FormulaDen.com

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

Aquifer Thickness given Depth of Water in Two Wells Formula

GoThickness of Confined Aquifer given Discharge in Confined Aquifer Formula

Fx Copy

LaTeX Copy

Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage. Check FAQs

b p = \frac{Q}{\frac{2.72 \cdot K w \cdot (h 2 - h 1)}{\log ((\frac{r 2}{r 1}), 10)}}

b_p - Aquifer Thickness During Pumping?Q - Discharge?K_w - Coefficient of Permeability?h₂ - Depth of Water 2?h₁ - Depth of Water 1?r₂ - Radial Distance at Observation Well 2?r₁ - Radial Distance at Observation Well 1?

Aquifer Thickness given Depth of Water in Two Wells Example

With values

With units

Only example

Here is how the Aquifer Thickness given Depth of Water in Two Wells equation looks like with Values.

Here is how the Aquifer Thickness given Depth of Water in Two Wells equation looks like with Units.

Here is how the Aquifer Thickness given Depth of Water in Two Wells equation looks like.

2.3615 = \frac{1.01}{\frac{2.72 \cdot 1125 \cdot (17.8644 - 17.85)}{\log ((\frac{10}{1.07}), 10)}}

2.3615m = \frac{1.01m³/s}{\frac{2.72 \cdot 1125cm/s \cdot (17.8644m - 17.85m)}{\log ((\frac{10m}{1.07m}), 10)}}

2.3615 = \frac{1.01}{\frac{2.72 \cdot 1125 \cdot (17.8644 - 17.85)}{\log ((\frac{10}{1.07}), 10)}}

Tip: Use pencil () icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Engineering » Civil » Environmental Engineering » Aquifer Thickness given Depth of Water in Two Wells

Aquifer Thickness given Depth of Water in Two Wells Solution

Follow our step by step solution on how to calculate Aquifer Thickness given Depth of Water in Two Wells?

FIRST Step Consider the formula

b p = \frac{Q}{\frac{2.72 \cdot K w \cdot (h 2 - h 1)}{\log ((\frac{r 2}{r 1}), 10)}}

Next Step Substitute values of Variables

∴

b p = \frac{1.01m³/s}{\frac{2.72 \cdot 1125cm/s \cdot (17.8644m - 17.85m)}{\log ((\frac{10m}{1.07m}), 10)}}

Next Step Convert Units

∴

b p = \frac{1.01m³/s}{\frac{2.72 \cdot 11.25m/s \cdot (17.8644m - 17.85m)}{\log ((\frac{10m}{1.07m}), 10)}}

Next Step Prepare to Evaluate

∴

b p = \frac{1.01}{\frac{2.72 \cdot 11.25 \cdot (17.8644 - 17.85)}{\log ((\frac{10}{1.07}), 10)}}

Next Step Evaluate

∴

b p = 2.36151065604315m

LAST Step Rounding Answer

∴

b p = 2.3615m

Aquifer Thickness given Depth of Water in Two Wells Formula Elements

Variables

Functions

Aquifer Thickness During Pumping

Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.

Symbol: b_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

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.

Coefficient of Permeability

Coefficient of Permeability is the velocity in meters or centimeters per second of water through soils.

Symbol: K_w

Measurement: SpeedUnit: cm/s

Note: Value should be greater than 0.

Depth of Water 2

Depth of water 2 means the depth of the water in 2nd well.

Symbol: h₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Depth of Water 1

Depth of Water 1 is the depth of water in the 1st considered well.

Symbol: h₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Radial Distance at Observation Well 2

Radial Distance at Observation Well 2 is the value of radial distance from well 2 when we have prior information of other parameters used.

Symbol: r₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Radial Distance at Observation Well 1

Radial Distance at Observation Well 1 is the value of radial distance from well 1 when we have prior information of other parameters used.

Symbol: r₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

log

Logarithmic function is an inverse function to exponentiation.

Syntax: log(Base, Number)

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Formula and 2100+ more formulas!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Formula and 2600+ more formulas!

Other Formulas to find Aquifer Thickness During Pumping

Go Thickness of Confined Aquifer given Discharge in Confined Aquifer

b p = \frac{Q}{\frac{2 \cdot π \cdot K w \cdot (H i - h w)}{\log ((\frac{R w}{r}), e)}}

Other formulas in Aquifer Thickness category

Go Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer

H i = h w + (\frac{Q \cdot \log ((\frac{R w}{r}), e)}{2 \cdot π \cdot K w \cdot b w})

Go Thickness of Confined Aquifer given Discharge in Confined Aquifer with Base 10

t aq = \frac{Q c}{\frac{2.72 \cdot K WH \cdot (b w - h w)}{\log ((\frac{R w}{r}), 10)}}

How to Evaluate Aquifer Thickness given Depth of Water in Two Wells?

Aquifer Thickness given Depth of Water in Two Wells evaluator uses Aquifer Thickness During Pumping = Discharge/((2.72*Coefficient of Permeability*(Depth of Water 2-Depth of Water 1))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))) to evaluate the Aquifer Thickness During Pumping, The Aquifer Thickness given Depth of Water in Two Wells formula is defined as the calculation of the value of aquifer thickness when we have prior information of depth of water in two wells. Aquifer Thickness During Pumping is denoted by b_p symbol.

How to evaluate Aquifer Thickness given Depth of Water in Two Wells using this online evaluator? To use this online evaluator for Aquifer Thickness given Depth of Water in Two Wells, enter Discharge (Q), Coefficient of Permeability (K_w), Depth of Water 2 (h₂), Depth of Water 1 (h₁), Radial Distance at Observation Well 2 (r₂) & Radial Distance at Observation Well 1 (r₁) and hit the calculate button.

FAQs on Aquifer Thickness given Depth of Water in Two Wells

What is the formula to find Aquifer Thickness given Depth of Water in Two Wells?

The formula of Aquifer Thickness given Depth of Water in Two Wells is expressed as Aquifer Thickness During Pumping = Discharge/((2.72*Coefficient of Permeability*(Depth of Water 2-Depth of Water 1))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))). Here is an example- 2.656699 = 1.01/((2.72*11.25*(17.8644-17.85))/(log((10/1.07),10))).

How to calculate Aquifer Thickness given Depth of Water in Two Wells?

With Discharge (Q), Coefficient of Permeability (K_w), Depth of Water 2 (h₂), Depth of Water 1 (h₁), Radial Distance at Observation Well 2 (r₂) & Radial Distance at Observation Well 1 (r₁) we can find Aquifer Thickness given Depth of Water in Two Wells using the formula - Aquifer Thickness During Pumping = Discharge/((2.72*Coefficient of Permeability*(Depth of Water 2-Depth of Water 1))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))). This formula also uses Logarithmic Inverse (log) function(s).

What are the other ways to Calculate Aquifer Thickness During Pumping?

Here are the different ways to Calculate Aquifer Thickness During Pumping-

Aquifer Thickness During Pumping=Discharge/((2*pi*Coefficient of Permeability*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),e)))

Can the Aquifer Thickness given Depth of Water in Two Wells be negative?

No, the Aquifer Thickness given Depth of Water in Two Wells, measured in Length cannot be negative.

Which unit is used to measure Aquifer Thickness given Depth of Water in Two Wells?

Aquifer Thickness given Depth of Water in Two Wells 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 Depth of Water in Two Wells can be measured.