journal article·2018-05

An Elrod–Adams-model-based method to account for the fluid lag in hydraulic fracturing in 2D and 3D

Mostafa Mollaali, Yongxing Shen

International Journal of Fracture· Volume 211· Issue 1-2
Publisher page

Abstract

An efficient method to model the fluid lag in hydraulic fracturing has been developed based on the Elrod–Adams model. The main feature of this method is the absence of the need to explicitly track the free end of the fracturing fluid, but rather, the fluid front is obtained by solving the pressure field (zero for the lag) and an auxiliary field for the entire fracture. An important advantage of this method is that no change of formulation, and hence no contact detection, is needed when the fluid reaches the fracture tip. Moreover, the method works for both the injection phase and the liquid withdrawal phase. Based on the latter case studies can be developed to investigate the quantity of the remaining fluid after the fracturing process in order to assess the environmental impact of fracturing. The method applies to both 2D and 3D problems.
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Research context

OpenAlex topics: Hydraulic Fracturing and Reservoir Analysis · Drilling and Well Engineering · Seismic Imaging and Inversion Techniques

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References (27)

Show source-provided references
1. Adachi J, Siebrits E, Peirce A, Desroches J (2007) Computer simulation of hydraulic fractures. Int J Rock Mech Min Sci 44(5):739–75710.1016/j.ijrmms.2006.11.006 ↗
2. Ausas RF, Jai M, Buscaglia GC (2009) A mass-conserving algorithm for dynamical lubrication problems with cavitation. ASME J Tribol 131(3):031702–031702-710.1115/1.3142903 ↗
3. Bayada G, Chambat M (1983) Analysis of a free boundary problem in partial lubrication. Q Appl Math 40(4):369–37510.1090/qam/693872 ↗
4. Bunger AP, Detournay E, Jeffrey RG (2005) Crack tip behavior in near-surface fluid-driven fracture experiments. C R Mec 333(4):299–30410.1016/j.crme.2005.01.004 ↗
5. Buscaglia GC, Talibi MEA, Jai M (2015a) Mass-conserving cavitation model for dynamical lubrication problems. Part I: mathematical analysis. Math Comput Simul 118:130–14510.1016/j.matcom.2014.11.026 ↗
6. Buscaglia GC, Talibi MEA, Jai M (2015b) Mass-conserving cavitation model for dynamical lubrication problems. Part II: numerical analysis. Math Comput Simul 118:146–16210.1016/j.matcom.2014.11.024 ↗
7. Chiaramonte MM, Shen Y, Keer LM, Lew AJ (2015) Computing stress intensity factors for curvilinear cracks. Int J Numer Methods Eng 104(4):260–29610.1002/nme.4938 ↗
8. Elrod HG, Adams ML (1975) A computer program for cavitation and starvation problems. In: Dowson D, Godet M, Taylor CM (eds) Cavitation and related phenomena in lubrication: proceedings of the first Leeds-Lyon symposium on tribology, pp 37–42
9. Garagash DI (2006) Propagation of a plane-strain hydraulic fracture with a fluid lag: early-time solution. Int J Solids Struct 43:5811–583510.1016/j.ijsolstr.2005.10.009 ↗
10. Garagash D, Detournay E (2000) The tip region of a fluid-driven fracture in an elastic medium. J Appl Mech 67(1):183–19210.1115/1.321162 ↗
11. Geertsma J, de Klerk F (1969) A rapid method of predicting width and extent of hydraulically induced fractures. J Petrol Technol 21(12):1571–158110.2118/2458-PA ↗
12. Gordeliy E, Detournay E (2011) A fixed grid algorithm for simulating the propagation of a shallow hydraulic fracture with a fluid lag. Int J Numer Anal Methods Geomech 35(5):602–62910.1002/nag.913 ↗
13. Gordeliy E, Peirce A (2013) Coupling schemes for modeling hydraulic fracture propagation using the XFEM. Comput Methods Appl Mech Eng 253:305–32210.1016/j.cma.2012.08.017 ↗
14. Hunsweck MJ, Shen Y, Lew AJ (2013) A finite element approach to the simulation of hydraulic fractures with lag. Int J Numer Anal Methods Geomech 37(9):993–101510.1002/nag.1131 ↗
15. Jakobsson B, Floberg L (1957) The finite journal bearing considering vaporization. Transactions of Chalmers University Technology, Goteborg, Sweden, vol 190
16. Johnson E, Cleary MP (1991) Implications of recent laboratory experimental results for hydraulic fractures. In: Low permeability reservoirs symposium, pp 413–428. Society of Petroleum Engineers10.2118/21846-MS ↗
17. Khristianovic SA, Zheltov YP (1955) Formation of vertical fractures by means of highly viscous liquid. In: Fourth world petroleum congress proceedings, pp 579–586
18. Lecampion B, Detournay E (2007) An implicit algorithm for the propagation of a hydraulic fracture with a fluid lag. Comput Methods Appl Mech Eng 196:4863–488010.1016/j.cma.2007.06.011 ↗
19. Medlin WL, Massé L (1984) Laboratory experiments in fracture propagation. Soc Petrol Eng J 24(3):256–26810.2118/10377-PA ↗
20. Nitzschke S, Woschke E, Schmicker D, Strackeljan J (2016) Regularised cavitation algorithm for use in transient rotordynamic analysis. Int J Mech Sci 113:175–18310.1016/j.ijmecsci.2016.04.021 ↗
21. Olsson KO (1965) Cavitation in dynamically loaded bearings. Transactions of Chalmers University Technology, Goteborg, Sweden, vol 308
22. Rangarajan R, Chiaramonte MM, Hunsweck MJ, Shen Y, Lew AJ (2015) Simulating curvilinear crack propagation in two dimensions with universal meshes. Int J Numer Methods Eng 102(3–4):632–67010.1002/nme.4731 ↗
23. Shen Y (2014) A variational inequality formulation to incorporate the fluid lag in fluid-driven fracture propagation. Comput Methods Appl Mech Eng 272:17–3310.1016/j.cma.2014.01.006 ↗
24. Shen Y, Wu C, Wan Y (2017) Universal meshes for a branched crack. Finite Elem Anal Des 129:53–6210.1016/j.finel.2016.12.003 ↗
25. Sneddon IN, Lowengrub M (1969) Crack problems in the classical theory of elasticity. Wiley, New York
26. Van Dam DB, De Pater CJ, Romijn R (1998) Analysis of hydraulic fracture closure in laboratory experiments. In: SPE/ISRM rock mechanics in petroleum engineering, pp 365–374. Society of Petroleum Engineers10.2118/47380-MS ↗
27. Zhang X, Jeffrey R, Detournay E (2005) Propagation of a hydraulic fracture parallel to a free surface. Int J Numer Anal Methods Geomech 29(13):1317–134010.1002/nag.461 ↗