Just for fun, let me up the ante; the models of Ka, Kp, and Ko (at least the ones we learn in intro soils) assume the entire backfill suddenly appears (or shall we say the wall suddenly appears against the backfill) and the backfill is then "allowed" to rotate (or not, in the case of Ko).
This doesn't happen in construction; as backfill is placed from the bottom, the wall deflects and Ka results. As more backfill is placed, it is compacted against the deflected wall, which then must deflect some more, but as the wall is required to deflect more, the reinforcement is more thoroughly mobilized and begins to resist movement more, so the pressure is somewhat greater than Ka, but still less than Ko. As the backfill is installed, the pressure grows closer and closer to the Ko value, but likely never quite reaching it. This would make the actual pressure envelope nonlinear.
When the wall movement is restrained by tiebacks or by sttel strips as in the case of RECO walls, the K value can actually be greater than Ko.
D. Bruce Nothdurft, MSCE, PE, PG, M.ASCE, etc, etc,...
Principal Engineer/Geologist
Atlantic Geoscience & Engineering
Charlotte, NC