Ocean acoustic tomography

The western North Atlantic showing the locations of two experiments that employed ocean acoustic tomography. AMODE, the "Acoustic Mid-Ocean Dynamics Experiment" (1990-1), was designed to study ocean dynamics in an area away from the Gulf Stream, and SYNOP (1988-9) was designed to synoptically measure aspects of the Gulf Stream. The colors show a snapshot of sound speed at 300 m depth derived from a high-resolution numerical ocean model. One of the key motivations for employing tomography is that the measurements give averages over the turbulent ocean.

Ocean Acoustic Tomography is a technique used to measure temperatures and currents over large regions of the ocean.^[1][2] On ocean basin scales, this technique is also known as acoustic thermometry. The technique relies on precisely measuring the time it takes sound signals to travel between two instruments, one an acoustic source and one a receiver, separated by ranges of 100–5000 km. If the locations of the instruments are known precisely, the measurement of time-of-flight can be used to infer the speed of sound, averaged over the acoustic path. Changes in the speed of sound are primarily caused by changes in the temperature of the ocean, hence the measurement of the travel times is equivalent to a measurement of temperature. A 1 °C change in temperature corresponds to about 4 m/s change in sound speed. An oceanographic experiment employing tomography typically uses several source-receiver pairs in a moored array that measures an area of ocean.

Motivation

Seawater is an electrical conductor, so the oceans are opaque to electromagnetic energy (e.g., light or radar). The oceans are fairly transparent to low-frequency acoustics, however. The oceans conduct sound very efficiently, particularly sound at low frequencies, i.e., less than a few hundred hertz.^[3] These properties motivated Walter Munk and Carl Wunsch^{[4] [5]} to suggest "acoustic tomography" for ocean measurement in the late 1970s. The advantages of the acoustical approach to measuring temperature are twofold. First, large areas of the ocean's interior can be measured by remote sensing. Second, the technique naturally averages over the small scale fluctuations of temperature (i.e., noise) that dominate ocean variability.

From its beginning, the idea of observations of the ocean by acoustics was married to estimation of the ocean's state using modern numerical ocean models and the techniques assimilating data into numerical models. As the observational technique has matured, so too have the methods of data assimilation and the computing power required to perform those calculations.

Multipath arrivals and tomography

Propagation of acoustic ray paths through the ocean. From the acoustic source at left, the paths are refracted by faster sound speed above and below the SOFAR channel, hence they oscillate about the channel axis. Tomography exploits these "multipaths" to infer information about temperature variations as a function of depth. Note that the aspect ratio of the figure has been greatly skewed to better illustrate the rays; the maximum depth of the figure is only 4.5 km, while the maximum range is 500 km.

One of the intriguing aspects of tomography is that it exploits the fact that acoustic signals travel along a set of generally stable ray paths. From a single transmitted acoustic signal, this set of rays gives rise to multiple arrivals at the receiver, the travel time of each arrival corresponding to a particular ray path. The earliest arrivals correspond to the deeper-traveling rays, since these rays travel where sound speed is greatest. The ray paths are easily calculated using computers ("ray tracing"), and each ray path can generally be identified with a particular travel time. The multiple travel times measure the sound speed averaged over each of the multiple acoustic paths. These measurements make it possible to infer aspects of the structure of temperature or current variations as a function of depth. The solution for sound speed, hence temperature, from the acoustic travel times is an inverse problem.

The integrating property of long-range acoustic measurements

Ocean acoustic tomography integrates temperature variations over large distances, that is, the measured travel times result from the accumulated effects of all the temperature variations along the acoustic path, hence measurements by the technique are inherently averaging. This is an important, unique property, since the ubiquitous small-scale turbulent and internal-wave features of the ocean usually dominate the signals in measurements at single points. For example, measurements by thermometers (i.e., moored thermistors or Argo drifting floats) have to contend with this 1-2 °C noise, so that large numbers of instruments are required to obtain an accurate measure of average temperature. For measuring the average temperature of ocean basins, therefore, the acoustic measurement is quite cost effective. Tomographic measurements also average variability over depth as well, since the ray paths cycle throughout the water column.

Reciprocal tomography

"Reciprocal tomography" employs the simultaneous transmissions between two acoustic transceivers. A "transceiver" is an instrument incorporating both an acoustic source and a receiver. The slight differences in travel time between the reciprocally-traveling signals are used to measure ocean currents, since the reciprocal signals travel with and against the current. The average of these reciprocal travel times is the measure of temperature, with the small effects from ocean currents entirely removed. Ocean temperatures are inferred from the sum of reciprocal travel times, while the currents are inferred from the difference of reciprocal travel times. Generally, ocean currents (typically 10 cm/s) have a much smaller effect on travel times than sound speed variations (typically 5 m/s), so "one-way" tomography measures temperature to good approximation.

