Hk. French et al., Prediction uncertainty of plume characteristics derived from a small number of measuring points, HYDROGEOL J, 8(2), 2000, pp. 188-199
A small number of measuring points may inflict a bias on the characterisati
on of now and transport based on field experiments in the unsaturated zone.
Simulation of pure advective transport of a Gaussian plume through a setup
of 30 regularly placed measuring points revealed regular temporal fluctuat
ions about the real spatial moments. An irregular setup predicted both irre
gular fluctuations and larger discrepancies from the real value. From these
considerations, a regular setup is recommended. Spatial moments were sensi
tive to the plume size relative to the distance between individual measurin
g points. To reduce prediction errors of the variance, the distance between
the measuring points should be less than twice the standard deviation of t
he examined plume. The total size of the setup should cover several standar
d deviations of the plume to avoid mass being lost from the monitored area.
Numerical simulations of a dispersing plume (comparing calculations based
on 9000 nodes with 30 measuring points) revealed that vertical and horizont
al centres of mass were predicted well at all degrees of heterogeneity, and
the same was the case for horizontal variances. Vertical variances were mo
re susceptible to prediction errors, but estimates were of the same order o
f magnitude as the real values.