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Speed of sound in water

The speed of sound in water changes depending on the temperature and type of water.

Neither calculation takes into account contributions from changes in water pressure or depth.

In the case of brackish water, the salinity of the water influences its density and therefore the speed of sound. Saline water is denser than fresh water due to the presence of dissolved salts in it. The speed of sound in a medium is influenced by the density and compressibility of the medium, and since salinity affects the density of water, it also affects the speed of sound in that medium. Therefore, to calculate the speed of sound in saline water, its salinity needs to be taken into account. A typical salinity range is 35 ppt or g/L.

When velocity accuracy is required, as in the case of ultrasonic flow measurement, a fixed value for velocity cannot be assumed. It critically depends on environmental variables such as temperature, salinity, and pressure (depth).

 

One of the most widely used formulas in scientific and industrial contexts is the one proposed by K.V. Mackenzie in 1981, which offers good accuracy for saltwater within a wide operational range. This equation allows the speed of sound c (in m/s) to be estimated as a function of:

Temperature (°C): T

Salinity (ppt): S

Depth (m): D

Its importance lies in the fact that depending on the measurement technology used, from sonars to ultrasonic flow meters, it can provide a difference in meters or L/min. This is because these devices depend entirely on sound propagation, especially when their operating principle is Time in Transit or Time of Flight.

In scientific contexts, this can mean inaccurate oceanographic data; in the naval industry, it can lead to navigation errors; and in defense, it can compromise threat detection. In metrology, it can lead to errors during the calibration of critical equipment for different types of industries.

Furthermore, the study of sound propagation in water also has an environmental impact. Underwater noise caused by vessels and industrial activities propagates differently depending on these physical conditions, directly affecting marine wildlife that navigate and communicate through sound.

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