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Adding Decibels. Speed of Sound in Water. Medium Effects: Elasticity and Density. Variable Effects of:. Salinity Pressure Temperature. Salinity. Temperature. Pressure. Depth. Depth. Depth. Speed of Sound Factors. Temperature Pressure or Depth
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Speed of Sound in Water Medium Effects: Elasticity and Density Variable Effects of: Salinity Pressure Temperature Salinity Temperature Pressure Depth Depth Depth
Speed of Sound Factors • Temperature • Pressure or Depth • Salinity
More Curve Fitting Chen and Millero Leroy
Expendable Bathythermograph Canister Loading Breech Canister Loading Breech Launcher Recorder Cable (4-wire shielded) Stantion LAUNCHER Optional Equipment Alternating Current PowerCable (3-wire) Terminal Board Depth/Temperature Chart RECORDER Wire Spool Thermistor PROBE (XBT)
Typical Deep Ocean Sound Velocity Profile (SVP) Sonic Layer Depth (LD) P T C Deep Sound Channel Axis
Refraction High c1 B A D E Low c2
c1 c2 c3 c4 1 2 3 4 d e p th 1 2 3 4 1 2 3 4 1 2 3 4 Multiple Boundary Layers where c1 < c2 < c3 < c4 and 1 > 2 > 3 > 4
Simple Ray Theory c (c1,z1) (c,z) Snell’s Law z
x2 x1 R c1 z1 q1 c2 z2 q2 Positive gradient, g Ray Theory Geometry
The z (Depth) and x (Range) Directions csurface=1500 m/s z I=20 x
The z (Depth) and x(Range) Directions csurface=1500 m/s z I=20 x
x2 x1 q1 R c1 z1 q1 z2 c2 q2 Positive gradient, g Why is R = Radius?
x2 x1 R c1 z1 q1 z2 c2 q2 Positive gradient, g Summary
Negative Gradient x1 x2 c2 z2 q2 q1 z1 c1 R Negative gradient, g
1 c1 2 0 c2 c0 Example 1 • Given: c1 = 964 m/s, c2 = 1299 m/s, q2 = 30o Dz(between 1 and 0) = 3000m • Find: q1, co, g (between pt 1 and 0), R
csurface=1500 m/s I=20 II=30 c100 m=1510 m/s Example 2 • Find gradient, g • Find Radius of Curvature, R, for each ray. • Skip distance – i.e. the distance until the ray hits the surface again • Max depth reached by each ray
Slope = tanq x1 x2 z1 z2