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Hangor Class Submarine Project | Updates & Discussions

didn't thailand paid 390 per piece or those are different subs?.
S26T for Thailand and S20P for Pakistan, different types. And TOT for Pakistan, and off the shelf to Thailand.

The S20P is a customized version tailoring Pakistan navy's tactical need.

The acoustic quietness is approximately to 90DB.
 
S26T for Thailand and S20P for Pakistan, different types. And TOT for Pakistan, and off the shelf to Thailand.

The S20P is a customized version tailoring Pakistan navy's tactical need.

The acoustic quietness is approximately to 90DB.
90dB is VERY impressive. Can you please share some source of this info or the reason that you think this is around 90dB? Also kindly please mentioned the speed at which we will get this noise signature. It surely will go up with speed.
 
90dB is VERY impressive. Can you please share some source of this info or the reason that you think this is around 90dB? Also kindly please mentioned the speed at which we will get this noise signature. It surely will go up with speed.
China PLAN vice Admiral Huang Guang Yu in CCTV4 disclosed that the current type 039b/c's ascoustic quietness is around 90 DB. Since the S20P is based on 039B, so I boldly presume it. You know there is always a dominating reason why PN choose this one:azn:

Since China had spent tons of money in noise reduction, time to harvest victory.
 
China PLAN vice Admiral Huang Guang Yu in CCTV4 disclosed that the current type 039b/c's ascoustic quietness is around 90 DB. Since the S20P is based on 039B, so I boldly presume it. You know there is always a dominating reason why PN choose this one:azn:

Since China had spent tons of money in noise reduction, time to harvest victory.
90 DB is VERY impressive. I hope it is at max speed or it is the max level the noise goes to. Even if it is normal speed noise level i think it is pretty decent.

@Penguin would you agree?
 
We prefer everything in low down. If all the stuff disclosed, our enemy can't sleep tight. You know the China threat theory.

Those black technology.....

image.jpeg


I call it Soryu killer.

Look at the corner fillet in front of the conning tower to reduce the noise.
 
We prefer everything in low down. If all the stuff disclosed, our enemy can't sleep tight. You know the China threat theory.

Those black technology.....

View attachment 404094

I call it Soryu killer.

Look at the corner fillet in front of the conning tower to reduce the noise.
Essay: Inside the Design of China’s Yuan-class Submarine
By: Capt. Christopher P. Carlson, USN (Retired)
August 31, 2015 2:13 PM • Updated: August 31, 2015 5:39 PM


People’s Liberation Army’s Navy (PLAN) Yuan-class submarine.
China’s evolving submarine force is a topic worthy of sober examination and debate. However, for the discussion to be useful in informing both national policy-makers and citizenry alike, the content must be based on accurate data and sound analysis. Unfortunately, both are often found wanting when it comes to English-language reporting on the People’s Liberation Army Navy (PLAN). A recent USNI News essay, continues this trend. In the essay, Henry Holst, argues that the Type 039A/B Yuan-class submarine was “designed primarily as an anti-ship cruise missile (ASCM) platform capable of hiding submerged for long periods of time in difficult to access shallow littorals.”

He bases his conclusions on the Yuan’s “small” size, air-independent power (AIP) system, and long-range ASCM capability, which make it ideal to operate in shallow, coastal waters. While I wholeheartedly agree that the Type 039A/B is a fine anti-surface platform, the main points of the essay’s argument is based on a misunderstanding of largely inaccurate data. This rebuttal will examine the key points of the essay’s argument and show that the Type 039 A/B Yuan-class is, in fact, an open-ocean submarine designed to meet the needs of the PLAN’s near-seas active defense aspect of their maritime strategy, and not primarily a boat to operate in Taiwan’s coastal waters.

Yuan-Class Submarine Size
The assessment the Type 039A/B Yuan-class is a small submarine, designed to operate in the shallow littorals, is arguably the linchpin of the essay’s conclusion. A key point used in support of this position is a comparison of the Yuan-class with Japan’s Soryu-class, another AIP equipped submarine, where it is argued the Yuan is comparatively “far smaller.”

