Discharge about straight-line slope Solution

STEP 0: Pre-Calculation Summary
Formula Used
Discharge = 4*pi*Transmissibility*Slope/2.302
Q = 4*pi*T*m/2.302
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Discharge - (Measured in Cubic Meter per Second) - Discharge is 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.
Transmissibility - (Measured in Square Meter per Second) - 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.
Slope - Slope represents a straight line when plot of residual drawdown s' vs t/t' on semi-log paper.
STEP 1: Convert Input(s) to Base Unit
Transmissibility: 3.5 Square Meter per Second --> 3.5 Square Meter per Second No Conversion Required
Slope: 0.157 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = 4*pi*T*m/2.302 --> 4*pi*3.5*0.157/2.302
Evaluating ... ...
Q = 2.99966144769347
STEP 3: Convert Result to Output's Unit
2.99966144769347 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
2.99966144769347 2.999661 Cubic Meter per Second <-- Discharge
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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NSS College of Engineering (NSSCE), Palakkad
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5 Recovery of Piezometric Head Calculators

Equation for Residual Drawdown for small values of Distance and large values of Time
Go Residual Drawdown = (2.302*Discharge/4*pi*Transmissibility)*log10(Time from start of pump/Time since Stoppage of Pumping)
Equation for Residual Drawdown
Go Residual Drawdown = (Discharge/4*pi*Transmissibility)*(Well Function of u-Well Function after the Cessation of Pumping)
Transmissibility about straight-line slope
Go Transmissibility = 2.302*Discharge/(4*pi*Slope)
Equation for Slope of Line
Go Slope = 2.302*Discharge/(4*pi*Transmissibility)
Discharge about straight-line slope
Go Discharge = 4*pi*Transmissibility*Slope/2.302

Discharge about straight-line slope Formula

Discharge = 4*pi*Transmissibility*Slope/2.302
Q = 4*pi*T*m/2.302

What is Transmissivity in Hydrology?

Transmissivity describes the ability of the aquifer to transmit groundwater throughout its entire saturated thickness. Transmissivity is measured as the rate at which groundwater can flow through an aquifer section of unit width under a unit hydraulic gradient.

How to Calculate Discharge about straight-line slope?

Discharge about straight-line slope calculator uses Discharge = 4*pi*Transmissibility*Slope/2.302 to calculate the Discharge, The Discharge about straight-line slope is defined as the volumetric flow rate of water that is transported through a given cross-sectional area. Discharge is denoted by Q symbol.

How to calculate Discharge about straight-line slope using this online calculator? To use this online calculator for Discharge about straight-line slope, enter Transmissibility (T) & Slope (m) and hit the calculate button. Here is how the Discharge about straight-line slope calculation can be explained with given input values -> 2.999661 = 4*pi*3.5*0.157/2.302.

FAQ

What is Discharge about straight-line slope?
The Discharge about straight-line slope is defined as the volumetric flow rate of water that is transported through a given cross-sectional area and is represented as Q = 4*pi*T*m/2.302 or Discharge = 4*pi*Transmissibility*Slope/2.302. 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 & Slope represents a straight line when plot of residual drawdown s' vs t/t' on semi-log paper.
How to calculate Discharge about straight-line slope?
The Discharge about straight-line slope is defined as the volumetric flow rate of water that is transported through a given cross-sectional area is calculated using Discharge = 4*pi*Transmissibility*Slope/2.302. To calculate Discharge about straight-line slope, you need Transmissibility (T) & Slope (m). With our tool, you need to enter the respective value for Transmissibility & Slope 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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