Diagram of the STL-SWEI processing sequence in three dimensions (right). A set of pushes are sequentially delivered to positions (xp,yp), tracking the response at one or more locations (xt,yt). A characteristic time of flight Txp,yp is found between each push location and the single track location. The shear wave speed estimate is the inverse of the local gradient of arrival times ∥∇xp,ypT∥−1. A volume is made by combining the slices from multiple depths.