非星形间接边界元法和多策略粒子群优化算法应用于三维地下空腔反演

IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL International Journal for Numerical and Analytical Methods in Geomechanics Pub Date : 2024-11-05 DOI:10.1002/nag.3879
Zhongxian Liu, Shuo Zhu, Alexander H. D. Cheng, Zhenen Huang
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引用次数: 0

摘要

地下地质结构反演是深入了解地球内部组成的重要方法。在本文中,我们提出了一种新颖的反演方法,将非成组间接边界元法(IBEM)与多策略粒子群优化算法(MSPSO)相结合,专门用于精确反演三维地下空洞。利用 IBEM 的半解析性质,可实现降维、自动满足无穷远辐射条件和高计算精度等优势。此外,为了增强全局优化和局部搜索能力,还引入了 MSPSO 算法。采用多种优化策略可增强粒子多样性,加速算法收敛,并降低局部最优的风险。通过考虑具有不同参数的地下空洞,该方法可在较大的搜索范围内快速确定空洞的大致位置。最终结果表明,所提出的方法可以同时准确地反演空洞的三维空间位置、大小和方向。
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Nonsingular Indirect Boundary Element Method and Multistrategy Particle Swarm Optimization Algorithm Applied to 3D Subsurface Cavity Inversion
The inversion of subsurface geological structures is a crucial approach for gaining insights into the internal composition of the earth. In this paper, we propose a novel inversion method combining the nonsingular indirect boundary element method (IBEM) with the multistrategy particle swarm optimization (MSPSO) algorithm, tailored for accurately inverting 3D subsurface cavities. Leveraging the semi‐analytical nature of IBEM offers advantages such as dimensionality reduction, automatic fulfillment of radiation conditions at infinity, and high computational accuracy. Furthermore, to augment global optimization and local search capabilities, an MSPSO algorithm is introduced. Employing multiple optimization strategies enhances particle diversity, accelerates algorithm convergence, and mitigates the risk of local optima. Through the consideration of subsurface cavities with varying parameters, this method quickly identifies the approximate location of the cavity within a wide search range. The final results demonstrate that the proposed method can simultaneously and accurately invert the 3D spatial position, size, and orientation of the cavity.
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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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