Height of Surface Waves based on Subsurface Measurements Solution

STEP 0: Pre-Calculation Summary
Formula Used
Elevation of Water Surface = Correction Factor*(Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))/(Mass Density*[g]*Pressure Response Factor)
η = f*(p+(ρ*[g]*z))/(ρ*[g]*K)
This formula uses 1 Constants, 6 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Elevation of Water Surface - (Measured in Meter) - Elevation of Water Surface relative to the SWL, Standing Water Level recorded for the water well.
Correction Factor - Correction Factor is that which is multiplied with the result of an equation to correct for a known amount of systematic error.
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.
Mass Density - (Measured in Kilogram per Cubic Meter) - The Mass Density of a substance is its mass per unit volume.
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.
Pressure Response Factor - Pressure Response Factor is obtained from linear theory and takes into account pressure due to wave motion.
STEP 1: Convert Input(s) to Base Unit
Correction Factor: 0.5 --> No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Mass Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Depth below the SWL of Pressure Gauge: 50 Meter --> 50 Meter No Conversion Required
Pressure Response Factor: 0.1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
η = f*(p+(ρ*[g]*z))/(ρ*[g]*K) --> 0.5*(800+(997*[g]*50))/(997*[g]*0.1)
Evaluating ... ...
η = 250.409113826671
STEP 3: Convert Result to Output's Unit
250.409113826671 Meter --> No Conversion Required
FINAL ANSWER
250.409113826671 250.4091 Meter <-- Elevation of Water Surface
(Calculation completed in 00.004 seconds)

Credits

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

Height of Surface Waves based on Subsurface Measurements Formula

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

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 Height of Surface Waves based on Subsurface Measurements?

Height of Surface Waves based on Subsurface Measurements calculator uses Elevation of Water Surface = Correction Factor*(Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))/(Mass Density*[g]*Pressure Response Factor) to calculate the Elevation of Water Surface, The Height of Surface Waves based on Subsurface Measurements is defined as the height of the water surface relative to the Safe Working Loads. Elevation of Water Surface is denoted by η symbol.

How to calculate Height of Surface Waves based on Subsurface Measurements using this online calculator? To use this online calculator for Height of Surface Waves based on Subsurface Measurements, enter Correction Factor (f), Pressure (p), Mass Density (ρ), Depth below the SWL of Pressure Gauge (z) & Pressure Response Factor (K) and hit the calculate button. Here is how the Height of Surface Waves based on Subsurface Measurements calculation can be explained with given input values -> 250.4091 = 0.5*(800+(997*[g]*50))/(997*[g]*0.1).

FAQ

What is Height of Surface Waves based on Subsurface Measurements?
The Height of Surface Waves based on Subsurface Measurements is defined as the height of the water surface relative to the Safe Working Loads and is represented as η = f*(p+(ρ*[g]*z))/(ρ*[g]*K) or 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 is that which is multiplied with the result of an equation to correct for a known amount of systematic error, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, The Mass Density of a substance is its mass per unit volume, Depth below the SWL of Pressure Gauge is defined as the bottom level with reference to the water depth & Pressure Response Factor is obtained from linear theory and takes into account pressure due to wave motion.
How to calculate Height of Surface Waves based on Subsurface Measurements?
The Height of Surface Waves based on Subsurface Measurements is defined as the height of the water surface relative to the Safe Working Loads is calculated using Elevation of Water Surface = Correction Factor*(Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))/(Mass Density*[g]*Pressure Response Factor). To calculate Height of Surface Waves based on Subsurface Measurements, you need Correction Factor (f), Pressure (p), Mass Density (ρ), Depth below the SWL of Pressure Gauge (z) & Pressure Response Factor (K). With our tool, you need to enter the respective value for Correction Factor, Pressure, Mass Density, Depth below the SWL of Pressure Gauge & Pressure Response Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Elevation of Water Surface?
In this formula, Elevation of Water Surface uses Correction Factor, Pressure, Mass Density, Depth below the SWL of Pressure Gauge & Pressure Response Factor. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Elevation of Water Surface = (Wave Height/2)*cos(Phase Angle)
  • 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))
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