Depth of Water in 1st Well given Coefficient of Transmissibility Calculator

✖Depth of water 2 means the depth of the water in 2nd well.ⓘ Depth of Water 2 [h₂]			+10% -10%
✖Discharge is the flow rate of water that is extracted from or injected into a well.ⓘ 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 Transmissibility is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer.ⓘ Coefficient of Transmissibility [T_envi]			+10% -10%

✖Depth of Water 1 is the depth of water in the 1st considered well.ⓘ Depth of Water in 1st Well given Coefficient of Transmissibility [h₁]

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Depth of Water in 1st Well given Coefficient of Transmissibility Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
h₁ = h₂-((Q*log((r₂/r₁),10))/(2.72*T_envi))
This formula uses 1 Functions, 6 Variables

Functions Used

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

Variables Used

Depth of Water 1 - (Measured in Meter) - Depth of Water 1 is the depth of water in the 1st considered well.
Depth of Water 2 - (Measured in Meter) - Depth of water 2 means the depth of the water in 2nd well.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the flow rate of water that is extracted from or injected into a well.
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 Transmissibility - (Measured in Square Meter per Second) - Coefficient of Transmissibility is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer.

STEP 1: Convert Input(s) to Base Unit

Depth of Water 2: 17.8644 Meter --> 17.8644 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 Transmissibility: 1.5 Square Meter per Second --> 1.5 Square Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h₁ = h₂-((Q*log((r₂/r₁),10))/(2.72*T_envi)) --> 17.8644-((1.01*log((10/1.07),10))/(2.72*1.5))

Evaluating ... ...

h₁ = 17.6093568491474

STEP 3: Convert Result to Output's Unit

17.6093568491474 Meter --> No Conversion Required

FINAL ANSWER

17.6093568491474 ≈ 17.60936 Meter <-- Depth of Water 1

(Calculation completed in 00.007 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< Depth of Water in Well Calculators

Depth of Water in Well given Discharge in Confined Aquifer

LaTeX 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 Well given Coefficient of Transmissibility

LaTeX 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

LaTeX 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 Well given Coefficient of Transmissibility with Base 10

LaTeX 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 1st Well given Coefficient of Transmissibility Formula

LaTeX Go

What is Coefficient of Transmissibility?

The coefficient of transmissibility. is defined as the rate of flow of water. in gallons per day through a vertical. strip of the aquifer 1 ft wide and ex- tending the full saturated thickness.

How to Calculate Depth of Water in 1st Well given Coefficient of Transmissibility?

Depth of Water in 1st Well given Coefficient of Transmissibility calculator uses 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)) to calculate the Depth of Water 1, The Depth of Water in 1st Well given Coefficient of Transmissibility formula is defined as the calculation of the depth of water in 1st well when we have prior information of coefficient of transmissibility. Depth of Water 1 is denoted by h₁ symbol.

How to calculate Depth of Water in 1st Well given Coefficient of Transmissibility using this online calculator? To use this online calculator for Depth of Water in 1st Well given Coefficient of Transmissibility, enter Depth of Water 2 (h₂), Discharge (Q), Radial Distance at Observation Well 2 (r₂), Radial Distance at Observation Well 1 (r₁) & Coefficient of Transmissibility (T_envi) and hit the calculate button. Here is how the Depth of Water in 1st Well given Coefficient of Transmissibility calculation can be explained with given input values -> 17.60936 = 17.8644-((1.01*log((10/1.07),10))/(2.72*1.5)).

FAQ

What is Depth of Water in 1st Well given Coefficient of Transmissibility?

The Depth of Water in 1st Well given Coefficient of Transmissibility formula is defined as the calculation of the depth of water in 1st well when we have prior information of coefficient of transmissibility and is represented as h₁ = h₂-((Q*log((r₂/r₁),10))/(2.72*T_envi)) or 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 2 means the depth of the water in 2nd well, Discharge is the flow rate of water that is extracted from or injected into a well, 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 Transmissibility is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer.

How to calculate Depth of Water in 1st Well given Coefficient of Transmissibility?

The Depth of Water in 1st Well given Coefficient of Transmissibility formula is defined as the calculation of the depth of water in 1st well when we have prior information of coefficient of transmissibility is calculated using 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)). To calculate Depth of Water in 1st Well given Coefficient of Transmissibility, you need Depth of Water 2 (h₂), Discharge (Q), Radial Distance at Observation Well 2 (r₂), Radial Distance at Observation Well 1 (r₁) & Coefficient of Transmissibility (T_envi). With our tool, you need to enter the respective value for Depth of Water 2, Discharge, Radial Distance at Observation Well 2, Radial Distance at Observation Well 1 & Coefficient of Transmissibility 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 1?

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

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))

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