Light aircraft pilot reported landing and while slowing down for a turnoff at Bravo 1 taxiway at SMO; both main tires ended up going flat. The pilot requested assistance from Maintenance and the aircraft was towed off the runway; but only after a long delay related to pavement condition.

Narrative

I landed on Runway 21 at SMO. ATIS was reporting the winds as calm. After an uneventful touchdown; I applied the brakes to slow to exit at Bravo 1. When I slowed down to make the turnoff at Bravo 1; I heard a thump; thump; thump.I immediately stopped the plane and called the Tower and told them that I may have blown a tire and I needed to get out of the plane and do an inspection. They asked if everything was OK and I said I would let them know. I got out of the plane and looked under the wings and both main tires were flat. I notified Tower and I believe they closed down the runway although I did see a helicopter land a short time later. I then called an on-field Maintenance shop. Maintenance and their mechanics jacked up both wings and placed dollies under the main wheels and towed the plane off the runway.The total time from my landing to the plane leaving the active runway was approximately 55 minutes. While moving the aircraft; Maintenance noticed a one-inch crack in the asphalt along the entire width of the taxiway exit at Bravo 1 where you immediately leave the runway. Maintenance had to secure sheets of aluminum to put over the cracks in order for the dollies' wheels that were under each main tire to not fall into the cracks. If the cracks hadn't been present; Maintenance said they would have gotten the aircraft off the runway in 30 minutes instead of 55 minutes.There was no damage to the aircraft whatsoever except for the two main tires. The main tires and inner tubes were replaced within two hours total time.I then called the Tower. One of the Controllers in the SMO Tower answered the phone. He was aware of my plane stopping on the runway. He did not see my landing but noticed my tires smoking on the rollout. He mentioned that this occurrence had been beneficial to all in the Tower because they were training new controllers.I asked if I needed to fill any paperwork out and he said no. He did mention to me that the wind may have been a factor. He said that although on the ground it was calm; he had reports that above the surface the winds were at 130 degrees and around 5 kt. but they did not think it was enough of an event to put on the ATIS. I did not notice a tailwind while in the right-downwind pattern or on final for Runway 21; but this might have been a factor in my rollout after landing. The Controller also mentioned later that the Tower had told another aircraft; ready for takeoff shortly before I landed; that the wind was now showing 130 degrees at 5 kt. The other aircraft cancelled their takeoff due to the tailwind and waited for the wind to go calm again a few minutes later.This type aircraft have a tendency to float if not flown by the numbers. My incurring a tailwind on final could be a factor in my landing speed and my brakes locking up during the slowdown and planned exit via Taxiway Bravo 1.