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GIS INTEGRO is the geo-information software system forming the basis for the integrated interpretation of geophysical data in researching a deep structure of Earth. GIS INTEGRO combines a variety of computational and analytical applications for the solution of geological and geophysical problems. It includes various interfaces that allow you to change the form of representation of data (raster, vector, regular and irregular network of observations), the conversion unit of map projections, application blocks, including block integrated data analysis and decision prognostic and diagnostic tasks.

The methodological approach is based on integration and integrated analysis of geophysical data on regional profiles, geophysical potential fields and additional geological information on the study area. Analytical support includes packages transformations, filtering, statistical processing, calculation, finding of lineaments, solving direct and inverse tasks, integration of geographic information.

Technology and software and analytical support was tested in solving problems tectonic zoning in scale 1:200000, 1:1000000 in Yakutia, Kazakhstan, Rostov region, studying the deep structure of regional profiles 1:S, 1-SC, 2-SAT, 3-SAT and 2-DV, oil and gas forecast in the regions of Eastern Siberia, Brazil.

The article describes two possible approaches of parallel calculations for data processing 2D or 3D nets in the field of geophysical research. As an example presented realization in the environment of GRID of the application software ZondGeoStat (statistical sensing), which create 3D net model on the basis of data 2d net. The experience has demonstrated the high efficiency of the use of environment of GRID during realization of calculations in field of geophysical researches.

In this paper on the basis of the riverbed model proposed earlier the one-dimensional stability problem of closed flow channel with sandy bed is solved. The feature of the investigated problem is used original equation of riverbed deformations, which takes into account the influence of mechanical and granulometric bed material characteristics and the bed slope when riverbed analyzing. Another feature of the discussed problem is the consideration together with shear stress influence normal stress influence when investigating the riverbed instability. The analytical dependence determined the wave length of fast-growing bed perturbations is obtained from the solution of the sandy bed stability problem for closed flow channel. The analysis of the obtained analytical dependence is performed. It is shown that the obtained dependence generalizes the row of well-known empirical formulas: Coleman, Shulyak and Bagnold. The structure of the obtained analytical dependence denotes the existence of two hydrodynamic regimes characterized by the Froude number, at which the bed perturbations growth can strongly or weakly depend on the Froude number. Considering a natural stochasticity of the waves movement process and the presence of a definition domain of the solution with a weak dependence on the Froude numbers it can be concluded that the experimental observation of the of the bed waves movement development should lead to the data acquisition with a significant dispersion and it occurs in reality.

For the production of purified final product in chemical engineering used the process of desublimation. For this purpose, the tank is cooled by liquid nitrogen or cold air. The mixture of gases flows inside the tank and is cooled to the condensation or desublimation temperature some components of the gas mixture. The condensed components are deposited on the walls of the tank. The article presents a mathematical model to calculate the cooling air tanks for desublimation of vapours. A mathematical model based on equations of gas dynamics and describes the movement of cooled air in the duct and the heat exchanger with heat exchange and friction. The heat of the phase transition is taken into account in the boundary condition for the heat equation by setting the heat flux. Heat transfer in the walls of the pipe and in the tank wall is described by the nonstationary heat conduction equations. The solution of the system of equations is carried out numerically. The equations of gas dynamics are solved by the method of S. K. Godunov. The heat equation are solved by an implicit finite difference scheme. The article presents the results of calculations of the cooling of two successively installed tanks. The initial temperature of the tanks is equal to 298 K. Cold air flows through the tubing, through the heat exchanger of the first tank, then through conduit to the heat exchanger second tank. During the 20 minutes of tank cool down to operating temperature. The temperature of the walls of the tanks differs from the air temperature not more than 1 degree. The flow of cooling air allows to maintain constant temperature of the walls of the tank in the process of desublimation components from a gas mixture. The results of analytical evaluation of the time of cooling tank and temperature difference between the tank walls and air with the vapor desublimation. Analytical assessment is based on determining the time of heat relaxation temperature of the tank walls. The results of evaluations are satisfactorily coincide with the results of calculations by the present model. The proposed approach allows calculating the cooling tanks with a flow of cold air supplied via the pipeline system.

