On Oct 31, 5:43 pm, John B wrote:
No running is planned on the existing line through Woolwich. Crossrail
will run in tunnel under the Royal Arsenal, with a station just north of
the existing Woolwich station. It stays north of the existing railway
until just past Plumstead, and then rises to the surface, running
parallel to the existing line until the terminus at Abbey Wood - which
will become a four-platform station. So the 3rd-rail and overhead
systems stay entirely separate.

This is presumably one of the reasons why the Crossrail extension from
Abbey Wood to Ebbsfleet was rejected.

IIRC capacity issues between Abbey Wood and Ebbsfleet were given as
the reason for not extending the route. At the time it was muttered
that the cut back was adopted to make the overall scheme affordable.A
cross platform Eurostar to Canary Wharf connection would have been
welcomed by the folks in the big block.