delagena: This article has a bunch of ways to dewater. However, the problems related to settlement from increased pressure from this are not very common and thus no or few articles. You probably would find testimony in legal cases of dewatering caused problems.
To digress, but to show something of different conditions between saturated soil and damp, not saturated, here is a case showing the difference.
I was called once to see if I could help a house builder. He has been building houses for years in an area with nice sand and gravel soils. Houses had attached garages and basements. He "settled" the fill in the garages by jetting the loose fill with a length of pipe attached to a garden hose. In this case the weight of the saturated sand fill applied about three times side pressure to the wall next to the house basement as compared to damp soil. That concrete wall pushed in and in came a great deal amount of saturated sand. The center beam under the first floor pushed out the far side of the basement and down came the center of the first floor, walls and all. Major destruction, probably a total loss. He said he had been jetting that fill under garage slabs for many years and no problems. My reply was "Bet you never jet again". I was of no help.
Interesting that today I visited a new neighbor seasoned builder building his new house. He remarked that come summer he will jet the fill under his new garage area. His basement wall thickness in 7.5" (damn thin). I told him the above story. We shall see if I had any effect. My problem now is that with this foundation now there about one month and "no problems", but I had photos of that wall "just in case", Yesterday I wiped my camera clean figuring he "got away with filling". Now I'd have no before and after shots.
So in this post's case, taking away water and you take away water effects, but more importantly the soil is no longer submerged with a light effective buoyed-up density. Damp spoil imposes about three times vertical pressure on lower soil than when saturated. Can result in settlement. Note thre is difference between lateral pressures and vertical. so the two different cases don't quite compare here.