A Robust Model To Simulate Dolomite-Matrix Acidizing
- Mahmoud T. Ali (Texas A&M University) | Hisham A. Nasr-El-Din (Texas A&M University)
- Document ID
- Society of Petroleum Engineers
- SPE Production & Operations
- Publication Date
- February 2019
- Document Type
- Journal Paper
- 109 - 129
- 2019.Society of Petroleum Engineers
- dolomite, acidizing, two-scale model, coreflood
- 12 in the last 30 days
- 512 since 2007
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The two-scale model for simulating carbonate acidizing has gained substantial attention recently. Five studies dealt with matching experimental data studying regular acid. Four studies considered limestone samples, while the fifth examined one dolomite core with face dissolution. The previous work only considered the pore volume (PV) to breakthrough (PVBT) to match experimental results. Researchers assumed linear kinetics for hydrochloric acid (HCl) carbonate reaction and relied on changing Carman-Kozeny exponents to match experimental data.
Unlike previous studies, experiments were performed on 6-in.-long and 1.5-in.-diameter vuggy-dolomite cores at two sets of temperatures (150 and 200°F) and acid concentrations (15 and 20 wt% HCl). Computed tomography (CT) was used to scan the cores when dry, wet, and after acidizing. Porosity distribution calculated from the dry and wet scans was used to build a rectangular model with the cylindrical core inscribed inside. Nonlinear reaction kinetics were applied. The acid-reaction rate and diffusion coefficient were modified on the basis of X-ray-fluorescence (XRF) results and effluent chemical analysis. Wormhole 3D shape and experimental PVBT were used to assess the quality of model results.
The tuned model was used to simulate a hypothetical 18-in. core as well as large-scale radial experiments to assess its prediction capabilities, and finally the model was used to predict the dolomite-acidizing performance under field conditions.
The simulation runs emphasize that the exclusion of the wormhole shape and branching from the matching process results in an unrealistic match. It is important to simulate the cylindrical shape of the core using the actual porosity distribution to capture the wormhole growth, which is increasingly important when the wormhole propagates near the core perimeter. The present study highlights that matching parameters using experimental data yields a trustworthy model that matches both PVBT and wormhole spatial propagation. Accordingly, there is no need for excessively changing the Carman-Kozeny correlation exponents to match the dolomite-acidizing experiments.
The current model accurately matches the wormhole propagation inside the core along with the PVBT. This model can be tuned using a few acidizing experiments and then can be used to generate an acid-efficiency curve with a high degree of confidence, thus avoiding the extra experimental cost.
The current model was able to match two sets of experiments and follow the experimental trend of longer cores and large-scale radial experiments. It was used to predict acid performance under field conditions. The results show that the optimal PVBT under field conditions is always lower than the one predicted under laboratory conditions; the acid depth of penetration has a significant effect on the acid-efficiency curves; and the vertical flow of acid should be considered in acid-job design.
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Akanni, O. O. and Nasr-El-Din, H. A. 2015. The Accuracy of Carbonate Matrix-Acidizing Models in Predicting Optimum Injection and Wormhole Propagation Rates. Presented at the SPE Middle East Oil & Gas Show and Conference, Manama, Bahrain, 8–11 March. SPE-172575-MS. https://doi.org/10.2118/172575-MS.
Akanni, O. O., Nasr-El-Din, H. A., and Gusain, D. 2017. A Computational Navier-Stokes Fluid-Dynamics-Simulation Study of Wormhole Propagation in Carbonate-Matrix Acidizing and Analysis of Factors Influencing the Dissolution Process. SPE J. 22 (6): 2049–2066. SPE-187962-PA. https://doi.org/10.2118/187962-PA.
Akin, S. and Kovscek, A. R. 2003. Computed Tomography in Petroleum Engineering Research. Geol. Soc. Lond. Spec. Pub. 215: 23–38. https://doi.org/10.1144/GSL.SP.2003.215.01.03.
Balakotaiah, V. and West, D. H. 2002. Shape Normalization and Analysis of Mass Transfer Controlled Regime in Catalytic Monoliths. Chem. Eng. Sci. 57 (8): 1269–1286. https://doi.org/10.1016/S0009-2509(02)00059-3.
Bazin, B. 2001. From Matrix Acidizing to Acid Fracturing: A Laboratory Evaluation of Acid/Rock Interactions. SPE Prod & Fac 16 (1): 22–29. SPE-66566-PA. https://doi.org/10.2118/66566-PA.
Beletskaya, A., Ivanov, E., Stukan, M. et al. 2017. Reactive Flow Modeling at Pore Scale. Presented at the SPE Russian Petroleum Technology Conference, Moscow, 16–18 October. SPE-187805-MS. https://doi.org/10.2118/187805-MS.