Applications

In the ocean, large-scale temperature changes can occur over time intervals from minutes (internal waves) to decades (oceanic climate change). Tomography has been employed to measure variability over this wide range of temporal scales and over a wide range of spatial scales. Indeed, tomography has been contemplated as a measurement of ocean climate using transmissions over antipodal distances.^[3]

One of the earliest applications of tomography in ocean observation occurred in 1988-9. A collaboration between groups at the Scripps Institution of Oceanography and the Woods Hole Oceanographic Institution deployed a six-element tomographic array in the abyssal plain of the Greenland Sea gyre to study deep water formation and the gyre circulation.^[6][7]

Acoustic Thermometry of Ocean Climate (ATOC)

Acoustic Thermometry of Ocean Climate (ATOC) is an idea to observe the world's oceans, and the ocean climate in particular, using trans-basin acoustic transmissions. Prototype measurements of temperature have been made in the North Pacific Basin and across the Arctic Basin.^[1]

The original ATOC program implemented in the North Pacific Ocean formally ended in 2006. Acoustic transmissions were made from 1996 through Fall 2006, when agreed-upon environmental protocols ended. The decade-long deployment of the acoustic source showed that the observations are sustainable on even a modest budget. The transmissions have been verified to provide an accurate measurement of ocean temperature on the acoustic paths, with uncertainties that are far smaller than any other approach to ocean temperature measurement.^[8][9]

The ATOC prototype array was an acoustic source located just north of Kauai, Hawaii, and transmissions were made to receivers of opportunity in the North Pacific Basin. The source signals were broadband with frequencies centered on 75 Hz and a source level of 195 dB re 1 micropascal at 1 m, or about 250 watts. Six transmissions of 20-minute duration were made on every fourth day.

Acoustic transmissions and marine mammals

The ATOC project was embroiled in issues concerning the effects of acoustics on marine mammals (e.g. whales, porpoises, sea lions, etc.).^[10][11][12] Public discussion was complicated by technical issues from a variety of disciplines (physical oceanography, acoustics, marine mammal biology, etc.) that makes understanding the effects of acoustics on marine mammals difficult for the experts, let alone the general public. Many of the issues concerning acoustics in the ocean and their effects on marine mammals were unknown. Finally, there were a variety of public misconceptions initially, such as a confusion of the definition of sound levels in air vs. sound levels in water. If a given number of decibels in water are interpreted as decibels in air, the sound level will seem to be orders of magnitude larger than it really is - at one point the ATOC sound levels were erroneously interpreted as "louder than 10,000 747 airplanes".^[5] In fact, the sound levels employed, 250 W, were comparable those made by blue or fin whales, although those whales vocalize at much lower frequencies. The ocean carries sound so efficiently that sounds do not have to be that loud to cross ocean basins. Other factors in the controversy were the extensive history of activism where marine mammals are concerned, stemming from the on-going whaling conflict, and the sympathy that much of the public feels toward marine mammals.^[13]

As a result of this controversy, the ATOC program conducted a $6 million study of the effects of the acoustic transmissions on a variety of marine mammals. After six years of study the official, formal conclusion from this study was that the ATOC transmissions have "no significant biological impact".^{[14][15][16][17]}

Other acoustics activities in the ocean are not so benign insofar as marine mammals are concerned: air gun shots for geophysical surveys, and some of the louder transmissions by the U.S. Navy for various purposes are documented to present a threat to marine mammals.^{[citation needed]} The actual threat depends on a variety of factors beyond noise levels: sound frequency, frequency and duration of transmissions, the nature of the acoustic signal (e.g., a sudden pulse, or coded sequence), depth of the sound source, directionality of the sound source, water depth and local topography, reverberation, etc.

In the case of the ATOC, the source was mounted on the bottom about a half mile deep, hence marine mammals, which are bound to the surface, were generally further than a half mile from the source. This fact, combined with the modest source level, the infrequent 2% duty cycle (the sound is on only 2% of the day), and other such factors, made the sound transmissions benign in its effect on marine life.

Types of transmitted acoustic signals

Tomographic transmissions consist of long coded signals (e.g., "m-sequences") lasting 30 seconds or more. The frequencies employed range from 50 to 1000 Hz and source levels range from 100-250 W, depending on the particular goals of the measurements. With precise timing such as from GPS, travel times can be measured to a nominal accuracy of 1 millisecond. While these transmissions are audible near the source, beyond a range of several kilometers the signals are usually below ambient noise levels, requiring sophisticated spread-spectrum signal processing techniques to recover them.

