Three-dimensional simulation of wormhole propagation in fractured-vuggy carbonate rocks during acidization
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Abstract
Acidization is a widely used stimulation technique for carbonate reservoirs aimed at removing formation damage, and if successful, can result in the creation of wormholes of specific lengths and conductivities around the wellbore. The formation of wormholes depends on the injection rate for a particular acid-mineral system and can be predicted through numerical simulations of the reactive phenomenon during acidization. In this paper, the commonly used two-scale continuum model is enhanced to encompass fractured-vuggy porous media. The fractures are characterized by a pseudo-fracture model, while vugs are represented by a cluster of anomalous matrices with high porosity. Moreover, a method for generating random pore-fracture-vuggy models is proposed. The governing equations are discretized by the finite volume method and are solved under three-dimensional linear and radial conditions. Sensitivity analysis of dissolution dynamics with respect to fracture and vug parameters is performed. The simulation results indicate that both fractures and vugs significantly impact wormhole development. Except for fractures perpendicular to the acid flow direction, fractures in other directions play a crucial role in determining the direction of wormhole growth.
Document Type: Original article
Cited as: Liu, P., Kong, X., Feng, G., Zhang, K., Sun, S., Yao, J. Three-dimensional simulation of wormhole propagation in fractured-vuggy carbonate rocks during acidization. Advances in Geo-Energy Research, 2023, 7(3): 199-210. https://doi.org/10.46690/ager.2023.03.06
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Alarji, H., Clark, S., Regenauer-Lieb, K. Wormholes effect in carbonate acid enhanced oil recovery methods. Advances in Geo-Energy Research, 2022, 6(6): 492-501.
Ali, M., Ziauddin, M. Carbonate acidizing: A mechanistic model for wormhole growth in linear and radial flow. Journal of Petroleum Science and Engineering, 2020, 186: 106776.
Aljawad, M. S., Aboluhom, H., Schwalbert, M. P., et al. Temperature impact on linear and radial wormhole propagation in limestone, dolomite, and mixed mineralogy. Journal of Natural Gas Science and Engineering, 2021, 93: 104031.
Aljawad, M. S., Aljulaih, H., Mahmoud, M., et al. Integration of field, laboratory, and modeling aspects of acid fracturing: A comprehensive review. Journal of Petroleum Science and Engineering, 2019, 181: 106158.
Budek, A., Szymczak, P. Network models of dissolution of porous media. Physical Review E, 2012, 86(5): 056318. Chen, Y., Ma, G., Li, T., et al. Simulation of wormhole propagation in fractured carbonate rocks with unified pipe-network method. Computers and Geotechnics, 2018, 98: 58-68.
Daccord, G., Lenormand, R., Liétard, O. Chemical dissolution of a porous medium by a reactive fluid—I. Model for the “wormholing” phenomenon. Chemical Engineering Science, 1993, 48(1): 169-178.
dos Santos Lucas, C. R., Neyra, J. R., Araújo, E. A., et al. Carbonate acidizing-A review on influencing parameters of wormholes formation. Journal of Petroleum Science and Engineering, 2023, 220: 111168.
Fredd, C. N., Fogler, H. S. Influence of transport and reaction on wormhole formation in porous media. AIChE Journal, 1998, 44(9): 1933-1949.
Fredd, C. N., Fogler, H. S. Optimum conditions for wormhole formation in carbonate porous media: Influence of transport and reaction. SPE Journal, 1999, 4(3): 196-205.
Furui, K., Abe, T., Watanabe, T., et al. Phase-field modeling of wormhole formation and growth in carbonate matrix acidizing. Journal of Petroleum Science and Engineering, 2022, 209: 109866.
Furui, K., Burton, R. C., Burkhead, D. W., et al. A comprehensive model of high-rate matrix-acid stimulation for long horizontal wells in carbonate reservoirs: Part I-scaling up core-level acid wormholing to field treatments. SPE Journal, 2012, 17(1): 271-279.
