Abstract: Disclosed is a method for estimating porous-media longitudinal dispersion and adsorption coefficients. According to various embodiments of the invention, a method for estimating porous-media longitudinal dispersion coefficients is provided, which includes introducing a pure phase component though a porous medium, and introducing a component having a same phase as the pure phase component through the porous medium. The component includes a viscosifying agent having a non-linear viscosity-concentration dependence. The method further includes measuring, using a permeability analyzer, a pressure drop across the porous medium after each introduction at a plurality of intervals over a period of time. Further, the method includes determining, using the measured pressure drops, a pressure transition, and analyzing the pressure transition across the porous medium to determine a dispersion coefficient for the porous medium.