Good enough is good enough. There is no one size fits all, and we really need to start leveraging everything we can to tackle energy storage. Each thing used doesn't need to be perfect for energy density, it just has to be good enough.
> assume you build a tower 120 meters tall.
vs sticking a concrete block in the ground like this paper is proposing.
As long as the durability is there, and it scales up like they say, this concrete block thing has interesting practical potential, because concrete is so ubiquitous. It's in foundations, it's in walls, it's in floors, it's under the road, sidewalk etc.
Heck, where I live we could turn our whole street in to one big battery to service the neighbourhood, while we couldn't possibly stick a whopping great big tower with concrete blocks in it, or a suitable size water tower.
I have seen a few 120m towers. They call them skyscrappers.
Anyway, all this for 20Kwh. I can get a Nissan Leaf with a 40/60Kwh battery for way less than a skyscrapper. Most likely for way less than what it costs to make a 120m deep hole.
Long story short: cranes and concrete don't make a practical battery, but they make for many articles and publications.
Before you say "but lithium is hard to find, and concrete isn't": you can also make lead batteries, and ni/cd batteries, and liquid air batteries too. I don't expect the Earth to run out of air in the next decades.
Static concrete being able to store power like a battery, like the article is talking about, is ideal if it works (possibly with caveats depending on how quickly it degrades). It's a ubiquitous material, used all over the place. It'd be getting value out of something that is going to be used anyway.
Anything heavy can be used as a gravity battery. Water in hydro pump for example. Or lead, or concrete. Lead is not that cheap, concrete is not that effective. For water we usually have already constructed a dam, it's just a case of adding another pipe and a pump.
But I guarantee you that if we were to construct a dam, pipe and pump just for energy storage - instead of taking an already existing dam we built for another reason, it would also not be as good as a bunch of batteries in pretty much all relevant factors.
California is one potential location, and there's been a lot of interest in pumped hydro from the California Department of Energy (and utilities), but I doubt it'd work as well nationwide.
Checking their site, I see they currently have a 100MWh storage under construction in china, with a different, boxy-building design. No idea on costs. https://www.energyvault.com/project-cn-rudong
I think the more popular approach is to use a deep hole, like a mine shaft. Maybe depth measured in kms. Because you're suspending from above you might be able to get a bit heavier than 60 tons.