Drawdown given Well Function Calculator

✖Discharge is the rate of flow of a fluid in unsteady flow.ⓘ Discharge [Q]			+10% -10%
✖Well Function of u is the data plot of drawdown versus time (or drawdown versus t/rz) is matched to the type curve of W(u) versus 1/u.ⓘ Well Function of u [W_u]			+10% -10%
✖Formation Constant for Unsteady Flow is an equilibrium constant for the formation of a complex in solution.ⓘ Formation Constant for Unsteady Flow [F_c]			+10% -10%

✖Total Drawdown in Well 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 given Well Function [s_t]

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Drawdown given Well Function Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Drawdown in Well = (Discharge*Well Function of u)/(4*pi*Formation Constant for Unsteady Flow)
s_t = (Q*W_u)/(4*pi*F_c)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Total Drawdown in Well - (Measured in Meter) - Total Drawdown in Well 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 rate of flow of a fluid in unsteady flow.
Well Function of u - Well Function of u is the data plot of drawdown versus time (or drawdown versus t/rz) is matched to the type curve of W(u) versus 1/u.
Formation Constant for Unsteady Flow - (Measured in Square Meter per Second) - Formation Constant for Unsteady Flow is an equilibrium constant for the formation of a complex in solution.

STEP 1: Convert Input(s) to Base Unit

Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Well Function of u: 8.35 --> No Conversion Required
Formation Constant for Unsteady Flow: 0.8 Square Meter per Second --> 0.8 Square Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s_t = (Q*W_u)/(4*pi*F_c) --> (1.01*8.35)/(4*pi*0.8)

Evaluating ... ...

s_t = 0.838895757853437

STEP 3: Convert Result to Output's Unit

0.838895757853437 Meter --> No Conversion Required

FINAL ANSWER

0.838895757853437 ≈ 0.838896 Meter <-- Total Drawdown in Well

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Drawdown and Change in Drawdown Calculators

Change in Drawdown given Time at 1st and 2nd Instance

LaTeX Go Difference in Drawdowns = (2.303*Discharge*log((Time of Drawdown/Time of Drawdown (t1)),10))/(4*pi*Time in Hours for Well Discharge)

Drawdown given Well Function

LaTeX Go Total Drawdown in Well = (Discharge*Well Function of u)/(4*pi*Formation Constant for Unsteady Flow)

Change in Drawdown given Formation Constant T

LaTeX Go Change in Drawdown = (2.303*Discharge)/(4*pi*Formation Constant for Unsteady Flow)

Chow's Function given Drawdown

LaTeX Go Chow's Function = Total Drawdown in Well/Change in Drawdown

Drawdown given Well Function Formula

LaTeX Go

Total Drawdown in Well = (Discharge*Well Function of u)/(4*pi*Formation Constant for Unsteady Flow)
s_t = (Q*W_u)/(4*pi*F_c)

What is Discharge?

The amount of fluid passing a section of a stream in unit time is called the discharge. If v is the mean velocity and A is the cross sectional area, the discharge Q is defined by Q = Av which is known as volume flow rate.

How to Calculate Drawdown given Well Function?

Drawdown given Well Function calculator uses Total Drawdown in Well = (Discharge*Well Function of u)/(4*pi*Formation Constant for Unsteady Flow) to calculate the Total Drawdown in Well, Drawdown given Well Function formula is defined as a measure of the decline in hydraulic head at an observation well in an unconfined aquifer during pumping, which helps to analyze the response of the aquifer to pumping and determine the hydraulic properties of the aquifer. Total Drawdown in Well is denoted by s_t symbol.

How to calculate Drawdown given Well Function using this online calculator? To use this online calculator for Drawdown given Well Function, enter Discharge (Q), Well Function of u (W_u) & Formation Constant for Unsteady Flow (F_c) and hit the calculate button. Here is how the Drawdown given Well Function calculation can be explained with given input values -> 0.828539 = (1.01*8.35)/(4*pi*0.8).

FAQ

What is Drawdown given Well Function?

Drawdown given Well Function formula is defined as a measure of the decline in hydraulic head at an observation well in an unconfined aquifer during pumping, which helps to analyze the response of the aquifer to pumping and determine the hydraulic properties of the aquifer and is represented as s_t = (Q*W_u)/(4*pi*F_c) or Total Drawdown in Well = (Discharge*Well Function of u)/(4*pi*Formation Constant for Unsteady Flow). Discharge is the rate of flow of a fluid in unsteady flow, Well Function of u is the data plot of drawdown versus time (or drawdown versus t/rz) is matched to the type curve of W(u) versus 1/u & Formation Constant for Unsteady Flow is an equilibrium constant for the formation of a complex in solution.

How to calculate Drawdown given Well Function?

Drawdown given Well Function formula is defined as a measure of the decline in hydraulic head at an observation well in an unconfined aquifer during pumping, which helps to analyze the response of the aquifer to pumping and determine the hydraulic properties of the aquifer is calculated using Total Drawdown in Well = (Discharge*Well Function of u)/(4*pi*Formation Constant for Unsteady Flow). To calculate Drawdown given Well Function, you need Discharge (Q), Well Function of u (W_u) & Formation Constant for Unsteady Flow (F_c). With our tool, you need to enter the respective value for Discharge, Well Function of u & Formation Constant for Unsteady Flow 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 Total Drawdown in Well?

In this formula, Total Drawdown in Well uses Discharge, Well Function of u & Formation Constant for Unsteady Flow. We can use 1 other way(s) to calculate the same, which is/are as follows -

Total Drawdown in Well = Chow's Function*Change in Drawdown

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