The search logs will then be analyzed in order to find recurrent search patterns across participants.
Before beginning the experiment, I want to check that I can indeed find patterns in search logs, using several different algorithms. The idea is to check these algorithms on Wikipedia search logs already available. Hence my request.
Perhaps look at the Click Dataset from Indiana University? I'm not super familiar with it, but it seems that it would have some search data fit for your purposes.
http://cnets.indiana.edu/groups/nan/webtraffic/click-dataset/