What's actually happening
Your whole-house humidifier is running water nonstop, and it sounds like it's coming from upstairs. Here's the short version: the valve that feeds it water is stuck open, or the control telling it to run never shuts off.
The reason it seems 'upstairs only' is simple. The humidifier is bolted to your furnace or ductwork, and that furnace is probably in an upstairs closet, attic, or utility space. Water running through the unit echoes down the ducts.
This is on the emergency end of things because water is either dumping down a drain 24/7 or, worse, pooling somewhere it shouldn't. Both cost you money the longer they run.
Good news: this is usually a DIY fix, and the part is cheap. The trick is stopping the water first, then figuring out which of two things failed.
How a whole-house humidifier is supposed to behave
Most homes have a flow-through (also called drain-through) bypass or fan-powered humidifier. Water trickles across an evaporator pad while the furnace blows warm air through it.
The humidistat is the control. When indoor humidity drops below its setting, it calls for water. A solenoid valve opens, water flows across the pad, and the excess drains away.
The key detail: on most systems the humidifier only runs when the furnace blower is running AND the humidistat is calling. Two conditions, not one.
So if water runs when the furnace is completely off, or runs continuously through heat cycles, one of those controls has failed. That's your fault line.