Reactive-Dissolution Modeling and Experimental Comparison of Wormhole Formation in Carbonates with Gelled and Emulsified Acids
- Priyank Maheshwari (University of Houston) | Jason Maxey (Halliburton) | Vemuri Balakotaiah (University of Houston)
- Document ID
- Society of Petroleum Engineers
- SPE Production & Operations
- Publication Date
- May 2016
- Document Type
- Journal Paper
- 103 - 119
- 2016.Society of Petroleum Engineers
- wormhole, non-Newtonian fluids, reactive transport modeling, carbonate acidization, fractal
- 1 in the last 30 days
- 830 since 2007
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Polymer-based (gelled or in-situ gelled) and emulsified acids have been used for matrix acidization of carbonate reservoirs for several years. Gelled and emulsified acids are typically used for acidization of high-temperature carbonate reservoirs because of their lower reaction rate as compared with nongelled/emulsified acids, resulting in deeper penetration of acid, whereas in-situ gelled acid is used for acid diversion. Literature review indicates that several laboratory-scale experimental studies have been performed to analyze the effect of acid gelation and emulsion on carbonate acidization as compared with nongelled/emulsified acids. However, there are very few modeling or quantitative theoretical studies regarding carbonate acidization with gelled and emulsified acids that can be tested at laboratory or field scale. More specifically, a theoretical analysis of the effect of transport and rheological properties (i.e., shear-thinning behavior) of gelled and emulsified acids on the acidization process is not available in the literature. Therefore, the primary objective of this study is to analyze the effect of transport and rheological properties of gelled and emulsified acids on carbonate acidization in three dimensions, which can help in terms of design of gelled- and emulsified-acid properties to achieve lower leakoff rate and deeper penetration of wormholes.
The authors present 3D numerical simulations of carbonate acidization with hydrochloric acid (HCl), gelled acid, and emulsified acid by use of a two-scale-continuum model. By use of this model, the effect of transport and rheological properties of these non-Newtonian acids on the acidization curve and dissolution pattern is analyzed and compared with the available laboratory-scale experimental data. It has been observed from the numerical simulations that a lower amount of acid is necessary to breakthrough, and thinner wormholes are formed for both gelled and emulsified acids compared with neat HCl. Additionally, acidization remains in the optimum dissolution regime for a large variation in terms of acid-injection rate for both gelled and emulsified acids compared with neat HCl. Finally, the authors develop a wormholing criterion for acids, the rheological behavior of which can be described by the power law. This criterion can be used to estimate the optimum injection rate for vuggy and nonvuggy carbonates.
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Al-Muntasheri, G. A. and Zitha, P. L. J. 2009. Gel Under Dynamic Stress in Porous Media: New Insights using Computed Tomography. Presented at the SPE Saudi Arabia Section Technical Symposium, Al-Khobar, Saudi Arabia, 9–11 May. SPE-126068-MS. http://dx.doi.org/10.2118/126068-MS.
Al-Mutairi, S. H., Hill, A. D., and Nasr-El-Din, H. A. 2007. Effect of Droplet Size, Emulsifier Concentration and Acid Volume Fraction on the Rheological Properties and Stability of Emulsified Acids. Presented at the European Formation Damage Conference, Scheveningen, The Netherlands, 30 May–1 June. SPE-107741-MS. http://dx.doi.org/10.2118/107741-MS.
Balakotaiah, V. and West, D. H. 2002. Shape Normalization and Analysis of the Mass Transfer Controlled Regime in Catalytic Monoliths. Chem Eng Sci 57 (8): 1269?1286. http://dx.doi.org/10.1016/S0009-2509(02)00059-3.
Balhoff, M. T. and Thompson, K. E. 2006. A Macroscopic Model for Shear-Thinning Flow in Packed Beds Based on Network Modeling. Chem Eng Sci 61 (2): 698?719. http://dx.doi.org/10.1016/j.ces.2005.04.030.
Balhoff, M. T. and Wheeler, M. F. 2009. A Predictive Pore-Scale Model for Non-Darcy Flow in Porous Media. SPE J. 14 (4): 579–587. SPE-110838-PA. http://dx.doi.org/10.2118/110838-PA.
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. http://dx.doi.org/10.2118/66566-PA.
