This frost heave is one I call E10. I added some fill before getting my camera. Notice the rim of the subsidence. It was ~ 4' feet deep.
Frost Heave Subsidence
The characteristic conical-fissure is faintly visible around its rim.
An ice-ax can be a helpful diagnostic tool.
I just kept dumping in rocks and clean fill.
Compacting the soil is appropriate if possible. I drove my truck all over this.
Before
After
How I got introduced to the frost-heave problem
The nature of frost heaves
e-mail me
Case E14 #1.
Below are scenes from my first encounter (which really spooked me).
This soil, light and fluffy in appearance, receeded a full foot from beneath the foundation.
View beneath our "sinking" arctic entryway.
Teltale "hourglass" or ant-hill like indentations suggested a fissure was probably also undermining the street out front. The city used a Dynapac brand soil compactor when they upgraded all our local streets and storm drains. Those vibrations could be felt blocks away and probably exaccerbated this situation.
After these photos were taken, my landlord sent Rob Linderman to jack up the house and pour a new slab to support our original foundation. Thank you Rob! I'd recommend him highly whenever major reconstruction becomes necessary.
I envision a dry sand injecton tool for filling these conical fissures. . .with compressed air propelling sand from a hopper through an injector lance. . . for filling the underground air pockets with sand.
A tree just outside the adjacent foundation was just about dead. Here we see its roots.
My house has cinder-block walls.
Blocks of cement were placed below the jack. At first they kept vanishing into the the soft dirt below==forced by the jack. Finally things firmed up. The house came up to level. Trenches, rebar, and forms preceeded the cement truck. 
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