METHOD FOR CALCULATING THE SEAWATER SOUND VELOCITY TO MEASURE RAPIDLY CHANGING OCEAN PROCESSES

Authors

  • A. N. Grekov Institute of Natural and Technical Systems (IPTS)
  • N. A. Grekov Institute of Natural and Technical Systems (IPTS)
  • E. N. Sychov Institute of Natural and Technical Systems (IPTS)
  • K. A. Kuzmin Institute of Natural and Technical Systems (IPTS)

DOI:

https://doi.org/10.29006/1564-2291.JOR-2022.50(2).1

Keywords:

sea water, measurements, sound speed, temperature, hydrostatic pressure, absolute salinity, equation of state, approximation, TEOS-10, microcontroller, submersibles

Abstract

The paper presents two compact polynomial equations expressing the dependence of the sound speed of sea water on the input parameters: in situ temperature, hydrostatic pressure and absolute salinity. The equations are obtained by approximating the standard International Thermodynamic Equation of Seawater-2010 (TEOS-10). The first equation is intended to be used for the technical purposes and reproduces the TEOS-10 data on the seawater sound speed over the wide range water environment parameters with a standard deviation of 0.987 cm/s. The second, more accurate equation is for the scientific use and reproduces the TEOS-10 data on the seawater sound speed over the oceanographic range water environment parameters with a standard deviation of 0.113 cm/s. The equations can be used to solve direct and inverse computational problems. In the direct computational problem, the sound speed value is calculated from the three input parameters measured values. In the inverse computational problem, the value of an unknown input parameter is determined from the measured values of the sound speed and two other input parameters. As a result of the experiments, the higher efficiency of the developed equations was confirmed in terms of their speed, saving energy and computer memory in comparison with the use of the International Equation TEOS-10. The developed equations, algorithms and programs for microcontrollers are convenient tools to equip various offshore platforms and especially fastmoving submersibles. The application of these equations makes it possible to obtain experimental data with high accuracy, to carry out measurements in real time in a rapidly changing aquatic environment, which can also be used to correct the movement of the submersibles.

References


  1. Allen, J. T., P. W. Keen, J. Gardiner, M. Quartley, and C. Quartley, 2017: A new salinity equation for sound speed instruments. Limnology and oceanography: Methods., 15 (9), 810–820, https://doi.org/10.1002/lom3.10203.

  2. Belogol’skii, V. A., S. S. Sekoyan, L. M. Samorukova, S. R. Stefanov, and V. I. Levtsov, 1999: Pressure dependence of the sound velocity in distilled water. Measurement Techniques, 42 (4), 406–413, https://doi.org/10.1007/bf02504405.

  3. Bilaniuk, N. and G. S. K. Wong, 1993: Speed of sound in pure water as a function of temperature. J. Acoust. Soc. Am., 93(3), 1609–1612, https://doi.org/10.1121/1.406819.

  4. Chen, C.-T. and F. J. Millero, 1977: Precise equation of state of seawater for oceanic ranges of salinity, temperature and pressure. Deep-Sea Res., 24 (4), 365–369, https://doi.org/10.1016/0146-6291(77)96000-3.

  5. Coppens, A. B., 1981: Simple equations for the speed of sound in Neptunian waters. J. Acoust. Soc. Am., 69(3), 862–863, https://doi.org/10.1121/1.385486.

  6. Del Grosso, V. A., 1952: The Velocity of Sound on Sea water of zero Depth. Naval Research Laboratory Report, 4002, https://doi.org/10.5962/bhl.title.39225.

  7. Del Grosso, V. A., 1974: New equation for the speed of sound in natural waters (with comparisons to other equations). J. Acoust. Soc. Am., 56 (4), 1084–1091, https://doi.org/10.1121/1.1903388.

  8. Fofonoff, P. and R. C. Jr. Millard, 1983: Algorithms for computation of fundamental properties of seawater. Unesco Tech. Pap. in Mar. Sci., 44, 54.