In particular, Holst focuses in on the Soryu’s “draft” of 10.3 meters. This figure is highly suspect. When a submarine’s draft exceeds its beam, you might want to check your data. The 10.3-meter figure is not the draft of the Soryu class. Rather, it is the submarine’s “depth”— the vertical distance from its keel, to the top of the freeboard deck, measured at mid-length of the vessel. A submarine’s draft is included in its depth. A number of open sources list the Soryu’s draft as 8.5 meters, and a review of online photos of the fore and aft draft markings shows the draft as 8.3 meters, very close to the published value.

The description of the Type 039A/B Yuan-class submarine’s dimensions is also inaccurate. However, that reflects more the inadequacies of traditional Western sources that do not address PLAN platform and systems very well. In his essay, Holst specifically states, “PLAN naval architects deliberately maintained the Song-class’s size even with the installation of an AIP system.” While the author recognizes that trade-offs in the Type 039A/B Yuan design would have to be made, there is no attempt to suggest what they might have been. The author merely expresses his faith that the PLAN naval architects would have found a way to carve out the necessary space. This unqualified assertion is naïve at best.

Submarines are, by design, compact and severely limited in internal volume. One cannot just wave a magic wand and rearrange large propulsion plant components and squeeze out the considerable volume an AIP system requires. In particular, the cryogenic oxygen tank takes up a great deal of space—and the longer the submerged endurance, the bigger the tank. If the Song-class had that much spare volume to begin with, it would have been built smaller. There is no evidence the engineering spaces on a Song-class submarine have any extra unused volume. Video excerpts of the Type 039G show these submarines are just as cramped and constrained as one would expect. And since both the Song and Yuan use double-hull construction, a designer can’t even go after the fuel load, as the vast majority of the fuel is carried in tanks external to the pressure hull. Since the Yuan has an AIP system, it has to be bigger.

A review of Google Earth and hand-held photography indicates this is indeed the case. Google Earth imagery of both submarine classes berthed near each other shows the Yuanhas a larger beam than the Song-class. This strongly argues that the sources that hold to the narrower beam of 7.5 meters for the Type 039G Song are probably closer to the truth. Furthermore, analysis of hand-held imagery indicates that the Yuan is not only longer, but also has a deeper draft than the Song-class.


Soryu-class submarine, Hakuryu during a visit to Guam in 2013. Note the bow draft markings show the submarine’s draft is about 8.3 meters. US Navy Photo

Chinese submarines use the Russian system for draft markings. This means the markings do not show the draft by direct measurement, but rather it shows the deviation from an established draft. On Chinese submarines, the longer white line in the draft markings shows the submarine’s normal surface waterline, with deviations in the draft noted in 0.2-meter increments. From hand-held, broad aspect photographs of the Type 039A/B submarine, both in the water and out, one can accurately measure the waterline length and the length overall. The often-quoted length of 72 meters for the Yuan class is actually its waterline length. This value is also consistent with Google Earth measurements. The submarine’s overall length from the analysis is just over 77.2 meters, which is consistent with numerous Chinese-language websites that list the length as 77.6 meters. The same can be said of the normal surface draft that comes in at about 6.7 meters, greater than the 5.5-meter value held by many open Western source references.

Putting all of this together shows the Yuan is a large conventional submarine, only marginally smaller than a Soryu-class boat—on the order of 15 percent smaller. Perhaps a better comparison would be with the PLAN’s other large conventional submarine, the Russian-built Project 636 Kilo. That comparison shows the Yuan comes out as being slightly bigger than a late model Kilo. The table below lists the basic physical characteristics of the four submarines discussed in this article. Project 636 Kilo and Soryu-class data come from official sources, while Yuan and Song data are largely derived from the analysis mentioned above.

Thus, in stark contrast to the essay’s conclusion, the Type 039 A/B Yuan is not a small submarine at all. It is one of the largest conventional combat submarines in the PLAN inventory, and is no more maneuverable in shallow water than other large conventional submarine designs, such as the Kilo or Soryu-classes. If a navy truly wishes to invest in a “coastal submarine,” or SSC, then it would look at submarines like the German Type 205 and 206, and the North Korean Sango, all of which come in at less than 500 tons submerged displacement.


Type 039B Yuan-class submarine during rollout at the Jiangnan Shipyard on Changxing Island. Note the long white line in the draft markings, which designates the submarine’s normal surface waterline. Also note the low-frequency passive flank array just above the keel blocks.

