# integral value of the source term

## English translation: total (see discussion)

 21:51 Oct 25, 2016
English language (monolingual) [PRO]
Science - Mathematics & Statistics
 English term or phrase: integral value of the source term Some analyses of ocean contamination provide not only the integral value of the source term but its kinetics as well. Another sentence (integral estimation): The uncertainty in the direct release source term is generally smaller and most analyses show results in the range from 1 PBq to 5.5 PBq of 137Cs (Table 1.4–8), except for the most conservative integral estimation given by IRSN More info: Source term: A source term is a specific type of release characteristic of a reactor family representative of a type of accident, i.e. in general, a mode of containment failure following complete core meltdown.
 Masoud KakoliPhilippines Local time: 09:52
 Selected answer:total (see discussion) Explanation:The section is talking about Caesium-137 release from the site - both direct release and subsequent atmospheric and ocean contamination. The term just means the total release (which is indeed the time integral but that's just an overly complex way of putting it).
Selected response from:

DLyons
Ireland
Local time: 02:52
 4 KudoZ points were awarded for this answer

SUMMARY OF ALL EXPLANATIONS PROVIDED
4 +2total (see discussion)
 DLyons
3 +2integration value of the radioactive contamination
 Port City
Summary of reference entries provided
Definition of source term
 Helena Chavarria
Why I should avoid mentioning a mathematical integration:
 Didier Fourcot

Discussion entries: 4

5 hrs   confidence: peer agreement (net): +2
integration value of the radioactive contamination

Explanation:
This isn't my field at all, but "integral value" is "value of integral" as used in calculus.
TEPCO used the term "integrated value".
http://www.nsra.or.jp/isoe/english/fukushima/contamination02...

 Port CityNew ZealandNative speaker of: Japanese

agree
 11 hrs
-> Thank you!

neutral  Didier Fourcot: The reference is correct, however it is about doses, it integrates mSv/h dose rates and get mSv along time, here we are talking of activity
 13 hrs
-> Thank you for your input.

agree
 13 hrs
-> Thank you!

8 hrs   confidence: peer agreement (net): +2
integral value
total (see discussion)

Explanation:
The section is talking about Caesium-137 release from the site - both direct release and subsequent atmospheric and ocean contamination. The term just means the total release (which is indeed the time integral but that's just an overly complex way of putting it).

 DLyonsIrelandLocal time: 02:52Specializes in fieldNative speaker of: EnglishPRO pts in category: 24

agree
 1 hr
-> Thanks Terry.

neutral  Daryo: it does sound like "just an overly complex way of putting it" but if they feel the need to put it that way I would leave it that way
 9 hrs
-> Thanks Daryo. You have a point.

agree
 22 hrs
-> Thanks Yasutomo.

 46 mins peer agreement (net): -1
Reference: Definition of source term

Reference information:
https://www.iaea.org/ns/tutorials/regcontrol/appendix/app933...

 Helena ChavarriaSpainNative speaker of: English

Peer comments on this reference comment (and responses from the reference poster)
disagree  acetran: Since it is the same definition the asker provided with his question. Thanks for pointing out.
 18 hrs
-> I think it's probably the same definition the asker provided with his question / I THINK it's the same one but I'm not sure. I only wanted to help someone. I'm sorry you don't find the reference helpful and thanks for making that clear :)

 15 hrs peer agreement (net): +1
Reference: Why I should avoid mentioning a mathematical integration:

Reference information:
Let's come back to basics and units of measure: a Becquerel is a complicated name for the reciprocal of a second:
https://en.wikipedia.org/wiki/Becquerel
https://orise.orau.gov/reacts/guide/measure.htm
one Bq is one disintegration per second
so the "integral value" if we integrate the number of Becquerels of a source over time is the total number of disintegrations, ie a dimensionless plain number; we should also specify the timeframe of integration, because the source will likely disintegrate before and after our measurement.

However as the period is 30 years, we may consider for the usual timeframes that the activity of the source is constant, ie a (x Bq source) today still disintegrates x Bq tomorrow or one year from now.
So there is no point in mathematically integrating these Becquerels over time, they will repeat tomorrow and the day after, they just measure a quantity of radioactive material.

So if we see today 1 million Bq flowing through a waterway, then 2 millions tomorrow, we may say that 3 millions have passed, this is the concept of kinetics: amount of radioactivity measured at each time period.

The total "integral" number is the total amount of radioactivity that has been released; it is actually an accumulation over time, but I should avoid the mathematical concept of integration because the radioactivity does not disappear.
Let's compare with a water flow: the integral of a flow measured in liters per second is the total volume that has flown, in liters.
BUT the total radioactivity that has been flowing if the radioactivity is 1000 Bq/l remains x times 1000 Bq/l, not 1000 disintegrations per liter.

The confusing thing is that although Bq is s-1, it is NOT a division by time, like m/s, l/s, this is also the reason whay it is different from Hz, which is also formally s-1: travelling at 1 m/s leaves you 1 m ahead after 1 second, but nothing happens after 1 second looking at a source of 1 Bq: an other disintegration will happen over and over again (in fact it will slowly decay to half of it after 30 years), so the concept of integration is confusing and should be replaced with a total over time.

 Didier FourcotWorks in fieldNative speaker of: French

Peer comments on this reference comment (and responses from the reference poster)
agree
 3 hrs

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