Golfier, F., Zarcone, C., Bazin, B., et al. On the ability of a Darcy-scale model to capture wormhole formation during the dissolution of a porous medium. Journal of Fluid Mechanics, 2002, 457: 213-254.
Hoefner, M., Fogler, H. S. Pore evolution and channel formation during flow and reaction in porous media. AIChE Journal, 1988, 34(1): 45-54.
Huang, Z., Xing, H., Zhou, X., et al. Numerical study of vug effects on acid-rock reactive flow in carbonate reservoirs. Advances in Geo-Energy Research, 2020, 4(4): 448-459.
Izgec, O., Zhu, D., Hill, A. D. Numerical and experimental investigation of acid wormholing during acidization of vuggy carbonate rocks. Journal of Petroleum Science and Engineering, 2010, 74(1-2): 51-66.
Jia, C., Huang, Z., Sepehrnoori, K., et al. Modification of two-scale continuum model and numerical studies for carbonate matrix acidizing. Journal of Petroleum Science and Engineering, 2021a, 197: 107972.
Jia, C., Sepehrnoori, K., Zhang, H., et al. Numerical studies and analyses on the acidizing process in vug carbonate rocks. Frontiers in Earth Science, 2021b, 9: 712566.
Kalia, N., Balakotaiah, V. Modeling and analysis of wormhole formation in reactive dissolution of carbonate rocks. Chemical Engineering Science, 2007, 62(4): 919-928.
Kalia, N., Balakotaiah, V. Effect of medium heterogeneities on reactive dissolution of carbonates. Chemical Engineering Science, 2009, 64(2): 376-390.
Kalia, N., Balakotaiah, V. Wormholing in perforated completions. Paper SPE 127347 Presented at the SPE International Symposium and Exhibition on Formation Damage Control, Lafayette, USA, 10-12 February, 2010.
Kardooni, M. M., Jamshidi, S. Calculating wormhole propagation and skin factor in carbonate reservoirs during directional wells acidizing. Journal of Petroleum Research, 2022, 32: 64-80.
Khoei, A. R., Sichani, A. S., Hosseini, N. Modeling of reactive acid transport in fractured porous media with the Extended-FEM based on Darcy-Brinkman-Forchheimer framework. Computers and Geotechnics, 2020, 128: 103778.
Kiani, S., Jafari, S., Apourvari, S. N., et al. Simulation study of wormhole formation and propagation during matrix acidizing of carbonate reservoirs using a novel in-situ generated hydrochloric acid. Advances in Geo-Energy Research, 2021, 5(1): 64-74.
Li, Y., Deng, Q., Zhao, J., et al. Simulation and analysis of matrix stimulation by diverting acid system considering temperature field. Journal of Petroleum Science and Engineering, 2018, 170: 932-944.
Li, Y., Liao, Y., Zhao, J., et al. Simulation and analysis of wormhole formation in carbonate rocks considering heat transmission process. Journal of Natural Gas Science and Engineering, 2017, 42: 120-132.
Liang, Y. D., Barsky, B. A. A new concept and method for line clipping. ACM Transactions on Graphics (TOG), 1984, 3(1): 1-22.
Liu, L., Huang, Z., Yao, J., et al. An efficient hybrid model for 3D complex fractured vuggy reservoir simulation. SPE Journal, 2020, 25(2): 907-924.
Liu, P., Yan, X., Yao, J., et al. Modeling and analysis of the acidizing process in carbonate rocks using a two-phase thermal-hydrologic-chemical coupled model. Chemical Engineering Science, 2019, 207: 215-234.
Liu, P., Yao, J., Couples, G. D., et al. Numerical modelling and analysis of reactive flow and wormhole formation in fractured carbonate rocks. Chemical Engineering Science, 2017a, 172: 143-157.
Liu, P., Yao, J., Couples, G. D., et al. Modelling and simulation of wormhole formation during acidization of fractured carbonate rocks. Journal of Petroleum Science and Engineering, 2017b, 154: 284-301.
