How about rise discovery rate? Is it impossible? Why?
There is new exploration technology which can triple oil discoveries for same money and time-frame as compared with conventional technologies www.binaryseismoem.weebly.com.

The Dispersive Discovery model assumes an accelerating search space; I started out with a high-order power-law but a rising exponential works as well. So the fact that new and better technology exists for increasing discovery rate, that is well suited to the model. Yet, even though we have these huge increases in search rate per year, we still keep finding fewer and fewer reservoirs on average per year. I keep saying that it is a very conservative predictor in the fact that it assumes large size discoveries are equally likely at any time and that no relenting on the search acceleration is allowed. If you relaxed these considerations, the outlook would be even more grim.

"Yet, even though we have these huge increases in search rate per year, we still keep finding fewer and fewer reservoirs on average per year."

You are right indeed. Situation, when exploration well spudding is based on sisemic data only exists for a long time. Today, as it was decades before, oil companies drill mostly dry exploration wells. Drilling success rate doesn’t overcome 25% on average. It means that three dry wells go to waste from each four drilled. It means also that discovery occurs too slowly today, but there is a highly productive exploration technology (Seismo-electromagnetic - SEM) for detection of hydrocarbon deposits. It provides a success rate close to 75%. In other words, 3 productive wells for each dry well. Obviously with the technology like this world oil industry could make three times more oil discoveries then using conventional technology, and this technology won't need more investment,time-frame and so on compare to a conventional one. It would significantly mitigate world energy problems.

Seismics---Prospects---Drilling---Discoveries: one in four
Funding --------project time-----------------------------------------
SEM--------Prospects---Drilling---Discoveries: three in four
www.binaryseismoem.weebly.com

You have changed the straw's diameter, not the size of the glass.

Further, to the extent that discovery means 'new,' the wells are still going to be concentrated where the oil is - the problem being, the area of the globe where the oil isn't is pretty well known at this point.

Right, and the point is that we have more and more efficient ways of analyzing the smaller and smaller places left to discover oil. This is an example of rapidly exploring diminishing returns. A double-whammy, so to speak.