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multiscale-finite-volume-method
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Multi-resolution Multiscale Finite Volume Method for Reservoir Simulation
, Ph.D. Dissertation Sharif University of Technology ; Taghizadeh Manzari, Mehrdad (Supervisor)
Abstract
Many of natural porous media, especially oil reservoirs, have strong heterogeneities that span a wide range of scales. These heterogeneities are manifested in the form of strong variations in the permeability field. These variations can be of several orders of magnitude within a small distance. Therefore, the flow in porous media is a multiscale Phenomenon. Due to prohibitive size of input data, numerical simulation of such problems needs extremely large computer memory and computational time, which can be impractical in some cases. In recent years, multiscale methods as a powerful tool have been employed to tackle this problem. In present study, a family of non-iterative Multiscale Finite...
A Coupling Atomistic-continuum Approach for Modeling Dislocation in Plastic Behavior of Nano-structures
, M.Sc. Thesis Sharif University of Technology ; Khoei, Amir Reza (Supervisor) ; Jahanshahi, Mohsan (Co-Advisor)
Abstract
In this study, a novel multi-scale hierarchical method has been employed to explore the role of edge dislocation on Nano-plates with hexagonal atomic structure in large deformation. multiscale hierarchical atomistic/molecular dynamics (MD) finite element (FE) coupling methods are proposed to demonstrate the impact of dislocation on mechanical properties of Magnesium in large deformation. The atomic nonlinear elastic parameters are attained via computing first-order derivation of stress with respect to strain of Representative Volume Element (RVE). To associate between atomistic and continuum level, the mechanical characteristics are captured in the atomistic scale and transferred to the...
Simulation of Flow in 2Dimensional Fractured Hydrocarbon Reservoirs Using Black-Oil Model and Multi-scale Finite Volume Method
, M.Sc. Thesis Sharif University of Technology ; Taghizadeh Manzari, Mehrdad (Supervisor)
Abstract
The goal of this research is to introduce and improve the new multiscale finite volume method for simulation of multiphase flow in porous media. This method has recently presented as an efficient approach in computational fluids dynamics field. This thesis contains the followings: In the first step a brief introduction is presented about petroleum reservoir engineering and different methods of oil production. Then the importance of new simulation methods to anticipate the behavior of these reservoirs with detailed geographical information is discussed. In the second section black-oil formulation in petroleum reservoirs is descritized with the aid of finite volume method. Using general...
Combination of a Multi-scale Finite Volume and Streamline Methods for Reservoir Simulation
, M.Sc. Thesis Sharif University of Technology ; Taghizadeh Manzari, Mehrdad (Supervisor)
Abstract
In this work, the combination of a multi-scale finite volume and streamline methods is presented for subsurface flow modeling. The used multi-scale method in this work is the same with the traditional type of it in algorithm and formulation. However, because of using a new mesh structure for implementation of multi-scale finite volume method, the new method named by Staggered Mesh Multi-scale Finite Volume (SMMsFV) method. Using the staggered mesh has some advantages such as reducing the computational cost and increasing the accuracy of the multi-scale method. In the SMMsFV method, first the coarse grid and dual coarse grid are constructed on the underlying fine grid. Then, the basis and...
Multiscale Finite Volume Method for Simulation of Compressible Multiphase Flow in Porous Media
, M.Sc. Thesis Sharif University of Technology ; Jamshidi, Saeed (Supervisor) ; Masihi, Mohsen (Supervisor)
Abstract
Today, due to a massive increase in accuracy of reservoir characterization models, multiphase flow simulation on real permeability fields faces a serious challenge. Using multiscale methods in reservoir flow simulation of a heterogeneous environment has led to huge speed-up of the simulation. In multiscale methods, instead of replacing a heterogeneous medium by an equivalent homogeneous medium, used in upscaling, the problem is solved on the original resolution. In this thesis, multiscale finite volume method (MSFV) has been used to simulate flow and saturation behavior of a black oil model. Unlike the original multiscale finite volume methods that were unable to solve compressible fluid...