Project 636 Kilo Type 039A/B Yuan Type 039GSong Soryu
Length Overall
73.8 m 77.6 m1 74.9 m 84.0 m
Beam
9.9 m 8.4 m 7.5 m 9.1 m
Draft
6.6 m 6.7 m2 5.7 m4 8.3 m5
Surface Displacement
2,350 tons 2,725 tons3 1,727 tons 2,947 tons
Submerged Displacement
3,125 tons 3,600 tons 2,286 tons 4,100 tons
Notes:
1) The often-quoted Type 039A/B length of 72 meters is waterline length, not length overall.
2) Type 039A/B draft is larger than the reported 5.5 meters that is nearly identical to the smaller Type 039G Song-class.
3) Yuan-class surfaced and submerged displacements come from Chinese language websites, of which there is some confusion on surface displacement. The value given on most Chinese websites (2,300 tons) would result in a reserve buoyancy of 50+ percent, which is not realistic. The estimated surface displacement in the table reflects a reserve buoyancy of 32 percent that is consistent with earlier Type 035 and 039G designs.
4) The reported 5.3-meter value for the Type 039G’s draft is suspect. Hand-held photos of this submarine in drydock suggest the draft is probably closer to 5.7 meters.
5) The draft of the Soryu-class is often listed as 8.5 meters, however, numerous photos of fore and aft draft markings show it is closer to 8.3 meters.

Shallow Water Environment
Designing a submarine to operate in very shallow water has other problems beyond just maneuvering. Holst correctly points out that the acoustic environment in coastal areas is chaotic and difficult, making it challenging for an antisubmarine platform to find a Yuan ensconced in such waters. But what is good for the gander is also good for the goose.

Radiated noise from shipping is far louder, and even with multiple bounces off the bottom and sea surface, a lot of the acoustic energy will still reach a submerged submarine’s sonar. With shipping, biologic, and wave noise coming in from both near and far, a Yuanwould be hard pressed to detect, track, and identify a target of interest; particularly as surface combatants tend to be quieter than civilian merchants. In other words, it will be very difficult to find and obtain an accurate fire control solution on a desired target without using a periscope to sort out the tactical picture. Doing so, however, would increase the submarine’s chances of being detected by radar or electro-optical sensors. Therefore, a submarine hugging the bottom in shallow coastal waters will be vexed by the same problem that an ASW ship has to deal with in looking for the submarine. But what is even more curious—if Chinese designers had intended from the very beginning for the Yuan-class to be a shallow water boat—why was a passive low frequency flank array put on these submarines?

The H/SQG-207 is a line of individual hydrophones mounted to the hull, and is designed to provide long-range detection against noisy ships—low frequency noise suffers lower absorption losses and travels further in water. The problem is this kind of array is most effective in deeper water where interference with the bottom is limited. Such an array would be severely degraded in very shallow water, offering little, if any benefit, beyond the capabilities of the medium frequency bow array. The fact that the H/SQG-207 array is on the Yuan-class argues strongly that its design operating areas are in deeper waters where this passive sonar can serve as the primary sensor.

PLAN Submarine Weaponry
Holst’s treatment of PLAN submarine weaponry shows it perpetuates a longstanding misunderstanding when it asserts that the Type 039A/B Yuan carries the C-802 ASCM. The fundamental problem with this is the C-802 is not a submarine-launched missile. In fact, the “C-802” designation is for an export surface, air, and land-based ASCM with a range of 120 kilometers, rather than the 180 kilometers stated in the essay. Of interest, there is no evidence the C802 was ever accepted by the PLAN. Lastly, it isn’t the same missile that the PLAN has fielded on the Type 039G, 039A/B, 091, and 093 submarines—the YJ-82. The YJ-82 is a solid-rocket propelled missile based on the YJ-8/8A ship-launched ASCM, but without the booster. The YJ-82 is launched in a buoyant capsule that is virtually identical to the U.S. submarine-launched Harpoon. Normally, the range of the YJ-8/8A is only 42 kilometers. But without the booster, the YJ-82’s range will be even less, possibly as short as 30 to 34 kilometers (16–18 nautical miles). This very short range means the launch will almost certainly be seen by its target, or an escort, as the missile will be within the radar horizon of most warships by the time it reaches ten meters in altitude. With such a short engagement range, the firing submarine’s location will be fixed quite quickly, with a counter-attack likely following shortly thereafter if a warship is nearby—flaming datums have a bad habit of attracting that sort of response. That is one of the key reasons why the PLAN submarine force is eagerly awaiting the fielding of the YJ-18, which reportedly has a maximum range of up to 220 kilometers.

