STOCHASTIC ANALYSIS OF GROUNDWATER FLOW SUBJECT TO RANDOM BOUNDARY CONDITIONS

A stochastic model was developed to simulate the flow in heterogeneous media subject to random boundary conditions. Approximate partial differential equations were derived based on the Karhunen-Loeve (KL) expansion and perturbation expansion. The effect of random boundary conditions on the two-dimen...

Full description

Saved in:
Bibliographic Details
Published in:Journal of Hydrodynamics 2008-10, Vol.20 (5), p.553-560
Main Authors: SHI, Liang-sheng, YANG, Jin-zhong, CAI, Shu-ying, LIN, Lin
Format: Article
Language:English
Subjects:
Engineering
Engineering Fluid Dynamics
groundwater flow
hydraulic head
Hydrology/Water Resources
Karhunen-Loeve (KL) expansion
Numerical and Computational Physics
random boundary
Simulation
variance
地下水
水力学
边界条件
随机分析
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A stochastic model was developed to simulate the flow in heterogeneous media subject to random boundary conditions. Approximate partial differential equations were derived based on the Karhunen-Loeve (KL) expansion and perturbation expansion. The effect of random boundary conditions on the two-dimensional flow was examined. It is shown that the proposed stochastic model is efficient to include the random boundary conditions. The random boundaries lead to the increase of head variance and velocity variance. The influence of the random boundary conditions on head uncertainty is exerted over the whole simulated region, while the randomness of the boundary conditions leads to the increase of the velocity variance in the vicinity of boundaries.
ISSN:1001-6058
1878-0342
1000-4874
DOI:10.1016/S1001-6058(08)60094-3