Drawdown at Well given Coefficient of Transmissibility Calculator

✖Discharge is the flow rate of water that is extracted from or injected into a well.ⓘ Discharge [Q]			+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%
✖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%

✖The Total Drawdown is defined as the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test.ⓘ Drawdown at Well given Coefficient of Transmissibility [s_t]

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Drawdown at Well given Coefficient of Transmissibility Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Drawdown = Discharge/((2*pi*Coefficient of Transmissibility)/(log((Radius of Influence/Radius of Well),e)))
s_t = Q/((2*pi*T_envi)/(log((R_w/r),e)))
This formula uses 2 Constants, 1 Functions, 5 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

Total Drawdown - (Measured in Meter) - The Total Drawdown is defined as the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the flow rate of water that is extracted from or injected into a well.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Coefficient of Transmissibility: 1.5 Square Meter per Second --> 1.5 Square 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

s_t = 0.783026218781276

STEP 3: Convert Result to Output's Unit

0.783026218781276 Meter --> No Conversion Required

FINAL ANSWER

0.783026218781276 ≈ 0.783026 Meter <-- Total Drawdown

(Calculation completed in 00.008 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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< Drawdown at well Calculators

Drawdown at Well given Confined Aquifer Discharge

LaTeX Go Total Drawdown in Well = Discharge/((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping)/(log((Radius of Influence/Radius of Well),e)))

Drawdown at Well given Confined Aquifer Discharge with Base 10

LaTeX Go Total Drawdown in Well = Discharge/((2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness)/(log((Radius of Influence/Radius of Well),10)))

Drawdown at Well given Coefficient of Transmissibility

LaTeX Go Total Drawdown = Discharge/((2*pi*Coefficient of Transmissibility)/(log((Radius of Influence/Radius of Well),e)))

Drawdown at Well given Coefficient of Transmissibility with Base 10

LaTeX Go Total Drawdown in Well = Discharge/((2.72*Coefficient of Transmissibility)/(log((Radius of Influence/Radius of Well),10)))

Drawdown at Well given Coefficient of Transmissibility Formula

LaTeX Go

Total Drawdown = Discharge/((2*pi*Coefficient of Transmissibility)/(log((Radius of Influence/Radius of Well),e)))
s_t = Q/((2*pi*T_envi)/(log((R_w/r),e)))

What is Drawdown?

A drawdown is a peak-to-trough decline during a specific period for an investment, trading account, or fund. A drawdown is usually quoted as the percentage between the peak and the subsequent trough.

How to Calculate Drawdown at Well given Coefficient of Transmissibility?

Drawdown at Well given Coefficient of Transmissibility calculator uses Total Drawdown = Discharge/((2*pi*Coefficient of Transmissibility)/(log((Radius of Influence/Radius of Well),e))) to calculate the Total Drawdown, The Drawdown at Well given Coefficient of Transmissibility formula is defined as the value of drawdown at well when we have prior information of coefficient of transmissibility. Total Drawdown is denoted by s_t symbol.

How to calculate Drawdown at Well given Coefficient of Transmissibility using this online calculator? To use this online calculator for Drawdown at Well given Coefficient of Transmissibility, enter Discharge (Q), Coefficient of Transmissibility (T_envi), Radius of Influence (R_w) & Radius of Well (r) and hit the calculate button. Here is how the Drawdown at Well given Coefficient of Transmissibility calculation can be explained with given input values -> 0.783026 = 1.01/((2*pi*1.5)/(log((8.6/7.5),e))).

FAQ

What is Drawdown at Well given Coefficient of Transmissibility?

The Drawdown at Well given Coefficient of Transmissibility formula is defined as the value of drawdown at well when we have prior information of coefficient of transmissibility and is represented as s_t = Q/((2*pi*T_envi)/(log((R_w/r),e))) or Total Drawdown = Discharge/((2*pi*Coefficient of Transmissibility)/(log((Radius of Influence/Radius of Well),e))). Discharge is the flow rate of water that is extracted from or injected into a well, Coefficient of Transmissibility is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer, 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.

How to calculate Drawdown at Well given Coefficient of Transmissibility?

The Drawdown at Well given Coefficient of Transmissibility formula is defined as the value of drawdown at well when we have prior information of coefficient of transmissibility is calculated using Total Drawdown = Discharge/((2*pi*Coefficient of Transmissibility)/(log((Radius of Influence/Radius of Well),e))). To calculate Drawdown at Well given Coefficient of Transmissibility, you need Discharge (Q), Coefficient of Transmissibility (T_envi), Radius of Influence (R_w) & Radius of Well (r). With our tool, you need to enter the respective value for Discharge, Coefficient of Transmissibility, Radius of Influence & Radius of Well 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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