Comprehensive multivariate joint distribution model for marine soft soil based on the vine copula

IF 5.3 1区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers and Geotechnics Pub Date : 2024-10-10 DOI:10.1016/j.compgeo.2024.106814

Xiaohua Bao , Junhong Li , Jun Shen , Xiangsheng Chen , Cong Zhang , Hongzhi Cui

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引用次数: 0

Abstract

In this study, we propose a multivariate joint distribution model for marine soft soil using D-vine copula function. The model is based on detailed investigation data from a tunnel constructed in marine soft soil. The variation patterns of the mechanical and physical parameters of quaternary marine–land interaction sedimentary soft soil layers were analysed. First, a comprehensive database of marine soft soils was established on the basis of detailed field investigation data. The variability and correlations among the physical and mechanical performance indices of the soft soil were then analysed. Subsequently, optimal marginal functions for nine soil parameters were proposed on the basis of the fitting characteristics of the physical and mechanical performance parameters of the soft soil. Finally, 15 copula functions were used to establish a multivariate joint distribution model of the D-vine copula function for marine soft soil, and the effectiveness of the model was verified. This model offers flexibility for constructing multivariate joint distributions tailored to various characteristics of the correlation structure by leveraging several bivariate correlation structures. It can provide an effective method for accurately delineating the features of the correlation structure among multivariate geotechnical parameters and establishing a probabilistic transformation model for marine soft soil parameters.

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基于藤状协约的海洋软土综合多变量联合分布模型

在本研究中，我们利用 D-vine copula 函数提出了海洋软土的多元联合分布模型。该模型基于在海洋软土中建造的隧道的详细调查数据。分析了第四纪海陆相互作用沉积软土层力学和物理参数的变化规律。首先，根据详细的实地调查数据建立了全面的海洋软土数据库。然后，分析了软土物理和力学性能指数之间的变异性和相关性。随后，根据软土物理和力学性能参数的拟合特征，提出了九个土壤参数的最佳边际函数。最后，利用 15 个协整函数建立了海洋软土 D-藤协整函数多变量联合分布模型，并验证了该模型的有效性。该模型通过利用多个二元相关结构，灵活构建了适合各种相关结构特征的多元联合分布。它为准确划分多元岩土参数之间的相关结构特征和建立海洋软土参数的概率变换模型提供了有效方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computers and Geotechnics 地学-地球科学综合

CiteScore

9.10

自引率

15.10%

发文量

438

审稿时长

45 days

期刊介绍： The use of computers is firmly established in geotechnical engineering and continues to grow rapidly in both engineering practice and academe. The development of advanced numerical techniques and constitutive modeling, in conjunction with rapid developments in computer hardware, enables problems to be tackled that were unthinkable even a few years ago. Computers and Geotechnics provides an up-to-date reference for engineers and researchers engaged in computer aided analysis and research in geotechnical engineering. The journal is intended for an expeditious dissemination of advanced computer applications across a broad range of geotechnical topics. Contributions on advances in numerical algorithms, computer implementation of new constitutive models and probabilistic methods are especially encouraged.