See also

• Underwater acoustics
• Acoustical oceanography
• Speed of sound
• SOFAR channel
• SOSUS
• Ray tracing
• TOPEX/Poseidon satellite altimetry

References

External links

• Ocean Acoustics Lab (OAL) - the Woods Hole Oceanographic Institution.
• The North Pacific Acoustic Laboratory (NPAL) - the Scripps Institution of Oceanography, La Jolla, CA.
• Acoustic Thermometry of Ocean Climate - the Scripps Institution of Oceanography, La Jolla, CA.
• Discovery of Sound in the Sea - DOSITS is an educational website concerned with acoustics in the ocean.
• Sounds of acoustic signals employed for tomography - the DOSITS web page.
• A day in the life of a tomography mooring - University of Washington, Seattle, WA.
• Sounding Out the Ocean's Secrets - National Academy of Sciences.
• Sound Measures the Ocean's Secrets - Acoustical Society of America.
• The Acoustic Thermometry of Ocean Climate/Marine Mammal Research Program Cornell University Laboratory of Ornithology, Bioacoustics Research Program

v t e Hydroacoustics Sonar Active acoustics Baffles (submarine) Bistatic sonar Echo sounding Fessenden oscillator GLORIA sidescan sonar Multibeam echosounder Passive acoustics Scientific echosounder Side-scan sonar Sonar beamforming Sonobuoy Surveillance Towed Array Sensor System Synthetic aperture sonar Towed array sonar Upward looking sonar Ocean acoustics Acoustic network Acoustic release Acoustic Doppler Current Profiler Acoustic Seabed Classification Acoustical oceanography Hydrophone Long baseline acoustic positioning system Ocean acoustic tomography Short baseline acoustic positioning system Sofar bomb SOFAR channel Sound speed gradient Sound velocity probe Ultra-short baseline Underwater acoustics Underwater acoustic communication Underwater acoustic positioning system Acoustic ecology Acoustic survey in fishing Acoustic tag Animal echolocation Beached whale Fishfinder Fisheries acoustics Hearing range of marine mammals Marine mammals and sonar Whale song Related topics Acoustic signature Bioacoustics Biophony Geophysical MASINT Hydrographic survey Noise map Soundscape

v t e Physical oceanography – Waves and currents Waves Airy wave theory Ballantine Scale Benjamin–Feir instability Boussinesq approximation Breaking wave Clapotis Cnoidal wave Cross sea Dispersion Infragravity wave Edge wave Equatorial waves Fetch Freak wave Gravity wave Internal wave Kelvin wave Kinematic wave Luke's variational principle Mild-slope equation Radiation stress Rogue wave Rossby wave Rossby-gravity waves Sea state Seiche Significant wave height Sneaker wave Soliton Stokes boundary layer Stokes drift Stokes wave Surf wave Swells Tsunami Undertow Ursell number Wave action Wave base Wave–current interaction Wave height Wave power Wave setup Wave shoaling Wave radar Wave turbulence Waves and shallow water Shallow water equations 1-D Saint Venant equation Wind wave Wind wave model More... Circulation Atmospheric circulation Baroclinity Boundary current Coriolis effect Downwelling Eddy Ekman layer Ekman spiral Ekman transport El Niño–Southern Oscillation Geostrophic current Gulf Stream Halothermal circulation Humboldt Current Hydrothermal circulation Global circulation model Langmuir circulation Longshore drift Loop Current Maelstrom Ocean current Ocean dynamics Ocean gyre Rip current Thermohaline circulation Shutdown of thermohaline circulation Subsurface currents Sverdrup balance Whirlpool Upwelling GLODAP MOM POM WOCE More... Tides Amphidromic point Earth tide Head of tide Internal tide Lunitidal interval Perigean spring tide Rule of twelfths Slack water Spring/neap tide Tidal bore Tidal force Tidal power Tidal race Tidal range Tidal resonance Tide Tide gauge Tideline More...

v t e Physical oceanography – Other Landforms Abyssal fan Abyssal plain Atoll Bathymetric chart Cold seep Continental margin Continental rise Continental shelf Contourite Hydrography Guyot Oceanic basin Oceanic plateau Oceanic trench Passive margin Seabed Seamount Submarine canyon Coastal geography More... Plate tectonics Black smoker Convergent boundary Divergent boundary Fracture zone Hydrothermal vent Marine geology Mid-ocean ridge Mohorovičić discontinuity Vine–Matthews–Morley hypothesis Oceanic crust Outer trench swell Ridge push Seafloor spreading Slab pull Slab suction Slab window Subduction Transform fault Volcanic arc More... Ocean zones Benthic Deep ocean water Deep sea Littoral Mesopelagic Oceanic zone Pelagic Photic Surf zone Sea level Current sea level rise Future sea level Sea-level curve DART GLOSS NOOS OSTM WGS Acoustics Ocean acoustic tomography Sofar bomb SOFAR channel Underwater acoustics Hydroacoustics Other Alvin Argo Benthic lander Color of water Marginal sea Marine energy Mooring Ocean Ocean exploration Ocean observations Ocean pollution Ocean reanalysis Ocean surface topography Ocean thermal energy conversion Oceanography Pelagic sediment Sea surface microlayer Sea surface temperature Seawater Science On a Sphere Thermocline Underwater glider Water column World Ocean Atlas NODC More...