Well Function given Drawdown Calculator

✖Formation Constant T given Change in Drawdown is defined as the difference at the two wells.ⓘ Formation Constant T given Change in Drawdown [F_T]			+10% -10%
✖The 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.ⓘ Total Drawdown in Well [s_t]			+10% -10%
✖Discharge is the rate of flow of a liquid.ⓘ 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 given Drawdown [W_u]

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Formula

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Well Function given Drawdown

Formula

`"W"_{"u"} = (4*pi*"F"_{"T"}*"s"_{"t"})/"Q"`

Example

`"8.302763"=(4*pi*"0.804m²/s"*"0.83m")/"1.01m³/s"`

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Well Function given Drawdown Solution

STEP 0: Pre-Calculation Summary

Formula Used

Well Function of u = (4*pi*Formation Constant T given Change in Drawdown*Total Drawdown in Well)/Discharge
W_u = (4*pi*F_T*s_t)/Q
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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 T given Change in Drawdown - (Measured in Square Meter per Second) - Formation Constant T given Change in Drawdown is defined as the difference at the two wells.
Total Drawdown in Well - (Measured in Meter) - The 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 liquid.

STEP 1: Convert Input(s) to Base Unit

Formation Constant T given Change in Drawdown: 0.804 Square Meter per Second --> 0.804 Square Meter per Second No Conversion Required
Total Drawdown in Well: 0.83 Meter --> 0.83 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

W_u = (4*pi*F_T*s_t)/Q --> (4*pi*0.804*0.83)/1.01

Evaluating ... ...

W_u = 8.30276281027145

STEP 3: Convert Result to Output's Unit

8.30276281027145 --> No Conversion Required

FINAL ANSWER

8.30276281027145 ≈ 8.302763 <-- Well Function of u

(Calculation completed in 00.004 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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< 3 Well Function Calculators

Well Function given Drawdown

Go Well Function of u = (4*pi*Formation Constant T given Change in Drawdown*Total Drawdown in Well)/Discharge

Well Function given Constant dependent on Well Function and Chow's Function

Go Well Function of u = (2.303*Chow's Function)/exp(Well Function Constant)

Well Function given Chow's Function

Go Well Function of u = Chow's Function*2.303

Well Function given Drawdown Formula

Well Function of u = (4*pi*Formation Constant T given Change in Drawdown*Total Drawdown in Well)/Discharge
W_u = (4*pi*F_T*s_t)/Q

What is Drawdown?

Drawdown is a change in groundwater level due to an applied stress, caused by events such as: Pumping from a well. Pumping from a neighbouring well. Intensive water taking from local area.

How to Calculate Well Function given Drawdown?

Well Function given Drawdown calculator uses Well Function of u = (4*pi*Formation Constant T given Change in Drawdown*Total Drawdown in Well)/Discharge to calculate the Well Function of u, The Well Function given Drawdown is defined as the value of well function when we have prior information of other parameters used. Well Function of u is denoted by W_u symbol.

How to calculate Well Function given Drawdown using this online calculator? To use this online calculator for Well Function given Drawdown, enter Formation Constant T given Change in Drawdown (F_T), Total Drawdown in Well (s_t) & Discharge (Q) and hit the calculate button. Here is how the Well Function given Drawdown calculation can be explained with given input values -> 1.010336 = (4*pi*0.804*0.83)/1.01.

FAQ

What is Well Function given Drawdown?

The Well Function given Drawdown is defined as the value of well function when we have prior information of other parameters used and is represented as W_u = (4*pi*F_T*s_t)/Q or Well Function of u = (4*pi*Formation Constant T given Change in Drawdown*Total Drawdown in Well)/Discharge. Formation Constant T given Change in Drawdown is defined as the difference at the two wells, The 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 is the rate of flow of a liquid.

How to calculate Well Function given Drawdown?

The Well Function given Drawdown is defined as the value of well function when we have prior information of other parameters used is calculated using Well Function of u = (4*pi*Formation Constant T given Change in Drawdown*Total Drawdown in Well)/Discharge. To calculate Well Function given Drawdown, you need Formation Constant T given Change in Drawdown (F_T), Total Drawdown in Well (s_t) & Discharge (Q). With our tool, you need to enter the respective value for Formation Constant T given Change in Drawdown, Total Drawdown in Well & 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 Well Function of u?

In this formula, Well Function of u uses Formation Constant T given Change in Drawdown, Total Drawdown in Well & Discharge. We can use 2 other way(s) to calculate the same, which is/are as follows -

Well Function of u = Chow's Function*2.303
Well Function of u = (2.303*Chow's Function)/exp(Well Function Constant)

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