journal article·2026-07-30

Levee Slope Reliability Based on Cross-Correlated Random Fields

Zhenkai Pan, Kaiwen Song, Mingnan Xu, Shaohua Hu, Tingting Liu, Xinping Li

Applied Sciences· Volume 16· Issue 15
Publisher page

Abstract

Aging river levees are heterogeneous flood-defense earthworks whose reliability is affected by limited site data, interparameter dependence, and spatial variability. This study develops an integrated framework combining normal information diffusion (NID), Copula-based dependence identification, cross-correlated random fields (CCRFs), and Monte Carlo reliability analysis. Reliability was evaluated using Monte Carlo simulation based on a simplified infinite-slope benchmark model. Data were obtained from the authors’ own site investigations and laboratory tests. NID yields the lowest Kolmogorov–Smirnov statistics for all documented variables and better preserves local fluctuations and lower-strength tails than four classical marginals. Gaussian Copula is preferred for the representative bivariate cases and slightly outperforms the multivariate t Copula for Hongpaihe. For strongly dependent Beiwei data, the correlated model gives a mean factor of safety of 1.235 and a failure probability of 0.153, whereas independence gives a similar mean factor of safety of 1.238 but increases failure probability to 0.200. The weakly dependent main-dike case changes negligibly, while the φ–γ pair dominates the trivariate response. Illustrative CCRF realizations show how pointwise dependence can propagate into spatially continuous weak zones. Failure probability is therefore more diagnostic than mean factor of safety when stochastic model form is uncertain. The main novelty lies in the consistent integration and propagation of marginal, dependence, and spatial uncertainties within a unified levee reliability framework.
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Affiliations

School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan 430070, China

State Key Laboratory of Geomechanics and Geotechnical Engineering Safety, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China

School of Safety Science and Emergency Management, Wuhan University of Technology, Wuhan 430070, China

Funding

China Postdoctoral Science Foundation · Open Research Fund of the State Key Laboratory of Geomechanics and Geotechnical Engineering Safety · Fundamental Research Funds for the Central Universities · National Key Research and Development Program of China

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