HOME HELP FEEDBACK SUBSCRIPTIONS ARCHIVE SEARCH TABLE OF CONTENTS		QUICK SEARCH:   [advanced] Author: Keyword(s): Year:  Vol:  Page:

This Article Abstract Full Text Free Full Text (PDF) Free Alert me when this article is cited Alert me if a correction is posted Services Similar articles in this journal Similar articles in ISI Web of Science Alert me to new issues of the journal Download to citation manager Citing Articles Citing Articles via ISI Web of Science (2) Citing Articles via Google Scholar Google Scholar Articles by Tartakovsky, A. M. Articles by Tartakovsky, D. M. Search for Related Content PubMed Articles by Tartakovsky, A. M. Articles by Tartakovsky, D. M. GeoRef GeoRef Citation Agricola Articles by Tartakovsky, A. M. Articles by Tartakovsky, D. M. Related Collections Spatial Variability Analytical Solutions

Transient Flow in a Heterogeneous Vadose Zone with Uncertain Parameters

^a Geosciences Research Group, Idaho National Engineering and Environmental Laboratory, P.O. Box 1625, MS 2025, Idaho Falls, ID 83415-2025
^b Department of Mathematics, University of Arizona, Tucson, AZ 85721-0089
^c Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545

View larger version (16K): [in a new window]   Fig. 1. Mean saturation profiles, = + , normalized with the dimensionless flux Q.

View larger version (16K): [in a new window]   Fig. 2. The normalized variance of reduced saturation, 2/Q2, computed by direct MCS as a function of the number of Monte Carlo realizations. It is reported at the dimensionless depth z = 0.5 and several values of the dimensionless time t. The variance of log conductivity is 2Y = 0.4.

View larger version (19K): [in a new window]   Fig. 3. Mean reduced saturation (the Kirchhoff variable, matrix potential), /Q, on the soil surface, z = 0, computed analytically with the first-order approximation of the moment differential equations (MDE) and the mean-field approximation (MFA), and numerically with the Monte Carlo simulations (MCS).

View larger version (18K): [in a new window]   Fig. 4. The variance of reduced saturation, 2, on the soil surface, z = 0, computed analytically with the first-order approximation of the moment differential equations (MDE) and numerically with Monte Carlo simulations (MCS).