1. It sounds like it is the lead coming into the house underground. In the wet weather the electric cable will fail and go to ground. This problem will come and go until everything is dried out. The wet ground is not the problem just exposing the failed cable.
2. The second thing is that you have a primary breaker that is bad and needs to be replaced.
If I had to make a guess it is the first on the list and is Edisons responsiblity.
My power comes from a pole to the roof. Above ground. I too think the problem is in their line though. Can what you've described happen on above ground hookups?
Riverdad55, I'm gonna check all my outlets asap as I have in the past found a loose connection. I believe the outlets have a ground but I'll have to check.
Thanks again everybody!!