I read on Wikipedia:
JP-1 was an early jet fuel specified in 1944 by the United States government (AN-F-32). ... It was also known as avtur.
Is AVTUR the same as JP-1 fuel, and the term "AVTUR" is just a nickname?
AVTUR stands for AViation TURbine Fuel and is equivalent to JP-1, at least in the UK and in as much as JP-1 no longer exists. I believe that the US military equivalent is JP8 which is Jet-A1 with additional additives, which differs from commercial Jet-A only by a lower freezing point.
Here is the relevant NATO Def Stan (Defense Standard) for Avtur with is the same defstan as for Jet-A1.
This link to an Exxon document gives a great deal of information for various aviation fuel oils.
JP-8 is the military equivalent of Jet A-1 with the addition of corrosion inhibitor and anti-icing additives; it meets the requirements of the U.S. Military Specification MIL-T-83188D. It is the dominant military jet fuel grade for NATO airforces. The UK also have a specification for this grade namely DEF STAN 91-87 AVTUR/FSII (formerly DERD 2453). NATO Code F-34.