1. A method for characterizing natural fracture networks or other textural networks in an Earth formation, comprising: receiving microseismic data from a hydraulic fracturing event; identifying a subset of the microseismic data associated with one or more fractures produced by the hydraulic fracturing event, wherein the subset of the microseismic data comprises components of the microseismic data associated with the one or more hydraulic fractures; and obtaining a remainder dataset of the microseismic data by removing the subset from the microseismic data.