✖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.ⓘ Mass Density [ρ]			+10% -10%
✖Wave Height is the vertical distance between the crest and the trough of a wave. Higher wave heights correspond to greater wave forces, which leads to increased structural loading.ⓘ Wave Height [H]			+10% -10%
✖Upper Bottom Distance is the vertical distance between the seabed or ocean floor and the water surface. It holds significant importance, especially in relation to subsurface pressure.ⓘ Upper Bottom Distance [D_z'+d']			+10% -10%
✖Wavelength is the distance between successive peaks or troughs of a wave. It is crucial in understanding the behavior of waves, particularly in relation to subsurface pressure.ⓘ Wavelength [λ]			+10% -10%
✖Phase Angle is the angular displacement between the oscillations of water level and pore water pressure within the seabed or coastal structures.ⓘ Phase Angle [θ]			+10% -10%
✖Water Depth is vertical distance from the surface of a body of water to its bottom, it is a critical parameter for understanding the characteristics and behaviors of the marine environment.ⓘ Water Depth [d]			+10% -10%
✖Seabed Elevation impact on the distribution of subsurface pressures in coastal areas. Variations in seabed elevation can affect the flow of groundwater.ⓘ Seabed Elevation [Z]			+10% -10%

✖Sub Surface Pressure is the pressure exerted by the overlying water column and any additional pressures such as atmospheric pressure at a specific depth below the ocean.ⓘ Pressure taken as Gauge Pressure relative to Wave Mechanics [p]

⎘ Copy

👎

Formula

✖

Pressure taken as Gauge Pressure relative to Wave Mechanics

Formula

`"p" = ("ρ"*"[g]"*"H"*cosh(2*pi*("D"_{"z'+d'"})/"λ"))*cos("θ")/(2*cosh(2*pi*"d"/"λ"))-("ρ"*"[g]"*"Z")`

Example

`"320.2747kPa"=("997kg/m³"*"[g]"*"3m"*cosh(2*pi*("19.31m")/"26.8m"))*cos("60°")/(2*cosh(2*pi*"1.05m"/"26.8m"))-("997kg/m³"*"[g]"*"0.908")`

Calculator

LaTeX

Reset

👍

Download Subsurface Pressure Formulas PDF PDF Image

Pressure taken as Gauge Pressure relative to Wave Mechanics Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sub Surface Pressure = (Mass Density*[g]*Wave Height*cosh(2*pi*(Upper Bottom Distance)/Wavelength))*cos(Phase Angle)/(2*cosh(2*pi*Water Depth/Wavelength))-(Mass Density*[g]*Seabed Elevation)
p = (ρ*[g]*H*cosh(2*pi*(D_z'+d')/λ))*cos(θ)/(2*cosh(2*pi*d/λ))-(ρ*[g]*Z)
This formula uses 2 Constants, 2 Functions, 8 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
cosh - The hyperbolic cosine function is a mathematical function that is defined as the ratio of the sum of the exponential functions of x and negative x to 2., cosh(Number)

Variables Used

Sub Surface Pressure - (Measured in Pascal) - Sub Surface Pressure is the pressure exerted by the overlying water column and any additional pressures such as atmospheric pressure at a specific depth below the ocean.
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.
Wave Height - (Measured in Meter) - Wave Height is the vertical distance between the crest and the trough of a wave. Higher wave heights correspond to greater wave forces, which leads to increased structural loading.
Upper Bottom Distance - (Measured in Meter) - Upper Bottom Distance is the vertical distance between the seabed or ocean floor and the water surface. It holds significant importance, especially in relation to subsurface pressure.
Wavelength - (Measured in Meter) - Wavelength is the distance between successive peaks or troughs of a wave. It is crucial in understanding the behavior of waves, particularly in relation to subsurface pressure.
Phase Angle - (Measured in Radian) - Phase Angle is the angular displacement between the oscillations of water level and pore water pressure within the seabed or coastal structures.
Water Depth - (Measured in Meter) - Water Depth is vertical distance from the surface of a body of water to its bottom, it is a critical parameter for understanding the characteristics and behaviors of the marine environment.
Seabed Elevation - Seabed Elevation impact on the distribution of subsurface pressures in coastal areas. Variations in seabed elevation can affect the flow of groundwater.

STEP 1: Convert Input(s) to Base Unit

Mass Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Wave Height: 3 Meter --> 3 Meter No Conversion Required
Upper Bottom Distance: 19.31 Meter --> 19.31 Meter No Conversion Required
Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required
Phase Angle: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
Water Depth: 1.05 Meter --> 1.05 Meter No Conversion Required
Seabed Elevation: 0.908 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p = (ρ*[g]*H*cosh(2*pi*(D_z'+d')/λ))*cos(θ)/(2*cosh(2*pi*d/λ))-(ρ*[g]*Z) --> (997*[g]*3*cosh(2*pi*(19.31)/26.8))*cos(1.0471975511964)/(2*cosh(2*pi*1.05/26.8))-(997*[g]*0.908)

Evaluating ... ...

p = 320274.706440574

STEP 3: Convert Result to Output's Unit

320274.706440574 Pascal -->320.274706440574 Kilopascal (Check conversion here)

FINAL ANSWER

320.274706440574 ≈ 320.2747 Kilopascal <-- Sub Surface Pressure

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Coastal and Ocean Engineering » Water Wave Mechanics » Subsurface Pressure » Pressure Reference Factor » Pressure taken as Gauge Pressure relative to Wave Mechanics

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 7 Pressure Reference Factor Calculators