  9. Frye, H. W. and J. D. Pugh, 1971: A New Equation for the Speed of Sound in Seawater. J. Acoust. Soc. Am., 50 (1B), 384–386, https://doi.org/10.1121/1.1912645.

  10. Grekov, A. N., N. A. Grekov, and E. N. Sychov, 2016: Uravneniye skorosti zvuka dlya anomal’nykh zon okeanov i morey (Sound speed equation for anomalous zones of oceans and seas). Sistemy kontrolya okruzhayushchey sredy, 4 (24), 27–31.

  11. Grekov, A. N., N. A. Grekov, and E. N. Sychov, 2017: Profilografy skorosti zvuka i algoritm opredeleniya plotnosti vody dlya okeanograficheskogo diapazona (Sound velocity profilers and the algorithm for determining the density of water for the oceanographic range ). Sistemy kontrolya okruzhayushchey sredy, 8 (28), 11–15, https://doi.org/10.33075/2220-5861-2017-2-11-15.

  12. Grekov, A. N., N. A. Grekov, and E. N. Sychov, 2018: Issledovaniye vzaimozavisimosti skorosti zvuka i solenosti morskoy vody v uravnenii sostoyaniya (The studies of interdependence of sound velocity and marine water salinity). Sistemy kontrolya okruzhayushchey sredy, 13 (33), 29–36, https://doi.org/10.33075/2220-5861-2018-3-29-36.  
  13. Grekov, A. N., N. A. Grekov, and E. N. Sychov, 2019: New Equations for Sea Water Density Calculation Based on Measurements of the Sound Speed. Mekhatronika, avtomatizatsiya, upravleniye, 20 (3), 143–151, https://doi.org/10.17587/mau.20.143-151.

  14. IOC, SCOR and IAPSO, 2010: The international thermodynamic equation of seawater – 2010: Calculation and use of thermodynamic properties. Intergovernmental Oceanographic Commission, Manuals and Guides. No. 56, UNESCO (English), 196 p. (Available from http://www.TEOS-10.org).

  15. Leroy, C. C., 1969: Development of Simple Equations for Accurate and More Realistic Calculation of the Speed of Sound in Seawater. J. Acoust. Soc. Am., 46 (1B), 216–226, https://doi.org/10.1016/0041-624x(69)90929-9.

  16. Leroy, C. C., S. P. Robinson, and M. J. Goldsmith, 2008: A new equation for the accurate calculation of sound speed in all oceans. J. Acoust. Soc. Am., 124 (5), 2774–2782, https://doi.org/10.1121/1.2988296.

  17. Linnik, Yu. V., 1962: The method of least squares and the foundations of the mathematical-statistical theory of observation processing. Moscow, Fizmatgiz, 352.

  18. Lubbers, J. and R. Graaff, 1998: A simple and accurate formula for the sound velocity in water. Ultrasound Med. Biol., 24 (7), 1065–1068, https://doi.org/10.1016/s0301-5629(98)00091-x.

  19. Mackenzie, K. V., 1981: Nine-term equation for the sound speed in the oceans. J. Acoust. Soc. Am., 70 (3), 807–812, https://doi.org/10.1121/1.386920.

  20. Marczak, W., 1997: Water as a standard in the measurements of speed of sound in liquids. J. Acoust. Soc. Am., 102 (5), 2776–2779, https://doi.org/10.1121/1.420332.

  21. Medwin, H., 1975: Speed of Sound In Water: A Simple Equation for Realistic Parameters. J. Acoust. Soc. Am., 58 (6), 1318–1319, https://doi.org/10.1121/1.380790.  
  22. Wilson, W. D., 1962: Extrapolation of the Equation for the Speed of Sound in Sea Water. J. Acoust. Soc. Am., 34 (6), 866, https://doi.org/10.1121/1.1918215.

  23. Wood, A. B., 1955: A Textbook of Sound. Third Edition. Bell, London, 610.

Published

2022-08-29

Issue

Section

Ocean physics and climate

Most read articles by the same author(s)