AN MD90 CREW SHUTS THEIR L ENG DOWN 85 MI FROM SJC WHEN THE CAPT NOTES A LOSS OF OIL PRESSURE FOLLOWING A PROLONGED PERIOD OF OIL QUANTITY LOSS.

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AT FL280 ENRTE FROM SNA TO SJC; I NOTICED THE L ENG OIL DECREASING. MY FO WAS FLYING THE AIRPLANE AND I INSTRUCTED HIM TO CONTINUE. I PROCEEDED WITH THE ENG OIL DECREASING (QUANTITY) PROC CHKLIST. PER THE CHKLIST; WE CONTINUED OP AND MONITORED THE L ENG OP. AT ABOUT 120 NM FROM SJC AT FL280; OIL QUANTITY DECREASED TO ZERO. STILL ALL OTHER ENG INDICATIONS WERE NORMAL. AT THIS TIME; WE TOLD ZOA WE WERE EXPERIENCING ABNORMAL ENG READINGS AND REQUESTED DIRECT TO SJC AND A DSCNT TO FL240 AS A PRECAUTION. DSNDING TO FL240 DIRECT SJC; WE STARTED SEEING LOW OIL PRESSURE READINGS ON THE L ENG. I PROCEEDED WITH THE OIL PRESSURE LOW INDICATION CHKLIST IN THE PROCS AND MESSAGES SECTION OF OUR EMER QRH HANDBOOK. AT ABOUT 80-90 NM FROM SJC; WE PROCEEDED WITH THE INFLT ENG SHUTDOWN CHKLIST; INFORMED ATC OF OUR SIT; REQUESTED PRIORITY HANDLING AND REQUESTED A LOWER ALT. WE WERE GRANTED ALL OF THE ABOVE. I THEN NOTIFIED THE CABIN CREW OF OUR SIT; TOLD THEM TO PREPARE FOR A NORMAL LNDG. I THEN TOLD THE PAX OF OUR SIT AND THAT THERE WAS NO NEED FOR ALARM. PRIOR TO NOTIFYING THE CABIN CREW/PAX; I NOTIFIED OUR COMPANY/FLT CTL OF OUR SIT AND OUR ARR TIME. WE PROCEEDED WITH THE APCH; BEFORE LNDG/AFTER LNDG AND PARKING CHKLIST AT THE APPROPRIATE TIMES. WE HAD CONSIDERED DIVERTING TO ANOTHER ARPT; HOWEVER; LOOKING AT OUR ALT VERSUS DISTANCE TO SJC; WE BASICALLY GLIDED THE ACFT TO SJC WHERE RWY 30L IS A LONG RWY AND THERE ARE VERY GOOD EMER SVCS AVAILABLE. AFTERWARDS AT THE GATE; I SPOKE WITH MAINT. INFORMED THEM WE SHUT DOWN THE ENG (L) PER THE CHKLIST. I WROTE IN THE MAINT LOGBOOK THE ACTUAL DISCREPANCY (LOSS OF OIL QUANTITY L ENG). I THEN SPOKE WITH OUR FLT CTL AND CHIEF PLT. GAVE THEM A COMPLETE RUNDOWN OF THE SIT OVER THE PHONE. THE NEXT DAY I TURNED IN A 3 1/2 PAGE RPT TO THE CHIEF PLT'S OFFICE DETAILING THE ENTIRE EVENT INCLUDING OUR OBSERVATIONS; WHICH CHKLISTS WE USED; THE FACT WE REQUESTED PRIORITY HANDLING (EMER) AND HAD EMER EQUIP STANDING BY IN SJC AT OUR TIME OF ARR.