An Irregular Lattice Pore Network Model Construction Algorithm

Document Type : Research Article

Authors

Faculty of Chemical and Petroleum Engineering, Sharif University of Technology, Tehran, I.R. IRAN

Abstract

Pore network modeling uses a network of pores connected by throats to model the void space of a porous medium and tries to predict its various characteristics during multiphase flow of various fluids. In most cases, a non-realistic regular lattice of pores is used to model the characteristics of a porous medium. Although some methodologies for extracting geologically realistic irregular networks from pore space images have been presented, these methods require some experimental data which are either unavailable or costly to obtain. 3-dimensional image or 2-dimensional SEM images are among these types of data. In this paper a new irregular lattice algorithm for the construction of these models is proposed. Furthermore, based on some statistical and analytical studies, a fast and reliable procedure is suggested to find the optimum system parameters which may lead to the construction of the smallest cubic irregular pore network model that can be a representative of the target porous medium. The performance of the proposed method has been studied through the construction of an irregular lattice model representing a core plug based on its available experimental data. This study shows that the obtained model can reliably predict the network construction parameters.

Keywords


[1] Bryant S., Blunt M.J., Prediction of Relative Permeability in Simple Porous Media, Physical Review A, 46, p. 2004 (1992).
[2] Øren PE, Bakke S, Arntzen OJ. Extending Predictive Capabilities to Network Models, SPE J, 3, p. 324 (1998).
[3] FattI., The Network Model of Porous MediaI.Capillary Pressure Characteristics, Trans AIME, 207, p. 144 (1956).
[4] FattI., The Network Model of Porous Media II. Dynamic Properties of a Single Size Tube Network, Trans AIME, 207, p. 160 (1956).
[5] FattI., The Network Model of Porous Media III. Dynamic Properties of Networks with Tube Radius Distribution, Trans AIME, 207, p. 164 (1956).
[6] ChatzisI., Dullien F.A.L., Modeling Pore Structures by 2-D and 3-D Networks with Application to Sandstones, Journal of Canadian Petroleum Technology, 16, p. 97 (1977).
[7] Wilkinson D., J. F. Willemsen, Invasion Percolation - a New Form of Percolation Theory, Journal of Physics A: Mathematical and General, 16, p. 3365 (1983).
[8] Dixit AB, McDougall SR, SorbieKS. A Pore-Level Investigation of Relative-Permeability Hysteresis in Water-Wet Systems, SPE J, 3, p. 115 (1998).
[9] Dixit AB, McDougall SR, SorbieKS, Buckley JS., Pore-Scale Modeling of Wettability Effects and Their Influence on Oil Recovery, SPE Reservoir Evaluation Eng, 2, p. 25 (1999).
[10] Fenwick DH, Blunt MJ. Three-dimensional Modeling of Three-Phase Imbibition and Drainage, Adv Water Resources, 21(2), p. 121(1998).
[11] Koplik J., Creeping Flow in Two-Dimensional Networks, J Fluid Mech, 119, p. 219 (1982).
[12] Blunt M, King P., Macroscopic Parameters from Simulations of Pore Scale Flow, Phys Rev A, 42(8),
p. 4780 (1990).
[13] Blunt M, King P., Relative Permeabilities from Two- and Three-Dimensional Pore-Scale Network Modeling. Transport Porous Med, 6, p. 407 (1991).
[14] Lowry MI, Miller CT., Pore-Scale Modeling of Nonwetting-Phase Residual in Porous Media, Water Resources Res, 31(3), p. 455 (1995).
[15] Mogensen, K. and Stenby, E.H., A Dynamic Pore-Scale Model of Imbibition, paper SPE 39658, presented at the 1998 SPE/DOE Improved Oil Recovery Symposium, Tulsa, Oklahoma, 19-22 (1998).