Add above-ground storage and Trixr606 had it right.
You mentioned the strategic reserves, which are 695 million barrels - with a capacity of 713.5mb, so there's room there. These are in various facilities in Texas and Louisiana.
The major commercial storage hub is Cushing, OK - the delivery point for the NYMEX WTI futures contract, and there's tons of storage on the Gulf Coast. EIA recently estimated these combined are 70% full:
https://www.eia.gov/todayinenergy/detail.cfm?id=23992Here's Cushing:
https://www.dropbox.com/s/7jcs7soewdljfsg/cushing.png?dl=0And overall US commercial stockpiles:
https://www.dropbox.com/s/k04kh22a5b98hyw/us_crude.png?dl=0But globally, when there's enough of a carry in the futures forward curve to warrant storage (price differential between prompt and out month is greater than storage costs including financing etc), that can be on land (cheaper) and, if the carry is strong enough, maritime as well.
China has built up a lot of storage capacity and there's a bunch coming online elsewhere. Here are EIA's projections for growth in oil stocks:
https://www.dropbox.com/s/9243861iyqg8tch/sd_balance.png?dl=0But the Paris-based IEA recently said there's 230mb of storage capacity additions that'll help soak up the forecast builds over the next year.
ETA: underground storage e.g. salt caverns is, in my experience, more closely associated with natural gas and natural gas liquids (NGL) storage, including propane.