Liu, M., Zhang, S., Mou, J. Effect of normally distributed porosities on dissolution pattern in carbonate acidizing. Journal of Petroleum Science and Engineering, 2012, 94: 28-39.
Liu, M., Zhang, S., Mou, J., et al. Wormhole propagation behavior under reservoir condition in carbonate acidizing. Transport in Porous Media, 2013, 96: 203-220.
Lohrasb, S., Junin, R. Pore volumes to breakthrough estimation in carbonate acidizing with hydrochloric acid by using an analytical derivation method. Petroleum, 2020, 6(4): 362-367.
Maheshwari, P., Balakotaiah, V. Comparison of carbonate HCl acidizing experiments with 3D simulations. SPE Production & Operations, 2013, 28(4): 402-413.
Maheshwari, P., Maxey, J., Balakotaiah, V. Reactive-dissolution modeling and experimental comparison of wormhole formation in carbonates with gelled and emulsified acids. SPE Production & Operations, 2016, 31(2): 103-119.
Panga, M. K., Ziauddin, M., Balakotaiah, V. Two-scale continuum model for simulation of wormholes in carbonate acidization. AIChE Journal, 2005, 51(12): 3231-3248.
Qi, N., Chen, G., Liang, C., et al. Numerical simulation and analysis of the influence of fracture geometry on wormhole propagation in carbonate reservoirs. Chemical Engineering Science, 2019, 198: 124-143.
Rafiei, Y., Motie, M. Improved reservoir characterization by employing hydraulic flow unit classification in one of Iranian carbonate reservoirs. Advances in Geo-Energy Research, 2019, 3(3): 277-286.
Ratnakar, R. R., Kalia, N., Balakotaiah, V. Carbonate matrix acidizing with gelled acids: An experiment-based modeling study. Paper SPE 154936 Presented at the SPE International Production and Operations Conference & Exhibition, Doha, Qatar, 14-16 May, 2012.
Safari, R., Smith, C., Fragachan, F. Improved recovery of carbonate reservoir by optimizing acidizing strategy; coupled wellbore, reservoir, and geomechanical analysis. Paper SPE 188683 Presented at the Abu Dhabi International Petroleum Exhibition & Conference, Abu Dhabi, UAE, 13-16 November, 2017.
Schwalbert, M. P., Zhu, D., Hill, A. D. Anisotropic-wormhole-network generation in carbonate acidizing and wormhole-model analysis through averaged-continuum simulations. SPE Production & Operations, 2019, 34(1): 90-108.
Seagraves, A. N., Smart, M. E., Ziauddin, M. E. Fundamental wormhole characteristics in acid stimulation of perforated carbonates. Paper SPE 189506 Presented at the SPE International Conference and Exhibition on Formation Damage Control, Lafayette, Louisiana, USA, 7-9 February, 2018.
Tansey, J., Balhoff, M. T. Pore network modeling of reactive transport and dissolution in porous media. Transport in Porous Media, 2016, 113: 303-327.
Wang, L., Mou, J., Mo, S., et al. Modeling matrix acidizing in naturally fractured carbonate reservoirs. Journal of Petroleum Science Engineering, 2020, 186: 106685.
Yao, J., Huang, Z. Q. Fractured Vuggy Carbonate Reservoir Simulation. Berlin, German, Springer, 2017.
Yoo, H., Nguyen, T., Lee, J. Improved wormhole prediction model considering propagation characteristics of wormhole head in carbonate acidizing. Journal of Petroleum Science and Engineering, 2022, 216: 110807.
Yoon, H., Kang, Q., Valocchi, A. J. Lattice Boltzmann-based approaches for pore-scale reactive transport. Reviews in Mineralogy and Geochemistry, 2015, 80(1): 393-431.
Yuan, T., Wei, C., Zhang, C. S., et al. A numerical simulator for modeling the coupling processes of subsurface fluid flow and reactive transport processes in fractured carbonate rocks. Water, 2019, 11(10): 1957.
DOI: https://doi.org/10.46690/ager.2023.03.06
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