arXiv:2502.05198physics.geo-phcs.LG2025-02被引 2

用机器学习预测黏土-硫酸盐岩的膨胀行为,提升地质工程风险评估精度。

A finite element-based machine learning model for hydro-mechanical analysis of swelling behavior in clay-sulfate rocks

  • 结合有限元模拟与CatBoost算法,构建可约束物理规律的混合模型。
  • 模型在德国施陶芬地区实测数据上准确复现了地表抬升过程。
  • 适合从事地质灾害预测与智能岩土工程的科研人员使用。

黏土-硫酸盐岩的水力-力学行为,尤其是其膨胀特性,在岩土工程中面临重大挑战。本研究提出一种基于类别提升算法(CatBoost)并经贝叶斯优化调参的混合约束机器学习模型,用于预测和分析这类复杂地质材料的膨胀行为。首先,采用基于Richards方程与线性运动学耦合的有限元模型(OpenGeoSys框架),模拟德国施陶芬地区三叠纪格拉夫尔德含盐层因入水引发的地表抬升现象。通过高斯分布对杨氏模量、泊松比、最大膨胀压力、渗透率和气相进入压力等关键参数进行系统性敏感性分析,构建合成数据库。机器学习模型以时间、空间坐标及参数值为输入,输出水饱和度、孔隙率和垂直位移。同时,在目标函数中引入惩罚项,确保预测结果符合物理规律。结果表明,该混合方法能有效捕捉水力-力学过程中的非线性动态相互作用。研究表明,该模型具备准确预测黏土-硫酸盐岩膨胀行为的能力,为受影响区域的风险评估与管理提供可靠工具,展示了机器学习驱动模型在复杂岩土问题中的潜力。

原文摘要 · Abstract (English)

The hydro-mechanical behavior of clay-sulfate rocks, especially their swelling properties, poses significant challenges in geotechnical engineering. This study presents a hybrid constrained machine learning (ML) model developed using the categorical boosting algorithm (CatBoost) tuned with a Bayesian optimization algorithm to predict and analyze the swelling behavior of these complex geological materials. Initially, a coupled hydro-mechanical model based on the Richards' equation coupled to a deformation process with linear kinematics implemented within the finite element framework OpenGeoSys was used to simulate the observed ground heave in Staufen, Germany, caused by water inflow into the clay-sulfate bearing Triassic Grabfeld Formation. A systematic parametric analysis using Gaussian distributions of key parameters, including Young's modulus, Poisson's ratio, maximum swelling pressure, permeability, and air entry pressure, was performed to construct a synthetic database. The ML model takes time, spatial coordinates, and these parameter values as inputs, while water saturation, porosity, and vertical displacement are outputs. In addition, penalty terms were incorporated into the CatBoost objective function to enforce physically meaningful predictions. Results show that the hybrid approach effectively captures the nonlinear and dynamic interactions that govern hydro-mechanical processes. The study demonstrates the ability of the model to predict the swelling behavior of clay-sulfate rocks, providing a robust tool for risk assessment and management in affected regions. The results highlight the potential of ML-driven models to address complex geotechnical challenges.

机器学习岩土工程水力-力学膨胀预测

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