A system (400) for processing microseismic data comprises an array (330) of seismic sensors (331, 332) at known locations, means (331, 332; 410) for enhancing SNR in a seismic signal output from a seismic sensor, means (331, 332; 410) for detecting a microseismic event in the seismic signal and inverting means (410) for adapting a rock physical model (255) to microseismic data that are acquired at least partially from the seismic signal representing a microseismic event. The rock physical model comprises a set of spatial volume elements mapping a set of physical volume elements (320) within a volume (300) to be monitored, wherein each spatial volume element comprises attributes for the position and extension of the physical volume element (320), a velocity and an attenuation. Data of various kinds, e.g. pore geometry, and from numerous sources, e.g. laboratory measurements, can be incorporated in the rock physical model (255).