Stochastic analysis of flow in a heterogeneous unsaturated-saturated system

Water Resources Research

Volumn 38, Issue 2, 2002, Pages 10-1-10-15

  Zhang, Dongxiao ^a   Lu, Zhiming ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Flow; Heterogeneity; Multiscale; Saturated; Stochastic; Unsaturated

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; MATHEMATICAL MODELS; METHOD OF MOMENTS; MONTE CARLO METHODS; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; RANDOM PROCESSES;

PERTURBATION EXPANSIONS;

FLOW MEASUREMENT;

MONTE CARLO SIMULATION; POLLUTANT TRANSPORT; SATURATED MEDIUM; TRANSIENT FLOW; UNSATURATED MEDIUM; WATER TABLE;

MONTE CARLO ANALYSIS; POLLUTANT TRANSPORT; SATURATED MEDIUM; TRANSIENT FLOW; UNSATURATED MEDIUM; WATER TABLE;

EID: 0036219809     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2001wr000515     Document Type: Article

References (53)

1. Stochastic analysis of one-dimensional steady state unsaturated flow: A comparison of Monte Carlo and perturbation methods
2. Convective and pore scale dispersive solute transport in unsaturated heterogeneous fields
3. Hydraulic properties of porous media
4. Nonlocal dispersion in media with continuous evolving scales of heterogeneity
5. Solute transport in heterogenous porous formations
6. Solute dispersion in unsaturated heterogeneous soil at field scale, I, theory
7. The effect of heterogeneity on large scale solute transport in the unsaturated zone
8. Solute transport through an integrated heterogeneous soil-groundwater system
9. Head and flux variability in heterogeneous unsaturated soils under transient flow conditions
10. Stochastic analysis of transient flow in unsaturated heterogeneous soils
11. Some steady state solutions of unsaturated moisture flow equations with application to evaporation from a water table
12. Three-dimensional stochastic analysis of macrodispersion in aquifers
13. Stochastic analysis of nonstationary subsurface solute transport, 2, conditional moments
14. Nonlocal and localized analyses of conditional mean steady state flow in bounded, randomly nonuniform domains, 1, theory and computational approach
15. Nonlocal and localized analyses of conditional mean steady flow in bounded, randomly nonuniform domains, 2, computational examples
16. Stochastic analysis of solute transport in heterogeneous, variably saturated soils
17. Conditional stochastic analysis of solute transport in heterogeneous, variably saturated soils
18. Two-dimensional steady state unsaturated water flow in heterogeneous soils with autocorrelated soil hydraulic properties
19. Stochastic analysis of unsaturated steady state flow through bounded heterogeneous formations
20. A conceptual-stochastic model of unsaturated flow in heterogeneous soils
21. Sensitivity and moment analyses of head in variably saturated regimes
22. A conceptual perturbation model of water movement in stochastically heterogeneous soils
23. Direct solution of unsaturated flow in randomly heterogeneous soils
24. A theoretical approach for modeling unsaturated flow in spatially variable soils: Effective flow models in finite domains and nonstationarity
25. Stochastic theory of field-scale Fickian dispersion in anisotropic porous media
26. Stochastic analysis of head spatial variability in bounded rectangular heterogeneous aquifers
27. Stochastic modeling of large-scale flow in heterogeneous unsaturated soils
28. Stochastic modeling of macrodispersion in heterogeneous media
29. Determining soil hydraulic properties by parameter estimation: On the selection of a model for the hydraulic properties
30. Stochastic modeling of macrodispersion for solute transport in a heterogeneous unsaturated porous formation
31. On the velocity covariance and transport modeling in heterogeneous anisotropic porous formations, 2, unsaturated flow
32. Stochastic analysis of the velocity covariance and the displacement covariance tensors in partially saturated heterogeneous anisotropic porous formations
33. Statistical analysis of spatial variability in unsaturated flow parameters
34. Correlation model of transport in random fields
35. Prediction of solute spreading during vertical infiltration in unsaturated, bounded heterogeneous porous media
36. Conditional stochastic averaging of steady state unsaturated flow by means of Kirchhoff transformation
37. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils
38. A perturbation expansion for diffusion in a random velocity field
39. One-dimensional steady state infiltration in heterogeneous soils
40. Stochastic analysis of unsaturated flow in heterogeneous soils, 1, statistically isotropic media
41. Stochastic analysis of unsaturated flow in heterogeneous soils, 2, statistically anisotropic media with variable α
42. Numerical solutions to statistical moment equations of groundwater flow in nonstationary, bounded heterogeneous media
43. Nonstationary stochastic analysis of transient unsaturated flow in randomly heterogeneous media
44. Eulerian-Lagrangian analysis of transport conditioned on hydraulic data, I, analytic-numerical approach
45. Nonstationary stochastic analysis of steady state flow through variably saturated, heterogeneous media
46. Moment equation approach to single phase fluid flow in heterogeneous reservoirs
47. Stochastic analysis of steady state unsaturated flow in heterogeneous media: Comparison of the Brooks-Corey and Gardner-Russo models