The amount of energy needed to test things is just intuitively huge. Boiling one liter of water takes the equivalent amount of energy as lifting 34 metric tons up a meter. Or to translate it to human scale: the same as walking a vertical climb of 1000m with a weight of 34kg.
The advantage of that type of storage is that it scales very well. Batteries are cool when space is an issue. But when it is not, digging out a hole and insulating it is surprisingly effective per unit of work stored there.
Sand/rock heat storage is for industrial and utility scale application, not your house.
> You can also use water for storage, but again you have the issue needing a tank (and water is a drowning hazard, plus the worry about leaks...)
Tank heat pump water heaters are available and can already do load shifting on a daily basis (using off peak cheaper and cleaner electricity). I have one and it works great, and I guarantee it isn't a drowning hazard.
There are versions of these systems that can store enough heat to heat a house, not just provide hot water at the tap.
I've seen them for a house as well. (when the utility offers a large discount for power used overnight - 40 years ago my local coop was trying to sell my parents on this, but since we had natural gas heat it wasn't worth it) To hold more than a days worth of heat you need a lot of rocks.
Heap pump water heaters work, but you need a large one to hold a days worth of hot water (40 years ago my family had 200 gallons of hot water storage - the utility gave my parents a discount on water heating because we only heated water at night, we ran out of hot water once that I remember). If you want to store more water than a days worth of use then you need more storage. This can become a drowning hazard if we are talking about a couple weeks worth.
Can you point at a residential scale rock heat storage system that is available? I saw one startup in the UK trying this several years ago, but can't find them now, and haven't seen anything since.
> Heap pump water heaters work, but you need a large one to hold a days worth of hot water
Mine (for a household of 4) is 45 gallons - small by US standards - but we keep it at a high temperature (along with a mixing valve) to get higher "virtual" hot water capacity during peak usage hours. It serves us fine for daily usage, but we also have efficient flow taps and showers throughout the house so that helps too.
> If you want to store more water than a days worth of use then you need more storage
I don't think it makes sense to store hot water for days if the goal is to minimize energy costs. The standby losses would be pretty significant, even with a very well insulated tank.
If the goal is resilience to a grid outage, it makes more sense to have a solar PV array + batteries that you can use to run the heat pump water heater, or have a backup gas-powered heater.
But low grade heat cannot efficiently drive a heat engine to produce other, more useful and transferable versions of energy, like electricity. For that you need "high grade" heat.
The reason is, heat engines do not operate on heat. They operate on heat flow. You must have a high temperature side and a low temperature side, and you extract energy by taking heat out of the high side and injecting it to the low side, through various processes. By thermodynamics, this process has hard efficiency limits of around 35%, with that efficiency heavily affected by the delta between the hot and cold side.
The "low" heat side is often a great source of low grade heat, for industrial or communal purposes, but cannot be used to run an efficient heat engine. It's already "used up" essentially.
The efficiency of any heat engine is bounded by the Carnot cycle. In simplified form, it depends on the temperature differential between the cold and the hot parts. So if your hot part is at 300C (572 Kelvin), and the cold part is at 30C (300 Kelvin) then the absolutely best possible efficiency is around (572-300)/572*100% = 47%.
You see that it quickly becomes inefficient as the differential goes down. E.g. if you use 90C to store the heat, then the maximum efficiency is just 17%.
So in that regard heat is very useful in producing energy. But converting directly from heat to energy? Not so much as far as I know.