Dynamic game theoretic models of the corporative innovative development are investigated. The proposed models are based on concordance of private and public interests of agents. It is supposed that the structure of interests of each agent includes both private (personal interests) and public (interests of the whole company connected with its innovative development first) components. The agents allocate their personal resources between these two directions. The system dynamics is described by a difference (not differential) equation. The proposed model of innovative development is studied by simulation and the method of enumeration of the domains of feasible controls with a constant step. The main contribution of the paper consists in comparative analysis of efficiency of the methods of hierarchical control (compulsion or impulsion) for information structures of Stackelberg or Germeier (four structures) by means of the indices of system compatibility. The proposed model is a universal one and can be used for a scientifically grounded support of the programs of innovative development of any economic firm. The features of a specific company are considered in the process of model identification (a determination of the specific classes of model functions and numerical values of its parameters) which forms a separate complex problem and requires an analysis of the statistical data and expert estimations. The following assumptions about information rules of the hierarchical game are accepted: all players use open-loop strategies; the leader chooses and reports to the followers some values of administrative (compulsion) or economic (impulsion) control variables which can be only functions of time (Stackelberg games) or depend also on the followers’ controls (Germeier games); given the leader’s strategies all followers simultaneously and independently choose their strategies that gives a Nash equilibrium in the followers’ game. For a finite number of iterations the proposed algorithm of simulation modeling allows to build an approximate solution of the model or to conclude that it doesn’t exist. A reliability and efficiency of the proposed algorithm follow from the properties of the scenario method and the method of a direct ordered enumeration with a constant step. Some comprehensive conclusions about the comparative efficiency of methods of hierarchical control of innovations are received.

Functional modeling of blood clotting and fibrin-polymer mesh formation is of a significant value for medical and biophysics applications. Despite the fact of some discrepancies present in simplified functional models their results are of the great interest for the experimental science as a handy tool of the analysis for research planning, data processing and verification. Under conditions of the good correspondence to the experiment functional models can be used as an element of the medical treatment methods and biophysical technologies. The aim of the paper in hand is a modeling of a point system of the fibrin-polymer formation as a multistage polymerization process with a sol-gel transition at the final stage. Complex-value Rosenbroke method of second order (CROS) used for computational experiments. The results of computational experiments are presented and discussed. It was shown that in the physiological range of the model coefficients there is a lag period of approximately 20 seconds between initiation of the reaction and fibrin gel appearance which fits well experimental observations of fibrin polymerization dynamics. The possibility of a number of the consequent $(n = 1–3)$ sol-gel transitions demonstrated as well. Such a specific behavior is a consequence of multistage nature of fibrin polymerization process. At the final stage the solution of fibrin oligomers of length 10 can reach a semidilute state, leading to an extremely fast gel formation controlled by oligomers’ rotational diffusion. Otherwise, if the semidilute state is not reached the gel formation is controlled by significantly slower process of translational diffusion. Such a duality in the sol-gel transition led authors to necessity of introduction of a switch-function in an equation for fibrin-polymer formation kinetics. Consequent polymerization events can correspond to experimental systems where fibrin mesh formed gets withdrawn from the volume by some physical process like precipitation. The sensitivity analysis of presented system shows that dependence on the first stage polymerization reaction constant is non-trivial.

