TY  - JOUR
AU  - Englert, A.
AU  - Vanderborght, J.
AU  - Vereecken, H.
TI  - Prediction of velocity statistics in three-dimensional multi-Gaussian hydraulic conductivity fields
JO  - Water resources research
VL  - 42
SN  - 0043-1397
CY  - Washington, DC
PB  - AGU
M1  - PreJuSER-52903
SP  - W03418
PY  - 2006
N1  - Record converted from VDB: 12.11.2012
AB  - To study statistics of velocity fields in three-dimensional heterogeneous multi-Gaussian saturated hydraulic conductivity fields and the accuracy of their prediction, we performed high-resolution Monte Carlo ( MC) analyses. The MC analyses included variances of the log hydraulic conductivity in the range of 0.5 <= sigma(2)(Y) <= 3.0 and anisotropy ratios in the range of 0.017 <= e <= 1. The statistics of the velocity fields from the MC analyses are compared with analytical solutions of the first- and second-order approximations of the stochastic flow equation. This paper shows that the second-order approximations fit significantly better to the univariate statistics of the Darcy velocity from the MC analyses. For isotropic cases the second-order approximations correspond fairly well to the univariate statistics of the velocity. For anisotropic cases the accordance is given only for the mean velocity and the variance of the transverse vertical component of the velocity. The MC analyses show that the spatial correlation of the velocity decreases more rapidly with increasing sigma(2)(Y). This was more pronounced for the anisotropic than for the isotropic case. The negative correlations, in absolute terms, of the transverse velocity components simultaneously decrease with increasing sigma(2)(Y). This is in contrast to the first- order approximation of the spatial correlations of the velocity. It is assumed that the discrepancies between approximate solutions of the stochastic flow equation and the results of the MC analyses are strongly dependent on the nonnormality of the probability density distributions of the velocity.
KW  - J (WoSType)
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000236349200002
DO  - DOI:10.1029/2005WR004014
UR  - https://juser.fz-juelich.de/record/52903
ER  -