-
摘要: 针对局部布点测试不能全面了解冲击波传播过程的不足,以及冲击波超压经验公式的局限性,采用网络化测试技术获取冲击波信号,以计算机层析成像技术为基础,利用加权广义逆反演算法对爆炸冲击波速度场进行反演,根据峰值超压与速度的关系得到峰值超压场分布。经一定测试范围内实验验证,峰值超压重建结果优于经验公式计算结果。Abstract: Aiming at the shortcoming that the measurement of part points can not acquire the propagation process of shock wave overall and the limitations of the empirical formulae for overpressure, this paper utilizes the weighted generalized inversion to inverse the velocity field of shock wave, acquires the overpressure distribution according to the relationship of peak overpressure and velocity.The inversion results are preferable to the empirical results by experimental confirmation in limitative area.
-
表 1 重建及经验公式计算结果与实测值的偏差分析
Table 1. Deviation comparison of reconstruction and empirical formula results with experiment value
r/m pm/MPa pm, e/MPa pm, r/MPa $\frac{{\left| {{p_{{\rm{m}},{\rm{r}}}} - {p_{{\rm{m}},{\rm{e}}}}} \right|}}{{{p_{{\rm{m}},{\rm{e}}}}}}/\% $ $\frac{{\left| {{p_{\rm{m}}} - {p_{{\rm{m}},{\rm{e}}}}} \right|}}{{{p_{{\rm{m}},{\rm{e}}}}}}/\% $ 1.5 5.917 0 5.341 0 5.862 0 9.75 10.78 4.0 0.836 2 1.108 0 1.070 6 3.38 24.53 8.0 0.161 0 0.278 1 0.289 1 3.96 42.11 10.0 0.100 5 0.192 0 0.188 1 2.03 47.66 12.0 0.070 1 0.135 5 0.139 8 3.17 48.27 14.0 0.052 5 0.107 0 0.102 0 4.67 50.93 16.0 0.041 4 0.082 0 0.084 5 3.05 49.51 -
[1] 张守中.爆炸基本原理[M].北京: 国防工业出版社, 1988, 397-530. [2] W E贝克.空中爆炸[M〗.江科, 译.北京: 原子能出版社, 1982: 40-85. [3] 李翼祺, 马素贞.爆炸力学[M].北京: 科学出版社, 1992, 259-262. [4] Kepler W F, Bond L J, Frangopol D M. Improved assessment of mass concrete dams using acoustic travel time tomography: Ⅱ: Aapplication[J]. Construction and Building Materials, 2000, 14(3): 147-156. [5] 裴正林, 余钦范, 狄帮让.井间地震层析成像分辨率研究[J].物探与化探, 2006, 26(3): 218-224.Pei Zheng-lin, Yu Qin-fan, Di Bang-rang. Resolution in crosshole seismic tomography[J]. Geophysical and Geochemical Exploration, 2006, 26(3): 218-224. [6] 王振宇, 刘国华, 梁国钱.基于广义逆的层析成像反演方法研究[J].浙江大学学报:工学版, 2005, 39(1): 1-5.Wang Zhen-yu, Liu Guo-hua, Liang Guo-qian. Study on inversion methods for travel time tomography based on generalized inverse theory[J]. Journal of Zhejiang University: Engineering Science, 2005, 39(1): 1-5. [7] Berryman J G. Fermat's principle and nonlinear travel time tomography[J]. Physical Review Letter, 1989, 62(25): 2953-2956.