无需预先测速的长方体监测网络声发射源三维解析定位方法

摘要

To find analytical solutions of nonlinear systems for locating the acoustic emission/microseismic(AE/MS) source without knowing the wave velocity of structures, the sensor location coordinates were simplified as a cuboid monitoring network. Different locations of sensors on upper and lower surfaces were considered and used to establish nonlinear equations. Based on the proposed functions of time difference of arrivals, the analytical solutions were obtained using five sensors under three networks. The proposed analytical solutions were validated using authentic data of numerical tests and experiments. The results show that located results are consistent with authentic data, and the outstanding characteristics of the new solution are that the solved process is not influenced by the wave velocity knowledge and iterated algorithms.%为得到未知波速结构声发射源定位坐标求解的解析解，将传感器阵列简化为长方体，以求得最小监测网络下的声发射源定位解析解。考虑传感器在长方体表面不同位置的各种情形，建立对应的定位控制非线性方程组。根据建立的方程组和到时差，将监测网络分为3种情况，分别求得未知波速情况下采用5个传感器进行定位的声发射源定位解析解。将得到的声发射源定位解析解应用到数值和声发射试验中进行验证。结果显示，所求得的解析解避免了预先测定波速与迭代算法求解给定位带来的误差，定位结果与真实坐标一致。