According to the pilot in the experimental, amateur-built, tailwheel-equipped airplane, during the takeoff roll on runway 25, the airplane weathervaned into the 11-knot crosswind from the south. The airplane exited the left side of the runway and struck a precision approach path indicator (PAPI) light, but the pilot continued the takeoff. During the initial climb, the passenger reported smelling fuel, but the airplane remained airborne until the fuel in the right tank was exhausted. The pilot further reported that he was unsure if the landing gear were damaged, and he was unable to contact anyone at the airport to verify the landing gear's condition. He flew to a nearby airport, where the tower controller confirmed that the landing gear appeared undamaged. The pilot landed the airplane without further incident. The airplane sustained substantial damage to the right-wing spar and the elevator. The nearest METAR to the accident airport reported that, about the time of the accident, the wind was from 200° at 10 knots. The pilot reported that there were no preaccident mechanical malfunctions or failures with the airplane that would have precluded normal operation.