Hello again.....
To answer the original post, you will have to determine what your finished grade is going to look like. If it is granular, ACP or concrete, frost will definitly penetrate deeper due to the poor (thermal resistance) R values of those materials.
However, one needs to understand the behavior of frost and how it migrates in order to provide remedial solutions.
Firstly, frost is NEVER driven down. The depth of penetration varies with the types of soils relative to the colder "degree" days. Frost penetrates because the soils "give up" heat. A depth of 7 to 9 feet is not uncommon under a road because the top two or three feet contain soils and structures that have very poor R values, like a metal frying pan versus a ceramic plate or asbestos, and readily lose any heat.
Frost moves like a cold plug. After 20 days of -20, this plug is considerably colder than 20 days of -10, and hence will penetrate deeper. In a cemetary for instance, where the soils are very fluffy and snow covered, the frost due to the high R values (insulation), do not readily give up their heat and frost does not migrate very far.
Lastly, and as anyone with northern utility experience will attest to, in a winter with many cold degree days and little precipitation followed by a warm spring, you will note that it now appears that the warmth is "driving" the frost down. Nope, what is occuring is the converse to the cold plug in that the soils, again due to poor R values, are now giving up the cold to the heat and warming quickly. However, the initial plug under the surface is still incredibly cold and continues to rob latent heat from the surrounding soils. Equilibrium is reached when the plug has warmed to the same temperature of the surrounding soils. That is the maximum depth of the frost.
I have studied frost and recorded several tempurature measurements of several soil types under several winter conditions. It is very interesting and predictable.
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