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复杂多裂缝情况下改进的虚拟引伸计测量方法

Improved virtual extensometer measurement method in complex multi-fracture situation.

作者信息

Chai Jing, Ouyang Yibo, Liu Jinxuan, Zhang Dingding, Du Wengang, Yang Jianfeng, Liu Yongliang, Ma Zhe

机构信息

School of Energy Science and Engineering, Xi'an University of Science and Technology, Xi'an, 710054, Shaanxi, China.

Key Laboratory of Western Mine Exploitation and Hazard Prevention, Ministry of Education, Xi'an, 710054, Shaanxi, China.

出版信息

Sci Rep. 2022 Apr 26;12(1):6819. doi: 10.1038/s41598-022-08393-9.

DOI:10.1038/s41598-022-08393-9
PMID:35474065
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9042950/
Abstract

To overcome the limitation of the virtual extensometer method in measuring the crack opening displacement (COD) in the process of complex multi-crack propagation of rock, the measurement error of Digital Image Correlation (DIC) local deformation is theoretically analyzed. An improved virtual extensometer method for measuring the COD is proposed, which considers the temporal and spatial characteristics of crack development in the process of complex crack propagation. The accuracy of the proposed method is verified by the strain localization band numerical simulation test and indoor single crack simulation test. Furthermore, the method is applied to the two-dimensional similarity simulation test of simulating complex multi-fractures in rock stratum. The COD obtained by the traditional and improved methods is compared with the measured COD. The results show that in the case of multiple complex cracks, to obtain the COD accurately, the relative distance between the virtual extensometer measuring point and the crack should be greater than half of the sum of the width of the crack strain localization zone and the subset size. With the development of the crack, the relative distance between the virtual extensometer measuring point and the crack should increase with the increase of the width of the crack strain localization zone. The error of the COD measured by the traditional method increases with fracture development, and the maximum is 21.20%. The maximum relative error between the COD measured by the improved method and the measured crack opening is 3.61%. The research results improve the accuracy of the virtual extensometer in measuring the COD under complex multi-crack conditions.

摘要

为克服虚拟引伸计法在测量岩石复杂多裂纹扩展过程中裂纹张开位移（COD）时的局限性，对数字图像相关（DIC）局部变形测量误差进行了理论分析。提出了一种改进的虚拟引伸计法来测量COD，该方法考虑了复杂裂纹扩展过程中裂纹发展的时空特性。通过应变局部化带数值模拟试验和室内单裂纹模拟试验验证了该方法的准确性。此外，将该方法应用于模拟岩层复杂多裂缝的二维相似模拟试验中，将传统方法和改进方法得到的COD与实测COD进行了对比。结果表明，在多复杂裂纹情况下，为准确获取COD，虚拟引伸计测量点与裂纹的相对距离应大于裂纹应变局部化带宽度与子集尺寸之和的一半。随着裂纹的发展，虚拟引伸计测量点与裂纹的相对距离应随着裂纹应变局部化带宽度的增加而增大。传统方法测量的COD误差随裂缝发展而增大，最大为21.20%。改进方法测量的COD与实测裂纹张开之间的最大相对误差为3.61%。研究结果提高了虚拟引伸计在复杂多裂纹条件下测量COD的精度。

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