Найдено научных статей и публикаций: 45, для научной тематики: -
21.
Составитель Драган С. В.
, 2011
22.
Драган С. В.
, 2011
-...
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Абакан, 2011. 20 стр.
23.
A. Kh. Pergament, V. A. Semiletov, P. Yu. Tomin
- Proceedings of XII European Conference on the Mathematics of Oil Recovery , 2010
The problem of multiphase flow modeling for giant oil and gas fields partitioned into several areas is considered. The aggregation of essential number of input fine grid cells forms the cell of coarse grid. According to ideas of I.Babuska, one can show that the pore pressure at each cell of the coar...
The problem of multiphase flow modeling for giant oil and gas fields partitioned into several areas is considered. The aggregation of essential number of input fine grid cells forms the cell of coarse grid. According to ideas of I.Babuska, one can show that the pore pressure at each cell of the coarse grid may be approximated using linear combination of special basis functions. These functions are solutions of single-phase flow problem in the cell of the coarse grid with special piecewise multilinear functions used as boundary condition. The support operator method (SOM) by A.A.Samarsky is used to calculate the basis functions. Using R.P.Fedorenko idea of the superelement method (SEM), the calculated basis functions are used for approximation in SOM instead of ordinary linear function. Compared to SEM, the number of basis functions for method developed is substantially smaller: not 8 but 3 for the hexahedron grid. Finally the distribution of pressure and saturation evolution is calculated with Neumann boundary conditions for governing system. Method developed is high-resolution one and allows effective simulation of the processes for giant production fields.
Proceedings of XII European Conference on the Mathematics of Oil Recovery, P015, Oxford, England, September 2010
24.
A. Kh. Pergament, V. A. Semiletov, P. Yu. Tomin
- Proceedings of XI European Conference on the Mathematics of Oil Recovery , 2008
The multiphase flow in fractural media with different fractal structures is considered. The homogenized
model of processes depends on the structure pattern. One of them leads to the known double porosity
model, the other may be described by tensor total and pseudo phase permeability. The influence o...
The multiphase flow in fractural media with different fractal structures is considered. The homogenized
model of processes depends on the structure pattern. One of them leads to the known double porosity
model, the other may be described by tensor total and pseudo phase permeability. The influence of the
capillary effects is taken into consideration. The algorithms of the tensor permeability calculation are
developed by using the self-similar properties of the fractal structure. We have used the support operator
method for difference scheme construction. This method allows approximating both the dissipative energy
and phase flux. The results of modeling some problems are represented.
Proceedings of XI European Conference on the Mathematics of Oil Recovery, P12, Bergen, Norway, September, 2008
25.
A. Kh. Pergament, V. A. Semiletov, P. Yu. Tomin
- Proceedings of XI European Conference on the Mathematics of Oil Recovery , 2008
The typical scales of pore pressure and fluid saturations variations are different both for space and
temporal variables. The multiscale method is based on using the coarse grid for pore pressure equation and
fine grid for saturation equations. The time step for these equations may be different too....
The typical scales of pore pressure and fluid saturations variations are different both for space and
temporal variables. The multiscale method is based on using the coarse grid for pore pressure equation and
fine grid for saturation equations. The time step for these equations may be different too. The essential
feature of the method is the basic function construction by solving the one phase stationary equations.
These basis functions have the same peculiarities determined by the fine grid structures. The solution of
pore pressure equations may be constructed as linear span of these basic functions for Buckley-Leverett
equations. In general case it is possible to construct the tensor total permeability coefficients and to upscale
the relative permeability. The method of calculating these variables is the dissipative energy integral
approximation. As a result we have the non-linear parabolic equation for pore pressure with tensor
coefficients. The implicit schemes on the fine grid are considered for saturation equation. The general
method is high resolution method. It is essential this method is a high resolution one. The results of
modeling some problems are represented.
Proceedings of XI European Conference on the Mathematics of Oil Recovery, A35, Bergen, Norway, September 2008
26.
P. Yu. Tomin
- KIAM, Russian Academy of Sciences , 2011
In the paper, an effective multiscale multigrid algorithm of solving multiphase flow problems was developed to construct effective relative permeabilities for anisotropic media of complex structure. The method combines the Fedorenko finite superelement method and the Samarskii support operators meth...
