Radial Distance of Well 1 based on Discharge of Two Wells under Consideration Calculator

✖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%
✖Coefficient of Permeability of Soil Particle describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability of Soil Particle [K_soil]			+10% -10%
✖Depth of water 2 means the depth of the water in 2nd well.ⓘ Depth of Water 2 [h₂]			+10% -10%
✖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 1 is the value of radial distance from well 1 when we have prior information of other parameters used.ⓘ Radial Distance of Well 1 based on Discharge of Two Wells under Consideration [R₁]

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Radial Distance of Well 1 based on Discharge of Two Wells under Consideration

Formula

`"R"_{"1"} = "r"_{"2"}/exp((pi*"K"_{"soil"}*("h"_{"2"}^2-"h"_{"1"}^2))/"Q")`

Example

`"9.99984m"="10.0m"/exp((pi*"0.001cm/s"*(("17.8644m")^2-("17.85m")^2))/"1.01m³/s")`

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Radial Distance of Well 1 based on Discharge of Two Wells under Consideration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Distance 1 = Radial Distance at Observation Well 2/exp((pi*Coefficient of Permeability of Soil Particle*(Depth of Water 2^2-Depth of Water 1^2))/Discharge)
R₁ = r₂/exp((pi*K_soil*(h₂^2-h₁^2))/Q)
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Radial Distance 1 - (Measured in Meter) - Radial Distance 1 is the value of radial distance from well 1 when we have prior information of other parameters used.
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.
Coefficient of Permeability of Soil Particle - (Measured in Meter per Second) - Coefficient of Permeability of Soil Particle describes how easily a liquid will move through the soil.
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.

STEP 1: Convert Input(s) to Base Unit

Radial Distance at Observation Well 2: 10 Meter --> 10 Meter No Conversion Required
Coefficient of Permeability of Soil Particle: 0.001 Centimeter per Second --> 1E-05 Meter per Second (Check conversion here)
Depth of Water 2: 17.8644 Meter --> 17.8644 Meter No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R₁ = r₂/exp((pi*K_soil*(h₂^2-h₁^2))/Q) --> 10/exp((pi*1E-05*(17.8644^2-17.85^2))/1.01)

Evaluating ... ...

R₁ = 9.99984003282483

STEP 3: Convert Result to Output's Unit

9.99984003282483 Meter --> No Conversion Required

FINAL ANSWER

9.99984003282483 ≈ 9.99984 Meter <-- Radial Distance 1

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Water Resources : Ground Water » Well Hydraulics » Unconfined Aquifer » Radial Distance and Radius of well » Radial Distance of Well 1 based on Discharge of Two Wells under Consideration

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< 7 Radial Distance and Radius of well Calculators

Radial Distance of Well 2 based on Discharge of Two Wells under Consideration

Go Radial Distance at Well 2 = Radial Distance at Observation Well 1* exp((pi*Coefficient of Permeability of Soil Particle*(Depth of Water 2^2-Depth of Water 1^2))/Discharge)

Radial Distance of Well 1 based on Discharge of Two Wells under Consideration

Go Radial Distance 1 = Radial Distance at Observation Well 2/exp((pi*Coefficient of Permeability of Soil Particle*(Depth of Water 2^2-Depth of Water 1^2))/Discharge)

Radius of well based on Discharge in Unconfined Aquifer

Go Radius of well = Radius of Influence/exp((pi*Coefficient of Permeability of Soil Particle*(Initial Aquifer Thickness^2-Depth of Water^2))/Discharge)

Radius of Well given Discharge and Length of Strainer

Go Radius of well = Radius of Influence/(10^((2.72*Coefficient of Permeability of Soil Particle*Total Drawdown in Well*(Length of strainer+(Total Drawdown in Well/2)))/Discharge))

Radial Distance of Well 2 based on Discharge from Two Wells with Base 10

Go Radial Distance at Well 2 = Radial Distance at Observation Well 1* 10^((1.36*Coefficient of Permeability of Soil Particle*(Depth of Water 2^2-Depth of Water 1^2))/Discharge)