Bird, R. B., Armstrong, R. C., and Hassager, O. 1987. Dynamics of Polymeric Liquids, second edition, Vol. 1: Fluid Mechanics. New York: John Wiley & Sons, Inc.
Blunt, M. J., Bijeljic, B., Dong, H. et al. 2013. Pore-Scale Imaging and Modelling. Adv Water Resour 51 (January 2013): 197?216. http://dx.doi.org/10.1016/j.advwatres.2012.03.003.
Buijse, M. A. 2000. Understanding Wormholing Mechanisms Can Improve Acid Treatments in Carbonate Formations. SPE Prod & Fac 15 (3): 168–175. SPE-65068-PA. http://dx.doi.org/10.2118/65068-PA.
Buijse, M. A. and van Domelen, M. S. 2000. Novel Application of Emulsified Acids to Matrix Stimulation of Heterogeneous Formations. SPE Prod & Fac 15 (3): 208–213. SPE-65355-PA. http://dx.doi.org/10.2118/65355-PA.
Chang, F. F., Nasr-El-Din, H. A., Lindvig, T. et al. 2008. Matrix Acidizing of Carbonate Reservoir Using Organic Acids and Mixture of HCl and Organic Acids. Presented at the SPE Annual Technical Conference and Exhibition, Denver, 21–24 December. SPE-116601-MS. http://dx.doi.org/10.2118/116601-MS.
Chen, L., Kang, Q., Viswanathan, H. S. et al. 2014. Pore-Scale Study of Dissolution-Induced Changes in Hydrologic Properties of Rocks with Binary Minerals. Water Resour Res 50 (12): 9343–9365. http://dx.doi.org/10.1002/2014WR015646.
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. http://dx.doi.org/10.1016/j.ces.2008.03.021.
Crowe, C. W., Martin, R. C., and Michaelis, A. M. 1981. Evaluation of Acid-Gelling Agents for Use in Well Stimulation. Society of Petroleum Engineers Journal 21 (4): 415?424. SPE-9384-PA. http://dx.doi.org/10.2118/9384-PA.
Crowe, C. W., McGowan, G. R., and Baranet, S. E. 1990. Investigation of Retarded Acids Provides Better Understanding of Their Effectiveness and Potential Benefits. SPE Prod Eng 5 (2): 166?170. SPE-18222-PA. http://dx.doi.org/10.2118/18222-PA.
Daccord, G. 1987. Chemical Dissolution of a Porous Medium by a Reactive Fluid. Phys Rev Lett 58 (5): 479?482. http://dx.doi.org/10.1103/PhysRevLett.58.479.
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, USA, 15?17 February. SPE-151823-MS. http://dx.doi.org/10.2118/151823-MS.
Detwiler, R. L. 2010. Permeability Alteration Due to Mineral Dissolution in Partially Saturated Fractures. Journal of Geophysical Research: Solid Earth 115 (B9). http://dx.doi.org/10.1029/2009jb007206.
Economides, M. J., Hill, A. D., and Ehlig-Economides, C. 1993. Petroleum Production Systems. Englewood Cliffs, New Jersey, USA: Prentice Hall.
Einstein, A. 1905. Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen (in German). Ann Phys 322 (8): 549?560. http://dx.doi.org/10.1002/andp.19053220806.
Elkhoury, J. E., Ameli, P., and Detwiler, R. L. 2013. Dissolution and Deformation in Fractured Carbonates Caused by Flow of CO2-Rich Brine Under Reservoir Conditions. Int J Greenhouse Gas Control 16, Supplement 1 (June 2013): S203?S215. http://dx.doi.org/10.1016/j.ijggc.2013.02.023.
Farshbaf Zinati, F., Farajzadeh, R., and Zitha, P. L. J. 2007. Modeling and CT Scan Study of the Effect of Core Heterogeneity on Foam Flow for Acid Diversion. Presented at the European Formation Damage Conference, Scheveningen, The Netherlands, 30 May–1 June. SPE-107790-MS. http://dx.doi.org/10.2118/107790-MS.
Fredd, C. N. and Fogler, H. S. 1998. The Influence of Transport and Reaction on Wormhole Formation in Porous Media. AIChE J 44 (9): 1933?1949. http://dx.doi.org/10.1002/aic.690440902.
Furui, K., Burton, R. C., Burkhead, D. W. et al. 2012. 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 J. 17 (1): 271–279. SPE-134265-PA. http://dx.doi.org/10.2118/134265-PA.
