DOI QR코드

DOI QR Code

Modeling of coupled liquid-gas-solid three-phase processes due to fluid injection

  • Zang, Yong-Ge (State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University) ;
  • Sun, Dong-Mei (State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University) ;
  • Feng, Ping (State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University) ;
  • Stephan, Semprich (Institute of Soil Mechanics and Foundation Engineering, Graz University of Technology)
  • Received : 2016.07.21
  • Accepted : 2017.02.03
  • Published : 2017.07.25

Abstract

A coupled liquid-gas-solid three-phase model, linking two numerical codes (TOUGH2/EOS3 and $FLAC^{3D}$), was firstly established and validated by simulating an in-situ air flow test in Essen. Then the coupled model was employed to investigate responses of multiphase flow and soil skeleton deformation to compressed air or freshwater injection using the same simulation conditions in an aquifer of Tianjin, China. The simulation results show that with injecting pressurized fluids, the vertical effective stress in some area decreases owing to the pore pressure increasing, an expansion of soil skeleton appears, and land uplift occurs due to support actions from lower deformed soils. After fluids injection stops, soil deformation decreases overall due to injecting fluids dissipating. With the same applied pressure, changes in multiphase flow and geo-mechanical deformation caused by compressed air injection are relatively greater than those by freshwater injection. Furthermore, the expansion of soil skeleton induced by compressed air injection transfers upward and laterally continuously with time, while during and after freshwater injection, this expansion reaches rapidly a quasi-steady state. These differences induced by two fluids injection are mainly because air could spread upward and laterally easily for its lower density and phase state transition appears for compressed air injection.

