Cribbing on soft ground (lawn)

I have a 36,000 lbs capacity Grove RT-60S RT crane. I have to take down some scrap components of huge dust collectors, unknown weight, guessed at 12-15k.

The problem is that two outriggers will have to be on a lawn, which is soft ground. A crane driving through this lawn leaves some ruts.

I have two sets of of wood crane pads, one set is 24x24, and another is about 40x40. Do you think that if I use 40x40 and a 24x24 on top, it will be enough?

Thanks

Cribbing on soft ground (lawn)