With respect to the authors the Department of Defense’s, 2015 Annual Report to Congress, the cited range of 290nm (550km) for the YJ-18 in (p. 10) is undoubtedly a typographic error. It is virtually impossible for a missile that is very likely smaller than the SS-N-27B Sizzler to have a range that is almost two and a half times greater. The ranges given in the 2015 report for the YJ-8A and YJ-62 are also incorrect and reflect a reliance on inaccurate open source information.


The YJ-82 is the submarine launched version of the solid-rocket propelled YJ-8/8A. China Precision Machinery Import-Export Corporation Photo

Then there is essay’s explicit claim that the Yuan was designed “primarily as an anti-ship cruise missile (ASCM) platform.” While IHS Jane’s applies the “G” to the designation of any vessel that can physically fire an ASCM, this doesn’t make the submarine “primarily” a cruise missile platform. The U.S. intelligence community, NATO, and Russian designation systems require a submarine to be fitted with dedicated launchers, not just the torpedo tubes, to be called a guided-missile submarine. That is why there is such a furious debate as to whether or not the new Type 093B or 095 will have a vertical launch system—perhaps as many as 16 tubes. This will clearly indicate when the cruise missile (both anti-ship and land attack) has eclipsed the torpedo as the submarine’s main weapon.

Another point of interest is that the weapons carried by the Type 039A/B Yuan are identical to those on the Type 039G Song, to include both the current YJ-82 and the future YJ-18 ASCMs. And yet, Holst makes no mention of the Song-class having the exact same weapons capability, both in terms of the number of torpedo tubes and weapons carried. The Type 039A/B Yuan-class will undoubtedly be the more effective ASCM platform; due to its enhanced sonar suite and the tactical flexibility provided by the AIP system, but in both instances the ASCM is a secondary weapon because of the small load out of missiles in the torpedo room, and the low salvo-size driven by torpedo tube limitations. If the Chinese continue to follow Russian tactical concepts, two of the six torpedo tubes will be loaded with YU-6 torpedoes for self-defense against an unexpected appearance by a submarine or surface ship. And while a salvo of four YJ-18 ASCMs is nothing to sneeze at, it is probably insufficient to overwhelm a modern warship’s hard and soft kill air defenses. The Mach 3 speed of the YJ-18’s sprint vehicle is impressive, and will seriously reduce a ship’s reaction time, but numbers are still needed to saturate todays modern air defense systems.

Conclusions
In sum, I believe Holst has drawn incorrect conclusions on the Type 039A/B Yuan submarine design basis because of inaccurate technical data and inadequate analysis. The Type 039A/B Yuan is a large submarine, particularly for a non-nuclear boat, and is comparable in size to Russia’s Kilo and Japan’s Soryu-classes. The sonar suite of the Yuan is tailored more for deep water where it can use the low frequency flank array to make long-range detections against noisy ships. The lack of a vertical launch system means the Yuan, and Song-class, are limited by the number of torpedo tubes that can be allocated to ASCMs; making it very hard to saturate a ship’s air defenses with only four, or at most five, missile salvos. And given the current short-ranged YJ-82 ASCM, a Type 039A/B Yuan-class submarine is better off attempting to close inside 15 kilometers and engaging the target with YU-6 torpedoes. But even after the introduction of the YJ-18, the restrictive factors of the torpedo room’s capacity and the small number of torpedo tubes remains. The PLAN appears to appreciate this constraint, as the discussion of future nuclear submarine designs having as many as 16 vertical launch tubes suggests.

The design aspects of the Type 039A/B Yuan-class submarine point toward deep-water operating areas in the near seas, to include the approaches to Taiwan, where their improved sonar and AIP capabilities will aid the submarine in detecting, tracking, and engaging targets of interest. And while a Type 039A/B Yuan could soon be loaded with a more effective, long-range ASCM, the submarine’s design limitations will continue to rely heavily on the torpedo.
@ arsalan @wanglaokan any learned input will be appreciated
Thx
 
Agosta90b has 4 Scorpene sub has 6 21 inch torpedo tubes u212 has 6 the only Israeli dolphins has 10 tubes with 6 21 inches and rest larger size tubes

If total capacity is 16 ascm or torpedos combination then salvo of 4/5 is max at one time I guess naval officers can explain the logic I guess increaring tubes will also means less carrying capability when not loaded unless size is increased

Type39 in present form has 6 21 inch tubes
 
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yup, that is what i though. Have read that article already, it gave nice profile/signature of some nuclear submarines.