Radial Distance of Well 1 based on Discharge from Two Wells with Base 10

Go Radial Distance 1 = Radial Distance at Observation Well 2/10^((1.36*Coefficient of Permeability of Soil Particle*(Depth of Water 2^2-Depth of Water 1^2))/Discharge)

Radius of well based on Discharge in Unconfined Aquifer with Base 10

Go Radius of well = Radius of Influence/10^((1.36*Coefficient of Permeability of Soil Particle*(Initial Aquifer Thickness^2-Depth of Water^2))/Discharge)

Radial Distance of Well 1 based on Discharge of Two Wells under Consideration Formula

What is Radial Distance ?

The radial distance is also called the radius or radial coordinate. The polar angle may be called co atitude, zenith angle, normal angle, or inclination angle.

How to Calculate Radial Distance of Well 1 based on Discharge of Two Wells under Consideration?

Radial Distance of Well 1 based on Discharge of Two Wells under Consideration calculator uses Radial Distance 1 = Radial Distance at Observation Well 2/exp((pi*Coefficient of Permeability of Soil Particle*(Depth of Water 2^2-Depth of Water 1^2))/Discharge) to calculate the Radial Distance 1, The Radial Distance of Well 1 based on Discharge of Two Wells under Consideration is defined as the value of radial distance of well 1st when we have prior information of other parameters used. Radial Distance 1 is denoted by R₁ symbol.

How to calculate Radial Distance of Well 1 based on Discharge of Two Wells under Consideration using this online calculator? To use this online calculator for Radial Distance of Well 1 based on Discharge of Two Wells under Consideration, enter Radial Distance at Observation Well 2 (r₂), Coefficient of Permeability of Soil Particle (K_soil), Depth of Water 2 (h₂), Depth of Water 1 (h₁) & Discharge (Q) and hit the calculate button. Here is how the Radial Distance of Well 1 based on Discharge of Two Wells under Consideration calculation can be explained with given input values -> 9.99984 = 10/exp((pi*1E-05*(17.8644^2-17.85^2))/1.01).

FAQ

What is Radial Distance of Well 1 based on Discharge of Two Wells under Consideration?

The Radial Distance of Well 1 based on Discharge of Two Wells under Consideration is defined as the value of radial distance of well 1st when we have prior information of other parameters used and is represented as R₁ = r₂/exp((pi*K_soil*(h₂^2-h₁^2))/Q) or Radial Distance 1 = Radial Distance at Observation Well 2/exp((pi*Coefficient of Permeability of Soil Particle*(Depth of Water 2^2-Depth of Water 1^2))/Discharge). Radial Distance at Observation Well 2 is the value of radial distance from well 2 when we have prior information of other parameters used, Coefficient of Permeability of Soil Particle describes how easily a liquid will move through the soil, Depth of water 2 means the depth of the water in 2nd well, Depth of water 1 is the depth of water in the 1st considered well & Discharge is the rate of flow of a liquid.

How to calculate Radial Distance of Well 1 based on Discharge of Two Wells under Consideration?

The Radial Distance of Well 1 based on Discharge of Two Wells under Consideration is defined as the value of radial distance of well 1st when we have prior information of other parameters used is calculated using Radial Distance 1 = Radial Distance at Observation Well 2/exp((pi*Coefficient of Permeability of Soil Particle*(Depth of Water 2^2-Depth of Water 1^2))/Discharge). To calculate Radial Distance of Well 1 based on Discharge of Two Wells under Consideration, you need Radial Distance at Observation Well 2 (r₂), Coefficient of Permeability of Soil Particle (K_soil), Depth of Water 2 (h₂), Depth of Water 1 (h₁) & Discharge (Q). With our tool, you need to enter the respective value for Radial Distance at Observation Well 2, Coefficient of Permeability of Soil Particle, Depth of Water 2, Depth of Water 1 & Discharge 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 Radial Distance 1?

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

Radial Distance 1 = Radial Distance at Observation Well 2/10^((1.36*Coefficient of Permeability of Soil Particle*(Depth of Water 2^2-Depth of Water 1^2))/Discharge)

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