Research on the propagation mechanism of the arrival time error and wave velocity error under sensor array

To study the propagation mechanism of the arrival time error and wave velocity error under sensor array is an urgent problem in microseismic (MS) source location. To solve it, based on the theory of source location, the elliptic governing equation of source location is established. Combining with the hyperbolic governing equation of source location, it is revealed that the arrival time error and wave velocity error make the source "jump" on the adjacent hyperbola and ellipse. Through the numerical simulation test, the seismogenic time error law under the influence of the arrival time error and the wave velocity error is revealed. It is concluded that the location error of the source inside 1.8 times the array radius is mainly caused by the arrival time error and the wave velocity error, while the location error of the source outside 1.8 times the array radius is mainly caused by the seismogenic time error. Finally, considering the seismogenic time error, the location error law of the source under the influence of the arrival time error and velocity error is studied. The research results improve the understanding of the propagation mechanism of the arrival time error and wave velocity error in MS source location.