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黄金科学技术 ›› 2022, Vol. 30 ›› Issue (3): 427-437.doi: 10.11872/j.issn.1005-2518.2022.03.194

• 采选技术与矿山管理 • 上一篇    下一篇

联合改进作用距离和Dijkstra算法的复杂结构声发射定位方法及应用

郑雨晴(),陈勇,王进华,尚雪义(),刘彩云   

  1. 重庆大学资源与安全学院，煤矿灾害动力学与控制国家重点实验室，重庆 400044
  • 收稿日期:2021-12-13 修回日期:2022-04-08 出版日期:2022-06-30 发布日期:2022-09-14
  • 通讯作者: 尚雪义 E-mail:zhengyuqing0203@foxmail.com;shangxueyi@cqu.edu.cn
  • 作者简介:郑雨晴（2001-），女，四川宜宾人，本科生，从事声发射监测方面的研究工作。zhengyuqing0203@foxmail.com
  • 基金资助:
    国家级大学生创新训练计划资助项目“三维含孔洞结构声发射事件精准定位”(202110611102);国家自然科学基金青年基金项目“硬岩开采诱发微震震源机制的贝叶斯波形反演及其演化规律研究”(52004041);重庆市自然科学基金博士后面上项目“地下矿山三维高斯束层析成像与逆时偏移定位研究”(cstc2020jcyj-bshX0106)

Acoustic Emission Localization Method for Complex Structure Based on Improved Interaction Distance and Dijkstra Algorithm and Its Application

Yuqing ZHENG(),Yong CHEN,Jinhua WANG,Xueyi SHANG(),Caiyun LIU   

  1. State Key Laboratory of Coal Mine Disaster Dynamics and Control，School of Resources Safety Engineering，Chongqing University，Chongqing 400044，China
  • Received:2021-12-13 Revised:2022-04-08 Online:2022-06-30 Published:2022-09-14
  • Contact: Xueyi SHANG E-mail:zhengyuqing0203@foxmail.com;shangxueyi@cqu.edu.cn

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摘要：

声发射定位对含空区等复杂结构的连续动态安全监测具有重要意义。针对直线路径定位方法不适用于复杂结构，而常规Dijkstra搜索算法常出现局部最优路径等问题，提出了一种联合改进作用距离和Dijkstra算法的声发射定位方法，实现复杂结构下声发射的高精度定位。理论测试显示：基于改进作用距离的Dijkstra算法得到的P波传播路径长度小于等于常规作用距离的Dijkstra算法，即P波走时更为准确。理论测试和断铅试验定位测试表明：本文提出的定位方法在复杂结构声发射定位时的整体误差在0.50 cm范围之内，断铅事件平均定位误差由常规作用距离Dijkstra算法的0.95 cm下降至本文的0.54 cm。改进的声发射定位方法在复杂结构声发射定位方面具有很好的应用前景。

关键词: 安全监测, 声发射定位, 复杂结构, Dijkstra算法, P波走时, 作用距离

Abstract:

Acoustic emission source location plays an important role in the continuous dynamic safety monitoring of complex structures which contain empty zones. The straight path-based location method can’t be applied in a complex structure， and the existing Dijkstra search algorithm can obtain optimal local paths. This study improves the calculation method of the distance between two points： if the line determined by two points does not intersect the obstacle， the straight line distance between the two points is the reachable distance of two points， and the other ways are recorded as infinity.To solve this problem， an acoustic emission location method based on improved interaction distance and Dijkstra algorithm was proposed in this study. It uses the double-difference method to establish the positioning objective function and the mesh method to calculate the fitting error of the positioning objective function of each grid point， and takes the corresponding point of the minimum fit error as the positioning result， which to achieve a high-precision acoustic emission location in a complex structure. Tests were carried out with complex structures with rectangles， triangles， and circles and structures with single round holes. The results indicate that the P wave propagation path obtained by the Dijkstra algorithm with improved interaction distance is less than or equal to that obtained by the traditional Dijkstra algorithm. And the P wave propagation path containing the round pore structure is very close to the theoretical propagation distance. In other words， the P wave travel time based on improved interaction distance is more reliable. After adding 3us Gaussian noise to the theory， the positioning error of the conventional method reached 1.5cm， but the location method proposed in this study has an overall location error within 0.50 cm for complex structures. It shows that the proposed method has good robustness. Further， the lead-breaking experiment was carried out on the rectangular （30 cm×20 cm） granite sample containing a round hole （D=2.5 cm）. After the double-difference method was used to remove the P wave initial to systematic error， the positioning error of the conventional method was mainly 0.5 to 1.5 cm， and the overall error of the positioning method in this paper was within the range of 0.50 cm， and the average positioning error for the lead breaking events from 0.95 cm of traditional Dijkstra algorithm to 0.54 cm for PLB events， which indicates that the proposed method has a good application prospect for complex structures.

Key words: safety monitoring, acoustic emission localization, complex structure, Dijkstra algorithm, P wave travel time, interaction distance

中图分类号: 

  • TD-05

图1

Dijkstra算法实例"

图2

常规作用距离与改进作用距离的搜索节点比较"

图3

改进的声发射定位方法流程图"

图4

P波在含多种形状障碍物的复杂结构中的传播路径"

表1

2种测试试验的传感器位置"

测试

试验

传感器

编号

传感器位置/cm测试试验传感器编号传感器位置/cm
xyxy
含多种形状障碍物的复杂结构理论测试14848含单一圆孔的复杂结构理论测试12818
2482522810
34823282
42524152
522522
62256210
72487218
8254881518

图5

P波在含多种形状障碍物的复杂结构中的传播距离"

图6

P波在含单圆孔复杂结构中的传播路径"

图7

P波在含单圆孔复杂结构中的传播距离"

图8

常规作用距离与改进作用距离Dijkstra算法的传播距离差值统计"

图9

基于常规作用距离的Dijkstra算法定位结果"

图10

基于改进作用距离的Dijkstra算法定位结果"

表2

基于Dijkstra算法的定位结果"

使用的数据常规作用距离定位/cm改进作用距离定位/cm
xy误差xy误差
理论时间12.5010.500.7112.0010.500.50
含1.5 μs高斯噪声12.509.001.1212.009.500.50
含3.0 μs高斯噪声12.508.501.5812.009.500.50

图11

不同噪声条件下本文方法485个事件定位结果"

图12

试验设备及声发射监测原理"

图13

断铅事件定位结果"

图14

断铅试验定位误差统计"

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