The invention discloses a method for representing time-space scale association of solute transport in a
porous medium. The method comprises the steps of selecting a solute transport process in the specific
porous medium as a
research object, determining a test condition, and obtaining
test data of a solute breakthrough curve; building a time-space fractal derivative
convection dispersion model, and deriving an analytic solution of the time-space fractal derivative
convection dispersion model; in combination with the
test data of the solute breakthrough curve, calculating parameters of the time-space fractal derivative
convection dispersion model, quantizing the solute breakthrough curve by adopting the analytic solution of the model, and analyzing early arrival and trailing features of thebreakthrough curve; and according to values of the
model parameters, analyzing an association degree between the
model parameters and a time or space scale, and giving a quantitative relationship between the
model parameters and the time or space scale. The smaller the orders of a time fractal derivative and a space fractal derivative are, the higher the time-space association degree is, and themore remarkable the early arrival and trailing features of the breakthrough curve is. The method can be used for
groundwater and soil
pollution prediction, assessment, remediation and the like, and isconvenient for use in
engineering.