I'll start by saying I'm no authority on anything really though I have spent a bit of time in recent years wandering around Avebury and the Wiltshire downs in my spare time. When I realised there are actually several sealed off wells around Avebury I was intrigued until a friend pointed out that there used to be a time when 'the well' was the only source of water for domestic use (the Red Lion pub is built over the village well).
Wells and springs are fed by ground water and in summer often run dry - except perhaps the wells that are held sacred. I read somewhere that the Chalice Well spring and the White spring in Glastonbury have never run dry and the water is always cold.
In answer to your question - as we no longer use wells for our domestic water sources, probably not. Instead the Water Boards build new reservoirs to store water.