There is a good reference for how search ranking works in this page. There are also a number of add ons that can improve and provide different functionality for the search within Confluence, listed here. Further to that you may need some custom code to accomplish changes in Confluence search interface, task that the Atlassian Experts can assist with.
I guess I'm still not sure what you mean by "particular sections in some wiki documents". Are you saying that you want the search results to look at different parts of the page with a different weighting scale? I guess another question I have is when you say "wiki documents" are you referring to pages, attachments, spaces?
I will try to explain it to you using an example. I have a wiki page. By page, I mean a document. In that page, there are multiple sections related to opening a bank account. However, I want to make sure that when a user make a search in wiki with keywords such as bank, a particular section is displayed first in the search box. So, I want to increase the probability of a user viewing a particular section in a wiki document. there may be similar content in the same document.
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