permeate (something) with (something)
To cause something to become full or saturated with something. Often used in passive constructions. Her cooking permeated the air with wonderful aromas. The extreme rainfall had begun permeating the walls with moisture. His stories are typically permeated with allusions to real events.
permeate something with something
to saturate something with something. The comedian permeated his act with smutty jokes. The evening air was permeated with the smell of jasmine.