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0688-SOM-00001, Rev: 02
© Tritech International Ltd.
Appendix B
B.1. Depth Derivation
The Bathy V7 uses its ARM processor to carry out the various calculations required to derive depth, salinity, density,
VOS, and altitude. This allows the V7 system to operate in a completely standalone mode, as opposed to the V3
system that requires the use of Seanet/Desktop PC to derive the above outputs.
The V7 system offers operators to select from a list of industry standard algorithms for deriving both Depth and
Velocity of Sound.
This following section lists the formulae (used internally) to derive those output values.
B.2. Default Depth Equation
B.3. Gravity Formula
B.4. Alternative Depth Equation
𝐷𝐷𝐷𝐷𝐷𝐷𝐷𝐷ℎ (𝑚𝑚) =
𝑔𝑔
𝑛𝑛
𝑔𝑔 (
0.70307(𝐷𝐷 − 0.01450377𝑎𝑎
𝜌𝜌
)
𝐷𝐷 = 𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝐷𝐷𝐷𝐷 𝐷𝐷𝑝𝑝𝐷𝐷𝑎𝑎𝑎𝑎𝑎𝑎𝑝𝑝𝐷𝐷 𝑖𝑖𝑖𝑖 𝑃𝑃𝑃𝑃𝑃𝑃
𝑎𝑎 = 𝑎𝑎𝑎𝑎𝑝𝑝𝑠𝑠𝑎𝑎𝑠𝑠𝐷𝐷 𝑎𝑎𝐷𝐷𝑚𝑚𝑎𝑎𝑎𝑎𝐷𝐷ℎ𝐷𝐷𝑝𝑝𝑖𝑖𝑠𝑠 𝐷𝐷𝑝𝑝𝐷𝐷𝑎𝑎𝑎𝑎𝑎𝑎𝑝𝑝𝐷𝐷 𝑖𝑖𝑖𝑖 𝑚𝑚𝑎𝑎𝑎𝑎𝑝𝑝
𝜌𝜌 = 𝑚𝑚𝐷𝐷𝑎𝑎𝑖𝑖 𝑑𝑑𝐷𝐷𝑖𝑖𝑎𝑎𝑖𝑖𝐷𝐷𝑑𝑑 𝑠𝑠𝑝𝑝𝑎𝑎𝑚𝑚 𝐶𝐶𝐶𝐶 𝐷𝐷𝑝𝑝𝑎𝑎𝑎𝑎𝐷𝐷 (𝑃𝑃𝑆𝑆704) 𝑎𝑎𝑝𝑝 𝑠𝑠𝑖𝑖𝑓𝑓𝐷𝐷𝑑𝑑 𝑎𝑎𝑑𝑑𝑎𝑎𝐷𝐷𝐷𝐷𝑚𝑚 𝑑𝑑𝐷𝐷𝑖𝑖𝑎𝑎𝑖𝑖𝐷𝐷𝑑𝑑 (𝑃𝑃𝑆𝑆701)
0.01450377 = 𝑚𝑚𝑎𝑎𝑎𝑎𝑝𝑝 𝐷𝐷𝑎𝑎 𝑃𝑃𝑃𝑃𝑃𝑃 𝑠𝑠𝑎𝑎𝑖𝑖𝑐𝑐𝐷𝐷𝑝𝑝𝑎𝑎𝑖𝑖𝑎𝑎𝑖𝑖 𝑠𝑠𝑎𝑎𝑠𝑠𝐷𝐷𝑎𝑎𝑝𝑝
0.70307 = 𝑎𝑎𝐷𝐷𝑎𝑎𝑖𝑖𝑑𝑑𝑎𝑎𝑝𝑝𝑑𝑑 𝑔𝑔𝑝𝑝𝑎𝑎𝑐𝑐𝑖𝑖𝐷𝐷𝑑𝑑 𝑎𝑎𝑠𝑠 9.80665𝑚𝑚 𝑎𝑎
−2
𝑔𝑔 = 𝑎𝑎𝑎𝑎𝑠𝑠𝑎𝑎𝑎𝑎, 𝑎𝑎𝑎𝑎𝐷𝐷𝑖𝑖𝐷𝐷𝑎𝑎𝑑𝑑𝐷𝐷 𝑑𝑑𝐷𝐷𝐷𝐷𝐷𝐷𝑖𝑖𝑑𝑑𝐷𝐷𝑖𝑖𝐷𝐷 𝑔𝑔𝑝𝑝𝑎𝑎𝑐𝑐𝑖𝑖𝐷𝐷𝑑𝑑
𝑔𝑔 = 9.7803184 (1 + 0.0053024 𝑠𝑠𝑠𝑠𝑠𝑠
2
𝜃𝜃 − 0.0000059 𝑠𝑠𝑠𝑠𝑠𝑠
4
𝜃𝜃)
𝑔𝑔𝑠𝑠𝑔𝑔𝑔𝑔𝑠𝑠 𝜃𝜃 = 𝑙𝑙𝑙𝑙𝑙𝑙𝑙𝑙𝑙𝑙 𝑙𝑙𝑙𝑙𝑙𝑙𝑠𝑠𝑙𝑙𝑙𝑙𝑙𝑙𝑔𝑔 𝑠𝑠𝑠𝑠 𝑙𝑙𝑔𝑔𝑔𝑔𝑑𝑑𝑔𝑔𝑔𝑔𝑠𝑠
(International Association of Geodesy, Sp.Pub.Bull Geodesy 1970)
𝑍𝑍
𝑠𝑠
(𝑃𝑃, 𝜃𝜃) =
9.72659
∗
10
2
𝑃𝑃 − 2.512
∗
10
−1
𝑃𝑃
2
+ 2.279
∗
10
−4
𝑃𝑃
3
− 1.82
∗
10
−7
𝑃𝑃
4
𝑔𝑔(𝜃𝜃) + 1.092 ∗ 10
−4
𝑃𝑃
Where g(
𝜃𝜃
), the international formula for gravity, is given by:
𝑔𝑔(𝜃𝜃) = 9.780318 (1 + 5.2788 ∗ 10
−3
𝑠𝑠𝑠𝑠𝑠𝑠
2
𝜃𝜃 + 2.36 ∗ 10
−5
𝑠𝑠𝑠𝑠𝑠𝑠
4
𝜃𝜃
𝑍𝑍 = 𝐷𝐷𝐷𝐷𝐷𝐷𝐷𝐷ℎ 𝑠𝑠𝑠𝑠 𝑚𝑚𝐷𝐷𝐷𝐷𝐷𝐷𝑚𝑚𝑠𝑠
𝑃𝑃 = 𝑃𝑃𝑚𝑚𝐷𝐷𝑠𝑠𝑠𝑠𝑃𝑃𝑚𝑚𝐷𝐷 𝑠𝑠𝑠𝑠 𝑚𝑚𝑃𝑃𝑚𝑚
𝜃𝜃 = 𝑙𝑙𝑚𝑚𝐷𝐷𝑠𝑠𝐷𝐷𝑃𝑃𝑙𝑙𝐷𝐷
Содержание Tritech Super SeaKing 700 V7 Series
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