An isolation and filtration object including a volume of material having a first geometry wherein permeability is relatively lower, the geometry being that of a plug landable on a landing feature and a second geometry where permeability is relatively higher, the second geometry being larger than the first geometry and occupy a flow path in a borehole in which the plug is deployed. An isolation and filtration system including a housing, a plug seat in the housing, and an isolation and filtration object disposable on the plug seat. A borehole system including a borehole in a subsurface formation, a string in the borehole, and an isolation and filtration system connected to the string. A method for operating a borehole including migrating a plug to a seat in a housing, landing the plug in the seat, differentiating pressure across the plug, and transitioning the plug to the second geometry.