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Stochastic analysis of head spatial variability in bounded rectangular heterogeneous aquifers
Author(s) -
Osnes Harald
Publication year - 1995
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/95wr01956
Subject(s) - aquifer , covariance , monte carlo method , head (geology) , bounded function , mathematics , hydraulic head , groundwater flow , covariance function , groundwater , mathematical analysis , geology , statistics , geotechnical engineering , geomorphology
Groundwater flow through bounded rectangular aquifers is analyzed in a stochastic framework. New analytical expressions of the head covariance (and variance) and the log transmissivity head cross covariance are derived for the simplified first‐order problem. Effects of different boundary conditions, the aquifer size, and the log transmissivity correlation scale upon head moments are studied. The results are compared to analytical half‐plane solutions, demonstrating significant differences in several cases. Finally, the problem is solved numerically using the Monte Carlo simulation method. The realizations of the log transmissivity field are generated in two different ways. Through comparisons with the analytical results the accuracy of the numerical methods is shown to be excellent.