基于因果发现与多任务稀疏学习框架的高温岩石强度预测研究

    Research on high-temperature rock strength prediction based on causal discovery and multi-task sparse learning framework

    • 摘要: 深部资源开发与地下工程向地球深部延伸,使高温环境下岩石力学性能的精准预测成为保障工程安全的关键。岩石在高温下的强度、模量及破坏模式呈现高度非线性演化特征,传统理论模型难以全面描述这一过程,而现有数据驱动方法多基于统计相关性建模,普遍存在“重相关、轻因果”的局限,导致模型可解释性弱、泛化能力不足,难以满足深部工程对预测精度的实际需求。基于此,提出一种融合因果发现、多任务稀疏学习与反事实解释的智能分析框架。首先,通过物理信息增强的因果图学习,结合岩石热力学先验知识,从数据中筛选与强度具有因果关联的关键特征,剔除无关变量干扰;在此基础上,构建多任务稀疏学习网络,实现岩石强度、弹性模量与破坏模式的协同预测,利用参数共享机制挖掘力学参数间的内在耦合关系,并通过稀疏约束聚焦于核心因果特征;最后,引入反事实推理模块,量化各变量的因果效应及其作用路径,使模型具备透明的决策逻辑。结果表明:框架在测试集上的强度预测决定系数(R2)达0.935,平均绝对误差(MAE)仅为6.2 MPa,显著优于传统机器学习与因果推理模型(R2为0.721~0.893,MAE为8.7~18.6 MPa)。在分布外干预实验中,模型展现出强稳健性,且反事实推理揭示的因果路径与岩石热力学机理高度吻合。研究成果为深部高温岩体工程提供了一种兼具高精度、强泛化与机理透明度的分析工具。

       

      Abstract: With the development of deep resources and the extension of underground engineering to the deep Earth, the accurate prediction of rock mechanical properties under high temperature has become the key to ensuring engineering safety. The strength, modulus and failure mode of rocks under high temperature exhibit highly nonlinear evolution characteristics, which are difficult to be fully described by traditional theoretical models. Existing data-driven methods are mostly modeled based on statistical correlation, with the common limitation of “emphasizing correlation over causality”, resulting in weak interpretability and insufficient generalization ability, which can hardly meet the practical requirements of prediction accuracy for deep engineering. On this basis, an intelligent analysis framework integrating causal discovery, multi-task sparse learning and counterfactual explanation is proposed. Firstly, through physics-informed causal graph learning combined with prior knowledge of rock thermodynamics, key features causally related to strength are screened from data to eliminate interference from irrelevant variables. On this basis, a multi-task sparse learning network is constructed to realize the collaborative prediction of rock strength, elastic modulus and failure mode. The parameter sharing mechanism is used to mine the inherent coupling relationship among mechanical parameters, and sparse constraints are adopted to focus on core causal features. Finally, a counterfactual reasoning module is introduced to quantify the causal effects of variables and their action paths, enabling the model to have transparent decision logic. The results show that the coefficient of determination (R2) of strength prediction on the test set reaches 0.935 with the mean absolute error (MAE) of only 6.2 MPa, which is significantly better than traditional machine learning and causal inference models (R2 = 0.721-0.893, MAE = 8.7-18.6 MPa). In out-of-distribution intervention experiments, the model shows strong robustness, and the causal paths revealed by counterfactual reasoning are highly consistent with rock thermodynamic mechanisms. This study results provide an analytical tool with high accuracy, strong generalization and mechanism transparency for deep high-temperature rock engineering.

       

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