Abstract
Several hydraulic fracturing tests were performed in boreholes located in central Hungary in order to determine the in-situ stress for a geological site investigation. At a depth of about 540 m, the observed pressure versus time curves in mica schist with low dip angle foliation shows atypical pressure versus time results. After each pressurization cycle, the fracture breakdown pressure in the first fracturing cycle is lower than the refracturing or reopening pressure in the subsequent pressurizations. It is assumed that the viscosity of the drilling mud and observed foliation of the mica schist have a significant influence on the pressure values. In order to study this problem, numerical modeling was performed using the distinct element code particle flow code, which has been proven to be a valuable tool to investigate rock engineering problems such as hydraulic fracturing. The two-dimensional version of the code applied in this study can simulate hydro-mechanically coupled fluid flow in crystalline rock with low porosity and pre-existing fractures. In this study, the effect of foliation angle and fluid viscosity on the peak pressure is tested. The atypical characteristics of the pressure behaviour are interpreted so that mud with higher viscosity penetrates the sub-horizontal foliation plane, blocks the plane of weakness and makes the partly opened fracture tight and increase the pore pressure which decreases slowly with time. We see this viscous blocking effect as one explanation for the observed increase in fracture reopening pressure in subsequent pressurization cycles.
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Abbreviations
- HF:
-
Hydraulic fracturing
- LOT:
-
Leak-off test
- xLOT:
-
Extended leak-off test
- FBP:
-
Fracture breakdown pressure
- NPP:
-
Nuclear power plant
- RFP:
-
Refracturing pressure or reopening pressure
- SIP:
-
Shut-in pressure
- ISIP:
-
Instantaneous shut-in pressure
- DPDT:
-
Derivative shut-in pressure
- JP:
-
Jacking pressure
- P f :
-
Fluid pressure
- σ 3 :
-
Minimum principal stress
- σ 1 :
-
Maximum principal stress
- σn :
-
Normal stress
- Sv :
-
Vertical stress
- S hmin :
-
Minimum horizontal stress
- S Hmax :
-
Maximum horizontal stress
- Sxx :
-
Stress parallel to axis x
- Szz :
-
Stress parallel to axis z
- UCS:
-
Uniaxial compressive strength
- BTS:
-
Brazilian tensile strength
- T:
-
Tensile strength of the rock
- Q:
-
Flow rate
- e:
-
Hydraulic aperture
- e 0 :
-
Hydraulic aperture at zero normal stress
- e inf :
-
Hydraulic aperture at infinite normal stress
- α :
-
Coefficient of decay
- η :
-
Dynamic fluid viscosity
- R :
-
Particle radius
- m :
-
Particle mass
- a :
-
Acceleration
- K c :
-
Contact stiffness
- K b :
-
Bond stiffness
- U :
-
Particle overlap
- V inj :
-
Injected fluid volume
References
ÁKMI Ltd (2016) Conduction of geological research program required for Paks II site permit. Final report of the geological research program. Document ID: MÁ/PA2-16-FT-14 V2 (Paks II Telephelyengedélyének Megszerzéséhez Szükséges Földtani Kutatás Végrehajtása. Földtani Kutatási Program Zárójelentése, in Hungarian), Pécs, Hungary
Amadei B, Stephansson O (1997) Rock stress and its measurement. Chapman & Hall, London
Doe TW, Korbin GE (1987) A comparison of hydraulic fracturing and hydraulic jacking stress measurements, 28th US Symp on Rock Mech, Tuscon, pp 283–290
Haimson BC, Cornet FH (2003) ISRM Suggested Methods for rock stress estimation—part 3: hydraulic fracturing (HF) and/or hydraulic testing of pre-existing fractures (HTPF). Int J Rock Mech Min Sci 40:1011–1020
Hazzard JF, Young RP, Oates SJ (2002) Numerical modeling of seismicity induced by fluid injection in a fractured reservoir, In: Proceedings of the 5th North American rock mechanics symposium mining and tunnel innovation and opportunity, Toronto, ON, Canada, 7–10 July 2002, pp 1023–1030
Healy JH, Zoback MD (1988) Hydraulic fracturing in-situ stress measurements to 2.1 km depth at Cajon Pass, California. Geophys Res Let 15:1005–1008
