MD88 CAPT USED MAX AUTOBRAKES ON A PATCHY WET RWY AS A DEMONSTRATION TO A FO GETTING IOE. THE 2 MAIN GEAR TIRES ON THE L SIDE BLEW OUT.

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DURING MY SECOND IOE MD88 FO; FIRST DAY AND THIRD LEG OF THE ROTATION WAS ACR FLT XYZ FROM ATL TO CHS. AFTER A DELAYED TKOF IN ATL; WE ARRIVED IN CHS JUST AFTER XA15 LCL AND MADE AN APCH TO RWY 15. THE CAPT WAS FLYING AND MADE A VISUAL APCH TO RWY 15 WITH MAX AUTOBRAKES SELECTED FOR IOE DEMONSTRATION PURPOSES. THE RWY WAS PATCHY WET AS RAIN HAD PASSED THROUGH EARLIER. AFTER TOUCHING DOWN ON CTRLINE; ON SPD IN THE LNDG ZONE; THE AUTOBRAKES APPEARED TO ACTIVATE NORMALLY. DURING ROLLOUT; THE CAPT DIRECTED ME TO SELECT MEDIUM AUTOBRAKES; WHICH I DID; BUT THE BRAKING ACTION CONTINUED TO BE VERY HVY AND SOME VIBRATION WAS NOTED. TWR CALLED TO ASK IF WE WERE EXPERIENCING COMPRESSOR STALLS AFTER THEY HEARD LOUD BANGS; WE WERE NOT; BUT HAD NOT YET REALIZED THAT BOTH L TIRES HAD BLOWN. THE CAPT THEN CALLED FOR MINIMUM AUTOBRAKES; BUT AGAIN; NO CHANGE IN DECELERATION. THE CAPT THEN DESELECTED THE AUTOBRAKES WITH THE BRAKE PEDALS AND BROUGHT THE ACFT TO A STOP ON THE CTRLINE OF THE RWY. THE ACFT WAS TILTED TO THE L AND WE REALIZED WE HAD BLOWN THE 2 L MAIN LNDG GEAR TIRES. WE ASKED THE TWR TO ROLL THE EMER VEHICLES. THE PAX AND CREW REMAINED CALM THROUGHOUT THE EVENT; DESPITE THE SMELL OF RUBBER NOTED FOR A FEW MOMENTS. UNABLE TO TAXI; ALL PAX AND CREW DEPLANED THROUGH THE 1L DOOR VIA STAIRS AND WERE TRANSPORTED VIA BUS TO THE TERMINAL. MOST PAX WERE COMPLIMENTARY OF HOW WE HANDLED A POTENTIALLY SERIOUS SIT. OTHER THAN THE TIRES; I DID NOT SEE MUCH; IF ANY; ADDITIONAL DAMAGE TO THE ACFT. NO INJURIES WERE RPTED TO MY KNOWLEDGE.