US Navy decompression models and tables

Last updated

The US Navy has used several decompression models from which their published decompression tables and authorized diving computer algorithms have been derived. The original C&R tables used a classic multiple independent parallel compartment model based on the work of J.S.Haldane in England in the early 20th century, using a critical ratio exponential ingassing and outgassing model. Later they were modified by O.D. Yarborough and published in 1937. A version developed by Des Granges was published in 1956. Further developments by M.W. Goodman and Robert D. Workman using a critical supersaturation approach to incorporate M-values, and expressed as an algorithm suitable for programming were published in 1965, and later again a significantly different model, the VVAL 18 exponential/linear model was developed by Edward D. Thalmann, using an exponential ingassing model and a combined exponential and linear outgassing model, which was further developed by Gerth and Doolette and published in Revision 6 of the US Navy Diving Manual as the 2008 tables.

Contents

Besides the air and heliox tables for open circuit bounce dives, the US Navy has published a variety of hyperbaric treatment schedules, decompression tables for open and closed circuit heliox and nitrox, tables incorporating surface decompression on oxygen, a system for modifying tables for use at high altitudes (Cross corrections), and saturation tables for various breathing gas mixtures. Many of these tables have been tested on human subjects, frequently with a result of symptomatic decompression sickness, and for this reason their test results are considered some of the most reliable available.

US Navy tables have generally been freely available for use by the general public, and have often been modified to further reduce risk, as commercial and recreational divers do not always fit the physical requirements for military divers, may not have a recompression chamber on site to manage decompression sickness on those occasions when it does occur, and may prefer to operate at a lower risk than military personnel. Several recreational diving tables were originally based on US Navy diving tables.

C&R tables

In 1912, Chief Gunner George D. Stillson of the United States Navy created a program to test and refine Haldane's tables. [1] This program ultimately led to the first publication of the United States Navy Diving Manual and the establishment of a Navy Diving School in Newport, Rhode Island. Diver training programs were later cut at the end of World War I.

The first decompression tables produced for the U.S. Navy were developed by the Bureau of Construction and Repair and published in 1915, and were consequently known as the C&R tables. [2] They were derived from a Haldanean model, with oxygen decompression, to depths up to 300 ft on air, and were successfully used to depths of slightly over 300 ft [3] :3–1

1937 tables

1939 Heliox tables

In 1939, after the recovery of USS Squalus, tables were published for surface supplied Heliox diving. [6] :1–17

1956 tables

Recompression tables

Although recompression and slow decompression were the accepted treatment, there was not yet a standard for either the recompression pressure or the rate of decompression. This changed when the first standard table for recompression treatment with air was published in the US Navy Diving Manual in 1924. These tables were not entirely successful - there was a 50% relapse rate, and the treatment, though fairly effective for mild cases, was less effective in serious cases. [9]

In 1965,[ clarification needed ] M.W. Goodman and Robert D. Workman introduced recompression tables using oxygen to accelerate elimination of inert gas. [15] [16]

Saturation tables

Once all the tissue compartments have reached saturation for a given pressure and breathing mixture, continued exposure will not increase the gas loading of the tissues. From this point onward the required decompression remains the same. If divers work and live at pressure for a long period, and are decompressed only at the end of the period, the risks associated with decompression are limited to this single exposure. This principle has led to the practice of saturation diving, and as there is only one decompression, and it is done in the relative safety and comfort of a saturation habitat, the decompression is done on a very conservative profile, minimising the risk of bubble formation, growth and the consequent injury to tissues. A consequence of these procedures is that saturation divers are more likely to suffer decompression sickness symptoms in the slowest tissues, [17] whereas bounce divers are more likely to develop bubbles in faster tissues.[ citation needed ]

Decompression from a saturation dive is a slow process. The rate of decompression typically ranges between 3 and 6 fsw (0.9 and 1.8 msw) per hour. The US Navy Heliox saturation decompression rates require a partial pressure of oxygen to be maintained at between 0.44 and 0.48 atm when possible, but not to exceed 23% by volume, to restrict the risk of fire. [18]

US Navy heliox saturation decompression table [18]
DepthAscent rate
1600 to 200 fsw (488 to 61 msw)6 fsw (1.83 msw) per hour
200 to 100 fsw (61 to 30 msw)5 fsw (1.52 msw) per hour
100 to 50 fsw (30 to 15 msw)4 fsw (1.22 msw) per hour
50 to 0 fsw (15 to 0 msw)3 fsw (0.91 msw) per hour

