Mostovoy V. Models of monitoring systems of geophysical fields.

The thesis work is dedicated to the creation of mathematical models of active and passive seismic monitoring and the application of these models to solve practical problems. A theory is developed to active monitor fluctuations of the parameters of the signal. Based on this theory, there is proposed an effective method for the analysis of natural and man-made objects, the natural frequencies lie in the bottom part of the acoustic and seismic bands. This method was used in the monitoring of the dynamics of objects to identify their stat. A new approach and a non-traditional model of the natural background of the monitoring object of a superposition of damped or growing harmonics, which allows us to estimate the most important parameters in the description of the object, the dynamics of which characterizes it "age" changes. The proposed technique pre-processing to correct the experimental results and updating of information loss. A mathematical model of signal extraction in seismic and the bottom part of the acoustic frequency band and design algorithms for implementation, which was tested in numerous experiments and applied to the processing of field observations. For determination of the spectral composition of the signal with the spectral composition of the investigated data suggested way of regularization for solving the inverse problem according to active monitoring data, based on the involvement of a priori information about the distributions of fluctuating parameters of the signal. There is a propoused rapid method of finding oil and gas deposits on these active monitoring. For the models studied the question of correctness regression problems and the convergence of search algorithms for regression problems of the global minimum.