Efficient Random Field Generation With Rotational Anisotropy for Probabilistic SPH Analysis of Slope Failure

IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL International Journal for Numerical and Analytical Methods in Geomechanics Pub Date : 2024-10-07 DOI:10.1002/nag.3858
Zhonghui Bi, Wei Wu, Liaojun Zhang, Chong Peng
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Abstract

Due to geological processes such as sedimentation, tectonic movement, and backfilling, natural soil often exhibits characteristics of rotated anisotropy. Recent studies have shown the significant impact of rotated anisotropy on slope stability. However, little research has explored how this rotated anisotropy affects the large deformations occurring after slope failure. Therefore, this study integrates rotated random field theory with smoothed particle hydrodynamics (SPH) to investigate its influence on post‐failure slope behavior. Focusing on a typical slope scenario, this research utilizes graphics processing unit (GPU)–accelerated covariance matrix decomposition (CMD) method to create rotated anisotropy random fields and applies the SPH framework for analysis. It examines the influence of rotated anisotropy angles and the cross‐correlation between cohesion and internal friction angle on landslides. The results indicate that the rotational anisotropy of the slope significantly influences post‐failure behavior. When the rotation angle is close to the slope surface, it tends to amplify both the magnitude and variability of slope failure. Furthermore, the study evaluates the efficiency of generating these random fields and emphasizes the substantial computational speed improvements achieved with GPU acceleration. These findings offer a robust approach for probabilistic analysis of slope large deformations considering rotated anisotropy. They provide a theoretical foundation for accurately assessing the risk of slope collapse, holding significant practical implications for geotechnical engineering.
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利用旋转各向异性生成高效随机场,用于斜坡崩塌的概率 SPH 分析
由于沉积、构造运动和回填等地质过程,天然土壤通常表现出旋转各向异性的特征。最近的研究表明,旋转各向异性对斜坡稳定性有重大影响。然而,很少有研究探讨这种旋转各向异性如何影响斜坡破坏后发生的大变形。因此,本研究将旋转随机场理论与平滑粒子流体力学(SPH)相结合,研究其对边坡破坏后行为的影响。本研究以典型的边坡情景为重点,利用图形处理器(GPU)加速协方差矩阵分解(CMD)方法创建旋转各向异性随机场,并应用 SPH 框架进行分析。它研究了旋转各向异性角以及内聚力和内摩擦角之间的交叉相关性对滑坡的影响。结果表明,斜坡的旋转各向异性对崩塌后的行为有很大影响。当旋转角接近斜坡表面时,往往会放大斜坡崩塌的幅度和变异性。此外,研究还评估了生成这些随机场的效率,并强调了 GPU 加速所带来的计算速度的大幅提升。这些发现为考虑旋转各向异性的边坡大变形概率分析提供了一种稳健的方法。它们为准确评估边坡坍塌风险提供了理论基础,对岩土工程具有重要的实际意义。
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来源期刊
CiteScore
6.40
自引率
12.50%
发文量
160
审稿时长
9 months
期刊介绍: The journal welcomes manuscripts that substantially contribute to the understanding of the complex mechanical behaviour of geomaterials (soils, rocks, concrete, ice, snow, and powders), through innovative experimental techniques, and/or through the development of novel numerical or hybrid experimental/numerical modelling concepts in geomechanics. Topics of interest include instabilities and localization, interface and surface phenomena, fracture and failure, multi-physics and other time-dependent phenomena, micromechanics and multi-scale methods, and inverse analysis and stochastic methods. Papers related to energy and environmental issues are particularly welcome. The illustration of the proposed methods and techniques to engineering problems is encouraged. However, manuscripts dealing with applications of existing methods, or proposing incremental improvements to existing methods – in particular marginal extensions of existing analytical solutions or numerical methods – will not be considered for review.
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