Modeling the Nonlinear Behavior of Nano-Materials Via Hierarchical RVE-based Multi-Scale Method
, M.Sc. Thesis Sharif University of Technology ; Khoei, Amir Reza (Supervisor)
Abstract
In this paper, a hierarchical RVE-based continuum-atomistic multiscale framework is established on the basis of the nonlinear finite element method and molecular dynamics simulation in order to model the geometric and material nonlinearities of deformable solids. In this framework, the coarse scale material properties required for nonlinear finite element method are directly exploited via fine scale atomistic simulation of atomic RVEs designated for each coarse scale integration point and required boundary conditions for atomic RVE simulation are achieved from the coarse scale kinematical response. In order to ensure the kinematical and energetic consistency between the two scales, the...
Multiscale Finite-Volume Simulation of Multi Phase Flow in Heterogeneous Porous Media
,
M.Sc. Thesis
Sharif University of Technology
;
Pishvaie, Mahmood Reza
(Supervisor)
;
Taghizadeh Manzari, Mehrdad
(Supervisor)
Abstract
Multi-Scale finite volume (MSFV) method have been developed and applied for multiphase flow in porous media. The most important advantage of MSFV method is its computational efficiency. In this thesis we apply and implement this method to porous media simulation. Then, computational parameters such as coarsening ratio, effect of threshold on adaptive computation and different boundary conditions for computing basis functions are investigated. The two difficulties of sMSFV method are problems with high permeability contrast and problems with high course grid aspect ratio which are considered. In standard MSFV (sMSFV) method reduced boundary condition is used to determine the basis and...
Petroleum Reservoir Simulation Using Combination Multi-scale Finite Volume Method and Streamline Method with Gravity Effects
, M.Sc. Thesis Sharif University of Technology ; Taghizadeh Manzari, Mehrdad (Supervisor)
Abstract
In this thesis the oil reservoir simulation is carried out by using a combination of fast Multi-scale finite volume method and Streamline method considering gravity effects. In this simulation, the governing equations for incompressible fluid flow in porous media are solved using the IMPES (implicit pressure- explicit saturation) viewpoint. Multi- scale method is rapid (equivalent on coarse-scale methods) and accurate (equivalent on fine-scale methods) in solving the pressure field. Using the pressure field obtained through this way combined with Darcy equation make us able to extract the conservative velocity field. In this study, analytical and numerical Streamline methods are used to...
Effects of using altered coarse grids on the implementation and computational cost of the multiscale finite volume method
, Article Advances in Water Resources ; Volume 59 , September , 2013 , Pages 221-237 ; 03091708 (ISSN) ; Manzari, M. T ; Sharif University of Technology
2013
Abstract
In the present work, the multiscale finite volume (MsFV) method is implemented on a new coarse grids arrangement. Like grids used in the MsFV methods, the new grid arrangement consists of both coarse and dual coarse grids but here each coarse block in the MsFV method is a dual coarse block and vice versa. Due to using the altered coarse grids, implementation, computational cost, and the reconstruction step differ from the original version of MsFV method. Two reconstruction procedures are proposed and their performances are compared with each other. For a wide range of 2-D and 3-D problem sizes and coarsening ratios, the computational costs of the MsFV methods are investigated. Furthermore, a...
Modified multiscale finite volume method for two phase flow in porous media
, Article ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE) ; Volume 7 A , 2013 ; 9780791856314 (ISBN) ; Eksiri, H ; ASME ; Sharif University of Technology
American Society of Mechanical Engineers (ASME)
2013
Abstract
Multiscale finite volume (MSFV) method have been developed and applied in various complicated physics. The most important advantage of MSFV method is its computational efficiency. In this paper we present a new set of boundary condition for calculation of basis and correction functions which leads to further reduction in computational time in problems with medium heterogeneity and therefore improves computational efficiency. In standard MSFV (sMSFV) method reduced boundary condition is used to determine the basis and correction functions which is based on local information, however in modified MSFV (mMSFV) method global information is used at initial time for constructing boundary condition...