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Detailed Reference Information |
Hsu, K. and Neuman, S.P. (1997). Second-order expressions for velocity moments in two- and three-dimensional statistically anisotropic media. Water Resources Research 33: doi: 10.1029/97WR00045. issn: 0043-1397. |
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Second-order expressions are derived for the mean and covariance of steady state seepage velocity under mean uniform flows in infinite two- and three-dimensional domains. The order of approximation is defined in terms of the variance &sgr;2 of a statistically homogeneous and anisotropic natural log hydraulic conductivity field Y with a Gaussian spatial autocorrelation function. Results show that second-order mean velocity either exceeds or is close to its first-order counterpart, depending on anisotropy. Head fluctuations of order larger than &sgr; affect second-order velocity moments to the same extent as do head fluctuations of order &sgr; in virtually all cases, hence neglecting the former renders the results nonasymptotic. Velocity variances are generally larger when approximated consistently to second than to first order. The ratio between second- and first-order variance approximations is larger in three than in two dimensions, larger for transverse than for longitudinal velocity, and increases with &sgr;2. Anisotropy has a significant effect on second-order velocity variance. Second-order effects have the greatest influence on longitudinal velocity variance at extreme anisotropy ratios and on transverse velocity variance in isotropic domains.¿ 1997 American Geophysical Union |
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Abstract |
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Keywords
Hydrology, Stochastic processes, Hydrology, Groundwater hydrology, Hydrology, Groundwater transport |
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Publisher
American Geophysical Union 2000 Florida Avenue N.W. Washington, D.C. 20009-1277 USA 1-202-462-6900 1-202-328-0566 service@agu.org |
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