Simulation Of Filtration Process Research Articles

Gas reserves calculation based on the results of reservoir pressure distribution modeling

The object of this study is the gas-bearing layer B-26 of the Zakhidne-Radchenkivsʹke gas condensate field (Ukraine). A bottleneck in the process of exploration and experimental and industrial operation of the Zakhidne-Radchenkivsʹke gas condensate field was the ambiguous data on extractive reserves (values that were calculated by different authors range from 14 thousand to 424 million m3). At present, the field is mothballed, which is why the use of a new approach to calculating the initial gas reserves could be useful for deciding to start developing a single productive layer B-26. During the study, such theoretical research methods were used as the system analysis of the information used, numerical modeling based on the combined finite-element-difference method, the methods of visual representation of the information received, as well as analytical methods. The method of calculating gas reserves proposed in this work combines a volumetric method and the simulation of filtration processes using a combined finite-element-difference method. The latter makes it possible to take into consideration the structure of the reservoir, which is heterogeneous in terms of permeability, and to adequately, at the quantitative level, to describe the distribution of non-stationary reservoir pressure around the extractive well. By applying an analytical formula based on the values of average reservoir and downhole pressures, the radii of the well's feed circuit at different stages of the reservoir development have been calculated. Thus, the active area (and volume) of the reservoir can be determined, according to which the extractive reserves of the deposit are calculated. The mining reserves of the Zakhidne-Radchenkivsʹke field, estimated in this way, amount to 174 million m3 of gas. The method for calculating reserves proposed in this study could prove useful for deciding on the further development of the Zakhidne-Radchenkivsʹke gas condensate field. Combining the volumetric method with the results of modeling filtration processes is an operational method for calculating the reserves of the reservoir, opened by one mining well. In this case, the application of the combined finite-element-difference method makes it possible to take into consideration the complex heterogeneous structure of the reservoir and predict the distribution of reservoir nonstationary pressures around the extractive well. The current study that used the Zakhidne-Radchenkivsʹke gas condensate field in Ukraine as an example is interesting when calculating the reserves of layers of complex structure all over the world, whereby the productive reservoir is opened by a single mining well.

SEM Microstructural Studies of Oil-Saturated Rocks in the Simulation of Filtration Processes

SEM Microstructural Studies of Oil-Saturated Rocks in the Simulation of Filtration Processes

Numerical Simulation of Filtration Process of Long Fiber Bundle Filter

on the base of dynamic model of long fiber high efficient filter, simulation model of filtration process of long fiber high efficient filter was established. Fluid simulation software was utilized to do the numerical simulation of filtration process of long fiber high efficient filter and the curve of filter effluent concentration, porosity distribution along the height of filter layer and filtering precision vary with time was obtained. The simulation results showed that simulation model can be used to measure and calculate the filtering precision, effective filtration cycle and filter effluent concentration of long fiber bundles filter under the conditions of different initial filter speed, other fiber diameter, and various fiber bundles loading quantity.

Simulation of filtration processes in deformable media

A Lagrangian solver to realistically model large, non-spherical dirt particles and their behavior in the vicinity of deformable filtration fibres has been programmed. While this paper focuses on the realization of interaction effects and result verification, a related article, concerning basic solver concepts as well as drag force implementations, has been published, [3]. A digitally reconstructed, deformable filter fibre structure gives the framework for all particle interactions with their surroundings. Particle–fibre deposition effects, are being modelled in detail. Fibre forces, that act on a particle and confine it, can be applied on a user-defined basis. The collision module handles particle–particle interactions, detects exact particlesurface impact locations and calculates translational- as well as rotational collision effects. In order to validate Computational Fluid Dynamics results, like filter fibre efficiency and particle penetration depth, a semi-analytical verification approach for simplified fibre geometries has been devised. In addition to that, extensive, experimental test runs are currently conducted.

Simulation of filtration processes in deformable media

A Lagrangian solver to realistically model large, non-spherical dirt particles and their behaviour in the vicinity of deformable filtration fibres has been programmed. While this paper focuses on basic solver concepts as well as drag force implementations, a related article, concerning the realisation of interaction effects and result verification, is forthcoming, [3]. Within the framework of a digitally reconstructed, deformable filter fibre geometry, the solver traces the governing multi physics effects down to the occurrence of single force- and torque vectors. In order to go from an initial, spherical particle model [2], to a more sophisticated, non-spherical model, the capabilities of a Six Degrees of Freedom Solver have been included in the programming. A panel model and the concept of satellite help points are used to handle particles that encompass several fluid calculation cells. An innovative drag force implementation allows the consideration of rotational- and shear flow effects on particle motion. Results are evaluated and compared to an analytical formulation.

MATHEMATICAL MODELLING OF WATER FLOW IN PAPER PRESS MACHINES

In this work, mathematical models of wet pressing of paper are studied. Our goal is to compare two mathematical models, which are developed for simulation of filtration processes in paper press machines. Both models were obtained from the same general model of the compressible porous medium, but different assumptions were used. Modified models are developed that describe water losses at the boundaries of the porous layer and the importance of this factor is investigated. Numerical algorithms are developed for simulation of the liquid movement in the deformable porous media. It is proved that the discrete problem is stable if the time step t satisfies the inequality τ ≤ Ch2 . It follows from the stability analysis that the mathematical model describes an ill-posed problem for some values of parameters used in simulations.

Mathematical modelling of water flow in paper press machines 1

Abstract In this work, mathematical models of wet pressing of paper are studied. Our goal is to compare two mathematical models, which are developed for simulation of filtration processes in paper press machines. Both models were obtained from the same general model of the compressible porous medium, but different assumptions were used. Modified models are developed that describe water losses at the boundaries of the porous layer and the importance of this factor is investigated. Numerical algorithms are developed for simulation of the liquid movement in the deformable porous media. It is proved that the discrete problem is stable if the time step t satisfies the inequality τ ≤ Ch2 . It follows from the stability analysis that the mathematical model describes an ill‐posed problem for some values of parameters used in simulations.