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Prediction of Mineral Content and Petrophysical Parameters in Lacustrine Fine-Grained Mixed Sedimentary Rocks Based on a Physics-Informed Hybrid Deep Learning Framework


Yiming Zhu, Yukun Liu*, Shuya Chen, Yulin Du , Xiang Cheng, Xiaolong Wang

 Key Laboratory of Exploration Technologies for Oil and Gas Resources (Yangtze University), Ministry of Education, Wuhan 430100, China.
Correspondence: Yukun Liu, Email: yukunliu@yangtzeu.edu.cn
  
AESIG, 2026, 2(2), 51-64; https://doi.org/10.58244/aesig.263907
Received : 16 May 2026 / Accepted : 12 Jun 2026 /
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Abstract
To address the challenges of severe logging response overlap and quantitative mineral prediction caused by the strong heterogeneity of lacustrine carbonate reservoirs, this study proposes a hybrid framework integrating a physics-informed Gradient Boosting Decision Tree (LightGBM) and a Temporal Convolutional Network (PINN-TCN). The framework employs a sliding-window TCN to capture the deep contextual information of logging sequences, and introduces a truncation strategy along with a physics-constrained loss function in the prediction phase to force the network outputs to comply with the laws of mineral volume closure and density conservation. Coupled with a cosine annealing dynamic weight scheduling strategy, the model achieves a smooth transition from physics-constrained to data-driven optimization, establishing a closed-loop optimization system. Validation using 14,104 data records from the Qianjiang Depression in the Jianghan Oilfield demonstrates that the framework achieves excellent prediction accuracy across three major mineral components, yielding a closure root-mean-square error (RMSE) of only 0.0124, with 99.7% of the predicted values falling within a 5% deviation. Furthermore, by adaptively learning mineral density parameters, the RMSE of solid density prediction is reduced by 73.3%. SHAP (Shapley Additive exPlanations) attribution analysis further confirms that the physical constraints induce a synergistic adjustment of feature contributions within the decision space. This study provides a novel approach for the quantitative evaluation of minerals in complex lithofacies reservoirs, balancing both physical consistency and interpretability.
Keywords: Lacustrine carbonate;Mineral content prediction;Physics-informed constraints; Temporal Convolutional Network (TCN);Well logging interpretation;Model interpretability

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Funding

This work was supported by the Natural Science Foundation of Hubei Province, China (Grant No. 2024AFB271).

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