Looks like one of the previous owners misinterpreted the word "fossil fuel". That's a lot of sludge.Well, this is disappointing to have to deal with. I'm guessing this is best managed by dropping the tank and cleaning. Theres a good half inch of sediment in the pump box.
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I'm struggling to think of a way to deal with this without dropping the tank, but I think @alia176 is right. The reality is that you need to get it clean enough to find out whether the source is your tank corroding into dust.