N. Sun et al., Sensitivity analysis and parameter identifiability for colloid transport in geochemically heterogeneous porous media, WATER RES R, 37(2), 2001, pp. 209-222
Effective use of colloid transport models for heterogeneous subsurface poro
us media requires the development of methodologies to identify the key mode
l parameters. The inverse problem of a two-dimensional model for colloid tr
ansport in geochemically heterogeneous porous media is systematically inves
tigated in this paper. Sensitivity analysis prior to the parameter identifi
cation provided valuable insights into the identifiability of the six model
parameters. The hydraulic conductivity and longitudinal dispersivity were
identified from tracer breakthrough data and then were used in the remainin
g parameter identification. The four colloid deposition and release paramet
ers, favorable (fast) colloid deposition rate coefficient, geochemical hete
rogeneity, unfavorable (slow) colloid deposition rate coefficient, and coll
oid release rate coefficient from the unfavorable surface fraction, were fo
und to be highly interrelated, and the inverse solution of the four-paramet
er set was not unique. When either the geochemical heterogeneity or favorab
le colloid deposition rate coefficient is known, the other three colloid de
position and release parameters can be identified via the inverse solution
if the duration of the colloid injection is sufficiently long. The colloid
release rate coefficient, however, cannot be identified when using a short
(pulse-like) colloid injection. Neglecting the colloid release rate results
in estimation errors of the other model parameters and thus adversely affe
cts the subsequent prediction of colloid transport.