A method for the determination of the integral critical parameter (precursor) of the rocks strength and destruction has been developed using the dilatancy physical–mathematical model for the destruction of rocks in the earthquake source. This parameter is density of cracks in the unit of the volume. It is determined on the basis of the data of monitoring of anomalous geophysical fields of different nature and the numerical solution of the combined multidisciplinary inverse problems for the periodic determination of this integral precursor.

Some examples of specific combined inverse problems of geophysics for the multidisciplinary earthquake prediction studies are considered.