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This study uses laboratory experiments to investigate scale dependent hydraulic conductivity of fully developed turbulent flow in a single fracture under different fracture surface roughness, fracture apertures, and hydraulic gradients. The hydraulic conductivity for fully developed turbulent flow is defined as K=V 2 /J, where V and J are absolute values of the flow velocity and the hydraulic...
Application of the ergodicity hypothesis to the stochastic subsurface hydrology has been checked by investigating the hydraulic conductivity field. The relative variance of the spatial average of conductivity, which is denoted as R, and the error index E.I. = $$\sqrt R $$ , were employed to justify the uncertainties and errors of using the ergodicity hypothesis. Six factors influence R: autocorrelation...
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