Correction Factor given Height of Surface Waves based on Subsurface Measurements Calculator

✖Elevation of Water Surface relative to the SWL, Standing Water Level recorded for the water well.ⓘ Elevation of Water Surface [η]			+10% -10%
✖Mass Density is a physical quantity that represents the mass of a substance per unit volume.ⓘ Mass Density [ρ]			+10% -10%
✖Pressure Response Factor is obtained from linear theory and takes into account pressure due to wave motion.ⓘ Pressure Response Factor [K]			+10% -10%
✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure [p]			+10% -10%
✖Depth below the SWL of Pressure Gauge is defined as the bottom level with reference to the water depth.ⓘ Depth below the SWL of Pressure Gauge [z]			+10% -10%

✖Correction Factor is that which is multiplied with the result of an equation to correct for a known amount of systematic error.ⓘ Correction Factor given Height of Surface Waves based on Subsurface Measurements [f]

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Formula

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Correction Factor given Height of Surface Waves based on Subsurface Measurements

Formula

`"f" = "η"*"ρ"*"[g]"*"K"/("p"+("ρ"*"[g]"*"z"))`

Example

`"0.199673"="100m"*"997kg/m³"*"[g]"*"0.1"/("800Pa"+("997kg/m³"*"[g]"*"50m"))`

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Correction Factor given Height of Surface Waves based on Subsurface Measurements Solution

STEP 0: Pre-Calculation Summary

Formula Used

Correction Factor = Elevation of Water Surface*Mass Density*[g]*Pressure Response Factor/(Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))
f = η*ρ*[g]*K/(p+(ρ*[g]*z))
This formula uses 1 Constants, 6 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Correction Factor - Correction Factor is that which is multiplied with the result of an equation to correct for a known amount of systematic error.
Elevation of Water Surface - (Measured in Meter) - Elevation of Water Surface relative to the SWL, Standing Water Level recorded for the water well.
Mass Density - (Measured in Kilogram per Cubic Meter) - Mass Density is a physical quantity that represents the mass of a substance per unit volume.
Pressure Response Factor - Pressure Response Factor is obtained from linear theory and takes into account pressure due to wave motion.
Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Depth below the SWL of Pressure Gauge - (Measured in Meter) - Depth below the SWL of Pressure Gauge is defined as the bottom level with reference to the water depth.

STEP 1: Convert Input(s) to Base Unit

Elevation of Water Surface: 100 Meter --> 100 Meter No Conversion Required
Mass Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Pressure Response Factor: 0.1 --> No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Depth below the SWL of Pressure Gauge: 50 Meter --> 50 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = η*ρ*[g]*K/(p+(ρ*[g]*z)) --> 100*997*[g]*0.1/(800+(997*[g]*50))

Evaluating ... ...

f = 0.199673243660808

STEP 3: Convert Result to Output's Unit

0.199673243660808 --> No Conversion Required

FINAL ANSWER

0.199673243660808 ≈ 0.199673 <-- Correction Factor

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Water Wave Mechanics » Subsurface Pressure » Pressure Component » Correction Factor given Height of Surface Waves based on Subsurface Measurements

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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National Institute of Technology (NIT), Warangal

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< 16 Pressure Component Calculators

Water Surface Elevation of Two Sinusoidal Wave

Go Elevation of Water Surface = (Wave Height/2)*cos((2*pi*Spatial (Progressive Wave)/Wavelength of Component Wave 1)-(2*pi*Temporal (Progressive Wave)/Wave Period of Component Wave 1))+(Wave Height/2)*cos((2*pi*Spatial (Progressive Wave)/Wavelength of Component Wave 2)-(2*pi*Temporal (Progressive Wave)/Wave Period of Component Wave 2))

Phase Angle for Total or Absolute Pressure

Go Phase Angle = acos((Absolute Pressure+(Mass Density*[g]*Seabed Elevation)-(Atmospheric Pressure))/((Mass Density*[g]*Wave Height*cosh(2*pi*(Distance above the Bottom)/Wavelength))/(2*cosh(2*pi*Water Depth/Wavelength))))

Atmospheric Pressure given Total or Absolute Pressure

Go Atmospheric pressure = Absolute pressure-(Mass Density*[g]*Wave Height*cosh(2*pi*(Distance above the Bottom)/Wavelength))*cos(Phase Angle)/(2*cosh(2*pi*Water Depth/Wavelength))+(Mass Density*[g]*Seabed Elevation)

Total or Absolute Pressure

Go Absolute pressure = (Mass Density*[g]*Wave Height*cosh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle)/2*cosh(2*pi*Water Depth/Wavelength))-(Mass Density*[g]*Seabed Elevation)+Atmospheric Pressure

