HR: 09:30h
AN: H41G-07 INVITED [Abstracts]
TI: Multivariate Sensitivity Analysis of Saturated Flow Through Simulated Highly Heterogeneous Groundwater
Aquifers
AU: * Winter, L
EM: lwinter@ucar.edu
AF: National Center for Atmospheric Research, 1850 Table Mesa Drive, Boulder, CO 80305
United States
AU: Tartakovsky, D M
EM: dmt@ucsd.edu
AF: University of California, San Diego, EBU II, Room 577, Mail Code 0411, La Jolla, CA 92093
United States
AU: Guadagnini, A
EM: alberto.guadagnini@polimi.it
AF: Politecnico di Milano, Piazza L. Da Vinci, 32, Milan, 20133
Italy
AU: Nychka, D
EM: nychka@ucar.edu
AF: National Center for Atmospheric Research, 1850 Table Mesa Drive, Boulder, CO 80305
United States
AB:
A multivariate Analysis of Variance (ANOVA) is used to measure the relative sensitivity of groundwater flow to two factors
that indicate different dimensions of aquifer heterogeneity. An aquifer is modeled as the union of a disjoint collection of
volumes, or blocks, composed of different materials with different hydraulic
conductivities. The factors are correlation between the hydraulic conductivities of the different materials and the contrast
between mean conductivities in the different
materials. The precise values of aquifer properties are usually uncertain because they are only sparsely sampled, yet are
highly heterogeneous. Hence, the spatial distribution of
blocks and the distribution of materials in blocks are uncertain and are modeled as stochastic processes. The ANOVA is
performed on a large sample of Monte Carlo simulations of a simple model flow system composed of two materials and three
blocks. Simulated flow is much more sensitive to the contrast between mean conductivities of the blocks than it is to the
intensity of correlation, although both factors are statistically significant. The methodology of the experiment - ANOVA
performed on Monte Carlo simulations of a multi-material flow system - can form the basis of additional studies of
more complicated interactions between factors that define flow through an uncertain aquifer.
DE: 1873 Uncertainty assessment (3275)
DE: 3245 Probabilistic forecasting (3238)
DE: 3265 Stochastic processes (3235, 4468, 4475, 7857)
DE: 3275 Uncertainty quantification (1873)
DE: 4468 Probability distributions, heavy and fat-tailed (3265)
SC: Hydrology [H]
MN: Fall Meeting 2005