Is AVTUR the same as JP-1 fuel?
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.

[EDIT]

From here:


  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.