Dynamic Component due to Acceleration from Absolute Pressure Equation

Go Dynamic Component due to Acceleration = (Mass Density*[g]*Wave Height*cosh(2*pi*(Distance above the Bottom)/Wavelength))*cos(Phase Angle)/(2*cosh(2*pi*Water Depth/Wavelength))

Height of Surface Waves based on Subsurface Measurements

Go Elevation of Water Surface = Correction Factor*(Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))/(Mass Density*[g]*Pressure Response Factor)

Correction Factor given Height of Surface Waves based on Subsurface Measurements

Go Correction Factor = Elevation of Water Surface*Mass Density*[g]*Pressure Response Factor/(Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))

Depth below SWL of Pressure Gauge

Go Depth below the SWL of Pressure Gauge = ((Elevation of Water Surface*Mass Density*[g]*Pressure Response Factor/Correction Factor)-Pressure)/Mass Density*[g]

Friction Velocity given Dimensionless Time

Go Friction Velocity = ([g]*Time for Dimensionless Parameter Calculation)/Dimensionless Time

Water Surface Elevation

Go Elevation of Water Surface = (Wave Height/2)*cos(Phase Angle)

Wave celerity for shallow water given water depth

Go Celerity of the Wave = sqrt([g]*Water Depth)

Atmospheric Pressure given Gauge Pressure

Go Atmospheric Pressure = Absolute Pressure-Gauge Pressure

Total Pressure given Gauge Pressure

Go Total Pressure = Gauge Pressure+Atmospheric Pressure

Water Depth given Wave Celerity for Shallow Water

Go Water Depth = (Celerity of the Wave^2)/[g]

Radian Frequency given Wave Period

Go Wave Angular Frequency = 1/Mean Wave Period

Wave Period given average Frequency

Go Wave Period = 1/Wave Angular Frequency

Correction Factor given Height of Surface Waves based on Subsurface Measurements Formula

Correction Factor = Elevation of Water Surface*Mass Density*[g]*Pressure Response Factor/(Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))
f = η*ρ*[g]*K/(p+(ρ*[g]*z))

What is Wavelength?

Wavelength, distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in the same phase i.e., points that have completed identical fractions of their periodic motion.

How to Calculate Correction Factor given Height of Surface Waves based on Subsurface Measurements?

Correction Factor given Height of Surface Waves based on Subsurface Measurements calculator uses Correction Factor = Elevation of Water Surface*Mass Density*[g]*Pressure Response Factor/(Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge)) to calculate the Correction Factor, The Correction Factor given Height of Surface Waves based on Subsurface Measurements equals unity if the linear theory is a factor that is multiplied by the result of an equation to correct for a known amount of systematic error. Correction Factor is denoted by f symbol.

How to calculate Correction Factor given Height of Surface Waves based on Subsurface Measurements using this online calculator? To use this online calculator for Correction Factor given Height of Surface Waves based on Subsurface Measurements, enter Elevation of Water Surface (η), Mass Density (ρ), Pressure Response Factor (K), Pressure (p) & Depth below the SWL of Pressure Gauge (z) and hit the calculate button. Here is how the Correction Factor given Height of Surface Waves based on Subsurface Measurements calculation can be explained with given input values -> 0.199673 = 100*997*[g]*0.1/(800+(997*[g]*50)).

FAQ

What is Correction Factor given Height of Surface Waves based on Subsurface Measurements?

The Correction Factor given Height of Surface Waves based on Subsurface Measurements equals unity if the linear theory is a factor that is multiplied by the result of an equation to correct for a known amount of systematic error and is represented as f = η*ρ*[g]*K/(p+(ρ*[g]*z)) or Correction Factor = Elevation of Water Surface*Mass Density*[g]*Pressure Response Factor/(Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge)). Elevation of Water Surface relative to the SWL, Standing Water Level recorded for the water well, Mass Density is a physical quantity that represents the mass of a substance per unit volume, Pressure Response Factor is obtained from linear theory and takes into account pressure due to wave motion, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed & Depth below the SWL of Pressure Gauge is defined as the bottom level with reference to the water depth.

How to calculate Correction Factor given Height of Surface Waves based on Subsurface Measurements?

The Correction Factor given Height of Surface Waves based on Subsurface Measurements equals unity if the linear theory is a factor that is multiplied by the result of an equation to correct for a known amount of systematic error is calculated using Correction Factor = Elevation of Water Surface*Mass Density*[g]*Pressure Response Factor/(Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge)). To calculate Correction Factor given Height of Surface Waves based on Subsurface Measurements, you need Elevation of Water Surface (η), Mass Density (ρ), Pressure Response Factor (K), Pressure (p) & Depth below the SWL of Pressure Gauge (z). With our tool, you need to enter the respective value for Elevation of Water Surface, Mass Density, Pressure Response Factor, Pressure & Depth below the SWL of Pressure Gauge 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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