Hickman SH, Zoback MD (1983) The interpretation of hydraulic fracturing pressure-time data for in-situ stress determination. In: Zoback MD, Haimson BC (eds) Hydraulic fracturing measurements. National Academy Press, Washington D.C., pp 44–54
Hökmark H, Lönnqvist M, Fälth B (2010) THM-issues in repository rock. Thermal, mechanical, thermo-mechanical and hydro-mechanical evolution of the rock at the Forsmark and Laxemar sites. Technical report, TR-10-23, SKB Publications, 2010, updated 2011–10
Itasca Consulting Group Inc (2008) PFC2D version 4.0 manual (Particle flow code in 2 dimensions), Minneapolis, USA
Itasca Consulting Group Inc (2012) Technical memorandum to PFC2D (Particle Flow Code in 2 dimensions) version 4.0–5.0. Parallel bond enhancement, Minneapolis, USA
Labuz J, Zang A (2012) ISRM suggested methods for rock failure. Mohr–Coulomb failure criteria. Rock Mech Rock Eng 45:975–979
Lavrov A, Larsen I, Bauer A (2016) Numerical modelling of extended leak-off test with a pre-existing fracture. Rock Mech Rock Eng 49:1359–1368
Lemon M, Farkas MP, Korpai F, Dankó G (2016) Technical report of hydraulic fracturing tests. Conduction of geological research program required for paks II site permit, Golder Associates Hungary, Budapest, Hungary
Lin C, He J, Li X, Wan X, Zheng B (2017) An experimental investigation into the effects of the anisotropy of shale on hydraulic fracture propagation. Rock Mech Rock Eng 50:543–554
Mas Ivars D, Potyondy DO, Pierce M, Cundall PA (2008) The smoot-joint contact model. In: Proceedings of the 8th World Congress on computational mechanics—5th European Congress on computation mechanics and applied science and engineering, Venice, Italy, 2008
Potyondy DO, Cundall PA (2004) A bonded-particle model for rock. Int J Rock Mech Min Sci 41:1329–1364
Shimizu H, Murata S, Ishida T (2011) The distinct element analysis for hydraulic fracturing in hard rock considering fluid viscosity and particle size distribution. Int J Rock Mech Min Sci 48:712–727
Stephansson O, Zang A (2012) ISRM suggested methods for rock stress estimation—part 5: establishing a model for the in-situ stress at a given site. Rock Mech Rock Eng 45:955–969
Yoon JS, Zang A, Stephansson O (2014) Numerical investigation on optimized stimulation of intact and naturally fractured deep geothermal reservoirs using hydro-mechanical coupled discrete particles joints model. Geothermics 52:165–184
Yoon JS, Zang A, Stephansson O, Hofmann H, Zimmermann G (2017) Discrete element modelling of hydraulic fracture propagation and dynamic interaction with natural fractures in hard rock. Proc Eng 191:1023–1031
Zang A, Berckhemer H (1993) Classification of crystalline drill cores from the KTB deep well based on strain, velocity and fracture experiments. Int J Rock Mech Min Sci 30(4):331–342
Zang A, Stephansson O (2010) Stress field of the Earth’s crust. Springer, Dordrecht
Zang A, Stephansson O, Heidbach O, Janouschkowetz S (2012) World stress map data base as a resource for rock mechanics and rock engineering. Geotech Geol Eng 30(3):625–646
Zhou J, Zhang L, Braun A, Han Z (2016a) Numerical modeling and investigation of fluid-driven fracture propagation in reservoirs based on a modified fluid-mechanically coupled model in two-dimensional particle flow code. Energies 9(9):699
Zhou L, Ding L, Guo Q (2016b) Indoor experiments on the effect of the slurry on the in-situ stress measurement results, In: Johansson E, Raasakka V (eds) Symposium proceedings, 7th international symposium on in-situ stress, Tampere, Finland, May 10–12, 2016, pp 235–246
Zoback MD (2010) Reservoir geomechanics. Cambridge University Press, Cambridge
Acknowledgements
The authors would like to thank Golder Associates Hungary for the financial support provided to this research.
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Farkas, M.P., Yoon, J.S., Zang, A. et al. Effect of Foliation and Fluid Viscosity on Hydraulic Fracturing Tests in Mica Schists Investigated Using Distinct Element Modeling and Field Data. Rock Mech Rock Eng 52, 555–574 (2019). https://doi.org/10.1007/s00603-018-1598-7
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DOI: https://doi.org/10.1007/s00603-018-1598-7