This happened to me about 15 years ago. Lost one leg underground, there is about a 150 foot run from the pole to the socket. I expected the poco to come in with a fancy TDR or other such fancy method. What they used worked perfectly and pinpointed the break exactly. There were three major parts to the apparatus, a low-end Fluke DMM, a metal stick, and a long roll of cheap speaker wire. The wire gets rolled out, and one end gets clipped to the neutral at the meter socket, the other plugged into the low terminal of the DMM. A short test lead goes from the stick to the volts input of the DMM. I tell the guys the path where the wire is buried (I staked this out for the poco when I built the place 22 years ago). The guy pokes the stick into the ground along the path of the cables. The closer he got to the house, the higher the reading got. From a couple hundred millivolts at the start, to about ten volts at ground zero. The target happened to be smack in the middle of a bush I had recently planted.

I knew for a fact that the cabling was at least 3 feet under ground at that particular point (and it was actually more like 4 ft). Guys removed the bush, dug down to the cables, one hot was pulled away from the rest by my backhoe guy during the backfill and drainage installation, you could see the shape of the bucket tooth in the bend of the wire. The aluminum cable deteriorated over time until it finally opened. The guys crimped and sealed the cable, replaced the soil and the shrub (which is still there) and all has been fine since. The guys worked till after midnight, I provided them scads of light (house on a generator), drinks and snacks. Friendly guys, and I learned some stuff that night too.
While they did have at their disposal more advanced equipment, I was told that in most cases the poke-sick method finds the trouble spot on, and much faster. It's only in areas with lots of electrical noise such as substations and large commercial/industrial do they get out the sophisticated stuff.