Pressure taken as Gauge Pressure relative to Wave Mechanics

Go Sub Surface Pressure = (Mass Density*[g]*Wave Height*cosh(2*pi*(Upper Bottom Distance)/Wavelength))*cos(Phase Angle)/(2*cosh(2*pi*Water Depth/Wavelength))-(Mass Density*[g]*Seabed Elevation)

Pressure Reference Factor given Height of Surface Waves based on Subsurface Measurements

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

Pressure given Height of Surface Waves based on Subsurface Measurements

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

Pressure Reference Factor

Go Pressure Factor = cosh(2*pi*(Distance above the Bottom)/Wavelength)/(cosh(2*pi*Water Depth/Wavelength))

Pressure given Pressure Response Factor

Go Pressure = Mass Density*[g]*(((Wave Height/2)*cos(Phase Angle)*Pressure Response Factor)-Seabed Elevation)

Wavelength for Pressure Response Factor at bottom

Go Wavelength = 2*pi*Water Depth/(acosh(1/Pressure Factor))

Pressure Response Factor at Bottom

Go Pressure Factor = 1/cosh(2*pi*Water Depth/Wavelength)

Pressure taken as Gauge Pressure relative to Wave Mechanics Formula

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 Pressure taken as Gauge Pressure relative to Wave Mechanics?

Pressure taken as Gauge Pressure relative to Wave Mechanics calculator uses Sub Surface Pressure = (Mass Density*[g]*Wave Height*cosh(2*pi*(Upper Bottom Distance)/Wavelength))*cos(Phase Angle)/(2*cosh(2*pi*Water Depth/Wavelength))-(Mass Density*[g]*Seabed Elevation) to calculate the Sub Surface Pressure, The Pressure taken as Gauge Pressure relative to Wave Mechanics Formula is defined as the pressure relative to atmospheric pressure. Gauge pressure is positive for pressures above atmospheric pressure, and negative for pressures below it. Sub Surface Pressure is denoted by p symbol.

How to calculate Pressure taken as Gauge Pressure relative to Wave Mechanics using this online calculator? To use this online calculator for Pressure taken as Gauge Pressure relative to Wave Mechanics, enter Mass Density (ρ), Wave Height (H), Upper Bottom Distance (D_z'+d'), Wavelength (λ), Phase Angle (θ), Water Depth (d) & Seabed Elevation (Z) and hit the calculate button. Here is how the Pressure taken as Gauge Pressure relative to Wave Mechanics calculation can be explained with given input values -> 0.320275 = (997*[g]*3*cosh(2*pi*(19.31)/26.8))*cos(1.0471975511964)/(2*cosh(2*pi*1.05/26.8))-(997*[g]*0.908).

FAQ

What is Pressure taken as Gauge Pressure relative to Wave Mechanics?

The Pressure taken as Gauge Pressure relative to Wave Mechanics Formula is defined as the pressure relative to atmospheric pressure. Gauge pressure is positive for pressures above atmospheric pressure, and negative for pressures below it and is represented as p = (ρ*[g]*H*cosh(2*pi*(D_z'+d')/λ))*cos(θ)/(2*cosh(2*pi*d/λ))-(ρ*[g]*Z) or Sub Surface Pressure = (Mass Density*[g]*Wave Height*cosh(2*pi*(Upper Bottom Distance)/Wavelength))*cos(Phase Angle)/(2*cosh(2*pi*Water Depth/Wavelength))-(Mass Density*[g]*Seabed Elevation). 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, Wave Height is the vertical distance between the crest and the trough of a wave. Higher wave heights correspond to greater wave forces, which leads to increased structural loading, Upper Bottom Distance is the vertical distance between the seabed or ocean floor and the water surface. It holds significant importance, especially in relation to subsurface pressure, Wavelength is the distance between successive peaks or troughs of a wave. It is crucial in understanding the behavior of waves, particularly in relation to subsurface pressure, Phase Angle is the angular displacement between the oscillations of water level and pore water pressure within the seabed or coastal structures, Water Depth is vertical distance from the surface of a body of water to its bottom, it is a critical parameter for understanding the characteristics and behaviors of the marine environment & Seabed Elevation impact on the distribution of subsurface pressures in coastal areas. Variations in seabed elevation can affect the flow of groundwater.

How to calculate Pressure taken as Gauge Pressure relative to Wave Mechanics?

The Pressure taken as Gauge Pressure relative to Wave Mechanics Formula is defined as the pressure relative to atmospheric pressure. Gauge pressure is positive for pressures above atmospheric pressure, and negative for pressures below it is calculated using Sub Surface Pressure = (Mass Density*[g]*Wave Height*cosh(2*pi*(Upper Bottom Distance)/Wavelength))*cos(Phase Angle)/(2*cosh(2*pi*Water Depth/Wavelength))-(Mass Density*[g]*Seabed Elevation). To calculate Pressure taken as Gauge Pressure relative to Wave Mechanics, you need Mass Density (ρ), Wave Height (H), Upper Bottom Distance (D_z'+d'), Wavelength (λ), Phase Angle (θ), Water Depth (d) & Seabed Elevation (Z). With our tool, you need to enter the respective value for Mass Density, Wave Height, Upper Bottom Distance, Wavelength, Phase Angle, Water Depth & Seabed Elevation 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 Sub Surface Pressure?

In this formula, Sub Surface Pressure uses Mass Density, Wave Height, Upper Bottom Distance, Wavelength, Phase Angle, Water Depth & Seabed Elevation. We can use 1 other way(s) to calculate the same, which is/are as follows -

Sub Surface Pressure = ((Water Surface Elevation*Mass Density*[g]*Pressure Factor)/Correction Factor)-(Mass Density*[g]*Depth of Pressure Gauge)

Home

FREE PDFs

🔍 Search