Multivariate sensitivity analysis of saturated flow through simulated highly heterogeneous groundwater aquifers

C Larrabee Winter, A. Guadagnini, D. Nychka, D. M. Tartakovsky

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

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 disjoint 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 distributed within three disjoint blocks. Our key finding is that 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 - constitutes the basis of additional studies of more complicated interactions between factors that define flow and transport in aquifers with uncertain properties.

Original languageEnglish (US)
Pages (from-to)166-175
Number of pages10
JournalJournal of Computational Physics
Volume217
Issue number1
DOIs
StatePublished - Sep 1 2006
Externally publishedYes

Fingerprint

aquifers
sensitivity analysis
ground water
Aquifers
Sensitivity analysis
Groundwater
analysis of variance
Analysis of variance (ANOVA)
conductivity
hydraulics
Hydraulic conductivity
unions
stochastic processes
Groundwater flow
Random processes
spatial distribution
simulation
Spatial distribution
methodology
sensitivity

Keywords

  • Groundwater flow
  • Parametric uncertainty
  • Sensitivity analysis
  • Stochastic partial differential equations

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy(all)

Cite this

Multivariate sensitivity analysis of saturated flow through simulated highly heterogeneous groundwater aquifers. / Winter, C Larrabee; Guadagnini, A.; Nychka, D.; Tartakovsky, D. M.

In: Journal of Computational Physics, Vol. 217, No. 1, 01.09.2006, p. 166-175.

Research output: Contribution to journalArticle

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