AN L1011 PERFORMS 2 GARS DUE TO TAILWINDS BEING EVIDENT ON SHORT FINALS; LNDG SE AND S PRIOR TO DFW CHANGING LNDG DIRECTIONS TO THE N.

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FLEW LAS-DFW WITHOUT EVENT UNTIL APCH TO RWY 13R DFW. WINDSHEAR RPTED BY PREVIOUS LNDG ACFT. WE NEVER RECEIVED WINDSHEAR WARNING INDICATION IN COCKPIT. AT 200 FT AGL; APCH END WINDS WERE 320 DEGS AT 23 KTS. ELECTED TO GO AROUND. SECOND APCH; THIS TIME TO RWY 18R; SAME RESULTS; 20 KT TAILWIND AT 500 FT. ELECTED TO GO AROUND AGAIN. EXPRESSED CONCERN TO DFW APCH CTL ABOUT LACK OF WIND INFO GIVEN US BY APCH AND TWR UNTIL SHORT FINAL AT LOW ALTS. ATC CHANGED RWYS. VECTORED FOR AND LANDED ON RWY 36L WITHOUT FURTHER EVENT. ALTHOUGH NUMEROUS WINDSHEAR RPTS GIVEN; WE ELECTED GARS IN ABSENCE OF WINDSHEAR WARNING ONLY BECAUSE OF STRONG TAILWINDS BELOW 1000 FT AGL ON APCH. I AM NOT CONCERNED ABOUT ENSUING VIOLATIONS AS A JUMP SEATING FAA OFFICIAL EXPRESSED NO CONCERN FOR OUR PERFORMANCE. BUT I'M SUBMITTING THIS RPT AS A CONSERVATIVE MEASURE SINCE THE FAA WAS PRESENT. SUPPLEMENTAL INFO FROM ACN 439305: WHILE BEING VECTORED TO FINAL; APCH CTL ADVISED US THAT THE WINDS WERE FAVORABLE FOR RWY 13R AND THEY WOULD VECTOR US FOR THAT RWY. AS WE TURNED BASE TO FINAL; PERFORMANCE DETERIORATED. TWR RPTED MIDFIELD WINDS WERE STILL FAVORABLE FOR LNDG RWY 13R. ON SHORT FINAL; TWR RPTED A TAILWIND OF 18 KTS. WE WERE VECTORED AROUND FOR AN APCH TO RWY 18R. UPON TURNING FINAL; WE MONITORED OUR INS/GPS FOR WIND READOUTS. EVEN THOUGH TWR RPTED WINDS OUT OF THE S; THE INS/GPS BOTH INDICATED WINDS OUT OF THE NW AT 22 KTS. WE INITIATED ANOTHER MISSED APCH. UPON CONTACTING APCH/DEP CTLR; WE NOTIFIED THEM OF THE DISPARITY BTWN RPTED SURFACE WINDS AND ACTUAL WIND AS INDICATED BY INS/GPS ON FINAL APCH. APCHS TO THE S RWYS WERE TERMINATED; AND THE ARPT WAS TURNED AROUND TO ACCEPT APCHS FROM THE S.