AN INSTRUCTOR REPORTS OBSERVING HIS INITIAL SOLO STUDENT GND LOOP A C152 AND STRIKE THE LEFT WING AND PROP.

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NEW STUDENT INITIAL SOLO FLT; SECOND LNDG AND ROLLOUT. STUDENT OVERCORRECTED AFTER LNDG THE ACFT ON RWY 14 AT ZZZ. THE WINDS WERE LIGHT AND AT THE TIME OF TAXI WERE RPTED AS 210 AT 5 KTS. THE SKY WAS CLR AND THE RWY WAS DRY. I HAD JUST FLOWN WITH MY STUDENT AND HAD SIGNED HER OFF TO DO HER INITIAL SOLO AT ZZZ. THE FIRST TKOF AND LNDG WENT WELL AND I HAD HER TAXI BACK TO RWY 14; FOR HER SECOND SOLO TKOF AND LNDG. EVERYTHING WAS FINE UNTIL HER SECOND LNDG AND ROLLOUT. I WAS STANDING AT THE TERMINAL AND NOTED THAT THE R MAIN WHEEL CAME OFF THE GND. SHE CORRECTED AND HAD ALL 3 WHEELS ON THE GND; BUT STARTED TO SWERVE ON THE RWY SURFACE AND HEADED TO THE GRASS IN THE INFIELD 1/2 WAY DOWN RWY 14. MISSING THE RWY LIGHTS THE ACFT SLID IN A WIDE ARC UNTIL THE NOSEWHEEL SANK INTO THE SOFT MUD; CAUSING THE ACFT TO NOSE OVER AND CONTACT THE GND ON ITS L WING AND PROP. THE ACFT AGAIN RETURNED TO ALL 3 WHEELS WITH ITS ENG STOPPED. WHEN I ASKED WHY SHE HAD NOT GONE AROUND SHE SAID THAT SHE COULD NOT. THIS MAY COME FROM THE ARPT BEING CLOSED FOR TOUCH-AND-GOES; AND SHE WAS ALREADY IN HER LNDG ROLLOUT.