Methods for reducing fines migration in a porous subterranean reservoir. In certain aspects, the methods include introducing a composition including a water-soluble or dispersible branched polyhydroxyetheramine into the porous subterranean reservoir, maintaining a sufficient temperature in the porous subterranean reservoir for a period of time, adsorbing the composition onto a surface of the porous subterranean reservoir, and stabilizing at least a portion of the fines present in the porous subterranean reservoir. A treatment composition can be used and in certain aspects, the treatment composition can be a reaction product of bisphenol A, an ethanol amine, diethanol amine, and a monofunctionalized polyoxyalkyleneamine.