"digging water" is not a correct structure in written English.
It is more common to say "digging for water" or "digging a well". For example, "The villagers had been digging for water for days, but they still weren't able to find any."
The labors of sandhogs digging Water Tunnel No. 3, eight hundred feet below Manhattan.
Michael graduated from Samuel Gompers High School, named for the labor leader, and became a "sandhog," digging water and subway tunnels.
Large air-operated earth drills, mounted on motor trucks on trailers, are utilized for digging water wells and blast holes for quarry operations.
Corny, unbelievable novels; political books; stories by super-duper mountain-climber types who spend thousands snowboarding or traversing high peaks and writing books about it while they could be digging water wells in Peru someplace, helping somebody.
There's the curious case of a garroted Sherlock Holmes expert; the 23-year-old Frenchman who cons an American family into thinking he is their missing teenage son; the secret world of "sandhogs" digging water tunnels under New York.
And that it was spurred on in Yemen — the first country in the world expected to run out of water — by a list of grievances against an incompetent government, among the biggest of which was that top officials were digging water wells in their own backyards at a time when the government was supposed to be preventing such water wildcatting?
A power substation had to be installed, wells dug, water and sewer systems put in place.
In times of drought, elephants dig water holes in dry riverbeds by using their tusks, feet, and trunks.
Roughly a year after her divorce, in a tiny bar about 25 miles from her home, she met Ernest Brewer, who dug water wells for the United States Army Corps of Engineers.
That core group is together virtually all the time, traveling over considerable distances, stopping to dig water holes, looking for fresh foliage to uproot and devour.
Before the drainage canals were dug, water flowed from Lake Okeechobee, about seventy miles north of Miami, to Florida Bay, about forty miles to the south of the city, in one wide, slow-moving sheet.