Keywords

Acknowledgement

Supported by : National Nature Science Foundation of China

References

  1. Armero, F. and Simo, J.C. (1992), "A new unconditionally stable fractional step method for non-linear coupled thermomechanical problems", Int. J. Numer. Methods Eng., 35(4), 737-766. https://doi.org/10.1002/nme.1620350408
  2. Bary, B. (2002), "Coupled hydro-mechanical and damage model for concrete as an unsaturated porous medium", Proceedings of the 15th ASCS Engineering Mechanical Conference, Columbia University, New York, NY, USA, June.
  3. Bell, J.W., Amelung, F., Ferretti, A., Bianchi, M. and Novali, F. (2008), "Permanent scatterer InSAR reveals seasonal and long-term aquifer-system response to groundwater pumping and artificial recharge", Water Resour. Res., 44(2), 282-288.
  4. Cappa, F., Rutqvist, J. and Yamamoto, K. (2009), "Modeling crustal deformation and rupture processes related to upwelling of deep $CO_2$-rich fluids during the 1965-1967 Matsushiro earthquake swarm in Japan", J. Geophys. Res., 114(B10).
  5. Chapuis, R.P. and Aubertin, M. (2003), "On the use of the Kozeny Carman equation to predict the hydraulic conductivity of soils", Can. Geotech. J., 40(3), 616-628. https://doi.org/10.1139/t03-013
  6. Chen, C.T., Hu, J.C., Lu, C.Y., Lee, J.C. and Chan, Y.C. (2007), "Thirty-year land elevation change from subsidence to uplift following the termination of groundwater pumping and its geological implications in the Metropolitan Taipei Basin, Northern Taiwan", Eng. Geol., 95(1), 30-47. https://doi.org/10.1016/j.enggeo.2007.09.001
  7. Chinkulkijniwat, A. (2005), "Multiphase flow in unsaturated soils and the induced deformation with respect to compressed air tunnelling", Ph.D. Dissertation; Graz University of Technology, Austria.
  8. Chinkulkijniwat, A., Horpibulsuk, S. and Semprich, S. (2014), "Modeling of coupled mechanical-hydrological processes in compressed-air-assisted tunneling in unconsolidated sediments", Transport. Porous. Med., 108(1), 105-129.
  9. Coussy, O. (1995), Mechanics of Porous Continua, Wiley, NY, USA.
  10. Dean, R.H., Gai, X., Stone, C.M. and Minkoff, S.E. (2006), "A comparison of techniques for coupling porous flow and geomechanics", SPE J., 11(1), 132-140. https://doi.org/10.2118/79709-PA
  11. Dror, I., Berkowitz, B. and Gorelick, S.M. (2004), "Effects of air injection on flow through porous media: observations and analyses of laboratory-scale processes", Water Resour. Res., 40(9), 101-102.
  12. Felippa, C.A. and Park, K.C. (1980), "Staggered transient analysis procedures for coupled mechanical systems: formulation", Comput. Methods Appl. Mech. Engrg., 24(1), 61-111. https://doi.org/10.1016/0045-7825(80)90040-7
  13. Gutierrez, M.S. and Lewis, R.W. (2002), "Coupling of fluid flow and deformation in underground formations", J. Eng. Mech.-ASCE, 128(7), 779-787. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:7(779)
  14. ITASCA Consulting Group Inc (2002), Fast Lagrangian Analysis of Continua in 3 Dimensions Version 2.10; User's Manual. ITASCA Consulting Group Inc, MN, USA.
  15. Jeannin, L., Mainguy, M., Masson, R. and Vidal-Gilbert, S. (2007), "Accelerating the convergence of coupled geomechanical-reservoir simulations", Int. J. Numer. Anal. Methods Geomech., 31(10), 1163-1181. https://doi.org/10.1002/nag.576
  16. Jha, B. and Juanes, R. (2007), "A locally conservative finite element framework for the simulation of coupled flow and reservoir geomechanics", Acta Geotech., 2(3), 139-153. https://doi.org/10.1007/s11440-007-0033-0
  17. Kim, J. and Selvadurai, A.P.S. (2015), "Ground heave due to line injection sources", Geomech. Energy Environ., 2, 1-14. https://doi.org/10.1016/j.gete.2015.03.001
  18. Kim, J., Moridis, G., Yang, D. and Rutqvist, J. (2012), "Numerical studies on two-way coupled fluid flow and geomechanics in hydrate deposits", SPE J., 17(2), 485-501. https://doi.org/10.2118/141304-PA
  19. Kramer, J., and Semprich, S. (1989), "Erfahrungen über Druckluftverbrauch bei der Spritzbetonbauweise", In: Taschenbuch fur den Tunnelbau, Deutsche Gesellschaft fur Erd-und Grundbau, Essen, Germany, pp. 91-153. [In German]
  20. Leverett, M.C. (1941), "Capillary behavior in porous solids", Trans. AIME, 142(1), 152-168. https://doi.org/10.2118/941152-G
  21. Lewis, R.W., Makurat, A. and Pao, W.K. (2003), "Fully coupled modeling of seabed subsidence and reservoir compaction of North Sea oil fields", Hydrogeol. J., 11(1), 142-161. https://doi.org/10.1007/s10040-002-0239-z
  22. Minkoff, S.E., Stone, C.M., Bryant, S., Peszynska, M. and Wheeler, M.F. (2003), "Coupled fluid flow and geomechanical deformation modeling", J. Pet. Sci. Eng., 38(1), 37-56. https://doi.org/10.1016/S0920-4105(03)00021-4
  23. Mualem, Y. (1976), "A new model for predicting the hydraulic conductivity of unsaturated porous media",Water Resour. Res., 12(3), 513-522. https://doi.org/10.1029/WR012i003p00513
  24. Ottl, G. (2003), A Three-phase FE-model for Dewatering of Soils by Means of Compressed Air, Universitat Innsbruck AI, Publik.-Bereich.
  25. Pao, W.K. and Lewis, R.W. (2002), "Three-dimensional finite element simulation of three-phase flow in a deforming fissured reservoir", Comput. Methods Appl. Mech. Eng., 191(23), 2631-2659. https://doi.org/10.1016/S0045-7825(01)00420-0
