Due to the extremely complex detection environment of empty area in deep underground engineering, the detection data is often limited, thus we can only obtain rough contours by conventional fitting method. In view of this, we propose a method for determining the 3-D profile of empty area by using borehole ultrasonic scanning technique. Firstly we present a preprocessing method for the effective screening of ultrasound scanning data by determining valid data points and smoothing non-effective detection points; secondly, by introducing the second-order Bezier curve, we present a curve fitting method which could cover every single effective detection point, favorable for the fitting characteristics of horizontal sections of the empty area; after horizontal contour fitting, we accomplishedvertical fitting by linear interpolation based on depth information, and acquired computation result and 3-D images by MatLab software. Subsequently we compared the results with those obtained from other fitting methods, and the comparison suggest that: 1) the borehole ultrasonic scanning system is able to provide effective data for the modeling of empty area; 2) the improved Bezier curve is feasible and suitable for the fitting of empty area profile; 3) the presented contour fitting method based on ultrasound scanning is proved feasible and accurate.
Key words
borehole ultrasonic scanning /
3-D contour of empty area /
effective detection point /
fitting method /
Bezier curve
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
References
[1] 国家安全生产监督管理总局研究中心.我国矿产资源开采现状调查[R].北京:国家安全生产监督管理总局研究中心,2005.
[2] 过 江,古德生,罗周全.金属矿山采空区3D激光探测新技术[J].矿冶工程,2006,26(5):16-19.
[3] 蒋 俊.岩溶及采空区塌陷的地质灾害研究[D].长沙:中南大学,2008.
[4] 闫小兵,周永胜,申 飞.TSP203在溶洞探测中的应用[J].工程地球物理学报,2007,4(6):589-595.
[5] 杨春和,梁卫国,魏东吼,等.中国盐岩能源地下储存可行性研究[J].岩石力学与工程学报,2005,24(24):4409-4417.
[6] 吴 铠.用最小二乘法拟合圆应用于隧道钢模台车尺寸检查[J].四川水泥,2004,(11):132,151.
[7] 田社平,张守愚,李定学,等.平面圆圆心及半径的最小二乘法拟合[J].实用测试技术,1995,(5):23-25.
[8] 徐国旺,廖明潮.拟合圆的几种方法[J].武汉工业学院学报,2002,(4):104-106.
[9] 刘书华,文良起,翟建武.非圆曲线的最小二乘法拟合法[J].新技术新工艺,2001,(7):12-14.
[10]许静雅.参数曲线、曲面的拟合及其拼接[J].华南工学院学报(自然科学版),1987,15(3):117-121.