Gharbi, O., Bijeljic, B., Boek, E. et al. 2013. Changes in Pore Structure and Connectivity Induced by CO2 Injection in Carbonates: A Combined Pore-Scale Approach. Energy Procedia 37: 5367–5378. http://dx.doi.org/10.1016/j.egypro.2013.06.455.
Glasbergen, G., van Batenburg, D. W., Van Domelen, M. S. et al. 2005. Field Validation of Acidizing Wormhole Models. Presented at the SPE European Formation Damage Conference, Sheveningen, The Netherlands, 25–27 May. SPE-94695-MS. http://dx.doi.org/10.2118/94695-MS.
Golfier, F., Zarcone, C., Bazin, B. et al. 2002. On the Ability of a Darcy-Scale Model to Capture Wormhole Formation During the Dissolution of a Porous Medium. J Fluid Mech 457 (April): 213–254. http://dx.doi.org/10.1017/S0022112002007735.
Gomaa, A. M. and Nasr-El-Din, H. 2010. New Insights into Wormhole Propagation in Carbonate Rocks Using Regular, Gelled and In-Situ Gelled Acids. Presented at the SPE Production and Operations Conference and Exhibition, Tunis, Tunisia, 8–10 June. SPE-133303-MS. http://dx.doi.org/10.2118/133303-MS.
Gong, M. and El-Rabaa, A. M. 1999. Quantitative Model of Wormholing Process in Carbonate Acidizing. Presented at the SPE Mid-Continent Operations Symposium, Oklahoma City, Oklahoma, USA, 28–31 March. SPE-52165-MS. http://dx.doi.org/10.2118/52165-MS.
Hao, Y., Smith, M., Sholokhova, Y. et al. 2013. CO2-Induced Dissolution of Low Permeability Carbonates. Part II: Numerical Modeling of Experiments. Adv Water Resour 62, Part C (December 2013): 388–408. http://dx.doi.org/10.1016/j.advwatres.2013.09.009.
Hidajat, I., Mohanty, K. K., Flaum, M. et al. 2004. Study of Vuggy Carbonates Using NMR and X-Ray CT Scanning. SPE Res Eval & Eng 7 (5): 365–377. SPE-88995-PA. http://dx.doi.org/10.2118/88995-PA.
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. http://dx.doi.org/10.1002/aic.690340107.
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. http://dx.doi.org/10.2118/16886-PA.
Ikoku, C. U. and Ramey, H. J., Jr. 1979. Transient Flow of Non-Newtonian Power-Law Fluids in Porous Media. Society of Petroleum Engineers Journal 19 (3): 164?174. SPE-7139-PA. http://dx.doi.org/10.2118/7139-PA.
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. http://dx.doi.org/10.1016/j.ces.2006.10.021.
Kang, Q., Lichtner, P. C., and Zhang, D. 2006. Lattice Boltzmann Pore-Scale Model for Multicomponent Reactive Transport in Porous Media. Journal of Geophysical Research: Solid Earth 111 (B5): http://dx.doi.org/10.1029/2005jb003951.
Kuo, C. -W. and Benson, S. M. 2013. Analytical Study of Effects of Flow Rate, Capillarity, and Gravity on CO/Brine Multiphase-Flow System in Horizontal Corefloods. SPE J. 18 (4): 708–720. SPE-153954-PA. http://dx.doi.org/10.2118/153954-PA.
Luhmann, A. J., Kong, X.-Z., Tutolo, B. M. et al. 2014. Experimental Dissolution of Dolomite by CO2-Charged Brine at 100ºC and 150 bar: Evolution of Porosity, Permeability, and Reactive Surface Area. Chem Geol 380 (25 July 2014): 145–160. http://dx.doi.org/10.1016/j.chemgeo.2014.05.001.
Lungwitz, B. R., Fredd, C. N., Brady, M. E. et al. 2007. Diversion and Cleanup Studies of Viscoelastic Surfactant-Based Self-Diverting Acid. SPE Prod & Oper 22 (1): 121–127. SPE-86504-PA. http://dx.doi.org/10.2118/86504-PA.
MacQuarrie, K. T. B. and Mayer, K. U. 2005. Reactive Transport Modeling in Fractured Rock: A State-of-the-Science Review. Earth Sci Rev 72 (3–4): 189–227. http://dx.doi.org/10.1016/j.earscirev.2005.07.003.
