Mathematical Geology, Vol. 23, No. 8, 1991
Monitoring Well Placement Using Conditional
Simulation of Hydraulic Head I
Dale H. Easley, 2 Leon E. Borgman, 3 and Dennis Weber 4
A theoretical technique for conditioning simulations in frequency domain is developed and then
applied to a hydraulic-head data set from Pittman, Nevada. Frequency-domain simulation rapidly
generates simulations while requiring minimal computer memory. This makes it possible by using
a personal computer to create large numbers of simulations of a physical parameterfieldfor use
in studying stochastic processes. In our application, groundwater flowlines are constructed from
the simulations of the hydraulic head field. Then, the crossings of the flowlines at a transect down-
stream from a contaminant point source generate histograms for predicting the probability of plume
interception by groundwater monitoring wells. The simulation process is discussed in detail for the
Pittman study site.
KEY WORDS: conditional simulation, contaminant migration, geostatistics, plume interception.
INTRODUCTION
Geostatistical simulation shows great promise in the study of geological and
hydrological problems where the heterogeneity of the subsurface often cannot
be adequately characterized for use in deterministic models (Weber et al., 1991 ;
King and Smith, 1988; Journel and Isaaks, 1984). It has been used in these
areas less often than estimation techniques such as kriging (Aboufirassi and
Marino, 1984; Neuman and Jacobson, 1984) because the simulation algorithms
require larger amounts of computer memory and time. The goal of the research
reported in this paper was to develop and demonstrate faster and less memory-
intensive algorithms for geostatistical conditional simulation (GCS) for use in
earth science applications. The method presented here uses the computationally
a Received 30 April 1990; accepted 15 April 1991.
2Department of Geology and Geophysics, University of New Orleans, New Orleans, Louisiana
70122.
3Department of Geology and Geophysics, University of Wyoming, Laramie, Wyoming 82070.
4Environmental Research Center, Las Vegas, Nevada.
1059
0882-8121/91 / I 100-1059506.50/I © 1991 International Association for M athcmatical Geology