A B737-400 EXPERIENCED COMPRESSOR STALLS DURING ARR AT 12000 FT FOLLOWING SEVERAL SMALL THUMPS AT CRUISE. ENG SHUTDOWN; EMER DECLARED FOLLOWED BY NORMAL APCH AND LNDG.

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LEVEL AT FL310; THIS FLT WAS NORMAL UNTIL WE FELT WHAT I WILL DESCRIBE AS A BUMP; FOLLOWED BY A VIBRATION; ANOTHER BUMP; AND THEN EVERYTHING WAS NORMAL AGAIN. THERE WERE NO UNUSUAL ENG INDICATIONS OR WARNING LIGHTS. I DISCONNECTED THE AUTOPLT AND THROTTLES; AND FOUND NO ABNORMAL CTL INPUTS. I MOVED THE THROTTLES AND NOTED NORMAL ENG RESPONSE AND GAUGE READINGS. MY FO AND I BELIEVED THE VIBRATION WAS AIRFRAME IN NATURE; IE; SMALL DOOR OPEN; SPOILER FLOAT; ETC. I HAD THE FLT ATTENDANTS SCAN THE OUTSIDE FOR PANELS; SPOILERS; FLAPS; ETC. THEY SAW NOTHING UNUSUAL. WE TALKED TO MAINT CTL; DISCUSSED ALL POSSIBILITIES; AND DECIDED MAYBE THE APU DOOR WAS OPEN -- NOTHING THAT SHOULD AFFECT THE FLT FROM SAFELY CONTINUING. ALL FLT CHARACTERISTICS AND ENG INDICATIONS REMAINED NORMAL UNTIL DURING THE ARR AT 12000 FT; THE #2 ENG BEGAN TO COMPRESSOR STALL -- WITH LARGE ENG GAUGE FLUCTUATIONS AND NOISE. WE FOLLOWED ALL CHKLISTS FOR SEVERE DAMAGE; ENG SHUTDOWN; AND SINGLE ENG LNDG. WE DECLARED AN EMER; BRIEFED THE FLT ATTENDANTS AND PAX; AND LANDED WITHOUT FURTHER INCIDENT. BY THE TIME ALL CHKLISTS AND BRIEFINGS WERE COMPLETED; WE WERE ON FINAL.