The term "permeate into" can be used to describe a substance or an idea infiltrating and spreading throughout a space or a group of people. Synonyms for this phrase include "penetrate," "seep into," "spread through," "infiltrate," and "diffuse." These words convey a sense of the substance or idea gradually spreading and filling all available spaces, just like water permeating the soil. Other possible synonyms for "permeate into" include "pervade," "infuse," "impart," and "imbue." Each of these words suggests a different aspect of the process of something spreading or filling a space, but they all describe the same fundamental idea of complete infiltration and saturation.