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MATHEMATICAL MODEL OF HYDROLITHOSPHERIC PROCESSES

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It is noted that many of hydrolithospheric processes are described by partial differential equations, and corresponding mathematical models do not have analytical solutions; in several cases, there are no mathematical models, too. Therefore, to solve a practical problem, such as synthesis of control system of flow rate of producing wells or formation of an optimal technological modes of operation field, it is necessary to develop an approximate model. A method of approximating model construction for a hydrolithospheric process is presented. The proposed approach is based on the methods of frequency synthesis and distribution of high-quality modes theory. Design of distributed regulators using the developed method is reported to ensure required quality parameters.

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