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

STEP 0: Pre-Calculation Summary
Formula Used
Correction Factor = Water Surface Elevation*Mass Density*[g]*Pressure Response Factor/(Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))
f = η*ρ*[g]*k/(Pss+(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 adjusts theoretical models to better reflect real conditions. This factor accounts for variables like water table fluctuations, and wave impacts that influence subsurface pressure.
Water Surface Elevation - (Measured in Meter) - Water Surface Elevation directly impacts the magnitude and distribution of hydrostatic pressure acting on submerged structures, such as seawalls, offshore platforms.
Mass Density - (Measured in Kilogram per Cubic Meter) - Mass Density is crucial for understanding the distribution of pressures exerted by overlying soil or water layers on underground structures like foundations, tunnels, or pipelines.
Pressure Response Factor - Pressure Response Factor quantifies how the pore pressure within the soil or rock changes in response to changes in applied stress.
Pressure - (Measured in Pascal) - Pressure is the force exerted by water or other fluids beneath the earth's surface or within coastal areas.
Depth below the SWL of Pressure Gauge - (Measured in Meter) - Depth below the SWL of Pressure Gauge it determines the subsurface pressure the gauge measures, which is essential for understanding the pressure exerted by the water column above the gauge.
STEP 1: Convert Input(s) to Base Unit
Water Surface Elevation: 19.2 Meter --> 19.2 Meter No Conversion Required
Mass Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Pressure Response Factor: 1.32 --> No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Depth below the SWL of Pressure Gauge: 49.906 Meter --> 49.906 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
f = η*ρ*[g]*k/(Pss+(ρ*[g]*z)) --> 19.2*997*[g]*1.32/(800+(997*[g]*49.906))
Evaluating ... ...
f = 0.507003478006561
STEP 3: Convert Result to Output's Unit
0.507003478006561 --> No Conversion Required
FINAL ANSWER
0.507003478006561 0.507003 <-- Correction Factor
(Calculation completed in 00.020 seconds)

Credits

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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14 Pressure Component Calculators

Water Surface Elevation of Two Sinusoidal Wave
​ Go Water Elevation = (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
Depth below SWL of Pressure Gauge
​ Go Depth below the SWL of Pressure Gauge = ((Water Surface Elevation*Mass Density*[g]*Pressure Response Factor/Correction Factor)-Pressure)/(Mass Density*[g])
Correction Factor given Height of Surface Waves based on Subsurface Measurements
​ Go Correction Factor = Water Surface Elevation*Mass Density*[g]*Pressure Response Factor/(Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))
Friction Velocity given Dimensionless Time
​ Go Friction Velocity = ([g]*Time for Dimensionless Parameter Calculation)/Dimensionless Time
Water Surface Elevation
​ Go Water Elevation = (Wave Height/2)*cos(Phase Angle)
Wave celerity for shallow water given water depth
​ Go Wave Celerity = 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 = (Wave Celerity^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 = Water Surface Elevation*Mass Density*[g]*Pressure Response Factor/(Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))
f = η*ρ*[g]*k/(Pss+(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 = Water Surface Elevation*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 formula is defined for the height of surface waves based on subsurface measurements is a coefficient used to adjust pressure measurements taken below the water surface to accurately estimate the actual wave height at the surface. This factor accounts for the attenuation of wave-induced pressures with depth due to the exponential decay of pressure fluctuations as waves propagate. 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 Water Surface Elevation (η), Mass Density (ρ), Pressure Response Factor (k), Pressure (Pss) & 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 -> 0.00528 = 19.2*997*[g]*1.32/(800+(997*[g]*49.906)).

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 formula is defined for the height of surface waves based on subsurface measurements is a coefficient used to adjust pressure measurements taken below the water surface to accurately estimate the actual wave height at the surface. This factor accounts for the attenuation of wave-induced pressures with depth due to the exponential decay of pressure fluctuations as waves propagate and is represented as f = η*ρ*[g]*k/(Pss+(ρ*[g]*z)) or Correction Factor = Water Surface Elevation*Mass Density*[g]*Pressure Response Factor/(Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge)). Water Surface Elevation directly impacts the magnitude and distribution of hydrostatic pressure acting on submerged structures, such as seawalls, offshore platforms, Mass Density is crucial for understanding the distribution of pressures exerted by overlying soil or water layers on underground structures like foundations, tunnels, or pipelines, Pressure Response Factor quantifies how the pore pressure within the soil or rock changes in response to changes in applied stress, Pressure is the force exerted by water or other fluids beneath the earth's surface or within coastal areas & Depth below the SWL of Pressure Gauge it determines the subsurface pressure the gauge measures, which is essential for understanding the pressure exerted by the water column above the gauge.
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 formula is defined for the height of surface waves based on subsurface measurements is a coefficient used to adjust pressure measurements taken below the water surface to accurately estimate the actual wave height at the surface. This factor accounts for the attenuation of wave-induced pressures with depth due to the exponential decay of pressure fluctuations as waves propagate is calculated using Correction Factor = Water Surface Elevation*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 Water Surface Elevation (η), Mass Density (ρ), Pressure Response Factor (k), Pressure (Pss) & Depth below the SWL of Pressure Gauge (z). With our tool, you need to enter the respective value for Water Surface Elevation, 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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