The work is devoted to one of the approaches in the numerical simulation of filtration processes of a two-phase incompressible fluid. Bukley -Leverett problem is considered with solutions of a shock wave type. Within the mixed finite element method upwind algorithm for solution to equation for saturation is proposed, which gives solutions without numerical oscillations at the discontinuity. Special attention is paid to a new approach to solving the degenerate Neumann problem in a mixed formulation for the pressure and total flow velocity. The work is accompanied by an illustration of the results of numerical experiments for 3D problem.

The work is devoted to one of the approaches of wells modeling within numerical oil reservoir simulation. The approach can be consider as fictitious domain method at mixed finite element approximation, which is used for non-stationary filtration processes of two phase fluid in Bukley-Leverett problem. The numerical results are compared with the results for the problem with usual Neumann conditions at the wells boundaries.

В статье рассматриваются вопросы, связанные с соотношением жесткостей горизонтальных и вертикальных элементов высотных зданий. Из учета принципов работы несущих систем таких зданий определены характерные точки перелома кривой упругой вертикальной линии. Проанализирована возможность применения керамзитобетона в перекрытиях с точки зрения влияния их жесткости на деформации всей системы. Для различных конструктивных систем выполнен расчет перемещений от ветровой статической нагрузки с учетом пульсационной составляющей ветровой нагрузки, а также сопоставление компьютерного и ручного расчета. Определены места расположения датчиков автоматического мониторинга. The article discusses issues related to the ratio of the stiffnesses of horizontal and vertical elements of high-rise buildings. Based on the principles of operation of the load-bearing systems of such buildings, the characteristic fracture points of the elastic vertical line curve are determined. The possibility of using expanded clay in floors is analyzed from the point of view of the influence of their rigidity on the deformation of the entire system. For various structural systems, displacements from the static wind load were calculated taking into account the pulsating component of the wind load, as well as a comparison of computer and manual calculations. The locations of automatic monitoring sensors are determined.

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