Hi Justus,
I also live in a cold climate, although not as cold as Siberia. I work in the building industry, and while I haven't had the chance to build my own WOFATI greenhouse yet, I have quite a bit of experience with heat flows through buildings and greenhouses specifically.
With greenhouses, there are a great number of factors that effect
energy use. Two of the biggest are heat losses through the glazing, and heat losses through air movement (air infiltration and the ventilation needed for your plants and animals).
With any sort of passive heating/cooling system, energy storage is based on a difference in temperature between the storage medium (earth in this case), and the energy source.
Let's take a single winter day in your greenhouse as an example:
It's a cold clear day with lots of sun. In the morning, as the sun begins to enter the greenhouse, the greenhouse warms up. When the greenhouse gets warmer than the earth surrounding it, the earth starts to absorb heat energy. The larger the difference in temperature between the earth and the greenhouse, the more energy the earth can absorb. This means that the hotter the greenhouse gets, the more energy you can store in the earth for later. Even when it is very cold out, sun can heat a greenhouse to 100F or more.
At night, the greenhouse begins to lose heat back to the outside. This can be slowed through the use of insulation and the closing of any vents, but you will lose some heat to the outside. At some point, the greenhouse temperature lowers below the temperature of the earth surrounding it. Now, the earth can give its heat back to the greenhouse. The colder the greenhouse gets, the more heat it can absorb from the earth around it. In my climate, it can get down to about -15 F. A greenhouse that is allowed to drop to freezing at night and goes up to 100 F during the day (using night-time insulation), will use very little supplementary heat. However, most plants don't like to be cycled that way.
A year is similar to my day-time example, except over a longer scale. In order to heat the earth during the summer, you need to have a heat source hotter than the earth. When it is time to use that heat, you need to have a space temperature lower than the temperature of the earth. Therefore, if you can only get the earth up to 60F during the summer, you'll only be able to use it to heat your space to some temperature less than 60F. After a while, the earth will cool down, and its ability to heat the space will diminish. The more earth you can warm, the longer your heat will last.
Bottom line - you'll need supplemental heat, but a lot less than a conventional greenhouse. The more extreme temperatures you/your plants can handle (hot during the day/summer and cold at night/winter), the less supplemental heat you'll need.
Regarding insulation - insulating the greenhouse is going to be pretty important. The north, east and west especially
should be insulated. The south should be glazed (with movable night-time insulation if possible). In this case, more insulation is always better, although there are diminishing returns. Include as much thermal mass as you can inside the insulation. The coldest external temperature is the air temperature, so insulating around the south side where the glazing meets the earth is especially important so that frost doesn't push through the wall and create a cold floor.
Another alternative to the PAHS system with air tubes is, if the greenhouse is not in use in say July, and August, is to close it up and let the sun heat the greenhouse as much as possible so that the earth around the greenhouse warms. You can pre-heat the thermal mass of the earth this way, without additional infrastructure.
A Jean Paine pile is a great idea if you have a source for the raw materials and a use for the
compost. You might also look into a masonry style heater for supplementary heat. They burn
wood very efficiently and store and distribute heat over a longer period of time. Compared to a Jean Paine pile, you'll probably need 1/3 of the wood (but you don't get compost out of it at the end)!
Hope this helps you some.
--
Karen