Maheshwari, P. and Balakotaiah, V. 2013a. Comparison of Carbonate HCl Acidizing Experiments with 3D Simulations. SPE Prod & Oper 28 (4): 402?413. SPE-164517-PA. http://dx.doi.org/10.2118/164517-PA.
Maheshwari, P. and Balakotaiah, V. 2013b. 3D Simulation of Carbonate Acidization with HCl: Comparison with Experiments. Presented at the SPE Production and Operations Symposium, Oklahoma City, Oklahoma, USA, 23?26 March. SPE-164517-MS. http://dx.doi.org/10.2118/164517-MS.
Maheshwari, P., Gomaa, A., and Balakotaiah, V. 2015. Numerical and Experimental Insights of Wormhole Propagation during Carbonate Acidizing: Constant Pressure vs. Constant Rate. To be presented at the SPE Annual Technical Conference and Exhibition, Houston, 28?30 September, 2015. SPE-174790-MS.
Maheshwari, P., Ratnakar, R. R., Kalia, N. et al. 2013. 3-D Simulation and Analysis of Reactive Dissolution and Wormhole Formation in Carbonate Rocks. Chem Eng Sci 90 (7 March 2013): 258–274. http://dx.doi.org/10.1016/j.ces.2012.12.032.
Mayer, K. U., Frind, E. O., and Blowes, D. W. 2002. Multicomponent Reactive Transport Modeling in Variably Saturated Porous Media Using a Generalized Formulation for Kinetically Controlled Reactions. Water Resour Res 38 (9): http://dx.doi.org/10.1029/2001wr000862.
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-MS. http://dx.doi.org/10.2118/129329-MS.
Meakin, P. and Tartakovsky, A. M. 2009. Modeling and Simulation of Pore-Scale Multiphase Fluid Flow and Reactive Transport in Fractured and Porous Media. Rev Geophys 47 (3): http://dx.doi.org/10.1029/2008rg000263.
Menke, H. P., Bijeljic, B., Andrew, M. G. et al. 2015. Dynamic Three-Dimensional Pore-Scale Imaging of Reaction in a Carbonate at Reservoir Conditions. Environ Sci Technol 49 (7): 4407?4414. http://dx.doi.org/10.1021/es505789f.
Morais, A. F., Seybold, H., Herrmann, H. J. et al. 2009. Non-Newtonian Fluid Flow through Three-Dimensional Disordered Porous Media. Phys Rev Lett 103 (19): http://dx.doi.org/10.1103/PhysRevLett.103.194502.
Nasr-El-Din, H. A., Al-Mohammed, A. M., Al-Aamri, A. et al. 2006. Reaction Kinetics of Gelled Acids with Calcite. Presented at the International Oil & Gas Conference and Exhibition in China, Beijing, 5?7 December. SPE-103979-MS. http://dx.doi.org/10.2118/103979-MS.
Navarrete, R. C., Holms, B. A., McConnell, S. B. et al. 2000. Laboratory, Theoretical, and Field Studies of Emulsified Acid Treatments in High-Temperature Carbonate Formations. SPE Prod & Fac 15 (2): 96–106. SPE-63012-PA. http://dx.doi.org/10.2118/63012-PA.
Nierode, D. E. and Kruk, K. F. 1973. An Evaluation of Acid Fluid Loss Additives, Retarded Acids, and Acidized Fracture Conductivity. Presented at the Fall Meeting of the Society of Petroleum Engineers of AIME, Las Vegas, Nevada, USA, 30 September–3 October. SPE-4549-MS. http://dx.doi.org/10.2118/4549-MS.
Noiriel, C., Luquot, L., Madé, B. et al. 2009. Changes in Reactive Surface Area During Limestone Dissolution: An Experimental and Modelling Study. Chem Geol 265 (1–2): 160–170. http://dx.doi.org/10.1016/j.chemgeo.2009.01.032.
Ovaysi, S. and Piri, M. 2014. Pore-Space Alteration Induced by Brine Acidification in Subsurface Geologic Formations. Water Resour Res 50 (1): 440?452. http://dx.doi.org/10.1002/2013wr014289.
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. http://dx.doi.org/10.1002/aic.10574.
