I have attached a description of two UOP refinery processes:

CCR Reforming- a moving bed process:

http://www.uop.com/reforming-ccr-platforming/

which is a moving bed process (the catalyst actually circulates in hoppers from the reactor to the regenerator and back and

Parex- a simulated moving bed process:

http://www.uop.com/processing-solutions/petrochemicals/benzene-para-xylene-production/#xylene-recovery

this is a simulated moving bed process with a large number (24) of fixed beds and a rotary valve (or a large number of ordinary valves) that changes the position of the feed to each bed every minute or two to the next position to simulate  a moving bed.  For example The last P-X adsorption bed becomes the first desorption bed, the final desorption bed becomes the first adsorption bed etc there is a good article from Boughton in Chemical Enineering Progress (Vol 66 no 9 Sept 1970) that I can't find a link to.  Here is the patent: 

http://www.google.com/patents/US2985589

Let me know if you need additional information

Here is one more link that explains how simulated moving beds:

http://depts.washington.edu/cpac/Activities/Meetings/Satellite/2009/Monday/Wang2009Rome.pdf