For practicality the decompression is done in increments of 1 fsw at a rate not exceeding 1 fsw per minute, followed by a stop, with the average complying with the table ascent rate. Decompression is done for 16 hours in 24, with the remaining 8 hours split into two rest periods. A further adaptation generally made to the schedule is to stop at 4 fsw for the time that it would theoretically take to complete the decompression at the specified rate, i.e. 80 minutes, and then complete the decompression to surface at 1 fsw per minute. This is done to avoid the possibility of losing the door seal at a low pressure differential and losing the last hour or so of slow decompression. [18]

U.S. Navy E-L algorithm and the 2008 tables

In 1983, Edward D. Thalmann published the E-L model for constant PO2 nitrox and heliox closed circuit rebreathers, [19] in 1984 published U.S. Navy Exponential-Linear algorithm and tables for constant PO2 Nitrox closed circuit rebreather (CCR) applications, [20] and in 1985 Thalmann extended use of the E-L model for constant PO2 heliox closed circuit rebreathers. [21]

In 2007, Wayne Gerth and David J. Doolette published VVal 18 and VVal 18M parameter sets for tables and programs based on the Thalmann E-L algorithm, and produced an internally compatible set of decompression tables for open circuit and CCR on air and nitrox, including in water air/oxygen decompression and surface decompression on oxygen. [20]

In 2008 the US Navy Diving Manual Revision 6 was published, which includes a version of the 2007 tables by Gerth & Doolette. [14] The air decompression tables in Revision 6 of the U.S. Navy Diving Manual combine decompression tables for air diving with schedules for decompression on air, air and in-water oxygen, and surface decompression using oxygen. The tables were computed using version VVal-18M of the Thalmann exponential-linear decompression model.

VVAL 18 algorithm

The Thalmann Algorithm (VVAL 18) is a deterministic decompression model originally designed in 1980 to produce a decompression schedule for divers using the US Navy Mk15 rebreather. [22] It was developed by Capt. Edward D. Thalmann, MD, USN, who did research into decompression theory at the Naval Medical Research Institute, Navy Experimental Diving Unit, State University of New York at Buffalo, and Duke University. The algorithm forms the basis for the US Navy mixed gas and standard air dive tables published in US Navy Diving Manual Revisions 6 and 7. [23] This decompression model is also referred to as the Linear–Exponential model or the Exponential–Linear model. [24]

US Navy Diving Manual Revision 7

As of January 2023 the currently approved decompression tables are listed in Revision 7 of the US Navy Diving Manual.

US Navy dive computers

In 1984 the US Navy diving computer (UDC) which was based on a 9 tissue model by Edward D. Thalmann of the Naval Experimental Diving Unit (NEDU), Panama City. Divetronic AG completed the UDC development – as it had been started by the chief engineer Kirk Jennings of the Naval Ocean System Center, Hawaii, and Thalmann of the NEDU – by adapting the Deco Brain for US Navy warfare use and for their 9-tissue MK-15 mixed gas model under a research and development contract with the US Navy.[ citation needed ]

In 2001, the US Navy approved the use of Cochran NAVY decompression computer with the VVAL 18 Thalmann algorithm for Special Warfare operations. [25] [26] [27]

As of 2023, Shearwater Research has supplied dive computers to the US Navy with an exponential/linear algorithm bases on the Thalman algorithm since Cochran Undersea Technology closed down after the death of the owner. This algorithm is not as of 2024 available to the general public on Shearwater computers, although the algorithm is freely available and known to be lower risk than the Buhlmann algorithm for mixed gas and constant set-point CCR diving at deeper depths, which is the primary market for Shearwater products. [28] [29]

Validation

It is important that any theory be validated by carefully controlled testing procedures. As testing procedures and equipment become more sophisticated, researchers learn more about the effects of decompression on the body. Initial research focused on producing dives that were free of recognizable symptoms of decompression sickness (DCS). With the later use of Doppler ultrasound testing, it was realized that bubbles were forming within the body even on dives where no DCI signs or symptoms were encountered. This phenomenon has become known as "silent bubbles". The presence of venous gas emboli is considered a low specificity predictor of decompression sickness, but their absence is recognised to be a sensitive indicator of low risk decompression, therefore the quantitative detection of VGE is thought to be useful as an indicator of decompression stress when comparing decompression strategies, or assessing the efficiency of procedures. [30]

