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Equation for Well Function series to number of 4 digits Formula

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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. Check FAQs

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

W_u - Well Function of u?u - Well Parameter?

Equation for Well Function series to number of 4 digits Example

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Here is how the Equation for Well Function series to number of 4 digits equation looks like with Values.

Here is how the Equation for Well Function series to number of 4 digits equation looks like with Units.

Here is how the Equation for Well Function series to number of 4 digits equation looks like.

1.5849 = - 0.577216 - \ln (0.13) + 0.13 - (\frac{{0.13}^{2}}{2.2}!) + (\frac{{0.13}^{3}}{3.3}!)

1.5849 = - 0.577216 - \ln (0.13) + 0.13 - (\frac{{0.13}^{2}}{2.2}!) + (\frac{{0.13}^{3}}{3.3}!)

1.5849 = - 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

Follow our step by step solution on how to calculate Equation for Well Function series to number of 4 digits?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

W u = 1.58492099519322

LAST Step Rounding Answer

∴

W u = 1.5849

Equation for Well Function series to number of 4 digits Formula Elements

Variables

Functions

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.

Symbol: W_u

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Well Function of 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.

Symbol: u

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Well Parameter

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Unsteady Flow in a Confined Aquifer category

Go Drawdown

s t = (\frac{Q}{4 \cdot π \cdot T}) \cdot \ln (\frac{2.2 \cdot T \cdot t}{r^{2} \cdot S})

Go Drawdown at Time Interval 't1'

s 1 = s 2 - ((\frac{Q}{4 \cdot π \cdot T}) \cdot \ln (\frac{t 2}{t 1}))

Go Drawdown at Time Interval 't2'

s 2 = ((\frac{Q}{4 \cdot π \cdot T}) \cdot \ln (\frac{t 2}{t 1})) + s 1

Go Equation for Storage Coefficient

S = 2.25 \cdot T \cdot \frac{t 0}{r^{2}}

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

Equation for Well Function series to number of 4 digits evaluator uses Well Function of u = -0.577216-ln(Well Parameter)+Well Parameter-(Well Parameter^2/2.2!)+(Well Parameter^3/3.3!) to evaluate 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 evaluate Equation for Well Function series to number of 4 digits using this online evaluator? To use this online evaluator for Equation for Well Function series to number of 4 digits, enter Well Parameter (u) and hit the calculate button.

FAQs on Equation for Well Function series to number of 4 digits

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

The formula of Equation for Well Function series to number of 4 digits is expressed as Well Function of u = -0.577216-ln(Well Parameter)+Well Parameter-(Well Parameter^2/2.2!)+(Well Parameter^3/3.3!). Here is an example- 0.38961 = -0.577216-ln(0.13)+0.13-(0.13^2/2.2!)+(0.13^3/3.3!).

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

With Well Parameter (u) we can find Equation for Well Function series to number of 4 digits using the formula - Well Function of u = -0.577216-ln(Well Parameter)+Well Parameter-(Well Parameter^2/2.2!)+(Well Parameter^3/3.3!). This formula also uses Natural Logarithm (ln) function(s).

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