岩土力学 ›› 2025, Vol. 46 ›› Issue (S1): 531-540.doi: 10.16285/j.rsm.2024.1003CSTR: 32223.14.j.rsm.2024.1003

• 数值分析 • 上一篇    下一篇

基于分布式温度测试和重建的浅表土体含水率反演

王勇1,顾凯1, 2,张博1, 3,姜霖1,施斌1   

  1. 1. 南京大学 地球科学与工程学院,江苏 南京 210023;2. 南京大学 (苏州)高新技术研究院,江苏 苏州 215123; 3. 河海大学 地球科学与工程学院,江苏 南京 211100
  • 收稿日期:2024-08-14 接受日期:2025-02-05 出版日期:2025-08-08 发布日期:2025-09-01
  • 通讯作者: 顾凯,男,1987年生,博士,教授,主要从事环境工程地质研究。E-mail: gukai@nju.edu.cn
  • 作者简介:王勇,男,1999年生,硕士研究生,主要从事土体含水率光纤监测研究。E-mail: 522023290023@smail.nju.edu.cn
  • 基金资助:
    国家自然科学基金面上项目(No.42277124);江苏省基础研究计划自然科学基金面上项目(No.BK20231216);江苏省“333”工程青年人才项目;国家重点研发计划课题子课题(No.2019YFC1509901)。

Inversion of shallow soil moisture based on distributed temperature measurement and reconstruction

WANG Yong1, GU Kai1, 2, ZHANG Bo1, 3, JIANG Lin1, SHI Bin1   

  1. 1. School of Earth Sciences and Engineering, Nanjing University, Nanjing, Jiangsu 210023, China; 2. High-Tech Institute Nanjing University, Suzhou, Jiangsu 215123, China; 3. School of Earth Sciences and Engineering, Hohai University, Nanjing, Jiangsu 211100, China
  • Received:2024-08-14 Accepted:2025-02-05 Online:2025-08-08 Published:2025-09-01
  • Supported by:
    This work was supported by the General Program of National Natural Science Foundation of China General Program (42277124), the General Program of Jiangsu Provincial Basic Research Program Natural Science Foundation (BK20231216), Jiangsu Province “333” Project for Young Talents and Sub-project of the National Key Research and Development Program (2019YFC1509901).

摘要: 准确掌握浅层土体含水率及其变化过程对于岩土工程、环境工程地质等多个领域具有重要意义。利用自然温度信息反演含水率是一种适用于长距离、大范围含水率监测的新方法。针对常规自然温度信息法中土体温度测试及重建精细程度低导致含水率估算精度低等问题,以分布式光纤测温(fiber optic distributed temperature sensing,简称FO-DTS)技术为基础,引入显式有限差分算法和马尔科夫链蒙特卡洛(Markov chain Monte Carlo,简称MCMC)算法,提出了浅表土体温度重建及含水率反演的新方法,并开展了原位试坑试验验证。结果表明:(1)基于FO-DTS的高时空分辨率温度,显式有限差分算法可以有效重建土体不同深度的温度分布,重建温度场拟合残差约为0.2 ℃。(2)MCMC反演优化算法能准确估算土体热扩散系数,由此土体含水率的估算误差仅为7%;(3)浅表土体含水率估算结果能够很好地反映天气变化导致的土体水分迁移变化。新方法实现了土体含水率的精细化估算,适用场景广泛。

关键词: 分布式光纤测温, 显式有限差分, 马尔科夫链蒙特卡洛, 含水率

Abstract: Accurately grasping the moisture content of shallow soil and its variation process holds significant importance in multiple fields, including geotechnical engineering and environmental engineering geology. Utilizing natural temperature information to estimate soil moisture represents a novel approach suitable for long-distance and large-scale monitoring. To address the issues of low accuracy in soil moisture estimation resulting from the limited resolution of soil temperature measurement and reconstruction in conventional methods, this study proposes a new approach based on distributed fiber-optic temperature sensing (FO-DTS) technology. By integrating an explicit finite difference algorithm and the Markov chain Monte Carlo (MCMC) method, a novel method for shallow soil temperature reconstruction and moisture inversion is proposed and validated through in-situ pit tests. The results indicate that: (1) The high spatial and temporal resolution temperatures obtained through FO-DTS allow the explicit finite difference algorithm to effectively reconstruct temperature distributions at various soil depths, with a temperature reconstruction residual error of approximately 0.2 ℃. (2) The MCMC inversion optimization algorithm accurately estimates the soil thermal diffusivity, leading to an estimation error of only 7% in soil moisture. (3) The estimated shallow soil moisture effectively reflects water migration changes induced by weather variations. This new method achieves high-precision soil moisture estimation and demonstrates broad applicability.

Key words: fiber optic distributed temperature sensing, explicit finite difference, Markov chain Monte Carlo, moisture

中图分类号: TU411
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