The US Navy 1956 tables were based on limits determined by external DCS signs and symptoms. Later researchers were able to improve on this work by adjusting the limitations based on Doppler testing. However the US Navy CCR tables based on the Thalmann algorithm also used only recognisable DCS symptoms as the test criteria. [31] [24] Since the testing procedures are lengthy and costly, and there are ethical limitations on experimental work on human subjects with injury as an endpoint, it is common practice for researchers to make initial validations of new models based on experimental results from earlier trials. This has some implications when comparing models. [3] :Ch10

Cross altitude corrections

At altitude, atmospheric pressure is lower than at sea level, so surfacing at the end of an altitude dive leads to a greater relative reduction in pressure and an increased risk of decompression sickness compared to the same dive profile at sea level. [34] The dives are also typically carried out in freshwater at altitude so it has a lower density than seawater used for calculation of decompression tables. [34] The amount of time the diver has spent acclimatising at altitude is also of concern as divers with gas loadings near those of sea level may also be at an increased risk. [34] The US Navy recommends waiting 12 hours following arrival at altitude before performing the first dive. [35] cut to move The tissue supersaturation following an ascent to altitude can also be accounted for by considering it to be residual nitrogen and allocating a residual nitrogen group when using tables with this facility. [35]

The most common of the modifications to decompression tables at altitude are the "Cross Corrections" which use a ratio of atmospheric pressure and sea level to that of the altitude to provide a conservative equivalent sea level depth. [36] [37] The procedure is described in detail in the U.S. Navy Diving Manual

See also

Related Research Articles

<span class="mw-page-title-main">Decompression sickness</span> Disorder caused by dissolved gases forming bubbles in tissues

Decompression sickness is a medical condition caused by dissolved gases emerging from solution as bubbles inside the body tissues during decompression. DCS most commonly occurs during or soon after a decompression ascent from underwater diving, but can also result from other causes of depressurisation, such as emerging from a caisson, decompression from saturation, flying in an unpressurised aircraft at high altitude, and extravehicular activity from spacecraft. DCS and arterial gas embolism are collectively referred to as decompression illness.

<span class="mw-page-title-main">Saturation diving</span> Diving decompression technique

Saturation diving is diving for periods long enough to bring all tissues into equilibrium with the partial pressures of the inert components of the breathing gas used. It is a diving mode that reduces the number of decompressions divers working at great depths must undergo by only decompressing divers once at the end of the diving operation, which may last days to weeks, having them remain under pressure for the whole period. A diver breathing pressurized gas accumulates dissolved inert gas used in the breathing mixture to dilute the oxygen to a non-toxic level in the tissues, which can cause potentially fatal decompression sickness if permitted to come out of solution within the body tissues; hence, returning to the surface safely requires lengthy decompression so that the inert gases can be eliminated via the lungs. Once the dissolved gases in a diver's tissues reach the saturation point, however, decompression time does not increase with further exposure, as no more inert gas is accumulated.

In-water recompression (IWR) or underwater oxygen treatment is the emergency treatment of decompression sickness (DCS) by returning the diver underwater to help the gas bubbles in the tissues, which are causing the symptoms, to resolve. It is a procedure that exposes the diver to significant risk which should be compared with the risk associated with the available options and balanced against the probable benefits. Some authorities recommend that it is only to be used when the time to travel to the nearest recompression chamber is too long to save the victim's life; others take a more pragmatic approach and accept that in some circumstances IWR is the best available option. The risks may not be justified for case of mild symptoms likely to resolve spontaneously, or for cases where the diver is likely to be unsafe in the water, but in-water recompression may be justified in cases where severe outcomes are likely if not recompressed, if conducted by a competent and suitably equipped team.

<span class="mw-page-title-main">Diving chamber</span> Hyperbaric pressure vessel for human occupation used in diving operations

A diving chamber is a vessel for human occupation, which may have an entrance that can be sealed to hold an internal pressure significantly higher than ambient pressure, a pressurised gas system to control the internal pressure, and a supply of breathing gas for the occupants.

<span class="mw-page-title-main">Edward D. Thalmann</span> American hyperbaric medicine specialist and decompression researcher

Capt. Edward Deforest Thalmann, USN (ret.) was an American hyperbaric medicine specialist who was principally responsible for developing the current United States Navy dive tables for mixed-gas diving, which are based on his eponymous Thalmann Algorithm (VVAL18). At the time of his death, Thalmann was serving as assistant medical director of the Divers Alert Network (DAN) and an assistant clinical professor in anesthesiology at Duke University's Center for Hyperbaric Medicine and Environmental Physiology.

