STOCHASTIC-ANALYSIS OF UNSATURATED FLOW - ONE-DIMENSIONAL MONTE-CARLO SIMULATIONS AND COMPARISONS WITH SPECTRAL PERTURBATION ANALYSIS AND FIELD OBSERVATIONS

Date

1990-09-01

Author

Ünlü, Kahraman
BIGGAR, JW

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

136
views

0
downloads

A numerical experiment was designed to study the stochastic behavior of one‐dimensional transient unsaturated flow in a Monte Carlo setting. Soil hydraulic properties, log‐saturated hydraulic conductivity ln Ks, pore size distribution parameter α, and the specific water capacity C are assumed to be statistically homogeneous random fields described by exponential correlation functions with identical correlation lengths. Fifty realizations of each soil hydraulic property, with statistical properties obtained from a field experiment, are generated by using a nearest‐neighbor model. Numerical solutions of the one‐dimensional flow equation are used repeatedly to obtain realizations of soil water pressure head ψ and flux q corresponding to the realizations of In Ks, α, and C. The dependence of ψ and q on the statistical properties of ln Ks, α, and C and the magnitude of the hydraulic head gradient G prevailing at the lower boundary are investigated. In addition, results of Monte Carlo analysis and spectral perturbation analyses are compared with field observations. The greatest variability of ψ and q are observed when soil hydraulic properties are uncorrelated and have large variances and integral scales and when G at the lower boundary is unity. The Monte Carlo and spectral perturbation analyses tend to agree reasonably well for the flow domains in which ergodicity of local soil hydraulic properties is assured. Results of the Monte Carlo and spectral perturbation analyses are also supported by field observations.

Subject Keywords

Environmental Sciences, Limnology, Water Resources

URI

https://hdl.handle.net/11511/56623

Journal

WATER RESOURCES RESEARCH

DOI

https://doi.org/10.1029/90wr01044

Collections

Department of Environmental Engineering, Article

Suggestions

OpenMETU
Core

Analytical solution for the propagation of finite crested long waves over a sloping beach Yağmur, Ahmed Sabri; Kanoğlu, Utku; Department of Aerospace Engineering (2022-2-10) The analytical solution of shallow water-wave equations, both linear and nonlinear, is widely used to provide an insightful understanding of the coastal effect of long waves. These solutions are generally carried out for two-dimensional (1 space + 1 time) propagation, even though there are a limited number of analytical solutions for the three-dimensional (2 space + 1 time) propagation. Three-dimensional propagation of long waves over a sloping beach is considered here. The analytical solution is obtained u...
SLW model for computational fluid dynamics modeling of combustion systems: Implementation and validation Ozen, Guzide; Selçuk, Nevin (2016-01-01) Spectral Line-Based Weighted Sum of Gray Gases (SLW) model was implemented to Computational Fluid Dynamics (CFD) Solver, ANSYS FLUENT. Discrete Ordinate Method (DOM) available in ANSYS FLUENT was used as Radiative Transfer Equation (RTE) Solver. ANSYS FLUENT with SLW was applied to the prediction of incident heat fluxes for three test problems; two containing isothermal homogenous/nonhomogenous water vapor and one isothermal water vapor/carbon dioxide mixture. Predictive accuracy of SLW in ANSYS FLUENT was ...
Adsorption of water and ammonia on TiO2-anatase cluster models

Önal, Işık; Senkan, Selim (2006-06-15)

Density functional theory (DFT) calculations performed at B3LYP/6-31G** level are employed to study water and ammonia adsorption and dissociation on (101) and (001) TiO2 anatase surfaces both represented by totally fixed and partially relaxed Ti2O9H10 cluster models. PM3 semiempirical calculations were also conducted both on Ti2O9H10 and Ti9O33H30 clusters in order to assess the effect of cluster size. Following dissociation, the adsorption of H2O and NH3 by H-bonding on previously H2O and NH3 dissociated s...
Mutual coupling of printed elements on a cylindrically layered structure using closed-form Green's functions Acar, R. C.; Dural, G. (EMW Publishing, 2008-01-01) A hybrid method to calculate mutual coupling of electric or magnetic current elements on a cylindrically layered structure using closed-form Green's functions is presented. When rho = rho' and phi is not very close to phi', closed-form Green's functions are employed in the calculation of MoM matrix entries. When both rho = rho' and phi = phi', series representation of the spectral domain Green's functions do not converge, therefore closed-form Green's functions can not be employed. In that case MoM matrix e...
Comparison of methods for estimating carbonaceous BOD parameters Uludag-Demirer, S; Demirer, Göksel Niyazi; Bowers, AR (Informa UK Limited, 2001-08-01) The performance of seven different methods (Differential, Fujimoto, Thomas, Graphical, Integral, Log-Difference, and Nonlinear Regression) for estimating first-stage, carbonaceous biochemical oxygen demand (CBOD), curve parameters, namely k and L-0 were compared using synthetic data generated by Monte Carlo simulation technique. The comparison of the methods was made based on their efficiency in retrieving the original values of k and L-0 which were selected to generate the synthetic data. In the first part...

Citation Formats

K. Ünlü and J. BIGGAR, “STOCHASTIC-ANALYSIS OF UNSATURATED FLOW - ONE-DIMENSIONAL MONTE-CARLO SIMULATIONS AND COMPARISONS WITH SPECTRAL PERTURBATION ANALYSIS AND FIELD OBSERVATIONS,” WATER RESOURCES RESEARCH, pp. 2207–2218, 1990, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/56623.