I would like to clarify a few misconceptions regarding the freeze protection of infrastructure.
I designed and modified several water and sewer systems in the Yukon (Whitehorse), with various soil types and frost penetration. First of all, there is an excellent design manual called the Cold Climate Utilies Manual, and in it there is a section where heat loss in the pipe (including fluid) is calculated and should the fluid stop flowing, the time to complete freezeup.
Yes, adding heat is an option, but it is expensive and used sparingly. The use of recirculation pumps is more feasible because in reviewing the thermal analysis, flowing fluid does not lose heat as quickly as stagnant fluid, in fact, with an ambient tempurature af about -6 or -7, fluid moving through a pipe with a velicity of 6"/s will not freeeze.
Frost is an interesting phenomenon. Scientifically, it is the result of the soils giving up heat and the depth of frost penetration is proportional to the amount of cold degree days and the resistivity of the soils to heat loss. Freezing (nucleation) actualy occurs at about -3 Celcius. In a flowing pipe, freezing occurs as a result of the fluid losing heat and the inside of the pipe kind of resembles the fluvial sand deposits (waves) from a stream with different flow velocities (shallow vs. deeper x-sections).
2" Board insulation is an excellent form of frost protection for a buried pipe, provided the insulation extends beyond the pipe (at least one pipe diameter), because it allows the surrounding soils to retain heat (same pricipal as insulation on a concrete wall. 2" board insulation is equivalent to about 1.0 meters of clay.
I know of shallow buried transmission watermains (24" of cover), under a busy street, in Edmonton, Alberta where the amient tempurature surrounding the pipe on a worst case year could be as high as -15 Celcius. This pipe does not freeze due to the high velocities and relatively warm tempuratures of the fluid. The water does not lose much heat. Paulde, I suggest you undertake a thermal analysis and determine whether, at the worst case, the fluid loses suffiecient heat to warrant the costly undertaking of freeze protecting. Further, to balance your analysis, I would also suggest that you calculate the time to total freezeup of the main to determine how much time can transpire should a unforseen shutdown occur. I am assuming that in that case, the pipe will drain? (yes? no?)
To answer your question, yes, you can quantify the thermal losses in the unprotected pipe and whichever option is used for freeze protection. I hope this helps. KRS Services