(1. 中国矿业大学(北京) 力学与土木工程学院,北京 100083;2. Research Institute, ESTP-Grande École d’Ingénieurs de la Construction, Cachan 94234, France;3. 中国矿业大学(北京) 采矿岩石力学国际创新中心,北京 100083)
Prediction of elastic modulus in heterogeneous rocks through fusion of multi-source images and artificial intelligence
(1. School of Mechanics and Civil Engineering, China University of Mining and Technology(Beijing), Beijing 100083, China;2. Research Institute, ESTP-Grande École d’Ingénieurs de la Construction, Cachan 94234, France;3. International Innovation Center for Mining Rock Mechanic, China University of Mining and Technology(Beijing), Beijing 100083, China)
Accurate measurement of the elastic modulus of rock is a key component in geotechnical engineering construction design and stability evaluation. However, in deep high-stress environments and brittle formations with well-developed weak structures, obtaining intact and standardized rock samples for direct measurement of elastic modulus is often challenging. This study proposes a method for predicting elastic modulus by leveraging artificial intelligence to build a bridge between microstructural characteristics and elastic modulus, requiring only microstructure images as input to efficiently infer the modulus. The implementation process consists of two stages: first, an improved DeepLabv3+ model is employed to perform semantic segmentation experiments on a multi-source image dataset, generating microstructural characterization images; second, a RockNet-E model is constructed to establish a mapping relationship between the characterization images and the elastic modulus, enabling accurate prediction. Research results show that the improved DeepLabv3+ model achieves mean intersection over union (IoU) of 87.7%, 97.5% and 87.9% for quartz, feldspar, and mica, respectively, outperforming mainstream models such as DeepLabv3+, PSPNet, and UNet. On the validation set, the RockNet-E model achieves mean absolute error (MAE), root mean square error (RMSE), mean absolute percentage error (MAPE) and R-squared (R2) values of 1.20 GPa, 1.51 GPa, 1.83% and 0.61, respectively. The elastic modulus prediction errors are all below 5%, and the predicted value distribution matches the experimental results. This study provides a low-cost and highly efficient approach for intelligent, image-driven prediction of rock mechanical parameters.
[1] 谢和平,张 茹,张泽天,等. 深地科学与深地工程技术探索与思考[J]. 煤炭学报,2023,48(11):3 959–3 978.(XIE Heping,ZHANG Ru,ZHANG Zetian,et al. Reflections and explorations on deep earth science and deep earth engineering technology[J]. Journal of China Coal Society,2023,48(11):3 959–3 978.(in Chinese))
[2] 谢和平. “深部岩体力学与开采理论”研究构想与预期成果展望[J]. 工程科学与技术,2017,49(2):1–16.(XIE Heping. Framework and anticipated results of deep rock mechanics and mining theory[J]. Advanced Engineering Science,2017,49(2):1–16. (in Chinese))
[3] 田文岭,杨圣奇,黄彦华,等. 花岗岩高温高压损伤破裂细观机制模拟研究[J]. 岩石力学与工程学报,2022,41(9):1 810–1 819. (TIAN Wenling,YANG Shengqi,HUANG Yanhua,et al. Meso-fracture mechanism of granite specimens under high temperature and confining pressure by numerical simulation[J]. Chinese Journal of Rock Mechanics and Engineering,2022,41(9):1 810–1 819.(in Chinese))
[4] LIU Z D,LI D Y,LIU Y P,et al. Prediction of uniaxial compressive strength of rock based on lithology using stacking models[J]. Rock Mechanics Bulletin,2023,2(4):100081.
[5] MOMENI E,ARMAGHANI D J,HAJIHASSANI M,et al. Prediction of uniaxial compressive strength of rock samples using hybrid particle swarm optimization-based artificial neural networks[J]. Measurement,60:50–63.
[6] GUERY A C,CORMERY F,SHAO J F,et al. Application of a micromechanical model to cavity excavation analysis in argillite[J]. International Journal of Rock Mechanics and Mining Sciences,2009,46(5):905–917.
[7] 时 贤,蒋 恕,卢双舫,等. 利用纳米压痕实验研究层理性页岩岩石力学性质—以渝东南酉阳地区下志留统龙马溪组为例[J]. 石油勘探与开发,2019,46(1):155–164.(SHI Xian,JIANG Shu,LU Shuangfang,et al. Investigation of mechanical properties of bedded shale by nanoindentation tests:A case-study on Lower Silurian Longmaxi Formation of Youyang area in southeast Chongqing,China[J]. Petroleum Exploration and Development,2019,46(1):155–164.(in Chinese))
[8] 张 帆,郭翰群,赵建建,等. 花岗岩微观力学性质试验研究[J]. 岩石力学与工程学报,2017,36(增2):3 864–3 872.(ZHANG Fan,GUO Hanqun,ZHAO Jianjian,et al. Experimental study of micro–mechanical properties of granite[J]. Chinese Journal of Rock Mechanics and Engineering,2017,36(Supp.2):3 864–3 872.(in Chinese))
[9] 徐鼎平,柳秀洋,徐怀胜,等. 深埋花岗岩细观力学特性纳米压痕试验及参数均质化研究[J]. 中南大学学报:自然科学版,2021,52(8):2 761–2 771.(XU Dingping,LIU Xiuyang,XU Huaisheng,et al. Meso-mechanical properties of deep granite using nanoindentation test and homogenization approach[J]. Journal of Central South University:Science and Technology,2021,52(8):2 761–2 771.(in Chinese))
[10] YUE Z Q,CHEN S,THAM L G. Finite element modeling of geomaterials using digital image processing[J]. Computers and Geotechnics,30(5):375–397.
