Another unintended consequence...a steady stream of Russians crossing the border into Finland:
At Finland's border crossing with Russia at Vaalimaa, 120 miles (193 kilometres) east of Helsinki, buses and cars stop for passport and customs checks.
These aren't Ukrainians, they're Russians - and although the flow isn't heavy, it is constant.
People are anxious to get out of Russia because there has been a persistent rumour that Vladimir Putin's government might soon introduce martial law to deal with demonstrations against the invasion of Ukraine.
We spoke to one young Russian woman who was leaving for the West. She was in despair at what has been happening.
"People in Ukraine are our people – our family," she says. "We shouldn't be killing them."
Would she think of going back, I asked?
"Not while our dreadful government is there. It is so, so sad."
There's immense sympathy for people like her in Finland, just as there is for Ukraine and its inhabitants.
This sympathy, and the fear that Russia might lash out at other neighbours like Finland itself, is changing attitudes to Finland's traditional neutrality.
According to the latest opinion polls, a growing majority of Finns believe that it's time for their country to join Nato and get the protection that membership of the alliance would bring.