The Thalmann Algorithm is a deterministic decompression model originally designed in 1980 to produce a decompression schedule for divers using the US Navy Mk15 rebreather. It was developed by Capt. Edward D. Thalmann, MD, USN, who did research into decompression theory at the Naval Medical Research Institute, Navy Experimental Diving Unit, State University of New York at Buffalo, and Duke University. The algorithm forms the basis for the current US Navy mixed gas and standard air dive tables. The decompression model is also referred to as the Linear–Exponential model or the Exponential–Linear model.

In physiology, isobaric counterdiffusion (ICD) is the diffusion of different gases into and out of tissues while under a constant ambient pressure, after a change of gas composition, and the physiological effects of this phenomenon. The term inert gas counterdiffusion is sometimes used as a synonym, but can also be applied to situations where the ambient pressure changes. It has relevance in mixed gas diving and anesthesiology.

<span class="mw-page-title-main">United States Navy Experimental Diving Unit</span> The primary source of diving and hyperbaric operational guidance for the US Navy

The United States Navy Experimental Diving Unit is the primary source of diving and hyperbaric operational guidance for the US Navy. It is located within the Naval Support Activity Panama City in Panama City Beach, Bay County, Florida.

<span class="mw-page-title-main">Decompression (diving)</span> Pressure reduction and its effects during ascent from depth

The decompression of a diver is the reduction in ambient pressure experienced during ascent from depth. It is also the process of elimination of dissolved inert gases from the diver's body which accumulate during ascent, largely during pauses in the ascent known as decompression stops, and after surfacing, until the gas concentrations reach equilibrium. Divers breathing gas at ambient pressure need to ascend at a rate determined by their exposure to pressure and the breathing gas in use. A diver who only breathes gas at atmospheric pressure when free-diving or snorkelling will not usually need to decompress. Divers using an atmospheric diving suit do not need to decompress as they are never exposed to high ambient pressure.

<span class="mw-page-title-main">Decompression practice</span> Techniques and procedures for safe decompression of divers

To prevent or minimize decompression sickness, divers must properly plan and monitor decompression. Divers follow a decompression model to safely allow the release of excess inert gases dissolved in their body tissues, which accumulated as a result of breathing at ambient pressures greater than surface atmospheric pressure. Decompression models take into account variables such as depth and time of dive, breathing gasses, altitude, and equipment to develop appropriate procedures for safe ascent.

<span class="mw-page-title-main">History of decompression research and development</span> Chronological list of notable events in the history of diving decompression.

Decompression in the context of diving derives from the reduction in ambient pressure experienced by the diver during the ascent at the end of a dive or hyperbaric exposure and refers to both the reduction in pressure and the process of allowing dissolved inert gases to be eliminated from the tissues during this reduction in pressure.

<span class="mw-page-title-main">Decompression theory</span> Theoretical modelling of decompression physiology

Decompression theory is the study and modelling of the transfer of the inert gas component of breathing gases from the gas in the lungs to the tissues and back during exposure to variations in ambient pressure. In the case of underwater diving and compressed air work, this mostly involves ambient pressures greater than the local surface pressure, but astronauts, high altitude mountaineers, and travellers in aircraft which are not pressurised to sea level pressure, are generally exposed to ambient pressures less than standard sea level atmospheric pressure. In all cases, the symptoms caused by decompression occur during or within a relatively short period of hours, or occasionally days, after a significant pressure reduction.

<span class="mw-page-title-main">Hyperbaric treatment schedules</span> Planned hyperbaric exposure using a specified breathing gas as medical treatment

Hyperbaric treatment schedules or hyperbaric treatment tables, are planned sequences of events in chronological order for hyperbaric pressure exposures specifying the pressure profile over time and the breathing gas to be used during specified periods, for medical treatment. Hyperbaric therapy is based on exposure to pressures greater than normal atmospheric pressure, and in many cases the use of breathing gases with oxygen content greater than that of air.

<span class="mw-page-title-main">Decompression equipment</span> Equipment used by divers to facilitate decompression

There are several categories of decompression equipment used to help divers decompress, which is the process required to allow divers to return to the surface safely after spending time underwater at higher ambient pressures.