[11] 段永婷,冯夏庭,李 晓. 页岩细观矿物条带对其宏观破坏模式的影响研究[J]. 岩石力学与工程学报,2021,40(1):43–52.(DUAN Yongting,FENG Xiating,LI Xiao. Study on the influence of meso-mineral bands on macroscopic failure modes of shale[J]. Chinese Journal of Rock Mechanics and Engineering,2021,40(1):43–52.(in Chinese))
[12] QIN X R,ZHANG H M,XU R P,et al. Experimental investigation on the failure mechanism of grouted rock mass: Mesostructure and macroscopic mechanical behavior[J]. Engineering Failure Analysis,2024,161:108304.
[13] ZUO J P,WANG J T,SUN Y J,et al. Effects of thermal treatment on fracture characteristics of granite from Beishan, a possible high-level radioactive waste disposal site in China[J]. Engineering Fracture Mechanics,2017,182:425–437.
[14] LI C X,LIU Y S,LI L S,et al. Texture-based segmentation of SEM images of shale rocks and estimation of meso-scale elastic modulus by 2D FEM[J]. Rock Mechanics and Rock Engineering,2025,58:6 475–6 491.
[15] 李明耀,彭 磊,左建平,等. 基于 DIP-FFT 数值方法的花岗岩多尺度力学特性研究[J]. 岩石力学与工程学报,2022,41(11):2 254–2 267.(LI Mingyao,PENG Lei,ZUO Jianping,et al. Study on multi-scale mechanical properties of granite based on DIP-FFT numerical method[J]. Chinese Journal of Rock Mechanics and Engineering,2022,41(11):2 254–2 267.(in Chinese))
[16] WANG F,KONIETZKY H,HERBST M,et al. Mechanical responses of grain-based models considering different crystallographic spatial distributions to simulate heterogeneous rocks under loading[J]. International Journal of Rock Mechanics and Mining Sciences,2022,151:105036.
[17] 周 中,张俊杰,龚琛杰,等. 基于深度语义分割的隧道渗漏水智能识别[J]. 岩石力学与工程学报,2022,41(10):2 082–2 093.(ZHOU Zhong,ZHANG Junjie,GONG Chenjie,et al. Automatic identification of tunnel leakage based on deep semantic segmentation[J]. Chinese Journal of Rock Mechanics and Engineering,2022,41(10):2 082–2 093.(in Chinese))
[18] ZHANG P,TANG K K,CHEN G G,et al. Multimodal data fusion enhanced deep learning prediction of crack path segmentation in CFRP composites[J]. Composites Science and Technology,2024,257:110812.
[19] LI X,LIU Z L,CUI S Q,et al. Predicting the effective mechanical property of heterogeneous materials by image based modeling and deep learning[J]. Computer Methods in Applied Mechanics and Engineering,2019,347:735–53.
[20] WU Z J,WU Y,WENG L,et al. Machine learning approach to predicting the macro-mechanical properties of rock from the meso-mechanical parameters[J]. Computers and Geotechnics,2024,166:105933.
[21] 张 帆,胡 维,郭翰群,等. 热处理后花岗岩纳米压痕试验研究[J]. 岩土力学,2018,39(增1):235–243.(ZHANG Fan,HU Wei,GUO Hanqun,et al. Nanoindentation tests on granite after heat treatment[J]. Rock and Soil Mechanics,2018,39(Supp.1):235–243.(in Chinese))
[22] 杨振琦,王述红,孟嫣然,等. 基于 CT 扫描的花岗岩三维数值试件重构模型及应用[J]. 固体力学学报,2017,38(6):591–600. (YANG Zhenqi,WANG Shuhong,MENG Yanran,et al. The 3D numerical specimen of granite based on CT technology and application[J]. Chinese Journal of Solid Mechanics,2017,38(6):591–600.(in Chinese))
[23] 毛伟泽,吕 庆,郑 俊,等. 基于CT图像的花岗岩矿物组分与细观结构分析[J]. 工程地质学报,2022,30(1):216–222.(MAO Weize,LV Qing,ZHENG Jun,et al. Analysis of mineral composition and meso-structure of granite using CT images[J]. Journal of Engineering Geology,2022,30(1):216–222.(in Chinese))
[24] 李 博,梁秦源,周 宇,等. 基于CT-GBM重构法的花岗岩裂纹扩展规律研究[J]. 岩石力学与工程学报,2022,41(6):1 114–1 125 (LI Bo,LIANG Qinyuan,ZHOU Yu,et al. Research on crack propagation law of granite based on CT-GBM reconstruction method [J]. Chinese Journal of Solid Mechanics,2022,41(6):1 114–1 125.(in Chinese))
[25] PENG L,LI M Y,ZUO J P,et al. Determination of the REV size for heterogeneous rocks with different grain sizes: Deep learning and numerical approaches[J]. International Journal of Rock Mechanics and Mining Sciences,2024,183:105940.
[26] LI M Y,PENG L,LIU D J,et al. Microstructure effect of mechanical and cracking behaviors on brittle rocks using image-based fast Fourier transform method[J]. Journal of Rock Mechanics and Geotechnical Engineering,2025,17:399–413.