You really should check this site. This is the section on wet or dry surface, in affecting V2.
"Airfield surface and surrounds. A short dry grass or rough gravel surface might add 10% to the ground roll compared to that for a smooth sealed surface. Wet or long grass might add 50% to the ground roll and a soft or waterlogged surface might double the ground roll. Surface water and/or wet grass can lead to aquaplaning and loss of directional control, the effect of frost is similar."
http://www.auf.asn.au/groundschool/umodule11.html
In reading this again to find your answer, and the above quote is the only reference, I realized, V2 is the speed required to break ground effect. An underpowered, overloaded, aircraft could get off the ground but not be able to break ground effect.
That's why on a hot, humid day, on a short runway with obstacles ahead, you break ground, drop the nose, build airspeed till said obstacles are becoming a significant of your windscreen, then cuddle the yoke, and climb for old glory until you only have friendly forward vision.
That's a 'get out'a Dodge' takeoff. Not recommended for general aviation.
OOPS: I looked again, using find 'wet' and found this,
Obviously a take-off into wind is highly desirable, unless runway slope and rising terrain dictate otherwise, and the ground roll should be started as close to the boundary fence as reasonably possible. The procedure described above is for a hard, dry surface or for short, dry grass. If the surface is soft or the grass is long and wet then the rolling friction may exceed the induced drag at medium aoa or the slippery surface may make directional control difficult. In such cases it may be better to get the wheels off early and fly in ground effect until Vx is attained, as in the soft field technique. If there are any doubts about the take-off conditions then stay on the ground. I suggest you read the article 'Tree's a crowd' in the Flight Safety Australia September – October 2002 issue.
So that substantiates my 'get out'a Dodge' proposal
John B I'm trying to say two things.
Terminology has changed in the last thirty years I've been out of the cockpit and....
I don't know how you pro's can get it so screwed up.
V1, which we called Vr, velocity refusal, is the point and speed at which if something goes wrong you are committed to take off. i.e. Below V1, the takeoff is aborted; above V1 the pilot continues the takeoff and returns for landing. I have confirmed that in FAA regs and several other references in order to understand today's terminology, Geeesh!!!!
And I have also included source for his reference.