Equation for Well Function series to number of 4 digits Calculator

✖Well Parameter is the characteristics and property that govern how water levels in a well change over time when water is being pumped.ⓘ Well Parameter [u]

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✖Well Function of u is the data plot of drawdown versus time (or drawdown versus t/rz) is matched to the type of curve of W(u) versus 1/u.ⓘ Equation for Well Function series to number of 4 digits [W_u]

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Formula

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Equation for Well Function series to number of 4 digits

Formula

W u = - 0.577216 - \ln (u) + u - (\frac{u^{2}}{2.2}!) + (\frac{u^{3}}{3.3}!)

Example

1.584921 = - 0.577216 - \ln (0.13) + 0.13 - (\frac{{0.13}^{2}}{2.2}!) + (\frac{{0.13}^{3}}{3.3}!)

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Equation for Well Function series to number of 4 digits Solution

STEP 0: Pre-Calculation Summary

Formula Used

Well Function of u = -0.577216-ln(Well Parameter)+Well Parameter-(Well Parameter^2/2.2!)+(Well Parameter^3/3.3!)
W_u = -0.577216-ln(u)+u-(u^2/2.2!)+(u^3/3.3!)
This formula uses 1 Functions, 2 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

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 of curve of W(u) versus 1/u.
Well Parameter - Well Parameter is the characteristics and property that govern how water levels in a well change over time when water is being pumped.

STEP 1: Convert Input(s) to Base Unit

Well Parameter: 0.13 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_u = -0.577216-ln(u)+u-(u^2/2.2!)+(u^3/3.3!) --> -0.577216-ln(0.13)+0.13-(0.13^2/2.2!)+(0.13^3/3.3!)

Evaluating ... ...

W_u = 1.58492099519322

STEP 3: Convert Result to Output's Unit

1.58492099519322 --> No Conversion Required

FINAL ANSWER

1.58492099519322 ≈ 1.584921 <-- Well Function of u

(Calculation completed in 00.004 seconds)

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< Unsteady Flow in a Confined Aquifer Calculators

Drawdown

Go Total Drawdown = (Discharge/(4*pi*Transmissivity))*ln((2.2*Transmissivity*Time Period)/(Distance from Pumping Well^2*Storage Coefficient))

Drawdown at Time Interval 't1'

Go Drawdown at Time Interval t1 = Drawdown at Time Interval t2-((Discharge/(4*pi*Transmissivity))*ln(Time of Drawdown (t2)/Time of Drawdown (t1)))

Drawdown at Time Interval 't2'

Go Drawdown at Time Interval t2 = ((Discharge/(4*pi*Transmissivity))*ln(Time of Drawdown (t2)/Time of Drawdown (t1)))+Drawdown at Time Interval t1

Equation for Storage Coefficient

Go Storage Coefficient = 2.25*Transmissivity*Starting Time/Distance from Pumping Well^2

Equation for Well Function series to number of 4 digits Formula

Well Function of u = -0.577216-ln(Well Parameter)+Well Parameter-(Well Parameter^2/2.2!)+(Well Parameter^3/3.3!)
W_u = -0.577216-ln(u)+u-(u^2/2.2!)+(u^3/3.3!)

What is Drawdown in Hydrology?

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

How to Calculate Equation for Well Function series to number of 4 digits?

Equation for Well Function series to number of 4 digits calculator uses Well Function of u = -0.577216-ln(Well Parameter)+Well Parameter-(Well Parameter^2/2.2!)+(Well Parameter^3/3.3!) to calculate the Well Function of u, The Equation for Well Function series to number of 4 digits formula is defined as the equation which is crucial in groundwater hydrology for analyzing pumping tests, designing wells, managing groundwater resources, and modeling aquifer behavior. Its applications are fundamental to ensuring the sustainable use of groundwater in engineering practices. Well Function of u is denoted by W_u symbol.

How to calculate Equation for Well Function series to number of 4 digits using this online calculator? To use this online calculator for Equation for Well Function series to number of 4 digits, enter Well Parameter (u) and hit the calculate button. Here is how the Equation for Well Function series to number of 4 digits calculation can be explained with given input values -> 0.38961 = -0.577216-ln(0.13)+0.13-(0.13^2/2.2!)+(0.13^3/3.3!).

FAQ

What is Equation for Well Function series to number of 4 digits?

The Equation for Well Function series to number of 4 digits formula is defined as the equation which is crucial in groundwater hydrology for analyzing pumping tests, designing wells, managing groundwater resources, and modeling aquifer behavior. Its applications are fundamental to ensuring the sustainable use of groundwater in engineering practices and is represented as W_u = -0.577216-ln(u)+u-(u^2/2.2!)+(u^3/3.3!) or Well Function of u = -0.577216-ln(Well Parameter)+Well Parameter-(Well Parameter^2/2.2!)+(Well Parameter^3/3.3!). Well Parameter is the characteristics and property that govern how water levels in a well change over time when water is being pumped.

How to calculate Equation for Well Function series to number of 4 digits?

The Equation for Well Function series to number of 4 digits formula is defined as the equation which is crucial in groundwater hydrology for analyzing pumping tests, designing wells, managing groundwater resources, and modeling aquifer behavior. Its applications are fundamental to ensuring the sustainable use of groundwater in engineering practices is calculated using Well Function of u = -0.577216-ln(Well Parameter)+Well Parameter-(Well Parameter^2/2.2!)+(Well Parameter^3/3.3!). To calculate Equation for Well Function series to number of 4 digits, you need Well Parameter (u). With our tool, you need to enter the respective value for Well Parameter 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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