Spatial distribution estimation by considering the cross-correlation between components with indirect data using Gaussian process regression

IF 3.3 2区工程技术 Q2 ENGINEERING, GEOLOGICAL

Soils and Foundations Pub Date : 2025-04-22 DOI:10.1016/j.sandf.2025.101624

Yuto Tsuda , Ikumasa Yoshida , Shinichi Nishimura

引用次数: 0

Abstract

Generally, soil properties are measured only at limited locations. To rationally estimate the spatial distribution of soil properties, it is preferable to effectively use all available measurement data, including indirect data. We propose a Gaussian process regression with multiple random fields that considers the cross-correlation between one of the random fields of direct data and indirect data, and show the application to simulated data and actual measured data. In the application, the direct data are of CPT tip resistance (qc), which was obtained within a narrow area, and the indirect data are of shear wave velocity (Vs) obtained by surface wave exploration, which were obtained over a wide area. We estimate the spatial distribution of qc from the limited qc and wide area Vs data. The estimation accuracy of the proposed method is evaluated by cross-validation, and its effectiveness is discussed.

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利用高斯过程回归法，通过考虑间接数据各组成部分之间的交叉相关性进行空间分布估计

一般来说，土壤性质只在有限的地点测量。为了合理估计土壤性质的空间分布，最好有效地利用所有可获得的测量数据，包括间接数据。我们提出了一种考虑直接数据和间接数据的一个随机场之间相互关系的多随机场高斯过程回归，并展示了它在模拟数据和实际测量数据中的应用。在应用中，直接数据是在狭窄区域内获得的CPT尖端阻力（qc），间接数据是在广泛区域内获得的面波勘探获得的横波速度（Vs）。我们从有限的qc和广域的v数据中估计qc的空间分布。通过交叉验证对该方法的估计精度进行了评价，并对其有效性进行了讨论。

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

Soils and Foundations 工程技术-地球科学综合

CiteScore

6.40

自引率

8.10%

发文量

审稿时长

5 months

期刊介绍： Soils and Foundations is one of the leading journals in the field of soil mechanics and geotechnical engineering. It is the official journal of the Japanese Geotechnical Society (JGS)., The journal publishes a variety of original research paper, technical reports, technical notes, as well as the state-of-the-art reports upon invitation by the Editor, in the fields of soil and rock mechanics, geotechnical engineering, and environmental geotechnics. Since the publication of Volume 1, No.1 issue in June 1960, Soils and Foundations will celebrate the 60th anniversary in the year of 2020. Soils and Foundations welcomes theoretical as well as practical work associated with the aforementioned field(s). Case studies that describe the original and interdisciplinary work applicable to geotechnical engineering are particularly encouraged. Discussions to each of the published articles are also welcomed in order to provide an avenue in which opinions of peers may be fed back or exchanged. In providing latest expertise on a specific topic, one issue out of six per year on average was allocated to include selected papers from the International Symposia which were held in Japan as well as overseas.