You can use the latest version for factorio .15+. I'm a complete amateur when it comes to factorio modding but here's what I know.
Change the following things :
Under Factorio\mods\quarry_1.5.1\prototypes - open technology with something like notepad++, then change one of the lines in the last paragraph :
from
table.insert(data.raw["technology"]["alien-technology"].effects,
to
table.insert(data.raw["technology"]["advanced-material-processing-2"].effects,
Next, open alien-quarry in that same folder and remove/change the line :
{"alien-artifact", 30}
You could change it to a type of science pack for balance w/e
Finally open info.json in the top folder of mod and change the line :
from
"factorio_version": "0.14",
to
"factorio_version": "0.15",
I'm currently using the mod in the 0.15.5 version this way and the quarries are working. The names are weirded out but other than that the above method allows the mod to function in .15+.
BTW thank you to OP for making this very cool mod.