Simulation Study of Fluid Flow and Estimation of a Heterogeneous Porous Media Properties Using Lattice Gas Automata Method

Dedy Kristanto, Windyanesha Paradhita

Abstract


Most models used in reservoir simulation studies are on the scale of meters to hundreds of meters. However, increasing resolution in geological measurements results in finer geological models. Simulations study of particle movements provide an alternative to conventional reservoir simulation by allowing the study of microscopic and/or macroscopic fluid flow, which is close to the scale of geological models. In this paper, the FHP-II (Frisch, Hasslacher and Pomeau - FHP) model of lattice gas automata were developed to study fluid flow in order to estimate the properties of heterogeneous porous media. Heterogeneity simulated by placing solid obstacles randomly in a two-dimensional test volume. Properties of the heterogeneous porous media were estimated by the shape, size, number of the obstacles and by the distribution of the obstacles within the volume. Results of the effects of grain sizes and shapes, and its distribution in the porous media on the tortuosity, effective porosity, permeability and displacement efficiency were obtained. An investigation of fluid flow and comparison with laboratory experiment were also presented. Reasonably good agreement between the lattice gas automata simulation and laboratory experiment results were achieved.

Full Text:

PDF

References


Blunt, M. J. et al.: “Pore-level Modeling of Wetting”, Physical Review A, 46, (1995), p.7680-7699.

Blunt, M. J.: “Physically Based Network Modeling of Multiphase Flow in Intermediate-Wet Porous Media”, Journal of Petroleum Science and Engineering, 14, (1997), p.1-14.

Collins, R. E.: Flow of Fluids through Porous Material, PennWell Books, Tulsa-Oklahoma.: PennWell Publishing Co., (1976), p.3-26; and 139-149.

Cole, F. W.: Reservoir Engineering Manual, Houston-Texas.: Gulf Publishing Co., (1969), p.3-39.

Dullien, F.A.L.: Porous Media: Fluid Transport and Pore Structure, Academic Press Inc., New York (1979).

Hardy, J. et al.: “Time Evolution of Two-Dimensional Model System I: Invariant States and Time Correlation Functions”, Journal of Mathematical Physics, 14, (1973), p.1746-1759.

Hardy, J. et al.:“Molecular Dynamics of a Classical Lattice Gas: Transport Properties and Time Correlation Functions”, Physics Review A, 13, (1976), p.1949-1961.

d' Humières, D., and Lallemand, P.: “Lattice Gas Automata for Fluid Mechanics”, Physica A, 140, (1986), p.326-335.

Frisch, U. et al.: “Lattice-Gas Automata for the Navier-Stokes Equation” , Physical Review Letters, 56, (1986), p.1505-1508.

Frisch, U. et al.: “Lattice Gas Hydrodynamics in Two and Three Dimensions”, Complex Systems, 1, (1987), p.649-707.

Gao, Y.: “Effect of Structure on Petrophysical Properties of Porous Media.” The University of Texas, Austin: Ph.D. dissertation, (1994).

Kadanoff, L. P. et al.: “From Automata to Fluid Flow: Comparison of Simulation and Theory”, Physical Review A, 40, (1989), p.4527-4541.

Koponen, A. et al.: “Tortuos Flow in Porous Media”, Physical Review E, 54, (1996), p.406-410.

Koponen, A. et al.: “Permeability and Porosity of Porous Media”, Physical Review E, 56, (1997), p.3319-3325.

Kristanto, D. and Awang, M.: “The Application of Lattice Gas Automata to Study Fluid Flow in a Porous Media”, paper IPA01-E-006 presented at the 28th Indonesian Petroleum Association (IPA) Annual Convention and Exhibition 2002, Jakarta, Indonesia, February 26-28.

Kristanto, D, and Awang, M.: “Estimation of Surface Tension for Two Immiscible Fluids Using Lattice Gas Automata”, SPE 84892, Society of Petroleum Engineers International on Improved Oil Recovery Conference in Asia Pacific (SPE-IIORC) 2003, Kuala Lumpur, Malaysia, 20-21 October.

Larson, R. G. et al.: “Displacement of Residual Nonwetting Fluid from Porous Media”, Chemical Engineering Science, 36, (1981), p.75-85.

Lee, S. H., and Chung, E. Y.: “A Cellular Automaton Model for Flow in a Reservoir”, SPE Advanced Technology Series, 1, (1993), p.52-59.

Orme, M.: “Lattice Gas Methods: Fluid Dynamic from Particle Collisions”, Air Filtration Review, 17, (1996), p.41-48.

Oren, P. E., and Pinczewski, W. V.: “Fluid Distribution and Pore-Scale Displacement Mechanisms in Drainage Dominated Three-phase Flow”, Transport in Porous Media, 20, (1995), p.105-133.

Rothman, D. H.: “Cellular-automaton Fluids: A Model for Flow in Porous Media”, Geophysics, 53, (1988), p.509-518.

Rothman, D. H., and Zaleski, S.: Lattice Gas Cellular Automata: Simple Models of Complex Hydrodynamics, London, UK.: Cambridge University Press, (1997), p.12-60; 151-165; 203-232.

Smith, C. R.: Mechanics of Secondary Oil Recovery, Hutington-New York.: Robert E. Krieger Publishing Co., (1975), p. 36-72.

Sandrea, R., and Nielsen, R.: Dynamics of Petroleum Reservoirs Under Gas Injection, Houston, Texas.: Gulf Publishing Company, (1994), p.58-92.

Wolfram, S.: “Cellular Automaton Fluids 1: Basic Theory”, Journal of Statistical Physics, 45, (1986), p.471-529.

Zanetti, G.: “Hydrodynamics of Lattice-Gas Automata.” Physical Review A, 40, (1989), p.1539-1548.

Zaleski, S., and Appert, C.: “Lattice Gas with a Liquid-Gas Transition”, Physical Review Letters, 64, (1990), p.1-4.




DOI: https://doi.org/10.31315/jpgt.v1i2.3856

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Slot gacor maxwin

judi bola

slot gacor slot gacor hari ini slot gacor 2025 demo slot pg slot gacor slot gacor