Mathematical models of a liquid filtration from reservoirs

This article studies the ltration from reservoirs into porous media under gravity. We start with the exact mathematical model at the microscopic level, describing the joint motion of a liquid in reservoir and the same liquid and the elastic solid skeleton in the porous medium. Then using a homogenization procedure we derive the chain of macroscopic models from the poroelasticity equations up to the simplest Darcy's law in the porous medium and hydraulics in the reservoi

Micropropagation of rose cultivar ‘Pareo’

A protocol was developed for micropropagation of rose cv. ‘Pareo’. Nodal segments were surface sterilized with 0.1% solution of mercuric chloride for 10 min and these disinfected explants were inoculated aseptically on culture medium. The, axillary shoots were regenerated from nodal explants on agar-gelled Murashige and Skoog medium supplemented with 1.5 mg/l BAP. In vitro rooting was obtained when shoot clusters were cultured on half strength Murashige and Skoog medium supplemented with 1.0 mg/l IBA. The rooted plantlets were acclimatized successfully in the field.Key words: Micropropagation, nodal segments, rose

Modelowanie problemu fazowego przejścia w nieizotermicznej filtracji i jakościowe właściwości decyzji

The resolvability of Stephen's problem with convective heat transfer met in problems of the theory of not isothermal filtration is considered in the paper. The speed of a liquid phase is considered to be known and congruent with the Darcy law. Everywhere where the temperature of fusion of paraffin is lower, it is considered to be equal to zero.W pracy przeanalizowano możliwość rozwiązania problemu Stephena dla transferu ciepła konwekcyjnego, pojawiającego się w teorii filtracji płynu nieizotermicznego. Przyjęto, że znana jest wartość prędkości przepływu fazy ciekłej zgodnie z prawem Darcy'ego. Wszędzie tam, gdzie temperatura topienia parafiny jest niska, zakłada się, że jest równa zeru

Problem związany z procesem nieizotermicznej filtracji

In article the task is considered and the algorithm of numerical modeling of phase passages is developed at a nonisothermal filtration with selection of conditions of formation and phase downwards the "transitive" zone for a plainly-parallel case.W pracy opracowano algorytm numerycznego modelowania przepływów fazowych dla nieizotermicznej filtracji w różnych warunkach złożowych i fazowych wzdłuż "przepływowej" strefy dla przypadku płaszczyzn równoległych

Mathematical models of a liquid filtration from reservoirs

This article studies the ltration from reservoirs into porous media under gravity. We start with the exact mathematical model at the microscopic level, describing the joint motion of a liquid in reservoir and the same liquid and the elastic solid skeleton in the porous medium. Then using a homogenization procedure we derive the chain of macroscopic models from the poroelasticity equations up to the simplest Darcy's law in the porous medium and hydraulics in the reservoi

GMRES based numerical simulation and parallel implementation of multicomponent multiphase flow in porous media

This article considered the numerical simulation of multicomponent multiphase flow in porous media. The resulting system of nonlinear equations linearized by the Newton-Raphson method and solved with the iterative Generalized minimal residual method (GMRES) algorithm. To achieve better convergence, we used the ILU(0) preconditioner to the GMRES algorithm. As a result, we used a completely implicit scheme called the Newton-ILU0-GMRES algorithm to solve the problem of interest. Based on the obtained sequential algorithm, we implemented a parallel algorithm using Message Passing Interface (MPI) technology. Additionally, we made comparisons between the parallel program of the presented algorithm and the parallel program using the ready-made Portable Extensible Toolkit for Scientific Computation (PETSc) library. We developed an MPI parallel algorithm and tested it on the MVS-10P supercomputer of the Interdepartmental Supercomputer Center of the Russian Academy of Sciences