permeate versus permeate through

To pass through the openings or interstices of:
To spread or flow throughout; pervade
to pass into or through and affect every part of; penetrate and spread through
to spread or diffuse through a room permeated with tobacco smoke
to spread through something and be present in every part of it:
to be diffused through; pervade; saturate:
To spread through or penetrate something
to become diffused; spread.
to spread or diffuse; penetrate
to diffuse through or penetrate something
to become diffused; penetrate.