慢速滑坡的深度整合 SPH 框架

IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL
Manuel Pastor, Andrei Hernández, Saeid M. Tayyebi, Gustavo A. Trejos, Ginés Suárez, Junwei Zheng
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引用次数: 0

摘要

缓慢和非常缓慢的山体滑坡会对建筑物造成严重的经济损失。由于山体滑坡的传播速度较快,因此可以对受影响区域采取计划性维护或疏散等措施。建模是一项重要工具,可使科学家、工程师和地质学家更好地了解其成因并预测其传播。有许多不同复杂程度的可用模型可用于此目的,从可以在电子表格中实现的非常简单的无限滑坡模型到完全耦合的三维模型。由于研究问题的时间跨度较大(有时长达数年),这种方法成本较高。然而,由于 CFL 条件(规定时间步长必须慢于节点间距与波的物理速度之比)造成的时间步长限制,在许多情况下,时间增量仅为十分之一秒。本文将过去用于冰川演变问题的有限差分或元素技术扩展到滑坡传播的 SPH 深度积分模型。该方法基于以下假设:(i) 流体较浅;(ii) 决定传播速度的流变行为是粘塑性的;(iii) 可忽略加速度。在这种情况下,模型将从双曲线模型变为抛物线模型,其时间增量远大于传统的双曲线模型。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A depth-integrated SPH framework for slow landslides

Slow and very slow landslides can cause severe economic damage to structures. Due to their velocity of propagation, it is possible to take action such as programmed maintenance or evacuation of affected zones. Modeling is an important tool that allows scientists, engineers, and geologists to better understand their causes and predict their propagation. There are many available models of different complexities which can be used for this purpose, ranging from very simple infinite landslide models which can be implemented in spreadsheets to fully coupled 3D models. This approach is expensive because of the time span in which the problems are studied (sometimes years), simpler methods such as depth-integrated models could provide a good compromise between accuracy and cost. However, there, the time step limitation due to CFL condition (which states that the time step has to be slower than the ratio between the node spacing Δ x $\Delta x$ and the physical velocity of the waves results in time increments which are of the order of one-10th of a second on many occasions. This paper extends a technique that has been used in the past to glacier evolution problems using finite differences or elements to SPH depth-integrated models for landslide propagation. The approach is based on assuming that (i) the flow is shallow, (ii) the rheological behavior determining the velocity of propagation is viscoplastic, and (iii) accelerations can be neglected. In this case, the model changes from hyperbolic to parabolic, with a time increment much larger than that of classic hyperbolic formulations.

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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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