<span class="mw-page-title-main">Physiology of decompression</span> The physiological basis for decompression theory and practice

The physiology of decompression is the aspect of physiology which is affected by exposure to large changes in ambient pressure. It involves a complex interaction of gas solubility, partial pressures and concentration gradients, diffusion, bulk transport and bubble mechanics in living tissues. Gas is breathed at ambient pressure, and some of this gas dissolves into the blood and other fluids. Inert gas continues to be taken up until the gas dissolved in the tissues is in a state of equilibrium with the gas in the lungs, or the ambient pressure is reduced until the inert gases dissolved in the tissues are at a higher concentration than the equilibrium state, and start diffusing out again.

<span class="mw-page-title-main">Built-in breathing system</span> System for supply of breathing gas on demand within a confined space

A built-in breathing system is a source of breathing gas installed in a confined space where an alternative to the ambient gas may be required for medical treatment, emergency use, or to minimise a hazard. They are found in diving chambers, hyperbaric treatment chambers, and submarines.

<i>U.S. Navy Diving Manual</i> Training and operations handbook

The U.S. Navy Diving Manual is a book used by the US Navy for diver training and diving operations.

Inner ear decompression sickness, (IEDCS) or audiovestibular decompression sickness is a medical condition of the inner ear caused by the formation of gas bubbles in the tissues or blood vessels of the inner ear. Generally referred to as a form of decompression sickness, it can also occur at constant pressure due to inert gas counterdiffusion effects.

