Groundwater Responses of Foundation Subjected to Water Level Fluctuation of Reservoir Considering Variability of Layered Structure
2023
Ruixuan Tang | Tao Wen | Zhenyan Bao | Yankun Wang | Mingyi Hu
The effect of the variability in a layered structure, characterized by the spatial variability of the saturated hydraulic conductivity, on the distribution of a pressure head p in a foundation subjected to water level fluctuation in a reservoir is investigated with the aid of the random field theory, Karhunen&ndash:Loè:ve (K-L) expansion, first-order moment approach, and cross-correlation analysis. The results show that the variability in the foundation structure has significant impacts on the groundwater response to the reservoir&rsquo:s water level fluctuations. Regions with relatively large uncertainties of the p and &sigma:p values in the foundation are those around the initial water level at the reservoir side, and those at the distal end away from the reservoir. In addition, there is a larger variance of Ks, denoted as &sigma:lnKs2, a larger correlation scale in the horizontal direction &lambda:h, a larger correlation scale in the vertical direction &lambda:v, and a larger one-way time consumption of fluctuations T to a larger uncertainty in p. Moreover, the four factors (&sigma:lnKs2, &lambda:h, &lambda:v, and T) all have positive correlations with &sigma:p. &sigma:lnKs2 has the largest impact on &sigma:p in the foundation, &lambda:v has the second largest impact, and &lambda:h has the smallest impact. A foundation with small Ks values around the initial water level at the reservoir side and large Ks values around the highest water level at the reservoir side may produce larger p values in the foundation. These results yield useful insight into the effect of the variability in a layered structure on the distribution of the pressure head in a foundation subjected to water level fluctuation in a reservoir.
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