PARALLEL ALGORITHM ON CUDA FOR SOLVING MULTIPHASE, MULTICOMPONENT FLUID FILTRATION PROBLEMS IN POROUS MEDIA

The paper discusses the implementation of alternating direction implicit parallel algorithm with CUDA technology to solve the problems of multiphase filtration of a multicomponent fluid in porous media. To solve the tridiagonal equations systems of alternating direction implicit method, cyclic and parallel cyclic reduction methods were used. The results of the study showed that the implementation of cyclic and parallel cyclic reduction algorithms on modern GPUs is much more efficient than on CPUs.

Analytical review of the proceedings of the conference ”Multiphase Systems: Models, Experiment, Applications“

The presented analytical review includes a short description of the papers sent to the conference ”Multiphase Systems: Models, Experiments, Application“. The review consists of seven thematic sections corresponding to the research areas of the works presented by the authors. The list of sections traditionally present at conferences on multiphase systems has been supplemented with a section on ”Microhydrodynamics and Models of Biomedical Research“, which reflects one of the most rapidly developing areas of science and, at the same time, is closely related to the ideas and methods of mechanics of multiphase media. The works representing such new directions as gas hydrate and hydraulic fracturing research were included in the section ”Theory and practice of multiphase filtration“. The review considers more than sixty works in which the most striking results have been achieved, and most consistent with the spirit of the conference. However, we note that the total number of submitted papers exceeds one hundred and twenty.

Generalized law of multiphase filtration and new effects of surface phenomena at two-phase flows in a porous medium

The generalized law of multiphase filtration, which explicitly takes into account the viscous interaction between fluids, capillary and gravitational effects, is analyzed. A special case is considered – a two-phase filtration flow as the basis of the technology of oil reservoirs flooding. A method for determining new material functions – «coupling» phase permeabilities, and their quantitative contribution to the field development indicators is given. A new effect of the dependence of capillary forces on the direction of flow in anisotropic media has been revealed.

RESEARCH OF NON-STATIONARY THERMAL FIELD IN RESERVOIRAND WELLBORE WITH MULTIPHASE FILTRATION

In the paper the mathematical formulation of a task of temperature filed in the wellbore and reservoir sys-tem with multiphase fluid filtration is considered. The mathematical models of two-phase non-isothermal filtration of fluid in porous media are described, which take into account non-stationary thermo hydrodynamic processes, barothermic effect, oil degassing when reservoir pressure lowers below saturation pressure. The mathematical models are developed for two-phase flow in vertical wellbore. The paper shows the results of numerical solution of formation of temperature field in reservoir and wellbore system and testing results on analytical solutions.