Hi Michael,
I'm not sure if those circuits can run from 18 volts, but you can make a connector to short the second (unused) battery clip. You make the connector from a third 9V battery clip. I think this neat little trick was described in an issue of Bass Player magazine.
All you need to do is solder the red and black wires together on the third clip. Then, remove one of the batteries and plug your new shorting clip in its place. You can then run the electronics from one battery.
I hope this helps,
- nate.