Buijse, M. A. 2000. Understanding Wormholing Mechanisms Can Improve Acid Treatments in Carbonate Formations. SPE Prod & Fac 15 (3): 168–175. SPE-65068-PA. https://doi.org/10.2118/65068-PA.
Buijse, M. A. and Glasbergen, G. 2005. A Semi-Empirical Model to Calculate Wormhole Growth in Carbonate Acidizing. Presented at the SPE Annual Technical Conference and Exhibition, Dallas, 9–10 October. SPE 96892-MS. https://doi.org/10.2118/96892-MS.
Carman, C. 1956. Flow of Gases Through Porous Media, first edition. New York City: Academic Press.
Cohen, C. E., Ding, D., Quintard, M. et al. 2008. From Pore Scale to Wellbore Scale: Impact of Geometry on Wormhole Growth in Carbonate Acidization. Chem. Eng. Sci. 63 (12) 3088–3099. https://doi.org/10.1016/j.ces.2008.03.021.
Daccord, G. 1987. Chemical Dissolution of a Porous Medium by a Reactive Fluid. Phys. Rev. Lett. 58 (5): 479–482. https://doi.org/10.1103/PhysRevLett.58.479.
Daccord, G., Lenormand, R., and Lie´tard, O. 1993. Chemical Dissolution of a Porous Medium by a Reactive Fluid—I. Model for the “Wormholing” Phenomenon. Chem. Eng. Sci. 48 (1): 169–178. https://doi.org/10.1016/0009-2509(93)80293-Y.
De Oliveira, T. J. L., De Melo, A. R., Oliveira, J. A. A. et al. 2012. Numerical Simulation of the Acidizing Process and PVBT Extraction Methodology Including Porosity/Permeability and Mineralogy Heterogeneity. Presented at the SPE International Symposium and Exhibition on Formation Damage Control, Lafayette, Louisiana, 15–17 January. SPE-151823-MS. https://doi.org/10.2118/151823-MS.
Dong, K., Jin, X., Zhu, D., et al. 2014.The Effect of Core Dimensions on the Optimal Acid Flux in Carbonate Acidizing. Presented at the SPE International Symposium and Exhibition on Formation Damage Control, Lafayette, Louisiana, 26–28 February. SPE-168146-MS. https://doi.org/10.2118/168146-MS.
Fredd, C. N. and Fogler, H. S. 1998. Influence of Transport and Reaction on Wormhole Formation in Porous Media. AIChE J. 44 (9): 1933–1949. https://doi.org/10.1002/aic.690440902.
Fredd, C. N. and Fogler, H. S. 1999. Optimum Conditions for Wormhole Formation in Carbonate Porous Media: Influence of Transport and Reaction. SPE J. 4 (3): 196–205. SPE-56995-PA. https://doi.org/10.2118/56995-PA.
Fredd, C. N. and Miller, M. J. 2000. Validation of Carbonate Matrix Stimulation Models. Presented at the SPE International Symposium on Formation Damage Control, Lafayette, Louisiana, 23–24 February. SPE 58713-MS. https://doi.org/10.2118/58713-MS.
Furui, K., Burton, R. C., Burkhead, D. W. et al. 2012. A ComprehensiveModel of High-RateMatrix-Acid Stimulation for Long Horizontal Wells in Carbonate Reservoirs: Part I—Scaling Up Core-Level Acid Wormholing to Field Treatments. SPE J. 17 (1): 271–279. https://doi.org/10.2118/134265-PA.
Ghommem, M., Qiu, X., Brady, D. et al. 2016. Monitoring of Matrix Acidizing by Using Resistivity Measurements. Presented at the SPE Annual Technical Conference and Exhibition, Dubai, 26–28 September. SPE-181414-MS. https://doi.org/10.2118/181414-MS.
Ghommem, M., Zhao, W., Dyer, S. et al. 2015. Carbonate Acidizing: Modeling, Analysis, and Characterization of Wormhole Formation and Propagation. J. Pet. Sci. Eng. 131 (July): 18–33. https://doi.org/10.1016/j.petrol.2015.04.021.
Golfier, F., Zarcone, C., Bazin, B. et al. 2002. On the Ability of a Darcy-Scale Method Model to Capture Wormhole Formation During the Dissolution of a Porous Medium. J. Fluid Mech. 457 (25 April): 213–254. https://doi.org/10.1017/S0022112002007735.
Gupta, N. and Balakotaiah, V. 2001. Heat and Mass Transfer Coefficients in Catalytic Monoliths. Chem. Eng. Sci. 56 (16): 4771–4786. https://doi.org/10.1016/S0009-2509(01)00134-8.