The main statements and inferences of the Dynamic Theory Information (DTI) are considered. It is shown that DTI provides the possibility two reveal two essentially important types of information: objective (unconventional) and subjective (conventional) informtion. There are two ways of obtaining information: reception (perception of an already existing one) and generation (production of new) information. It is shown that the processes of generation and perception of information should proceed in two different subsystems of the same cognitive system. The main points of the Natural-Constructivist Approach to modeling the cognitive process are discussed. It is shown that any neuromorphic approach faces the problem of Explanatory Gap between the “Brain” and the “Mind”, i. e. the gap between objectively measurable information about the ensemble of neurons (“Brain”) and subjective information about the human consciousness (“Mind”). The Natural-Constructive Cognitive Architecture developed within the framework of this approach is discussed. It is a complex block-hierarchical combination of several neuroprocessors. The main constructive feature of this architecture is splitting the whole system into two linked subsystems, by analogy with the hemispheres of the human brain. One of the subsystems is processing the new information, learning, and creativity, i.e. for the generation of information. Another subsystem is responsible for processing already existing information, i.e. reception of information. It is shown that the lowest (zero) level of the hierarchy is represented by processors that should record images of real objects (distributed memory) as a response to sensory signals, which is objective information (and refers to the “Brain”). The next hierarchy levels are represented by processors containing symbols of the recorded images. It is shown that symbols represent subjective (conventional) information created by the system itself and providing its individuality. The highest hierarchy levels containing the symbols of abstract concepts provide the possibility to interpret the concepts of “consciousness”, “sub-consciousness”, “intuition”, referring to the field of “Mind”, in terms of the ensemble of neurons. Thus, DTI provides an opportunity to build a model that allows us to trace how the “Mind” could emerge basing on the “Brain”.

The study tested correctness of three interatomic potentials available in the scientific literature in reproducing a vacancy diffusion in concentrated Fe–Cr alloys by molecular dynamic simulations. It was necessary for further detailed study of vacancy diffusion mechanism in these alloys with Cr content 5–25 at.% at temperatures in the range of 600–1000 K. The analysis of the potentials was performed on alloys models with Cr content 10, 20, 50 at.%. The consideration of the model with chromium content 50 at.% was necessary for further study of diffusion processes in chromium-rich precipitates in these alloys. The formation energies and the atomic mobilities of iron and chromium atoms were calculated and analyzed in the alloys via an artificially created vacancy for all used potentials. A time dependence of mean squared displacement of atoms was chosen as а main characteristic for the analysis of atomic mobilities. The simulation of vacancy formation energies didn’t show qualitative differences between the investigated potentials. The study of atomic mobilities showed a poor reproduction of vacancy diffusion in the simulated alloys by the concentration-dependent model (CDM), which strongly underestimated the mobility of chromium atoms via vacancy in the investigated range of temperature and chromium content. Also it was established, that the two-band model (2BM) of potentials in its original and modified version doesn’t have such drawbacks. This allows one to use these potentials in simulations of vacancy diffusion mechanism in Fe–Cr alloys. Both potentials show a significant dependence of the ratio of chromium and iron atomic mobilities on temperature and Cr content in simulated alloys. The quantitative data of the diffusion coefficients of atoms obtained by these potentials also differ significantly.

Seismic survey process is the common method of prospecting and exploration of deposits: oil and natural gas. Invented at the beginning of the XX century, it has received significant development and is currently used by almost all service oil companies. Its main advantages are the acceptable cost of fieldwork (in comparison with drilling wells) and the accuracy of estimating the characteristics of the subsurface area. However, with the discovery of non-traditional deposits (for example, the Arctic shelf, the Bazhenov Formation), the task of improving existing and creating new seismic data processing technologies became important. Significant development in this direction is possible with the use of numerical simulation of the propagation of seismic waves in realistic models of the geological medium, since it is possible to specify an arbitrary internal structure of the medium with subsequent evaluation of the synthetic signal-response.

The present work is devoted to the study of spatial dynamic processes occurring in geological medium containing fractured inclusions in the process of seismic exploration. The authors constructed a three-dimensional model of a layered massif containing a layer of fluid-saturated cracks, which makes it possible to estimate the signal-response when the structure of the inhomogeneous inclusion is varied. To describe physical processes, we use a system of equations for a linearly elastic body in partial derivatives of the second order, which is solved numerically by a grid-characteristic method on hexahedral grid. In this case, the crack planes are identified at the stage of constructing the grid, and further an additional correction is used to ensure a correct seismic response for the model parameters typical for geological media.

