A methodology based on a combination of numerical simulation of conser
vative transport and an analytical solution for combined matrix diffus
ion and surface sorption is presented for the study of tracer tests co
nducted under non-uniform flow conditions in heterogeneous fractures.
The methodology is based on a Monte Carlo technique with multiple real
izations; hence uncertainty in transport estimates can be assessed. In
an illustration example, the methodology is implemented for dipole pu
mping conditions (i.e. one injection borehole and one retrieval boreho
le) in a single fracture. The effect of experimental conditions such a
s pumping rate and tracer properties on matrix diffusion are investiga
ted. Due to the kinetic character of the mass transfer process, it is
shown that for high flow rates with consequent high advection velociti
es and short residence times relative to the mass transfer rate, matri
x diffusion only develops to a minor extent. The effect of fracture he
terogeneity is also exemplified. The results indicate that both hetero
geneity in transmissivity and matrix diffusion may be manifested as ta
iling in solute arrival. Hence it is generally difficult to distinguis
h these processes under experimental conditions.