ABSTRACT The two dimensional Lattice Gas Automation (LGA) was applied to simulate the current flow in saturated digital rock for revealing the effects of micro structure and saturation on the electrical transport properties. The digital rock involved in this research can be constructed by the pile of matrix grain with radius obtained from the SEM images of rock sections. We further investigate the non-Archie phenomenon with the LGA and compare micro-scale numerical modeling with laboratory measurements. Based on results, a more general model has been developed for reservoir evaluation of saturation with higher accuracy in oilfield application. The calculations from the new equation show very good agreement with laboratory measurements and published data on sandstone samples.
Cite this paper
nullW. Yue, G. Tao, X. Zheng and N. Luo, "Numerical Experiments of Pore Scale for Electrical Properties of Saturated Digital Rock," International Journal of Geosciences, Vol. 2 No. 2, 2011, pp. 148-154. doi: 10.4236/ijg.2011.22015.
 G. E. Archie, “The Electrical Resistivity Log as an Aid in Determining some Reservoir Characteristics,” Transaction of American Institute of Mining, Metallurgical, and Petroleum Engineers, Vol. 146, 1942, pp. 54-62.
 X. D. Jing, A. Gillesple and B. M. Trewin, “Resistivity Index from Non-Equilibrium Measurements Using Detailed In-situ Saturation Monitoring,” SPE Offshore European Conference, Aberdeen, 7-10 September 1993, pp. 456-464.
 P. F. Worthington, “Quality Assurance of the Evaluation of Hydrocarbon Saturation from Resistivity Data,” SPE Annual Technical Conference and Exhibition, San Antonio, 24-27 September 2006. pp. 1-16.
 N. Li, “Generalised Resistivity-Porosity and Resistivity- -Oil Saturation Relationships,” Chinese Journal of Geophysics, in Chinese, Vol. 32, No. 5, 1989, pp. 580-591.
 G. K. Batchelor, “Transport Properties of Two-Phase Materials with Random Structure,” Annual Review of Fluid Mechanics, Vol. 6, 1974, pp. 227-255.
 D. P. Yale, “Network Modeling of Flow Storage and Deformation in Porous Rocks,” Ph.D. Thesis, Stanford University, Palo Alto, 1984.
 G. Tao, “Elastic and Transport Properties of some Sandstones,” Ph.D. Thesis, University of London, London, 1992.
 H. N. Man and X. D. Jing, “Network Modeling of Strong and Intermediate Wettability on Electrical Resistivity and Capillary Pressure,” Advances in Water Resource, Vol. 24, No. 3-4, 2001, pp. 345-363.
 P. E. Oren and S. Bakke, “Process Based Reconstruction of Sandstones and Prediction of Transport Properties,” Transport in Porous Media, Vol. 46, No. 2-3, 2002 pp. 311-343. doi:10.1023/A:1015031122338
 U. Frisch, B. Hasslacher and Y. Pomeau, “Lattice Gas Automation for the Navier-Stokes Equation,” Physical Review Letters, Vol. 56, No. 14, 1986, pp. 1505-1507.
 D. Rothman, “Cellular Automation Fluids: A Model for Flow in Porous Media,” Geophysics, Vol. 53, No. 4, 1988, pp. 509-518. doi:10.1190/1.1442482
 J. X. Hu and Y. M. Li, “Modeling Research for Simulating Seismic Wave Propagation in Solid by Cellular Automata,” Chinese Journal of Geophysics, in Chinese, Vol. 40, No. 1, 1997, pp. 120-125.
 Z. L. Wang and Y. M. Li, “Parallel Algorithm for Simulating Seismic Wave Propagation by Cellular Automata,” Chinese Journal of Geophysics, in Chinese, Vol. 42, No. 3, 1999, pp. 410-415.
 J. Hardy, “Time Evolution of a Two-Dimentional Model System,” Journal of Mathematical Physics, Vol. 14, No. 12, 1973, pp. 1746-1759. doi:10.1063/1.1666248
 M. Küntz, J. C. Mareschal, et al., “Numerical Estimation of Effective Conductivity of Heterogeneous Media with a 2D Cellular Automaton Fluid,” Geophysical Research Letters, Vol. 24, No. 22, 1997, pp. 2865-2868.
 O. Hiroshi and M. J. Blunt, “Pore Space Reconstruction Using Multiple-Point Statistics,” Journal of Petroleum Science and Engineering, Vol. 46, No. 1-2, 2005, pp. 121-137. doi:10.1016/j.petrol.2004.08.002
 M. Pilotti, “Reconstruction of Clastic Porous Media,” Transport in Porous Media, Vol. 41, No. 3, 2000, pp. 359-364. doi:10.1023/A:1006696301805
 K. M. Diederix, et al., “Anomalous Relationships between Resistivity Index and Water Saturations in the Rotliegend Sandstone,” SPWLA 23rd Annual Logging Symposium, Corpus Christi, 6-9 July 1982, pp. 1-16.
 X. D. Li, J. Yu and M. Li, “Theoretic Research of Reservoir Rock with Non-Archie Characteristics,” Oil-Gas Field Surface Engineering, in Chinese, Vol. 27, No. 1, 2008, pp. 32-33.
 A. U. Al-Kaabi, K. Mimoune and H. Y. Al-Yousef, “Effect of Hysteresis on the Archie Saturation Exponent,” SPE Middle East Oil Conference and Exhibition, Manama, 15-18 March 1997, pp. 497-503
 D. C. Herrick and W. D. Kennedy, “Electrical Efficiency—A Pore Geometric Theory for Interpreting the Electrical Properties of Reservoir Rocks,” Geophysics, Vol. 59, No. 6, 1994, pp. 918-927.
 M. E. Kutay, et al., “Computational and Experimental Evaluation of Hydraulic Conductivity Anisotropy in Hot- -Mix Asphalt,” International Journal of Pavement Engineering, Vol. 8, No. 1, 2007, pp. 29-43.