Flight Crew Air Transport Pilot (ATP); Flight Crew Multiengine; Flight Crew Instrument
Flight Crew Last 90 Days 117; Flight Crew Total 6500; Flight Crew Type 1915
Aircraft Equipment Problem Less Severe
Flight Crew Landed in Emergency Condition
Aircraft
Prior to descending from FL350 the vibration indicator on the right engine was fluctuating from 2.0 - 5.0 on the LPT. All other engine indicators were normal.  We were given a descent from FL350 and upon the power coming back to idle there was a loud bang and aircraft shudder.  I saw the VIB on the Right Eng was at 5.0 but all other instruments were indicating normal.  On a subsequent descent from FL220 we observed a second bang from the engine and began to suspect a compressor stall.  I was the PF; the Captain; the PM; began running the compressor stall checklist from the QRH and followed all of the procedures.  We elected to conduct a 20 flap landing; leaving the right engine at idle IAW QRH procedures.  Once the appropriate checklists were run aircraft control was transferred to the Captain  for an uneventful landing.  After waiting three minutes after landing; and observing the LPT VIB still at 5.0;  we shutdown the right engine and continued to taxi to park.
On the descent into ZZZZ from 35;000; FO retarded the throttles and we experienced a loud bang that got both of our attention. Leveled off at 22;000 then descended to 16;000. Upon retarding the throttles again; we experienced the same type of loud bang. We determined that it was a compressor stall on the right engine. Followed the QRH procedures and decided to leave the engine at idle until landing. LPT indicator was fluctuating the entire descent into ZZZZ up to 5.0. Due to the nature of the situation; I requested priority handling going into ZZZZ. We left the throttle at idle and landed flaps 20 with no incident. Thoroughly debriefed the several mechanics at ZZZZ and spoke to [Maintenance Operations] and flight control via satcom also. Captain made the landing.
B767 flight crew reported a suspected compressor stall in right engine during descent from cruise.