I think what is happening can accurately be described as social cleansing.
In April this year the Independent reported:
"More than 50,000 families have been silently shipped out of London boroughs in the past three years, an investigation by The Independent can reveal.
"Leaked documents obtained by this newspaper expose the true scale of the “social cleansing” taking place across the capital as a result of welfare cuts and soaring rents................
"The spike coincides with the Coalition’s introduction of the benefit cap and “bedroom tax”, both of which have made it significantly harder for poor people to afford housing in London..........
"Official figures – which the authorities have previously refused to publish – show the problem is much worse than campaigners feared. They show that councils are currently moving homeless mothers and children out of their boroughs at a rate of close to 500 families a week, with numbers continuing to rise.
"Some 2,707 families have been moved out of Greater London over the last two years, the figures show, to locations including Manchester, Bradford, Hastings, Pembrokeshire, Dover and Plymouth."