In the paper, three-component area seismograms with a common explosion point were obtained. On their basis, the effect of the structure of a fractured medium on the anisotropy of the seismic response recorded on the day surface at a different distance from the source was estimated. It is established that the kinematic characteristics of the signal remain constant, while the dynamic characteristics for ordered and disordered models can differ by tens of percents.

We consider an application of the Message Passing Interface (MPI) technology for parallelization of the program code which solves equation of the linear elasticity theory. The solution of this equation describes the propagation of elastic waves in demormable rigid bodies. The solution of such direct problem of seismic wave propagation is of interest in seismics and geophysics. Our implementation of solver uses grid-characteristic method to make simulations. We consider technique to reduce time of communication between MPI processes during the simulation. This is important when it is necessary to conduct modeling in complex problem formulations, and still maintain the high level of parallelism effectiveness, even when thousands of processes are used. A solution of the problem of effective communication is extremely important when several computational grids with arbirtrary geometry of contacts between them are used in the calculation. The complexity of this task increases if an independent distribution of the grid nodes between processes is allowed. In this paper, a generalized approach is developed for processing contact conditions in terms of nodes reinterpolation from a given section of one grid to a certain area of the second grid. An efficient way of parallelization and establishing effective interprocess communications is proposed. For provided example problems we provide wave fileds and seismograms for both 2D and 3D formulations. It is shown that the algorithm can be realized both on Cartesian and on structured (curvilinear) computational grids. The considered statements demonstrate the possibility of carrying out calculations taking into account the surface topographies and curvilinear geometry of curvilinear contacts between the geological layers. Application of curvilinear grids allows to obtain more accurate results than when calculating only using Cartesian grids. The resulting parallelization efficiency is almost 100% up to 4096 processes (we used 128 processes as a basis to find efficiency). With number of processes larger than 4096, an expected gradual decrease in efficiency is observed. The rate of decline is not great, so at 16384 processes the parallelization efficiency remains at 80%.

In the framework of modern non-equilibrium thermodynamics (macroscopic approach of description and mathematical modeling of the dynamics of real physical and chemical processes), the authors developed a potential- flow method for describing and mathematical modeling of real physical and chemical processes applicable in the general case of real macroscopic physicochemical systems. In accordance with the potential-flow method, the description and mathematical modeling of these processes consists in determining through the interaction potentials of the thermodynamic forces driving these processes and the kinetic matrix determined by the kinetic properties of the system in question, which in turn determine the dynamics of the course of physicochemical processes in this system under the influence of the thermodynamic forces in it. Knowing the thermodynamic forces and the kinetic matrix of the system, the rates of the flow of physicochemical processes in the system are determined, and according to these conservation laws the rates of change of its state coordinates are determined. It turns out in this way a closed system of equations of physical and chemical processes in the system. Knowing the interaction potentials in the system, the kinetic matrices of its simple subsystems (individual processes that are conjugate to each other and not conjugate with other processes), the coefficients entering into the conservation laws, the initial state of the system under consideration, external flows into the system, one can obtain a complete dynamics of physicochemical processes in the system. However, in the case of a complex physico-chemical system in which a large number of physicochemical processes take place, the dimension of the system of equations for these processes becomes appropriate. Hence, the problem arises of automating the formation of the described system of equations of the dynamics of physical and chemical processes in the system under consideration. In this article, we develop a library of software data types that implement a user-defined physicochemical system at the level of its design scheme (coordinates of the state of the system, energy degrees of freedom, physico-chemical processes, flowing, external flows and the relationship between these listed components) and algorithms references in these types of data, as well as calculation of the described system parameters. This library includes both program types of the calculation scheme of the user-defined physicochemical system, and program data types of the components of this design scheme (coordinates of the system state, energy degrees of freedom, physicochemical processes, flowing, external flows). The relationship between these components is carried out by reference (index) addressing. This significantly speeds up the calculation of the system characteristics, because faster access to data.