In the paper, an effective multiscale multigrid algorithm of solving multiphase flow problems was developed to construct effective relative permeabilities for anisotropic media of complex structure. The method combines the Fedorenko finite superelement method and the Samarskii support operators method and belongs to the high-resolution methods class. The numerical simulation was carried out both for random distribution of permeability and for media with an arbitrary fractures configuration. The anisotropy of the relative permeabilities is shown as a consequence of the anisotropy of absolute permeability.
Preprint, KIAM, Russian Academy of Sciences, N. 14, 2011
27.
P. Yu. Tomin
- KIAM, Russian Academy of Sciences , 2011
Real porous media heterogeneities scales differ by the order of magnitude and have significant influence on filtration flows. Laboratory measurements of rock properties are carried out using core samples of limited size, which may lead to inaccuracies in full-scale reservoir simulation. In the paper...
Real porous media heterogeneities scales differ by the order of magnitude and have significant influence on filtration flows. Laboratory measurements of rock properties are carried out using core samples of limited size, which may lead to inaccuracies in full-scale reservoir simulation. In the paper, the correctness evaluation criterion for this procedure is investigated using representative elementary volume (REV) concept. It is shown that REV must contain significant number of medium features both for stochastic and deterministic permeability distribution cases. Study of the REV for a two-phase system has revealed that the single-phase case consideration is sufficient for REV sizes estimation. Using the modern volume tomography methods, one can obtain 3D parameters distribution, which allows to use the criteria suggested and to complement the results of commonly used laboratory measurements.
Preprint, KIAM, Russian Academy of Sciences, N. 13, 2011
28.
P. Yu. Tomin
- KIAM, Russian Academy of Sciences , 2010
In the paper, studying of two-phase flows in media with features related to presence of fractured zones is carried out using numerical simulation. It is shown that in case of coincident production rates the spatial distribution of fluid flows may be significantly different. Tracer tracking allows ob...
In the paper, studying of two-phase flows in media with features related to presence of fractured zones is carried out using numerical simulation. It is shown that in case of coincident production rates the spatial distribution of fluid flows may be significantly different. Tracer tracking allows obtaining additional information about the inter-well media structure. The results demonstrate importance of such a studying for reservoirs with complex geological structure and usage of derived information in the history matching procedure.
Preprint, KIAM, Russian Academy of Sciences, N. 86, 2010
29.
M. Yu. Zaslavsky, P. Yu. Tomin
- KIAM, Russian Academy of Sciences , 2010
In the paper, study of some typical situations related to presence of fractured zones in the inter-well media is carried out using numerical simulation of multiphase flows. Such zones can be revealed particularly by interpretation of the electrical prospecting measurement data. With some degree of a...
In the paper, study of some typical situations related to presence of fractured zones in the inter-well media is carried out using numerical simulation of multiphase flows. Such zones can be revealed particularly by interpretation of the electrical prospecting measurement data. With some degree of accuracy, it allows to determine the location and the orientation of the fracturing. It is known that fracturing has sufficient influence on the distribution of fluids in the reservoir in general and, in particular, on the production rates. Both these facts are confirmed by numerical simulations performed in this paper. Several approaches of fracture modeling are considered. These methods allow to avoid direct numerical fractures simulation associated with several difficulties due to a strong grid cells sizes heterogeneity and a permeability contrast. The comparison results demonstrate sufficient correspondence between methods concerned. The issue of model adjustment using measurement data is discussed. The methods described can be applied for the simulation of the real reservoirs.
Preprint, KIAM, Russian Academy of Sciences, N. 45, 2010
30.
D. Yu. Maksimov, N. A. Marchenko, V. A. Semiletov, P. Yu. Tomin
- KIAM, Russian Academy of Sciences , 2010
The paper discusses some typical issues appearing in numerical simulation of multicomponent multiphase flow problems using fully implicit time approximation schemes. Some approaches improving nonlinear iterations convergence are described. The results of testing using Society of Petroleum Engineers ...
The paper discusses some typical issues appearing in numerical simulation of multicomponent multiphase flow problems using fully implicit time approximation schemes. Some approaches improving nonlinear iterations convergence are described. The results of testing using Society of Petroleum Engineers test cases are presented.
Preprint, KIAM, Russian Academy of Sciences, N. 44, 2010