铀增殖处理

铀增殖处理

编辑

生产配方
60 + 40 + 5 → 41 + 2
原料总计
60 + 40 + 5
原型类型	recipe
内部名称	kovarex-enrichment-process
前置科技
可由以下设施生产

铀增殖处理是在离心机中对铀同位素再处理的一种方法。尽管这个过程需要大量的（非常稀有的）铀-235才能开始，但不能阻止其成为充分利用铀矿的一个好方法。

目的

铀浓缩处理消耗10个铀矿并有0.7%的几率产生1个铀-235，或者有99.3%的几率产生1个铀-238，从而可以预估（不能保证）每143次提炼可以产生1单位的铀-235（或者说铀-235与铀-238产量之比大约是1:142），这也是游戏里目前唯一的基于概率生产的配方。

Uranium-235 is necessary to create Uranium fuel cells and Atomic bombs, in considerable quantities for the latter, but the probability distribution of uranium processing leads to it being produced slowly and creating large stockpiles of U-238 as a byproduct. The Kovarex process thus provides the player with a considerably faster (and deterministic) method of producing U-235, as well as a use for the surplus U-238.

It should be noted that U-238 is not useless; it is necessary (and sufficient) to manufacture Uranium rounds magazines, Uranium cannon shells, and Explosive uranium cannon shells, and is required as a secondary ingredient in Uranium fuel cells. Therefore, it is not advisable to use the Kovarex process to convert all stockpiled U-238 into U-235. (Although, in case of shortage, Used up uranium fuel cells can be reprocessed into a modest amount of U-238.)

Requirements for initiation (Uranium processing)

Unlike all other crafting processes in the game, Uranium processing creates U-235 and U-238 based on probability, rather than in guaranteed deterministic amounts. Additionally, the Kovarex process requires a bulk stockpile of 40 units of the rare Uranium-235 isotope to initiate in a single centrifuge. Therefore, planning uranium mining and processing for the Kovarex process takes certain considerations not encountered elsewhere in the game.

Expected value

As U-235 is created in centrifuges running Uranium processing with p = 0.007, the expected number of processing cycles to gain a single unit is E(1,p) = 1 ÷ p = ~143. The expected number of cycles to gain 40 units is then E(40,p) = 40 × E(1,p) = ~5,714 cycles. Note that running this many cycles requires mining 57,140 Uranium ore, a non-trivial task.

However, given the nature of probability, it is impossible to guarantee that 40 units will be reached in this number of cycles; as a matter of fact, some mathematics yields that the probability that 5,714 cycles will produce at least 40 units of U-235 is only about 52%.

Confidence levels

Probability of reaching 40 U-235 from Uranium processing by number of cycles (click to enlarge)

Some further mathematics enables one to calculate the number of Uranium processing cycles one must run to obtain at least 40 units of U-235 (given p = 0.007) with a given level of confidence (probability of achieving the set goal).

As discussed in the previous section, the level of confidence corresponding to 5,714 cycles (for which the expected value of U-235 gained is 40) happens to be about 52% (or, in other words, with this number of cycles, one can expect to fail to reach 40 U-235 a bit less than once out of every 2 tries).

Some further example confidence levels that may be of interest to players are given in the table below. Consult the chart to the right for custom values.

Confidence level	Failures	Cycles required
10%	9 out of 10	4,595
50%	1 out of 2	5,667
90%	1 out of 10	6,894
95%	1 out of 20	7,272
99%	1 out of 100	8,015

Trivia

• The Kovarex enrichment process is named after Michal Kovařík, lead designer of Factorio and co-owner of Wube, whose online nick is kovarex (which he usually spells lowercase). [1]
• In the real world, Uranium-235 is the only fissile isotope of uranium and makes up approximately 0.72% of naturally-occurring uranium, with the other 99.28% being Uranium-238. The in-game representation is thus highly accurate in this regard. Uranium is commonly enriched in centrifuges to increase the percentage of 235U for use in fission reactions.
• Uranium munitions are made from depleted uranium, a byproduct of uranium enrichment, which is mostly 238U whose natural admixture of the 235U isotope has been lowered even further through the enrichment process. Depleted uranium is minimally radioactive and the reason for its use in munitions is its very high density and other mechanical properties, not radioactivity / toxicity.

请参见

• 铀-235
• 铀浓缩处理