Darkhan Akhmed-Zaki

Mathematical Modelling of Oil Recovery by Polymer/Surfactant Flooding

This article describes a hydrodynamic model of collaborative fluids (oil, water) flow in porous media for enhanced oil recovery, which takes into account the influence of temperature, polymer and surfactant concentration changes on water and oil viscosity. For the mathematical description of oil displacement process by polymer and surfactant injection in a porous medium, we used the balance equations for the oil and water phase, the transport equation of the polymer/surfactant/salt and heat transfer equation. Also, consider the change of permeability for an aqueous phase, depending on the polymer adsorption and residual resistance factor. Results of the numerical investigation on three-dimensional domain are presented in this article and distributions of pressure, saturation, concentrations of polymer/surfactant/salt and temperature are determined. The results of polymer/surfactant flooding are verified by comparing with the results obtained from ECLIPSE 100 (Black Oil). The aim of this work is to study the mathematical model of non-isothermal oil displacement by polymer/surfactant flooding, and to show the efficiency of the combined method for oil-recovery.

Distributed parallel algorithm for numerical solving of 3D problem of fluid dynamics in anisotropic elastic porous medium using MapReduce and MPI technologies

Paper presents an advanced iterative MapReduce solution that employs Hadoop and MPI technologies. First, we present an overview of working implementations that make use of the same technologies. Then we define an academic example of numeric problem with an emphasis on its computational features. The named definition is used to justify the proposed solution design.

Implementation of a three dimensional three-phase fluid flow (oil---water---gas) numerical model in LuNA fragmented programming system

To overcome the difficulties of efficient scalable numerical algorithms implementation on multicomputers with a large number of computing nodes, LuNA system is being developed. LuNA automatically generates a code related to communications, resources management and dynamic workload balancing, thus simplifying construction of parallel programs. To examine the efficiency of numerical model implementation, created with LuNA, a real application of a three-phase (oil, water and gas) fluid filtration simulation is studied. The application algorithm is parallelized and implemented using LuNA and conventional approach using MPI (Message Passing Interface). A comparative performance testing of the two implementations is done. The results show that LuNA implementation is easier to develop, but its efficiency is significantly lower than the efficiency of MPI program, but manual tuning of the program execution makes its efficiency comparable to that of MPI program.

Design of Distributed Parallel Computing Using by MapReduce/MPI Technology

This paper describes a constructive approach of distributed parallel computing using by hybrid union of MAPREDUCE and MPI technologies for solving oil extracting problems. We extend a common architecture of MAPREDUCE model by organizing decomposition of computational domain at different stages of MAPREDUCE process. We describes Model Driven Architecture MDA models for developing formal views of high-performance computing technologies using MAPREDUCE. We made computing experiments and show on specific HPC infrastructure. All implementations of programs is realize on Java platform. This approach will possible one of the ways to do cloud computing on high performance heterogeneous systems.

Development of a Distributed Parallel Algorithm of 3D Hydrodynamic Calculation of Oil Production on the Basis of MapReduce Hadoop and MPI Technologies

The developed hybrid model of high performance computing and the realized applications on the basis of MapReduce Hadoop and MPI technologies allow to solve effectively the different classes of oil production problems. Investigations of high performance computing to solve the problem of 3D hydrodynamic calculation of oil production resulted in proposition of a constructive approach to organization of distributed parallel computing using MapReduce Hadoop and MPI technologies for which a general scheme of the iteration infrastructure of MapReduce model is designed; the structure for fulfillment of map and reduce methods and organization of decomposition of the computational area at different Map/Reduce stages are presented; a computational experiment on specific infrastructure is carried out. As the result of this work the architecture of the system realized on the advantages of MapReduce Hadoop and MPI technologies is constructed.

Iterative MapReduce MPI oil reservoir simulator

Paper presents an advanced Iterative MapReduce MPI oil reservoir simulator. First we present an overview of working implementations that make use of the same technologies. Then we define an academic example of numeric problem with an emphasis on its computational features. We present a distributed parallel algorithm of hybrid solution of the problem using MapReduce Hadoop and MPI technologies and describe an improved variant of the algorithm using memory-mapped files.

Applying MDA to Generate Hadoop Based Scientific Computing Applications

The paper presents an attempt to develop and deploy a functioning MDA (Model-Driven Architecture) model of a distributed scientific application. The main focus is a problem of modeling high performance computing processes in a visual notation and automatic generation of an executable code using the resulting diagrams. The article describes the efforts to create a platform independent model of process execution, transformation it into a platform specific model and, finally, automatic generation an application code. The research novelty includes a platform independent model of the classic hydrodynamics problem, equivalent Hadoop based platform specific model and the testing results that confirm feasibility of the research.

Solving critical simulation problems under emergency conditions using volunteer computing

Paper presents a case study where a multi-agent system based volunteer computing platform is used to solve critical simulation problem under emergency conditions. As a result, we extend working platform functionality, better utilize agent paradigm and get valuable data on prototype performance. Main resulting novelty is an advancement in system architecture.

About convergence for finite-difference equations of incompressible fluid with boundary conditions by Woods formulas

In this paper, mathematical aspects of stability, convergence and numerical implementation of two-dimensional differential problem for incompressible fluid equations in “stream function, vorticity” variables defined on a symmetrical template of finite-difference grid studied by method of a priori estimates are considered. Approximate boundary conditions for the vorticity are chosen in the form of Woods formula. In case of a linear Stokes problem, it is shown that the numerical solution of the difference problem converges to the solution of the differential problem with second order accuracy and two algorithms of numerical implementation, for which the rates of convergence obtained, are considered. In the case of non-linear Navier-Stokes equations, estimates of the convergence of a solution of the difference problem to the solution of the differential problem, as well as estimation of the convergence of a considered iterative algorithm with the assumption that the condition is equivalent to the condition of uniqueness of nonlinear difference problem are obtained.