Revisiting the hypocenter-velocity problem through a slope tomography inspiration

We revisit the hypocenter-velocity problem which is of interest in different fields as for example microseismics and seismology. We show how, through a formulation based on kinematic migration focusing using two picked kinematic attributes in the two-dimensions case, the travel time and the slope (horizontal component of the slowness vector), we are able to invert jointly for the location, the origin time correction and the subsurface parameters mainly velocity. We present in this study a proof of concept validated by a toy test in two-dimensions. The method presented in this study is extendable to three-dimensions by incorporating the back-azimuth as a supplementary attribute.