Pearson, J. R. A. and Tardy, P. M. J. 2002. Models for Flow of Non-Newtonian and Complex Fluids through Porous Media. J Non-Newtonian Fluid Mech 102 (2): 447?473. http://dx.doi.org/10.1016/S0377-0257(01)00191-4.
Raeini, A. Q., Blunt, M. J., and Bijeljic, B. 2012. Modelling Two-Phase Flow in Porous Media at the Pore Scale Using the Volume-of-Fluid Method. J Comput Phys 231 (17): 5653?5668. http://dx.doi.org/10.1016/j.jcp.2012.04.011.
Ratnakar, R. R., Kalia, N., and Balakotaiah, V. 2013. Modeling, Analysis and Simulation of Wormhole Formation in Carbonate Rocks with In Situ Cross-Linked Acids. Chem Eng Sci 90 (17): 179?199. http://dx.doi.org/10.1016/j.ces.2012.12.019.
Sahimi, M. and Pop, I. 1996. Flow and Transport in Porous Media and Fractured Rock, From Classical Methods to Modern Approaches. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 76 (4): 230?230. http://dx.doi.org/10.1002/zamm.19960760410.
Sayed, M. A. I., Zakaria, A. S. E. D., Nasr-El-Din, H. A. et al. 2012. Core Flood Study of a New Emulsified Acid with Reservoir Cores. Presented at the SPE International Production and Operations Conference & Exhibitio, Doha, 14–16 May. SPE-157310-MS. http://dx.doi.org/10.2118/157310-MS.
Schechter, R.S. 1992. Oil Well Stimulation, first edition. Englewood Cliffs, New Jersey, USA: Prentice-Hall.
Siddiqui, S., Nasr-El-Din, H. A., and Khamees, A. A. 2006. Wormhole Initiation and Propagation of Emulsified Acid in Carbonate Cores Using Computerized Tomography. J Pet Sci Eng 54 (3–4): 93–111. http://dx.doi.org/10.1016/j.petrol.2006.08.005.
Sochi, T. 2010. Non-Newtonian Flow in Porous Media. Polymer 51 (22): 5007–5023. http://dx.doi.org/10.1016/j.polymer.2010.07.047.
Steefel, C. I., DePaolo, D. J., and Lichtner, P. C. 2005. Reactive Transport Modeling: An Essential Tool and a New Research Approach for the Earth sciences. Earth Planet Sci Lett 240 (34): 539–558. http://dx.doi.org/10.1016/j.epsl.2005.09.017.
Szymczak, P. and Ladd, A. J. C. 2009. Wormhole Formation in Dissolving Fractures. Journal of Geophysical Research: Solid Earth 114 (B6): http://dx.doi.org/10.1029/2008jb006122.
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. http://dx.doi.org/10.2118/107854-MS.
Taylor, K. C. and Nasr-El-Din, H. A. 2003. Laboratory Evaluation of In-Situ Gelled Acids for Carbonate Reservoirs. SPE J. 8 (4): 426–434. SPE-87331-PA. http://dx.doi.org/10.2118/87331-PA.
Vialle, S., Contraires, S., Zinzsner, B. et al. 2014. Percolation of CO2-Rich Fluids in a Limestone Sample: Evolution of Hydraulic, Electrical, Chemical, and Structural Properties. Journal of Geophysical Research: Solid Earth 119 (4): 2828?2847. http://dx.doi.org/10.1002/2013jb010656.
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. http://dx.doi.org/10.2118/26578-MS.
Williams, B. B., Gidley, J. L., and Schechter, R. S. 1979. Acidizing Fundamentals, second edition, Monograph Vol. 6. Dallas: Henry L Doherty Series, SPE of AIME.
Xu, T., Apps, J. A., and Pruess, K. 2003. Reactive Geochemical Transport Simulation to Study Mineral Trapping for CO2 Disposal in Deep Arenaceous Formations. J Geophys Res 108 (B2): http://dx.doi.org/10.1029/2002jb001979.
Ziauddin, M. E. and Bize, E. 2007. The Effect of Pore-Scale Heterogeneities on Carbonate Stimulation Treatments. Presented at the SPE Middle East Oil and Gas Show and Conference, Kingdom of Bahrain, 11-14 March. SPE-104627-MS. http://dx.doi.org/10.2118/104627-MS.