Dunno, the question is how well can Wolverine take a chi based attack... We haven't seen it too often, he's shrugged off Silver Samurai's energy sword stab, he's beaten down junzo who was like an uber iron fist and even had control over the elemeents of the earth. There's a few other instances I'm sure but I don't remember off the top of my head.
With energy based attacks we've also seen som impressive stuff, he's jumped into Cyclop's blast to rid himself of restraints and then punched out scott, he's walked through cyclop's blast, he's been blasted sky high and accross a jungle by cyclops and just got up, he ran his way through hellfire being shot at him by a mesopotamian demon god.
And then there's the question of Ryu's destructive capabilities, he's got the power to level mountain tops but Wolverine takes that kind of punishment fron Hulk and worse and gets up from it.
What it comes down to is two things, can Wolverine take and/or avoid Ryu's attacks, and I think he can.
And can he land one well placed shot on Ryu to end the fight? I think he can.
Wolverine's damage soak, and his one shot kill weapons make him slightly more suited to fight ryu than Spiderman. But I don't know who takes the majority, I'm kinda reserving my judgment at the moment..
There are versions of Ryu who blasts down skyscrapers without effort, that Ryu would beat both these guys easily.