Depth of Water in 2nd Well given Confined Aquifer Discharge Calculator

✖Depth of water 1 is the depth of water in the 1st considered well.ⓘ Depth of Water 1 [h₁]			+10% -10%
✖Discharge is the rate of flow of a liquid.ⓘ Discharge [Q]			+10% -10%
✖Radial Distance at Observation Well 2 is the value of radial distance from well 2 when we have prior information of other parameters used.ⓘ Radial Distance at Observation Well 2 [r₂]			+10% -10%
✖Radial Distance at Observation Well 1 is the value of radial distance from well 1 when we have prior information of other parameters used.ⓘ Radial Distance at Observation Well 1 [r₁]			+10% -10%
✖Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability in Well Hydraulics [K_WH]			+10% -10%
✖Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.ⓘ Aquifer Thickness During Pumping [b_p]			+10% -10%

✖Depth of water 2 means the depth of the water in 2nd well.ⓘ Depth of Water in 2nd Well given Confined Aquifer Discharge [h₂]

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Formula

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Depth of Water in 2nd Well given Confined Aquifer Discharge

Formula

`"h"_{"2"} = "h"_{"1"}+(("Q"*log(("r"_{"2"}/"r"_{"1"}),10))/(2.72*"K"_{"WH"}*"b"_{"p"}))`

Example

`"19.47104m"="17.85m"+(("1.01m³/s"*log(("10.0m"/"1.07m"),10))/(2.72*"10.00cm/s"*"2.36m"))`

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Depth of Water in 2nd Well given Confined Aquifer Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Water 2 = Depth of Water 1+((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping))
h₂ = h₁+((Q*log((r₂/r₁),10))/(2.72*K_WH*b_p))
This formula uses 1 Functions, 7 Variables

Functions Used

log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)

Variables Used

Depth of Water 2 - (Measured in Meter) - Depth of water 2 means the depth of the water in 2nd well.
Depth of Water 1 - (Measured in Meter) - Depth of water 1 is the depth of water in the 1st considered well.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Radial Distance at Observation Well 2 - (Measured in Meter) - Radial Distance at Observation Well 2 is the value of radial distance from well 2 when we have prior information of other parameters used.
Radial Distance at Observation Well 1 - (Measured in Meter) - Radial Distance at Observation Well 1 is the value of radial distance from well 1 when we have prior information of other parameters used.
Coefficient of Permeability in Well Hydraulics - (Measured in Meter per Second) - Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.
Aquifer Thickness During Pumping - (Measured in Meter) - Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.

STEP 1: Convert Input(s) to Base Unit

Depth of Water 1: 17.85 Meter --> 17.85 Meter No Conversion Required
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Radial Distance at Observation Well 2: 10 Meter --> 10 Meter No Conversion Required
Radial Distance at Observation Well 1: 1.07 Meter --> 1.07 Meter No Conversion Required
Coefficient of Permeability in Well Hydraulics: 10 Centimeter per Second --> 0.1 Meter per Second (Check conversion here)
Aquifer Thickness During Pumping: 2.36 Meter --> 2.36 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h₂ = h₁+((Q*log((r₂/r₁),10))/(2.72*K_WH*b_p)) --> 17.85+((1.01*log((10/1.07),10))/(2.72*0.1*2.36))

Evaluating ... ...

h₂ = 19.4710369757583

STEP 3: Convert Result to Output's Unit

19.4710369757583 Meter --> No Conversion Required

FINAL ANSWER

19.4710369757583 ≈ 19.47104 Meter <-- Depth of Water 2

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Water Resources : Ground Water » Well Hydraulics » Confined Aquifer » Depth of Water in Well » Depth of Water in 2nd Well given Confined Aquifer Discharge

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 8 Depth of Water in Well Calculators

Depth of Water in Well given Discharge in Confined Aquifer

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

Depth of Water in 1st Well given Confined Aquifer Discharge

Go Depth of Water 1 = Depth of Water 2-((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping))

Depth of Water in 2nd Well given Confined Aquifer Discharge

Go Depth of Water 2 = Depth of Water 1+((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping))

Depth of Water in Well given Coefficient of Transmissibility

Go Depth of Water = Initial Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of well),e))/(2*pi*Coefficient of Transmissibility))

