Depth of Water in Well given Coefficient of Transmissibility Calculator

✖Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping.ⓘ Initial Aquifer Thickness [H_i]			+10% -10%
✖Discharge is the flow rate of water that is extracted from or injected into a well.ⓘ Discharge [Q]			+10% -10%
✖Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.ⓘ Radius of Influence [R_w]			+10% -10%
✖Radius of Well is defined as the distance from center of well to its outer boundary.ⓘ Radius of Well [r]			+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 is the depth in the well measured above the impermeable layer.ⓘ Depth of Water in Well given Coefficient of Transmissibility [h_w]

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Depth of Water in Well given Coefficient of Transmissibility Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Water = Initial Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Transmissibility))
h_w = H_i-((Q*log((R_w/r),e))/(2*pi*T_envi))
This formula uses 2 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Functions Used

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

Variables Used

Depth of Water - (Measured in Meter) - Depth of Water is the depth in the well measured above the impermeable layer.
Initial Aquifer Thickness - (Measured in Meter) - Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the flow rate of water that is extracted from or injected into a well.
Radius of Influence - (Measured in Meter) - Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.
Radius of Well - (Measured in Meter) - Radius of Well is defined as the distance from center of well to its outer boundary.
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

Initial Aquifer Thickness: 2.48 Meter --> 2.48 Meter No Conversion Required
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Radius of Influence: 8.6 Meter --> 8.6 Meter No Conversion Required
Radius of Well: 7.5 Meter --> 7.5 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

h_w = H_i-((Q*log((R_w/r),e))/(2*pi*T_envi)) --> 2.48-((1.01*log((8.6/7.5),e))/(2*pi*1.5))

Evaluating ... ...

h_w = 1.69697378121872

STEP 3: Convert Result to Output's Unit

1.69697378121872 Meter --> No Conversion Required

FINAL ANSWER

1.69697378121872 ≈ 1.696974 Meter <-- Depth of Water

(Calculation completed in 00.020 seconds)

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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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< 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 Well given Coefficient of Transmissibility Formula

LaTeX Go

Depth of Water = Initial Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Transmissibility))
h_w = H_i-((Q*log((R_w/r),e))/(2*pi*T_envi))

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 Well given Coefficient of Transmissibility?

Depth of Water in Well given Coefficient of Transmissibility calculator uses Depth of Water = Initial Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Transmissibility)) to calculate the Depth of Water, The Depth of Water in Well given Coefficient of Transmissibility formula is defined as the calculation of depth of water in well when we have prior information of coefficient of transmissibility. Depth of Water is denoted by h_w symbol.

How to calculate Depth of Water in Well given Coefficient of Transmissibility using this online calculator? To use this online calculator for Depth of Water in Well given Coefficient of Transmissibility, enter Initial Aquifer Thickness (H_i), Discharge (Q), Radius of Influence (R_w), Radius of Well (r) & Coefficient of Transmissibility (T_envi) and hit the calculate button. Here is how the Depth of Water in Well given Coefficient of Transmissibility calculation can be explained with given input values -> 1.756974 = 2.48-((1.01*log((8.6/7.5),e))/(2*pi*1.5)).

FAQ

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

The Depth of Water in Well given Coefficient of Transmissibility formula is defined as the calculation of depth of water in well when we have prior information of coefficient of transmissibility and is represented as h_w = H_i-((Q*log((R_w/r),e))/(2*pi*T_envi)) or Depth of Water = Initial Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Transmissibility)). Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping, Discharge is the flow rate of water that is extracted from or injected into a well, Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table, Radius of Well is defined as the distance from center of well to its outer boundary & 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 Well given Coefficient of Transmissibility?

The Depth of Water in Well given Coefficient of Transmissibility formula is defined as the calculation of depth of water in well when we have prior information of coefficient of transmissibility is calculated using Depth of Water = Initial Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Transmissibility)). To calculate Depth of Water in Well given Coefficient of Transmissibility, you need Initial Aquifer Thickness (H_i), Discharge (Q), Radius of Influence (R_w), Radius of Well (r) & Coefficient of Transmissibility (T_envi). With our tool, you need to enter the respective value for Initial Aquifer Thickness, Discharge, Radius of Influence, Radius of Well & Coefficient of Transmissibility and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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