Within the framework of block self-organizing of geological bodies with use of deformation theory the mathematical solution of a problem for effective final speed is proposed. The analytical and numerical integrated solutions of Navier-Stokes equation for deformable porous space were obtained. The decisions of multi-scaled regional problems «on a flow basis» were also presented: from lithology of rock space -to a well and from a well -to petro-physics. The evolutionary transformation of the linear solution of the equation on mass conservation up to the energetically stable non-linear solution of the equation on preserving the number of movements is also offered.
Introduction There are few people who have doubts concerning the important role of crest faults in migration and formation of oil/gas deposits. The increased fracturing and vags capacity in these zones creates the useful space which under favorable conditions that serves as subsurface storage of hydrocarbons (HC). Complex phase trajectories with the development of fractured reservoirs by numerous wells and rock pressure (stresses) related to them and the seismic emissions of condensed matrix cannot be described by parabolic equations of geological-hydrodynamical simulation. The geophysical and the related hydro-dynamic fields of HC genesis and accumulation, facies and phase borders of porous space in well inflow cases are characterized by the following general abnormal features: Complicated self-organizing feature of scaled macro-world/micro-world space with no strict structural monitoring; Fluctuations of inflow profiles from zero up to several hundreds of cubic meters per day, that are not coordinated to low porosity and permeability values; Restrictions of deposits by faults, replacements, tidal wave depositions, condensation, and for the wells - by segments with zero inflow from low-permeable, stagnant zones with jammed capillaries and counter-flow impregnation; Tangential pressures, non-equilibrium temperature, viscosity and difficulty (sometimes impossibility), inversion in saturation and pressure, defining the OWC; Convectual/diffusional shear deformations, non-equilibrium lithology, suffusion. We submit two ways for decisions with multi-scaled regional task: «on a flow basis» from a well towards petro-physics and from lithology of rock space - to a well, by methods of evolutionary transformation of the equations for mass preservation up to energy-steady solutions of Navier-Stoks's equation. We have received analytical and numerically integrated decisions on the interaction of rock pressure (stress) inside the porous space and viscous drain of a well. Theoretical Substantiation of a Problem The forecasting of saturation character for sedimentary HC traps is one of most complicated items inn seismic exploration, geo-physics and geological hydro-dynamic modeling of deposits as well as the processes of their development. The problems while simulating these systems is related to the arrangement of various areas inside the formation, which act differently with the actions applied towards them, depending upon the stage of development. With this in mind the model of interaction it substantially different depending upon the type of effect and the distance from the center of this effect. As a result the actual behaviour of the system deviates from model one, giving the solutions that are "asymmetrical?? in specific models.
Abstract. Within the framework of block self-organizing of geological bodies with use of deformation theory the mathematical solution of a problem for effective final speed is proposed. The analytical and numerical integrated solutions of Navier-Stokes equation for deformable porous space were obtained. The decisions of multi-scaled regional problems «on a flow basis» were also presented: from lithology of rock space -to a well and from a well -to petro-physics. The evolutionary transformation of the linear solution of the equation on mass conservation up to the energetically stable non-linear solution of the equation on preserving the number of movements is also offered. Basing upon the analytical solution of Navier-Stokes equation and model of A.N. Kolmogorov we have obtained the energy model of turbulence pulsing controlled chaos, conjugated with risk stability of average well inflow and cluster structure of Earth de fluidization. IntroductionRevolution with shale has brightly illustrated the possibilities of theoretical solutions for NavierStokes equation in the burning issue of the century -global geology correlated with global mathematics, geo-physics, geo-dynamics and global economy. Multi-scaled solutions for continuous medium of porous micro-structure, the equations based upon the conservation laws and phase trajectories of micro-world pulse moment are correlated by energy with conjugated solutions of Navier-Stokes equation and conditions of system equilibrium (porous matrix). Physical and mathematical solutions of inflow profiles with due consideration of geological risks in development of the reservoir with complex structure are well coordinated with geo-physical, seismic experiments, actual well production rates and cluster structure of the economics.
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