Why it happens in Buffalo
First, rule out the pump
Fixr and Bob Vila list a few simple failures that make a pump run nonstop. They are worth checking before you assume a big water problem.
Stuck float
The float switch gets caught on the pit wall or the cord. The pump thinks the pit is full.
Broken check valve
The one-way valve on the pipe fails. Water in the pipe falls back into the pit, and the pump has to move it again.
Frozen or blocked line
The pipe outside is frozen, clogged or buried in snow. Water cannot leave.
Pump too small or worn out
An old or small pump cannot keep up and runs longer each time.
Then look at the water
If the pump itself is fine, then a lot of water is reaching your house. In Buffalo that usually comes from three places.
Snow melt. Buffalo gets about 95 inches of snow in a normal year. NOAA data lists a 50-year frost depth of 59 inches. In a thaw, melt water sits on top of the still-frozen ground and flows sideways into the drain tile around your basement. The pump works hard until the ground thaws.
Clay soil. Buffalo sits on the Erie Plain, the bed of old glacial lakes. Much of the soil is clay. It drains slowly, so groundwater stays high next to the foundation for days after a storm. The U.S. Army Corps of Engineers listed water pressure as one of four forces on basement walls in Amherst.
Roof water close to the house. A downspout that ends at the wall, or a discharge pipe that dumps right next to the house, can send the same water back into the pit in a loop.