Looks strange (as James Perkins said)
how do you call your Log class.
I normally not use such central classes for logging.
I add a 'private static final Logger' to my class and use it direct (e.g. from a SLSB)
What if you add your app without additional configuration, any errors? The root-logger should add your logging to the server.log if you use the correct level (e.g. ERROR/WARN/INFO).
This should work without SLF4J and errors.
What is the package name of HibernateUtil.class? If it's not com.lit.wessal it won't show up in your log file. The only records that will show up in wessal-web are any loggers that have at least a category of com.lit.wessal at a level INFO or higher. I've done something similar before and never had any problems. Maybe if you could paste the entire logging subsystem XML from your standalone.xml I might be able to see something. Also Maybe paste a class with a code sample if that's possible.