It will be very interesting to know more about modern conventional subs like U214, Soryu, Scorpean etc. That will give a better idea.

90dB however is very low noise. (considering it is for a SUBMARINE)

Now although this might sound loud but for a comparison, a normal conversation is 80Db
 
"Very quiet" Submarine
https://fas.org/spp/eprint/snf03221.htm
Kilo equivalent

ESTABLISHING A BASELINE:

SL component of the spectrum [relative to 1 Pa at 1 m] 5-200 Hz &
Spectral strength of SL in a frequency band (1Hz) [relative to 1 Pa at 1m] 1kHz
"Noisy" Submarine: 140 & 120
"Quiet" Submarine: 120 & 100
"Very quiet" Submarine: 100 & 80
https://www.armscontrol.ru/subs/snf/snf03221.htm#table1

941 (Typhoon SSBN) 125 & 105
667 (Delta IV SSBN) 120 & 100
971 (Akula SSN) 110 & 90
https://www.armscontrol.ru/subs/snf/snf03221.htm#table2

"SL for the 941 (Typhoon) and the 667 BDRM (Delta IV) missile submarines are 8-13 dB higher than the diesel-electric 877 (Kilo) submarine which was developed at the same time.
...
In the West it is believed that these [971 Akula] submarines significantly surpass the covertness not only of previous generation Russian SSNs, but also modern American SSNs."
https://www.armscontrol.ru/subs/snf/snf03221.htm

Therefor: 877 (Kilo) 112 93 = only marginally more noisy than 971 (Akula)

Value of 112 is validated by point 6 in Figure A1.2.
Note this is close to value for German Type 209 (dashed lines numbered 4).
ssr3e.gif

https://www.armscontrol.ru/subs/snf/snf03221.htm

Depending on the specific requirements ordered by different customers, the size of the submarines increased from the original 1000t displacement and in some cases by as much as 50%. The additional size and space were needed to accommodate increases in range, crew living quarters, more electronic equipment and in some instances increased diving depth. The net result has been the emergence of the "Type 209 family" comprising very varied submarines as family members.
One of the constant aims in the continued development of the submarine was the reduction of self-noise. Thanks to the large number of orders that followed each other in an almost annual sequence, every contract profited from the most recent results of research and technology, improvements tested during sea trials which could then be incorporated into the next project. This achieved surprisingly low radiated noise levels to be achieved both during snorkelling and in submerged cruising.
http://www.globalsecurity.org/military/world/europe/type-209.htm

There are currently three air independent propulsion systems being actively integrated into submarines--the Stirling engine, built in Sweden, a fuel cell system built in Germany and a closed-cycle diesel system developed in both Germany and Italy.
The Sterling engine is 15 to 25 decibels quieter than a standard diesel-electric and its generators are in parallel with the batteries to simplify power control. The manufacturer, Kockrums, states that submerged endurance has increased to two weeks, 24 and is offering the engine on the open market as a retrofit into existing submarines or to be integrated into new models.
http://www.dtic.mil/dtic/tr/fulltext/u2/a281144.pdf
NB: Swedish sourced, Japanese and Chinese AIP subs use Sterling engines.
NB: Closed cycle diesel systems would likely be equal or better than standard diesel-electric systems and fuel cell systems would probably be even more quite than Sterling engines.

CHINESE SUBMARINES:

The Chinese Type 033 incorporated some improvements over the original Romeo, including noise reduction of 20 dB. ES5B: This is the last type of Chinese Romeo class submarine; with noise reduction of 20 dB to 140 dB in comparison to the 160 dB of the original Soviet Project 633 submarines acquired by China.
https://www.revolvy.com/topic/Romeo-class submarine&item_type=topic

Type 033: High noise level, little in ASW capability. The Romeo class was designed to conduct anti-surface ship operations using torpedoes and to execute mine-laying assignments off hostile ports. It has virtually no anti-submarine capability, due to high noise levels and inadequate sensor fit. The snort system reportedly exhibits very high noise levels, due to the lack of effective sound insulation on the diesels.
https://www.forecastinternational.com/archive/disp_old_pdf.cfm?ARC_ID=1791

