Formula Used
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))))θ = acos((Pabs+(ρ*[g]*Z)-(Patm))/((ρ*[g]*H*cosh(2*pi*(DZ+d)/λ))/(2*cosh(2*pi*d/λ))))This formula uses
2 Constants,
3 Functions,
9 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)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., acos(Number)
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
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.
Absolute Pressure -
(Measured in Pascal) - Absolute Pressure is the total pressure measured with respect to absolute zero, which is a perfect vacuum. It is the sum of the gauge pressure and the atmospheric pressure.
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.
Seabed Elevation - Seabed Elevation impact on the distribution of subsurface pressures in coastal areas. Variations in seabed elevation can affect the flow of groundwater.
Atmospheric Pressure -
(Measured in Pascal) - Atmospheric Pressure is the force per unit area exerted against a surface by the weight of air above that surface in the Earth’s atmosphere.
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.
Distance above the Bottom -
(Measured in Meter) - Distance above the Bottom directly influences the magnitude of pressure exerted by the overlying water column on submerged structures or sediments.
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.
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.