  26. Pao, W.K., Lewis, R.W. and Masters, I. (2001), "A fully coupled hydro-thermo-poro-mechanical model for black oil reservoir simulation", Int. J. Numer. Anal. Methods Geomech., 25(12), 1229-1256. https://doi.org/10.1002/nag.174
  27. Pruess, K., Oldenburg, C. and Moridis, G. (1999), TOUGH2 User's Guide Version 2.0; University of California, Berkeley, CA, USA.
  28. Rao, D. (2001), "Gas injection EOR-A new meaning in the new millennium", J. Can. Petroleum Technol., 40(2), 11-19.
  29. Rutqvist, J. (2008), Analysis of injection-induced micro-earthquakes in a geothermal steam reservoir, the Geysers Geothermal Field; Lawrence Berkeley National Laboratory, CA, USA.
  30. Rutqvist, J. (2012), "The geomechanics of $CO_2$ storage in deep sedimentary formations", Geotech. Gelo. Eng., 30(3), 525-551. https://doi.org/10.1007/s10706-011-9491-0
  31. Rutqvist, J. and Tsang, C.F. (2003), "TOUGH-FLAC: A numerical simulator for analysis of coupled thermal-hydrologic-mechanical processes in fractured and porous geological media under multi-phase flow conditions", Proceedings of the TOUGH Symposium, Berkeley, CA, USA, May, pp. 12-14.
  32. Rutqvist, J. and Moridis, G.J. (2007), "Numerical studies on the geomechanical stability of hydrate-bearing sediments", Proceedings of Offshore Technology Conference, Houston, TX, USA, April-May.
  33. Rutqvist, J., Wu, Y.S., Tsang, C.F. and Bodvarsson, G. (2002), "A modeling approach for analysis of coupled multiphase fluid flow, heat transfer, and deformation in fractured porous rock", Int. J. of Rock Mech. Min. Sci., ITASCA Consulting Group Inc., 39(4), 429-442. https://doi.org/10.1016/S1365-1609(02)00022-9
  34. Rutqvist, J., Bäckström, A., Chijimatsu, M., Feng, X.T., Pan, P.Z., Hudson, J., Jing, L., Kobayashi, A., Koyama, T., Lee, H.-S., Huang, X.-H., Rinne, M. and Shen, B. (2009), "A multiple-code simulation study of the long-term EDZ evolution of geological nuclear waste repositories", Environ. Geol., 57(6), 1313-1324. https://doi.org/10.1007/s00254-008-1536-1
  35. Rutqvist, J., Vasco, D.W. and Myer, L. (2010), "Coupled reservoir-geomechanical analysis of $CO_2$ injection and ground deformations at In Salah, Algeria", Int. J. Greenh. Gas. Con., 4(2), 225-230. https://doi.org/10.1016/j.ijggc.2009.10.017
  36. Samier, P., Onaisi, A. and de Gennaro, S. (2008), "A practical iterative scheme for coupling geomechanics with reservoir simulation", SPE Reserv. Eval. Eng., 11(5), 892-901. https://doi.org/10.2118/107077-PA
  37. Selvadurai, A.P.S. (2003), "Contaminant migration from an axisymmetric source in a porous medium", Water Resour. Res., 39(8), 1204.
  38. Selvadurai, A.P.S (2006), "Gravity-driven advective transport during deep geological disposal of contaminants", Geophys. Res. Lett., 33(8).
  39. Selvadurai, A.P.S. (2009), "Heave of a surficial rock layer due to pressures generated by injected fluids",Geophys. Res. Lett., 36(14).
  40. Settari, A. and Mourits, F.M. (1998), "A coupled reservoir and geomechanical simulation system", Soc. Pet. Eng. J., 3(3), 219-226.
  41. Settari, A. and Sen, V. (2007), "The role of geomechanics in integrated reservoir modeling", The Leading Edge, 26(5), 622-627. https://doi.org/10.1190/1.2737102
  42. Settari, A. and Walters, D.A. (2001), "Advances in coupled geomechanical and reservoir modeling with applications to reservoir compaction", Soc. Pet. Engrg. J., 6(3), 334-342.
  43. Sreng, S., Li, L., Sugiyama, H., Kusaka, T. and Saitoh, M. (2009), "Upheaval phenomenon in clay ground induced by rising groundwater level", Proceedings of the 4th Biot Conference on Poromechanics, Columbia University, NY, USA, June, pp. 106-203.
  44. Sun, D.M. and Semprich, S. (2013), "Using Compressed Air Injection to Control Seawater Intrusion in a Confined Coastal Aquifer", Transport. Porous. Med., 100(2), 259-278. https://doi.org/10.1007/s11242-013-0215-1
  45. Teatini, P., Bau, D. and Gambolati, G. (2000), "Water-gas dynamics and coastal land subsidence over Chioggia Mare field, northern Adriatic Sea", Hydrogeol. J., 8(5), 462-479. https://doi.org/10.1007/s100400000092
  46. Teatini, P., Gambolati, G., Ferronato, M., Settari, A.T. and Walters, D. (2011), "Land uplift due to subsurface fluid injection", J. Geodyn., 51(1), 1-16. https://doi.org/10.1016/j.jog.2010.06.001
  47. Thomas, L.K., Chin, L.Y., Pierson, R.G. and Sylte, J.E. (2003), "Coupled Geomechanics and Reservoir Simulation", Soc. Pet. Eng. J., 8(4), 350-358.
  48. Tsang, C.F., Birkholzer, J. and Rutqvist, J. (2008), "A comparative review of hydrologic issues involved in geologic storage of $CO_2$ and injection disposal of liquid waste", Environ. Geol., 54(8), 1723-1737. https://doi.org/10.1007/s00254-007-0949-6
  49. Van Genuchten, M.T. (1980), "A closed-form equation for predicting the hydraulic conductivity of unsaturated soils", Soil Sci. Soc. Am. J., 44(5), 892-898. https://doi.org/10.2136/sssaj1980.03615995004400050002x
  50. Van Genuchten, M.T., Leij, F.J., Yates, S.R. (1991), The RETC Code for Quantifying the Hydraulic Functions of Unsaturated Soils; U.S. Salinity Lab., Riverside, CA, USA.
  51. Vijalapura, P.K., Strain, J. and Govindjee, S. (2005), "Fractional step methods for index-1 differentialalgebraic equations", J. Comput. Phys., 203(1), 305-320. https://doi.org/10.1016/j.jcp.2004.08.015
  52. Wong, R.C.K. and Lau, J. (2008), "Surface heave induced by steam stimulation in oil sand reservoirs", J. Can. Petrol. Technol., 47(1), 13-17.