It's nothing like the great flood of 1910 but days of rain and snow have the Seine overflowing. As you can see, the feet of Zouave who stands just below the Pont de l'Alma are underwater. The city closes the roadway along the river when the water level reaches 3.2 meters; at the moment, it's up to 3.9 meters and still rising, the highest it's been in 4 years. Traffic on the river has been stopped in the heart of Paris; my guess is that even the lowest profile barges would have a hard time making it under any of the bridges. You can read more at France 24.
To be honest, it's way too cold and damp for a promenade along the quais anyway. Having done my duty to get these snapshots, a cup of hot tea seems like a pretty good idea.