The constant displacement (CD) scheme has been shown to be fast, compu
tationally efficient and accurate for dispersion-free particle trackin
g in highly heterogeneous fields. In this paper, the CD scheme is exte
nded and applied in the random walk method. Also the previously develo
ped Q-BASIC program of particle tracking is extended to be more genera
l for modeling contaminant transport in heterogeneous media, including
the calculation of snapshots in the CD scheme. The results from an ex
ample show that the CD scheme may be fifteen times faster than the tra
ditional constant time (CI) scheme for the calculations of contaminant
transport in highly heterogeneous media. Copyright (C) 1996 Elsevier
Science Ltd