Numerical study of long-time growth of hydraulic fractures in a line drive

Geomechanics for Energy and the Environment - Tập 29 - Trang 100270 - 2022
J.L. Mogensen1, C.F. Niordson1, C.S. Andreasen1, O. Jørgensen2
1Department of Mechanical Engineering, Section of Solid Mechanics, Technical University of Denmark, DK-2800, Kongens Lyngby, Denmark
2Total Upstream Danmark A/S, Amerika Plads 29, 2100 Copenhagen, Denmark

Tài liệu tham khảo

Perkins, 1961, Widths of hydraulic fractures, J Pet Technol, 13, 937, 10.2118/89-PA Nordgren, 1970, Propagation of a vertical hydraulic fracture, J Pet Technol, 22, 1052 Geertsma, 1969, A rapid method of predicting width and extent of hydraulically induced fractures, J Pet Technol, 21, 1571, 10.2118/2458-PA Settari, 1984, Three-dimensional simulation of hydraulic fracturing, J Pet Technol, 36, 1177, 10.2118/10504-PA Advani, 1990, Three-dimensional modeling of hydraulic fractures in layered media. Part I. Finite element formulations, J Energy Resour Technol Trans ASME, 112, 1, 10.1115/1.2905706 Clifton, 1981, Variational approach to the prediction of the three-dimensional geometry of hydraulic fractures, 457 Barree, 1983, Practical numerical simulator for three-dimensional fracture propagation in heterogeneous media, 403 Boone, 1990, A numerical procedure for simulation of hydraulically-driven fracture propagation in poroelastic media, Int J Numer Anal Methods Geomech, 14, 27, 10.1002/nag.1610140103 Bažant, 2014, Why fracking works, J Appl Mech Trans ASME, 81, 10.1115/1.4028192 Remij, 2015, The enhanced local pressure model for the accurate analysis of fluid pressure driven fracture in porous materials, Comput Methods Appl Mech Engrg, 286, 293, 10.1016/j.cma.2014.12.025 Remij, 2015, A partition of unity-based model for crack nucleation and propagation in porous media, including orthotropic materials, Transp Porous Media, 106, 505, 10.1007/s11242-014-0399-z Liu, 2019, Numerical simulation of hydraulic fracture propagation in deep reservior, Zhongguo Kexue Jishu Kexue/Sci Sin Technol, 49, 223 Bergkamp, 2020, A staggered finite element procedure for the coupled Stokes–Biot system with fluid entry resistance, Comput Geosci, 24, 1497, 10.1007/s10596-019-09931-7 Rivas, 2020, A monolithic coupled hydraulic fracture model with proppant transport, Comput Methods Appl Mech Engrg, 372, 10.1016/j.cma.2020.113361 Song, 2018, An extended J-integral for evaluating fluid-driven cracks in hydraulic fracturing, J Rock Mech Geotech Eng, 10, 832, 10.1016/j.jrmge.2018.04.009 Chen, 2000, A modified j integral for functionally graded materials, Mech Res Commun, 27, 301, 10.1016/S0093-6413(00)00096-3 Detournay, 1993, 5 - fundamentals of poroelasticity, Anal Des Methods, 113 Terzaghi, 1923, Die berechnug der durchlassigkeit des tones aus dem verlauf der hydromechanischen spannungserscheinungen, Sitzungsber Akad Wiss(Wien) Math-Naturwiss Kl Abt Iia, 132, 125 Brevik, 2016 Jelitto, 2019, Fracture toughness of porous materials – Experimental methods and data, Data Brief, 23, 10.1016/j.dib.2019.103709 Atkinson, 1984, Subcritical crack growth in geological materials, J Geophys Res, 89, 4077, 10.1029/JB089iB06p04077 Rice, 1968, A path independent integral and the approximate analysis of strain concentration by notches and cracks, J Appl Mech, 35, 379, 10.1115/1.3601206 Shih, 1986, Energy release rate along a three-dimensional crack front in a thermally stressed body, Int J Fract, 30, 79, 10.1007/BF00034019 Zienskiewicz, 1982, Basic formulation of static and dynamic behaviour of soil and other porous media, NATO Adv Study Inst Ser Ser C: Math Phys Sci, 92 Dons, 2007, Observations and quantitative analyses of waterflood patterns in a chalk reservoir using seismic data, halfdan field, Danish north sea, 203 Jørgensen, 2002, Using flow induced stresses for steering of injection fractures, 517 Albrechtsen, 2001, Halfdan: Developing non-structurally trapped oil in north sea chalk, 75 Gram, 2020, Water-flooding and consolidation of reservoir chalk – effect on porosity and Biot’s coefficient, Geophys Prospect Fabricius, 2020, Porosity in chalk – roles of elastic strain and plastic strain, Sedimentology, 67, 3451, 10.1111/sed.12750 Sutherland, 1974, A characterization of ten hidden-surface algorithms, Comput Surv, 6, 1, 10.1145/356625.356626 Remij, 2015, Numerical modelling of hydraulic fracturing, 1719 Fabricius, 2007, Chalk: composition, diagenesis and physical properties, Bull Geol Soc Den, 55, 97 Li, 1985, A comparison of methods for calculating energy-release rates, Eng Fract Mech, 21, 405, 10.1016/0013-7944(85)90029-3