Depth of Water in Well given Discharge in Confined Aquifer with Base 10

Go Depth of Water in Well = Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of well),10))/(2.72*Coefficient of Permeability*Aquifer Thickness During Pumping))

Depth of Water in 1st Well given Coefficient of Transmissibility

Go Depth of Water 1 = Depth of Water 2-((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(2.72*Coefficient of Transmissibility))

Depth of Water in 2nd Well given Coefficient of Transmissibility

Go Depth of Water 2 = Depth of Water 1+((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(2.72*Coefficient of Transmissibility))

Depth of Water in Well given Coefficient of Transmissibility with Base 10

Go Depth of Water in Well = Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of well),10))/(2.72*Coefficient of Transmissibility))

Depth of Water in 2nd Well given Confined Aquifer Discharge Formula

What is Confined Aquifer?

A confined aquifer is an aquifer below the land surface that is saturated with water. Layers of impermeable material are both above and below the aquifer, causing it to be under pressure so that when the aquifer is penetrated by a well, the water will rise above the top of the aquifer.

How to Calculate Depth of Water in 2nd Well given Confined Aquifer Discharge?

Depth of Water in 2nd Well given Confined Aquifer Discharge calculator uses Depth of Water 2 = Depth of Water 1+((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping)) to calculate the Depth of Water 2, The Depth of Water in 2nd Well given Confined Aquifer Discharge is defined as the value of depth of water in well when we have prior information of other parameters used. Depth of Water 2 is denoted by h₂ symbol.

How to calculate Depth of Water in 2nd Well given Confined Aquifer Discharge using this online calculator? To use this online calculator for Depth of Water in 2nd Well given Confined Aquifer Discharge, enter Depth of Water 1 (h₁), Discharge (Q), Radial Distance at Observation Well 2 (r₂), Radial Distance at Observation Well 1 (r₁), Coefficient of Permeability in Well Hydraulics (K_WH) & Aquifer Thickness During Pumping (b_p) and hit the calculate button. Here is how the Depth of Water in 2nd Well given Confined Aquifer Discharge calculation can be explained with given input values -> 19.47104 = 17.85+((1.01*log((10/1.07),10))/(2.72*0.1*2.36)).

FAQ

What is Depth of Water in 2nd Well given Confined Aquifer Discharge?

The Depth of Water in 2nd Well given Confined Aquifer Discharge is defined as the value of depth of water in well when we have prior information of other parameters used and is represented as h₂ = h₁+((Q*log((r₂/r₁),10))/(2.72*K_WH*b_p)) or Depth of Water 2 = Depth of Water 1+((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping)). Depth of water 1 is the depth of water in the 1st considered well, Discharge is the rate of flow of a liquid, Radial Distance at Observation Well 2 is the value of radial distance from well 2 when we have prior information of other parameters used, Radial Distance at Observation Well 1 is the value of radial distance from well 1 when we have prior information of other parameters used, Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil & Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.

How to calculate Depth of Water in 2nd Well given Confined Aquifer Discharge?

The Depth of Water in 2nd Well given Confined Aquifer Discharge is defined as the value of depth of water in well when we have prior information of other parameters used is calculated using Depth of Water 2 = Depth of Water 1+((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping)). To calculate Depth of Water in 2nd Well given Confined Aquifer Discharge, you need Depth of Water 1 (h₁), Discharge (Q), Radial Distance at Observation Well 2 (r₂), Radial Distance at Observation Well 1 (r₁), Coefficient of Permeability in Well Hydraulics (K_WH) & Aquifer Thickness During Pumping (b_p). With our tool, you need to enter the respective value for Depth of Water 1, Discharge, Radial Distance at Observation Well 2, Radial Distance at Observation Well 1, Coefficient of Permeability in Well Hydraulics & Aquifer Thickness During Pumping and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Depth of Water 2?

In this formula, Depth of Water 2 uses Depth of Water 1, Discharge, Radial Distance at Observation Well 2, Radial Distance at Observation Well 1, Coefficient of Permeability in Well Hydraulics & Aquifer Thickness During Pumping. We can use 1 other way(s) to calculate the same, which is/are as follows -

Depth of Water 2 = Depth of Water 1+((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(2.72*Coefficient of Transmissibility))

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