UNCERTAINTY OF ONE-DIMENSIONAL GROUND-WATER FLOW IN STRONGLY HETEROGENEOUS FORMATIONS Academic Article

abstract

• The writers have formulated quasi-analytical nonlinear solutions to investigate the uncertainty of one-dimensional ground-water flow in heterogeneous formations in which the standard deviation of the log hydraulic conductivity (ln(K)) > 1. The writers have studied three cases for fixed boundary conditions: a semibounded domain, a free domain, and a both-side-bounded domain. The writers have also studied the random boundary conditions for the bounded domain. The writers have obtained variances and covariances of head for semibounded and free domains, and have calculated variances of head for the both-side-bounded domain. Monte Carlo simulations are generated to obtain the head variances and are used to verify the quasi-analytical solutions. The ergodicity assumption is proven to be rigorously correct in a semibounded or a free domain but not correct in a both-side-bounded domain by using a linear autocorrelation function.

authors

• Zhan, Hongbin

published proceedings

• JOURNAL OF HYDROLOGIC ENGINEERING

author list (cited authors)

• Zhan, H., & Wheatcraft, S. W.

citation count

• 5

complete list of authors

• Zhan, Hongbin||Wheatcraft, Stephen W

publication date

• April 1999

publisher

• American Society of Civil Engineers (ASCE)  Publisher

published in

• Journal of Hydrologic Engineering - ASCE  Journal

keywords

• 37 Earth Sciences
• 3707 Hydrology

Digital Object Identifier (DOI)

• 10.1061/(ASCE)1084-0699(1999)4:2(152)

start page

• 152

end page

• 159

volume

• 4

issue

• 2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1061%2F%28asce%291084-0699%281999%294%3A2%28152%29