An Innovative Analytical Solution of Ae/Ms Source Location with Singular Value Decomposition and Weight Estimation

To avoid the influence of the arrival error and parameter coupling on source location, this paper derives an innovative analytical solution of acoustic emission/micro-seismic (AE/MS) source location. Firstly, velocity-free control equations are constructed using arrival measurements and sensor coordinates, and then are linearized using a homogenized arrival reference. Secondly, weights of the linear equations are acquired using the residual estimation. Lastly, solving weighted equations for optimal source coordinates using singular value decomposition. AE experiment results give that the average positioning accuracy of the proposed method is only 10.6 mm, which is 32% and 62% higher than two latest methods. The results of simulation tests demonstrate that the proposed method generally maintains the highest localization accuracy under different arrival errors. On-site blasting experiments further concludes that compared with the positioning errors (26.3 m and 32.5 m) of two latest methods, the error of the new method is only 10.4 m.