Expand ground source heat pump to heat a small indoor pool

Whereas the storage tank is on the one hand significantly warmer (40 degrees+) and has a less favorable volume-to-surface ratio. But that brings me to the question of what kind of pool this is supposed to be. As a plunge pool after the sauna, it is too warm; as a wellness pool, too cold. For swimming, it is too small.

"Endless Pool Performance" with counter-current system

The counter-current system (cool thing that ;-) causes turbulence, larger surfaces, and thus accelerated heat loss from water to air. I'll predict, one could try to calculate it. But if the input parameters are vague, the result will be as well.

The countercurrent system (cool thing that ;-) causes turbulences, larger surfaces and thus accelerated heat loss from water to air. I would predict that one could try to calculate it. But if the input parameters are vague, the result will be as well.

Can you calculate something like that? If not, who could calculate it for me?

With 10m3 of water and 12kw heating power, it is enough to heat the "pool". It just always has to be covered when not in use. But it is only sufficient if you do not need heating power for the house. The heat loss will be between 2-3 degrees. The required dehumidification system will consume a considerable amount of electricity.

With 10m3 of water and 12kW heating power, it is enough to heat the "pool." It just always has to be covered when not in use.
However, it is only sufficient if you do not need heating power for the house. The heat loss will be between 2-3 degrees.
The required dehumidification system will consume a considerable amount of electricity.

It is clear that the 12kW geothermal heat pump is sufficient to heat the pool if no heating power is needed for the house.

A 4kW electric heater is supplied. That would even be enough to bring the pool up to operating temperature if the pool were installed outdoors.

The question is, once the pool is heated (in summer), whether, for example, a 1kW heater would be enough to maintain the pool temperature over the winter, so that 11 kW of the 12kW heat pump would remain available for the house.

If the full 12kW were needed for heating the house during the coldest weeks of the year, the pool could remain unheated during those weeks.

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Regarding dehumidification:

The pool has a cover when not in use. The moisture generated during use is to be vented outside via a bathroom fan with heat recovery.

The originally planned variant (ventilation via already existing central controlled residential ventilation) seems not to be feasible:
https://www.hausbau-forum.de/threads/poolraum-an-kontrollierte-wohnraumlueftung-anschliessen-chlorwasser-kondensation.45213/

Sorry but the seller is telling you total nonsense. The 4Kw are enough if the pool is covered and the outside temperature is almost the desired temperature. Internally, the 4kw can be sufficient with 24h heating operation and lower water temperatures. And no, 1Kw will not maintain the water temperature for you. You have between 2-3 degrees of heat loss per day. For 10m3 you need between 23.2 kwh and 34.8 kwh just to compensate for the loss. With usage, the loss is even greater. Not to mention if you want to increase the water temperature. Together with the 4kw heater, it will be enough to maintain the temperature. But that also means almost 24h circulation and heating. Sorry if I am so direct. With pools, rubbish is often sold. Later, the users complain about poor water quality, operating costs, etc.