Seismic Interferometry by Multi-dimensional Deconvolution for Passive Transient Sources

It has been shown that cross-correlation of passive seismic recordings at the earth surface can yield a Green's function as if both sources and receivers were at the surface. One of the important underlaying assumptions is that the passive sources are uniformly distributed throughout the subsurface. This assumption is generally not fulfilled. We present an alternative approach that can be applied to transient passive seismic recordings registered by an array of receivers, where Cross-Correlation (CC) is replaced by Multi-Dimensional Deconvolution (MDD). We show that MDD can correct implicitly for a non-uniform source distribution and demonstrate this with a synthetic example. The main drawback of our methodology is that individual transient events need to be identified and isolated in the shot records.