Wait...I though that the Former Soviet Union Decline rates were steeper due to economic collapse and not what the underlying geology dictated.  It's hard to tell with those charts but it appears that some of the nastiest declines coincide nicely with the post soviet economic "transition" period.

If economics was the driving factor, then wouldn't it stand to reason these fields would have some additional life in them and that past decline rates would not represent future decline rates.

Economics certainly plays a role in an oil field's productivity.

Check out this chart...
http://photos1.blogger.com/blogger/6004/823/400/ProductionGraph.jpg

This is from posting I made to my blog on a small oil field not far from where I used to live.  Note the depletion curve is interrupted a number of times.

1996 as prices increase a little, production levels off
1998 as prices collapse, so does production
1999-2002 as prices surge, owners invest in steam injection. Production rises above original curve, peaking again in 2003.

Each of those changes in production were instigated by the market and only guided by geology.  Read more of that post here:

http://unplanning.blogspot.com/2005/07/depletion-happens-little-bit-at-time.html

Man I can't see your graph. Forbidden, it says.
Thats odd. I don't entirely understand what happened. Lets try this http://static.flickr.com/36/97844621_6479fffb51.jpg?v=0
Help. Somebody... I suck at HTML

The link is ok. You just need to use a img tag and specify the src, like this:

< img src="http://static.flickr.com/36/97844621_6479fffb51.jpg?v=0" >