Type 35 is essentially a single screw version of Type 033. Type 035G = ES5E:
"further improvements, especially in terms of noise reduction, weapons, sensors and crew living standards."
https://en.wikipedia.org/wiki/Type_035_submarine

Type 039
"Problems with noise levels and underwater performance led to revisions in the design and only a single boat was ever built to the original specification.
...
Improvements led to the specification for the Type 039G, which became the bulk of production
...
The most obvious visual difference between the two types is the conning tower. The Type 039's conning tower is stepped, rising aft. In an effort to shrink the submarine's acoustic signature, the Type 039G's conning tower was given a more conventional shape without any step."
https://en.wikipedia.org/wiki/Type_039_submarine

The Type 039A inherits the tail design of the Type 039 (NATO codename: Song class) with four diving planes and a single large shaft. A pair of foreplanes are positioned in the middle of the sail. The submarine is equipped with indigenously developed cabin-raft (shock absorbers) system that helped to reduce noise level by over 35 dB. Additionally, the submarine is covered with rubber anti-sonar protection tiles to reduce the risk of detection. A new improved "C" variant was also launched.
The Yuan class SSK is integrated with advanced noise reduction techniques including anechoic tiles, passive/active noise reduction, asymmetrical seven-blade skewed propeller, the 039A is expected to be as quiet as other modern diesel-electric submarines, which are very difficult to track.
http://www.wikiwand.com/en/Type_039A_submarine#/Hull
Question is, reduced noise level relative to what?

033/ES5B= 140dB
035/ES5E= improvements in noise reduction relative to 033
039 = noise problems, leading to redevelopment into 039G > assume 039 similar dB as 035
039A has 35 db less than (most likely) the preceeding sub = 039G
IF 039A is 90 dB THEN preceeding sub (039G) is 125 dB.

Implication Chinese submarines' noise levels:
  • Type 033 ES5B (PRC): 140 dB
  • Type 035 (PRC): ? (est. 130 dB)
  • Type 039 (PRC): ? (est 130 dB)
  • Type 039G (PRC: 125 dB
  • Type 039A: 90 dB
As compared to:
  • Project 633 Romeo (CCCP): 160 dB
  • Project 877 Kilo (CCCP): 93 dB ( ~ newest Type 209. with 209PN=214)
 
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Chinese diesel-electric and nuclear submarine force structure improvements over the past two
decades are striking. Figure 13 conveys a comparative Office of Naval Intelligence estimate
from 2009—and both Russian and Chinese designs have progressed since then. While China has
evidently not yet achieved acoustic parity on the nuclear front, the Shang and Jin vessels
represent a significant improvement over previous nuclear submarines. Jerry Hendrix estimates
that the improved Shang (not reflected in figure 1) is roughly analogous to the improved Los
Angeles or Akula II SSNs with respect to acoustic performance.94 It is possible that the more
recent Jin vessels have also benefited from derivative or related acoustic performance
improvements. Should China proceed as anticipated with development of a next-generation
type-095 SSN and/or type-096 SSGN, it will probably continue down the acoustic learning curve.
On the diesel-electric front the more recent Kilo and Yuan vessels appear generally comparable
to the Russian Lada
(St. Petersburg)-class SSK, while the older Romeo, Kilo, and Ming SSKs exit
the active inventory. Acoustically, at 105-110 decibels the modern 636 Kilo has reportedly
achieved general equivalence with that of the improved Los Angeles SSNs. (By comparison, the
Virginia operates at about 95 decibels and ocean background at 90.95) Said differently, the
improved Shangs and Kilos in the Chinese inventory have achieved acoustic parity with mid-
1980s American SSN technology, while Russia’s new Yasen has an acoustic signature closer to
the current-generation American SSN fleet
upload_2017-6-18_1-39-20.png

98: Office of Naval Intelligence (2009) graphic, excerpted from O’Rourke, China Naval Modernization, pp. 14-15.
Acoustic propagation discussed at https://manglermuldoon.blogspot.com/2015/02/sea-denial-analysis-of-csbasproposal.
html

https://cgsr.llnl.gov/content/assets/docs/Ellis_Game_On.pdf
 

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