Hoefner, M. L. and Fogler, H. S. 1988. Pore Evolution and Channel Formation During Flow and Reaction in Porous Media. AIChE J. 34 (1): 45–54. https://doi.org/10.1002/aic.690340107.
Huang, T., Hill, A. D., and Schechter, R. S. 1997. Reaction Rate and Fluid Loss: The Keys to Wormhole Initiation and Propagation in Carbonate Acidizing. Presented at the International Symposium on Oilfield Chemistry, Houston, 18–21 February. SPE-37312-MS. https://doi.org/10.2118/37312-MS.
Hung, K. M., Hill, A. D., and Sepehrnoori, K. 1989. A Mechanistic Model of Wormhole Growth in Carbonate Matrix Acidizing and Acid Fracturing. J Pet Technol 41 (1): 59–66. SPE-16886-PA. https://doi.org/10.2118/16886-PA.
Izgec, O., Zhu, D., and Hill, A. D. 2010. Numerical and Experimental Investigation of Acid Wormholing During Acidization of Vuggy Carbonate Rocks. J. Pet. Sci. Eng. 74 (1–2): 51–66. https://doi.org/10.1016/j.petrol.2010.08.006.
Kalia, N. and Balakotaiah, V. 2007. Modeling and Analysis of Wormhole Formation in Reactive Dissolution of Carbonate Rocks. Chem. Eng. Sci. 62 (4): 919–928. https://doi.org/10.1016/j.ces.2006.10.021.
Kalia, N. and Balakotaiah, V. 2009. Effect of Medium Heterogeneities on Reactive Dissolution of Carbonates. Chem. Eng. Sci. 64 (2): 376–390. https://doi.org/10.1016/j.ces.2008.10.026.
Kalia, N. and Glasbergen, G. 2009. Wormhole Formation in Carbonates Under Varying Temperature Conditions. Presented at the 8th European Formation Damage Conference, Scheveningen, The Netherlands, 27–29 May. SPE 121803-MS. https://doi.org/10.2118/121803-MS.
Liu, M., Zhang, S., and Mou, J. 2012. Effect of Normally Distributed Porosities on Dissolution Pattern in Carbonate Acidizing. J. Pet. Sci. Eng. 94–95 (September): 28–39. https://doi.org/10.1016/j.petrol.2012.06.021.
Liu, P., Xue, H., Zhao, L. et al. 2016. Simulation of 3D Multi-Scale Wormhole Propagation in Carbonates Considering Correlation Spatial Distribution of Petrophysical Properties. J. Nat. Gas Sci. Eng. 32 (May): 81–94. https://doi.org/10.1016/j.jngse.2016.04.014.
Liu, X., Ormond, A., Bartko, K. et al. 1997. A Geochemical Reaction-Transport Simulator for Matrix Acidizing Analysis and Design. J. Pet. Sci. Eng. 17 (1–2): 181–196. https://doi.org/10.1016/S0920-4105(96)00064-2.
Lund, K., Fogler, H. S., and McCune, C. C. 1973. Acidization—I. The Dissolution of Dolomite in Hydrochloric Acid. Chem. Eng. Sci. 28 (3): 691–700. https://doi.org/10.1016/0009-2509(77)80003-1.
Lund, K., Fogler, H. S., McCune, C. C. et al. 1975. Acidization—II. The Dissolution of Calcite in Hydrochloric Acid. Chem. Eng. Sci. 30 (8): 825–835. https://doi.org/10.1016/0009-2509(75)80047-9.
Maheshwari, P. and Balakotaiah, V. 2013. Comparison of Carbonate HCl Acidizing Experiments With 3D Simulations. SPE Prod & Oper 28 (4): 402–413. SPE-164517-PA https://doi.org/10.2118/164517-PA.
Maheshwari, P., Gharbi, O., Thirion, A. et al. 2016. Development of a Reactive Transport Simulator for Carbonates Acid Stimulation. Presented at the SPE Annual Technical Conference and Exhibition, Dubai, 26–28 September. SPE-181603-MS. https://doi.org/10.2118/181603-MS.
Maheshwari, P., Ratnakar, R. R., Kalia, N. et al. 2012. 3-D Simulation and Analysis of Reactive Dissolution and Wormhole Formation in Carbonate Rocks. Chem. Eng. Sci. 90 (March): 258–274. https://doi.org/10.1016/j.ces.2012.12.032.
Mahrous, M., Sultan, A., and Sonnenthal, E. 2017. Towards Geochemically Accurate Modeling of Carbonate Acidizing With HCl Acid. Presented at the SPE Annual Technical Conference and Exhibition, San Antonio, Texas, 9–11 October. SPE-187183-MS. https://doi.org/10.2118/187183-MS.
