I think most of the answers so far are spot on - the more you plug away at it yourself, the larger the body of useful information will become, so slowly but surely people will naturally start to use it.
The other approach you could use is this: Suggest that every time someone asks another team member a question about the project, they should answer the question as normal, but also add the answer to a section of the Wiki. This may take a few minutes extra, but it will mean that the next time someone asks the same question (which they inevitably will), you can save time by pointing them at the Wiki. This, in turn, should help people to start using the Wiki as a first source of information and help overall up-take.
