It happens to be in the Permian Basin, which has deposits of oil and gas. Also, the area has salt and potash that can be mined. WIPP itself is in salt. So there will almost certainly be people digging for one reason or another in that time.
The problem is how to place a message that will be understood as a warning to humans over that long of a time scale. The last thing you want is future archaeologists digging there because they think it is a tomb or monument.
Gregory Benford also talks about it (and some other interesting topics related to communicating over long time intervals) in his book Deep Time[2]. It's an interesting read.
[1] http://www.wipp.energy.gov/picsprog/articles/wipp%20exhibit%...
[2] https://smile.amazon.com/Deep-Time-Humanity-Communicates-Mil...
My understanding is that the clean up will run around $2 billion.
Don't know if the clean up needs to be complete before use restarts...
I don't think they're a source of materials used in the project (my first guess) because they can be found quite far away from the site, are present across varied terrain, and lack road access and indicators of work (eg tailings). Such uniformity in natural features always piques my interest. Will just be one of those endless mysteries of the desert, I suppose.
Or could be simply natural water drainage pools the middle dark spot in the middle kinda suggests that.
Too many of them and they are all over the desert for it to be man made.
So it sounds like the depressions are going to fill in quickly on a 10,000 year timescale and the exposed concrete is going to break down on the order of centuries. It might last a relatively long time in a buried form like Mayan pyramids, but not as an artwork with integrity, and I doubt much will be left at all by 10,000 years.
We're all ready to admire the single-minded devotion and amount of work that goes into TempleOS and I view this monument the same way.
http://inhabitat.com/incredible-cathedral-built-by-one-man-w...
https://en.wikipedia.org/wiki/Coral_Castle
Weird coincidence, tuberculosis was involved in both cases.