THE BASES FOR PERFORMANCE OF WORKS:The order of the Ministry of Education and Science of Ukraine № 633 from 5.11.20022 The order of the rector of the Lviv national university of a name of Ivan Franko № -592 from 28.12.20022 The purpose of work: The decision of a problem of construction of model of spatial density of the chosen characteristics of researched environments, development of theoretical and technological bases of effective algorithms of the decision of three-dimensional direct and return problems for modelling geological and geophysical processes. Improvement of a technique of processing of the geophysical data with application of geoinformation technologies for more exact representation of the structural features given about existential distribution of density, physicomechanical parameters concerning researches of a return problem{task} gravimetry and the given seismological measurements for complex interpretation at a regional level.

The initial data: Essential feature of theoretical and applied problems of physics of the Earth is complexity of the phenomena and processes which are studied, caused by a plenty of factors which influence them. Many such factors are inaccessible to measurements or unknown and consequently during mathematical research of the geophysical phenomena it is necessary to make different probability assumptions, and frequently and specifications of model at a geological, physical and mathematical level which are impossible without application of modern computer technics. Long duration, scale of physical processes of the Earth and factors which influence on theirs passing, predetermine difficulty of mathematical modelling of the geophysical phenomena within the framework of existing representations, theories and approaches. Complexity of realization of geophysical experiments is connected also to the decision of problems of the physical description of macroscopical processes in structural environments of the Earth. Different approaches to an explanation of movements and deformations of an earth's crust and a cloak on the basis of mechanics of the continuous environment and mechanics of destruction are widely applied in tectonic-physical the analysis. Tendencies to numerical computer modelling nonlinear effects of interaction, for example geopotential fields with thermal fields were outlined, in view of global and regional structural features. Necessary there is also an improvement of a technique of computer processing, the analysis and synthesis for more informative and exact studying structure, density and distributions of determining characteristics, with the purpose of more full carrying out of complex interpretation of the geophysical data. It demands creation of rather flexible and universal software by calculation of dynamic characteristics of structural environments of the Earth at research of deep processes with use of powerful and effective methods of the decision of начально-regional modelling problems{tasks} of mathematical physics. Development on the given problem on a basis computer modelling and geoinformation technologies are carried out{spent} for the first time in geological and geophysical researches of structural elements as bark, and a cloak of the Earth for an establishment of laws between physical fields and dynamic characteristics of structural environments of the Earth. Development in Ukraine in this direction are insufficient and base on foreign, as a rule, narrow focused commercial development that constrains their introduction as the tool of scientific researches for specificity of geophysical problems.