

Next Step Prepare to Evaluate

∴

b = (\frac{2.94}{\frac{0.34}{6.12}}) \cdot \log ((\frac{100}{2.94}), e)

Next Step Evaluate

∴

b = 15.0052713899585m

LAST Step Rounding Answer

∴

b = 15.0053m

Aquifer Thickness given Discharge by Spherical Flow Formula Elements

Variables

Functions

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 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

Discharge by Spherical Flow

Discharge by Spherical Flow refers to when water moves radially towards the well in a three-dimensional pattern, typical in confined aquifers or near partially penetrating wells.

Symbol: Q_s

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge by Spherical Flow

Discharge for Fully Penetrating Gravity Well

Discharge for Fully Penetrating Gravity Well refers to the volume of water extracted from an unconfined aquifer where the well reaches the entire thickness of the aquifer.

Symbol: Q_fe

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge for Fully Penetrating Gravity Well

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 Aquifer Thickness

Go Aquifer Thickness given Ratio of Discharge

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

Go Aquifer Thickness given Ratio of Discharge with Base 10

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

Go Aquifer Thickness given Discharge by Spherical Flow with Base 10

b = 2.3 \cdot (\frac{r}{\frac{Q s}{Q fe}}) \cdot \log ((\frac{R}{r}), 10)

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 Aquifer Thickness given Discharge by Spherical Flow?

Aquifer Thickness given Discharge by Spherical Flow evaluator uses Aquifer Thickness = (Radius of Well/(Discharge by Spherical Flow/Discharge for Fully Penetrating Gravity Well))*log((Radius of Influence/Radius of Well),e) to evaluate the Aquifer Thickness, Aquifer Thickness given Discharge by Spherical Flow formula is defined as a method to estimate the thickness of an aquifer, which is a vital parameter in groundwater studies, by analyzing the discharge of a well and the flow pattern around it, providing valuable insights into the aquifer's properties and behavior. Aquifer Thickness is denoted by b symbol.

How to evaluate Aquifer Thickness given Discharge by Spherical Flow using this online evaluator? To use this online evaluator for Aquifer Thickness given Discharge by Spherical Flow, enter Radius of Well (r), Discharge by Spherical Flow (Q_s), Discharge for Fully Penetrating Gravity Well (Q_fe) & Radius of Influence (R) and hit the calculate button.

FAQs on Aquifer Thickness given Discharge by Spherical Flow

What is the formula to find Aquifer Thickness given Discharge by Spherical Flow?

The formula of Aquifer Thickness given Discharge by Spherical Flow is expressed as Aquifer Thickness = (Radius of Well/(Discharge by Spherical Flow/Discharge for Fully Penetrating Gravity Well))*log((Radius of Influence/Radius of Well),e). Here is an example- 15.00527 = (2.94/(0.34/6.12))*log((100/2.94),e).

How to calculate Aquifer Thickness given Discharge by Spherical Flow?

With Radius of Well (r), Discharge by Spherical Flow (Q_s), Discharge for Fully Penetrating Gravity Well (Q_fe) & Radius of Influence (R) we can find Aquifer Thickness given Discharge by Spherical Flow using the formula - Aquifer Thickness = (Radius of Well/(Discharge by Spherical Flow/Discharge for Fully Penetrating Gravity Well))*log((Radius of Influence/Radius of Well),e). This formula also uses Logarithmic Inverse Function function(s).

What are the other ways to Calculate Aquifer Thickness?

Here are the different ways to Calculate Aquifer Thickness-

Aquifer Thickness=(Radius of Well/Ratio of Discharge)*log((Radius of Influence/Radius of Well),e)
Aquifer Thickness=2.3*(Radius of Well/Ratio of Discharge)*log((Radius of Influence/Radius of Well),10)
Aquifer Thickness=2.3*(Radius of Well/(Discharge by Spherical Flow/Discharge for Fully Penetrating Gravity Well))*log((Radius of Influence/Radius of Well),10)

Can the Aquifer Thickness given Discharge by Spherical Flow be negative?

Yes, the Aquifer Thickness given Discharge by Spherical Flow, measured in Length can be negative.

Which unit is used to measure Aquifer Thickness given Discharge by Spherical Flow?

Aquifer Thickness given Discharge by Spherical Flow is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Aquifer Thickness given Discharge by Spherical Flow can be measured.

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Aquifer Thickness given Discharge by Spherical Flow Formula

​GoAquifer Thickness given Ratio of Discharge Formula

​GoAquifer Thickness given Ratio of Discharge with Base 10 Formula

Aquifer Thickness given Discharge by Spherical Flow Example

Aquifer Thickness given Discharge by Spherical Flow Solution

Aquifer Thickness given Discharge by Spherical Flow Formula Elements

Other Formulas to find Aquifer Thickness

Other formulas in Spherical Flow in a Well category

How to Evaluate Aquifer Thickness given Discharge by Spherical Flow?

FAQs on Aquifer Thickness given Discharge by Spherical Flow

Variable Name

GoAquifer Thickness given Ratio of Discharge Formula

GoAquifer Thickness given Ratio of Discharge with Base 10 Formula