B767-200
Aircraft Equipment Problem Critical
Flight Crew Landed in Emergency Condition; General Maintenance Action; General Declared Emergency
Aircraft
Starting our descent out of FL400 to FL340 the right oil pressure light flickered on then off; noticed the oil pressure had dropped to 13-14 psi. Immediately the right oil pressure EICAS message came on and we noticed the right oil quantity gauge was near 0. I ask [the First Officer] to get the QRH out and start the appropriate QRH procedure for the engine low oil pressure EICAS message. This led us to the Engine Failure or Shutdown checklist right away. I continued to fly the aircraft while we ran the QRH procedure. Notified ATC and then declared an emergency. We secure the right engine and after conferring with our Dispatcher via ACARS and discussing the weather in [nearby airports] we decided to choose [a nearby airport] as our airport of choice. ATC made arrangements and we landed with emergency equipment standing by. We proceeded as planned for a single-engine ILS with a landing G.W. of 200;000 lbs and S.E. taxied to the Maintenance hangar where we [were] met by Maintenance personnel and many questions. Logbook entry was made.
B767 Captain reported shut down of right engine in flight because of low oil pressure.