Equation for Slope of Line Formula

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Slope represents a straight line when plot of residual drawdown s' vs t/t' on semi-log paper. Check FAQs
m=2.302Q4πT
m - Slope?Q - Discharge?T - Transmissibility?π - Archimedes' constant?

Equation for Slope of Line Example

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Here is how the Equation for Slope of Line equation looks like with Values.

Here is how the Equation for Slope of Line equation looks like with Units.

Here is how the Equation for Slope of Line equation looks like.

0.157Edit=2.3023Edit43.14163.5Edit
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Equation for Slope of Line Solution

Follow our step by step solution on how to calculate Equation for Slope of Line?

FIRST Step Consider the formula
m=2.302Q4πT
Next Step Substitute values of Variables
m=2.3023m³/s4π3.5m²/s
Next Step Substitute values of Constants
m=2.3023m³/s43.14163.5m²/s
Next Step Prepare to Evaluate
m=2.302343.14163.5
Next Step Evaluate
m=0.157017719570376
LAST Step Rounding Answer
m=0.157

Equation for Slope of Line Formula Elements

Variables
Constants
Slope
Slope represents a straight line when plot of residual drawdown s' vs t/t' on semi-log paper.
Symbol: m
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Discharge
The Discharge refers to the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.
Symbol: Q
Measurement: Volumetric Flow RateUnit: m³/s
Note: Value should be greater than 0.
Transmissibility
Transmissibility is most simply defined as the effective hydraulic conductivity of an aquifer or other water-bearing unit multiplied by the thickness of that unit.
Symbol: T
Measurement: Kinematic ViscosityUnit: m²/s
Note: Value can be positive or negative.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288

Other formulas in Recovery of Piezometric Head category

​Go Equation for Residual Drawdown
s'=(Q4πT)(Wu-Wu')
​Go Equation for Residual Drawdown for small values of Distance and large values of Time
s'=(2.302Q4πT)log10(tt')
​Go Discharge about straight-line slope
Q=4πTm2.302
​Go Transmissibility about straight-line slope
T=2.302Q4πm

How to Evaluate Equation for Slope of Line?

Equation for Slope of Line evaluator uses Slope = 2.302*Discharge/(4*pi*Transmissibility) to evaluate the Slope, Equation for Slope of Line is defined from the plot of residual drawdown against the ratio of time of pumping and time since stoppage of pumping on semi-log. Slope is denoted by m symbol.

How to evaluate Equation for Slope of Line using this online evaluator? To use this online evaluator for Equation for Slope of Line, enter Discharge (Q) & Transmissibility (T) and hit the calculate button.

FAQs on Equation for Slope of Line

What is the formula to find Equation for Slope of Line?
The formula of Equation for Slope of Line is expressed as Slope = 2.302*Discharge/(4*pi*Transmissibility). Here is an example- 0.157018 = 2.302*3/(4*pi*3.5).
How to calculate Equation for Slope of Line?
With Discharge (Q) & Transmissibility (T) we can find Equation for Slope of Line using the formula - Slope = 2.302*Discharge/(4*pi*Transmissibility). This formula also uses Archimedes' constant .
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