References

  1. Stillson, G.D. (1915). "Report in Deep Diving Tests". US Bureau of Construction and Repair, Navy Department. Technical Report.
  2. 1 2 3 Powell, Mark (2008). Deco for Divers. Southend-on-Sea: Aquapress. ISBN   978-1-905492-07-7.
  3. 1 2 3 4 Huggins, Karl E. (1992). Dynamics of decompression workshop. Course Taught at the University of Michigan.
  4. US Navy. "Diving in the U.S. Navy: A Brief History". Naval History and Heritage Command website. Retrieved 2 March 2016.
  5. Acott, C. (1999). "A brief history of diving and decompression illness". South Pacific Underwater Medicine Society Journal. 29 (2). ISSN   0813-1988. OCLC   16986801.
  6. US Navy (1 December 2016). U.S. Navy Diving Manual Revision 7 SS521-AG-PRO-010 0910-LP-115-1921 (PDF). Washington, DC.: US Naval Sea Systems Command.
  7. Des Granges, M. (1956). Standard air decompression tabLe. Research Report 5-57 (Report). Washington, D.C.: U.S. Navy Experimental Diving Unit.
  8. 1 2 Beckman, Edward L. (October 1976). Recommendations for Impmved Air Decompression Schedules for Commercial Diving (PDF). Sea Grant Technical Report UNIHI-SEAGRANT-TR-76-02 (Report). NOAA Office of Sea Grant. Retrieved 3 January 2022.
  9. Berghage, T.E.; Vorosmarti, J. Jr.; Barnard, E.E.P. (1978). Recompression treatment tables used throughout the world by government and industry. Technical Report NMRI-78-16 (Report). US Naval Medical Research Center.
  10. 1 2 3 4 5 U.S. Navy Department (1943). Diving Manual. Washington, D.C.: U.S. Government Printing Office.
  11. 1 2 3 4 "Treatment of decompression sickness". BUMED News Letter. 3 (10): 5–6. 12 May 1944.
  12. 1 2 3 4 5 6 US Navy Department (1958). Diving Manual, NAVSHIPS, 250-538. Washington, D.C.: U.S. Government Printing Office.
  13. 1 2 3 4 5 U.S. Navy Department (1975). U.S. Navy Diving Manual NAVSEA 099-LP-001-9010. Vol. 1, Change 1. Washington, D.C.: U.S. Government Printing Office.
  14. 1 2 3 4 US Navy (2008). US Navy Diving Manual, 6th revision. United States: US Naval Sea Systems Command. Retrieved 15 June 2008.
  15. How, J.; West, D.; Edmonds, C. (June 1976). "Decompression sickness and diving". Singapore Medical Journal. 17 (22): 92–97. PMID   982095.
  16. Goodman, M.W.; Workman, R.D. (1965). Minimal-recompression, oxygen-breathing approach to treatment of decompression sickness in divers and aviators. Technical Report NEDU-RR-5-65 (Report). United States Navy Experimental Diving Unit. PMID   5295232.
  17. Berghage, T.E. (1976). "Decompression sickness during saturation dives". Undersea Biomedical Research Volume=3. 3 (4): 387–398. PMID   10897865.
  18. 1 2 3 US Navy (2006). "15". US Navy Diving Manual, 6th revision. United States: US Naval Sea Systems Command. Archived from the original on 2 May 2008. Retrieved 15 June 2008.
  19. Thalmann, E.D. (1983). Computer Algorithms Used in Computing the Mk 15/16 Constant 0.7 ATA Oxygen Partial Pressure Decompression Tables. NEDU Report No. 1-83 (Report). Panama City, Florida: Navy Experimental Diving Unit.
  20. 1 2 Gerth, Wayne A; Doolette, David J. (2007). VVal-18 and VVal-18M Thalmann Algorithm – Air Decompression Tables and Procedures. TA 01-07, NEDU TR 07-09 (Report). Navy Experimental Diving Unit.
  21. Thalmann, E. D. (1985). Development of a Decompression Algorithm for Constant Oxygen Partial Pressure in Helium Diving. NEDU Report No. 1–85 (Report). Navy Exp. Diving Unit Res.
  22. Thalmann, Edward D.; Buckingham, I.P.B.; Spaur, W.H. (1980). "Testing of decompression algorithms for use in the U.S. Navy underwater decompression computer (Phase I)". Navy Experimental Diving Unit Research Report. 11–80.
  23. Staff (September 2008). "VVAL-18M: New algorithm on deck for Navy divers". Diver Magazine. 33 (7).
  24. 1 2 Thalmann, E.D. (1985). Air-N202 Decompression Computer Algorithm Development. NEDU Report No. 8-85 (Report). Navy Exp. Diving Unit Res.
  25. Butler, Frank K.; Southerland, David (2001). "The U.S. Navy decompression computer". Undersea and Hyperbaric Medicine. 28 (4): 213–28. PMID   12153150.
  26. Butler, Frank K. (2001). "The U.S. Navy Decompression Computer". Undersea & Hyperbaric Medicine. 28 (4): 213–228. PMID   12153150.
  27. Lander, Carlos E. (2 May 2021). "They Helped Foment a Dive Computing Revolution: RIP Cochran Undersea Technology (1986-2020)". gue.com. Retrieved 29 May 2021.
  28. Doolette, David (20–22 April 2023). Advances In Decompression Theory And Practice. Rebreather Forum 4. Valetta, Malta. Archived from the original on 16 April 2024. Retrieved 16 April 2024 via gue.tv.
  29. Blömeke, Tim (3 April 2024). "Dial In Your DCS Risk with the Thalmann Algorithm". InDepth. Archived from the original on 16 April 2024. Retrieved 16 April 2024.
  30. Hugon, Julien; Metelkina, Asya; Barbaud, A; Nishi, R; Bouak, F; Blatteau, J-E; Gempp, E (September 2018). "Reliability of venous gas embolism detection in the subclavian area for decompression stress assessment following scuba diving". Diving and Hyperbaric Medicine. 48 (3): 132–140. doi:10.28920/dhm48.3.132-140. PMC   6205931 . PMID   30199887.
  31. Thalmann, E.D. (1984). Phase II testing of decompression algorithms for use in the U.S. Navy underwater decompression computer. Research report 1–84 (Report). Navy Exp. Diving Unit.
  32. Parker, E.C; Survanshi, S.S.; Thalmann, Edward D.; Weathersby, P.K. "Developing the New US Navy Tables" (PDF). AquaCorps. No. 8. pp. 54–60. Retrieved 3 January 2023.
  33. Gerth, Wayne A.; Doolette, David J. (June 2009). Schedules in the Integrated Air Decompression Table of U.S. Navy Diving Manual, Revision 6: Computation and Estimated Risks of Decompression Sickness. TA 08-20 NEDU TR 09-05 (Report). Panama City, FL: Navy Experimental Diving Unit.
  34. 1 2 3 Brubakk, A. O.; Neuman, T. S., eds. (2003). Bennett and Elliott's physiology and medicine of diving (5th Rev ed.). United States: Saunders Ltd. p. 800. ISBN   0-7020-2571-2.
  35. 1 2 US Navy Diving Manual, 6th revision. United States: US Naval Sea Systems Command. 2006. Archived from the original on 2 May 2008. Retrieved 24 April 2008.
  36. Cross, E. R. (1967). "Decompression for high-altitude diving". Skin Diver. 16 (12): 60.
  37. Cross, E. R. (1970). "Technifacts: high altitude decompression". Skin Diver. 19 (11): 17–18, 59.