These Spike Walls are a special form of the Spike Trap.
There's no way to get past them but run away or find shelter quickly. They usually come after you pull a lever or enter a room.
By using the Cheat for all ammo & medipacks, you can feed a lot of them to Lara, while the wall goes through her. If you've done it correctly, she should still be alive and ready for the next task.