McCune, C. C., Fogler, H. S., and Kline, W. E. 1979. An Experimental Technique for Obtaining Permeability-Porosity Relationships in Acidized Porous Media. Ind. Eng. Chem. Fundamen. 18 (2): 188–191. https://doi.org/10.1021/i160070a016.
McDuff, D., Jackson, S., Shuchart, C. et al. 2010. Understanding Wormholes in Carbonates: Unprecedented Experimental Scale and 3D Visualization. J Pet Technol 62 (10): 78–81. SPE-129329-JPT. https://doi.org/10.2118/129329-JPT.
Nishikata, E., Ishii, T., and Ohta, T. 1981. Viscosities of Aqueous Hydrochloric Acid Solutions, and Densities and Viscosities of Aqueous Hydroiodic Acid Solutions. J. Chem. Eng. Data 26 (3): 254–256. https://doi.org/10.1021/je00025a008.
Panga, M. K. R., Balakotaiah, V., and Ziauddin, M. 2002. Modeling, Simulation and Comparison of Models for Wormhole Formation During Matrix Stimulation of Carbonates. Presented at the SPE Annual Technical Conference and Exhibition, San Antonio, Texas, 29 September–2 October. SPE 77369-MS. https://doi.org/10.2118/77369-MS.
Panga, M. K. R., Ziauddin, M., and Balakotaiah, V. 2005. Two-Scale Continuum Model for Simulation of Wormholes in Carbonate Acidization. AIChE J. 51 (12): 3231–3248. https://doi.org/10.1002/aic.10574.
Rötting, T., Luquot, L., Carrera, J. et al. 2015. Changes in Porosity, Permeability, Water Retention Curve and Reactive Surface Area During Carbonate Rock Dissolution. Chem. Geol. 403 (18 May): 86–98. https://doi.org/10.1016/j.chemgeo.2015.03.008.
Safari, A., Dowlatabad, M. M., Hassani, A. et al. 2016. Numerical Simulation and X-Ray Imaging Validation of Wormhole Propagation During Acid Core-Flood Experiments in a Carbonate Gas Reservoir. J. Nat. Gas Sci. Eng. 30 (March): 539–547. https://doi.org/10.1016/j.jngse.2016.02.036.
Safari, A., Rashidi, F., Kazemzadeh, E. et al. 2014. Determining Optimal Acid Injection Rate for a Carbonate Gas Reservoir and Scaling the Result Up to the Field Conditions: A Case Study. J. Nat. Gas Sci. Eng. 20 (September): 2–7. https://doi.org/10.1016/j.jngse.2014.05.017.
Schwalbert, M. P., Zhu, D., and Hill, A. D. 2017. Extension of an Empirical Wormhole Model for Carbonate Matrix Acidizing Through Two-Scale Continuum 3D Simulations. Presented at SPE Europec featured at 79th EAGE Conference and Exhibition, Paris, 12–15 June. SPE-185788-MS. https:// doi.org/10.2118/185788-MS.
Tardy, P. M. J., Lecerf, B., and Christanti, Y. 2007. An Experimentally Validated Wormhole Model for Self-Diverting and Conventional Acids in Carbonate Rocks Under Radial Flow Conditions. Presented at the European Formation Damage Conference, Scheveningen, The Netherlands, 30 May–1 June. SPE-107854-MS. https://doi.org/10.2118/107854-MS.
Tansey, J. 2014. Pore-Network Modeling of Carbonate Acidization. Presented at the SPE Annual Technical Conference and Exhibition, Amsterdam, 27–29 October. SPE-173472-STU. https://doi.org/10.2118/173472-STU.
Taylor, K. C., Nasr-El-Din, H. A., and Mehta, S. 2006. Anomalous Acid Reaction Rates in Carbonate Reservoir Rocks. SPE J. 11 (4): 488–496. SPE-89417-PA. https://doi.org/10.2118/89417-PA.
Wang, Y., Hill, A. D., and Schechter, R. S. 1993. The Optimum Injection Rate for Matrix Acidizing of Carbonate Formations. Presented at the SPE Annual Technical Conference and Exhibition, Houston, 3–6 October. SPE 26578-MS. https://doi.org/10.2118/26578-MS.
Wu, Y., Salama, A., and Sun, S. 2015. Parallel Simulation of Wormhole Propagation With the Darcy–Brinkman–Forchheimer Framework. Comput. Geotech. 69 (September): 564–577. https://doi.org/10.1016/j.compgeo.2015.06.021.
Zakaria, A. S., Nasr-El-Din, H. A., and Ziauddin, M. 2015. Predicting the Performance of the Acid-Stimulation Treatments in Carbonate Reservoirs With Nondestructive Tracer Tests. SPE J. 20 (6): 1238–1253. SPE-174084-PA. https://doi.org/10.2118/174084-PA.