[1] Veatch, R. W., Jr., & Moschovidis, Z. A. (1986). An
overview of recent advances in hydraulic fracturing
technology. Society of Petroleum Engineers (SPE
14085). DOI: 10.2118/14085-MS.
[2] Medinas, M. T. L. F., Pereira, M. J. C., et al. (2015).
An extended finite element method (XFEM) approach
to hydraulic fractures.
[3] Ademola, O. R. (2020). Unconventional reservoir.
Seminar submitted to the Department of Geophysics,
University of Ilorin, Ilorin, Nigeria, in partial
fulfillment of the requirements for the award of the
Bachelor of Science (B.Sc. Hons.) degree in
Geophysics.
[4] Lake, L. W. (Ed.). (2007). Petroleum Engineering
Handbook: Production Operations Engineering (Vol.
4). Society of Petroleum Engineers.
[5] Montgomery, C. T., et al. (2010). Hydraulic
fracturing: An enduring technology. Retrieved from
http://store.spe.org/Legendsof-Hydraulic-
[6] Chen, Z. (2013). An ABAQUS implementation of
the XFEM for hydraulic fracture problems. In ISRM
International Conference for Effective and Sustainable
Hydraulic Fracturing 2013 (pp. 725–739). DOI:
10.5772/56287.
[7] Moradi, A., Tokhmchi, B., & Fatehi Marji, M.
(2016). Indirect boundary element analysis of hydraulic
fracturing and natural fractures in hydrocarbon
reservoirs. Research on Analytical and Numerical
Methods in Mining Engineering, 11. (in Persian).
[8] Abdollahipour, A., Fatehi Marji, M., Yarahmadi
Bafghi, A., & Gholamnejad, J. (2016). Numerical
investigation of effect of crack geometrical parameters
on hydraulic fracturing process of hydrocarbon
reservoirs. Journal of Mining & Environment, 7(2),
205–214. DOI: 10.22044/jme.2016.532.
[9] Cruz, F., Roehl, D., & Vargas, E. do A. (2019). An
XFEM implementation in Abaqus to model
intersections between fractures in porous rocks.
Computers and Geotechnics, 112, 135–146. DOI:
10.1016/j.compgeo.2019.04.014.
[10] Dontsov, E. V., & Suarez-Rivera, R. (2020).
Propagation of multiple hydraulic fractures in different
regimes. International Journal of Rock Mechanics and
Mining Sciences, 128. DOI:
10.1016/j.ijrmms.2020.104270.
[11] Azarov, A., Patutin, A., & Serdyukov, S. (2021).
Hydraulic fracture propagation near the cavity in a
poroelastic media. Applied Sciences, 11(22). DOI:
10.3390/app112211004.
[12] Haidari, M., Fatehi Marji, M., & Merzaian, Y.
(2022). Investigation of the effect of in situ and porosity
stresses on crack growth mechanism in hydraulic
fracturing by the displacement discontinuity numerical
method. Journal of Petroleum Geomechanics. DOI:
10.22034/anm.2024.21058.1620. (in Persian).
[13] Zeerak, M. R., Fatehi Marji, M., & Sanei, M.
(2023, March). Investigating hydraulic fracture models
for production enhancement of unconventional
hydrocarbon reservoirs. In Proceedings of the 4th
National Petroleum Geomechanics Conference.
Retrieved from https://civilica.com/doc/1618288/
[14] Fatehi Marji, M., Lak, M., & Sanei, M. (2023). The
explosive fracturing technique analysis for highly low
permeable reservoirs using analytical, displacement
discontinuity, and finite difference coupled method.
Journal of Petroleum Geotechnics. DOI:
10.22107/JPG.2023.412506.1208.
[15] Esfandiari, M., & Pak, A. (2023). XFEM modeling
of the effect of in-situ stresses on hydraulic fracture
characteristics and comparison with KGD and PKN
models. Journal of Petroleum Exploration and
Production Technology, 13(1), 185–201. DOI:
10.1007/s13202-022-01545-7.
[16] Zeerak, M. R., Fatehi Marji, M., Sanei, M., Najafi,
M., & Abdollahipour, A. (2025). Numerical modeling
of hydraulic fracturing for crack growth mechanism
investigation in rocks using XFEM with a BEM-based
verification. Journal of Mining and Environment. DOI:
10.22044/jme.2025.15836.3047.
[17] Yazdani, M., Fatehi Marji, M., Najafi, M., & Sanei,
M. (2025). Simulating the hydraulic fracturing
mechanism around hydrocarbon wellbores with
emphasis on its effects on sand production. Journal of
Mining and Environment, 16(1), 241–258. DOI:
10.22044/jme.2024.14049.2619.
[18] Feng, X., Fatehi Marji, M., & Abdollahipour, A.
(2017). Rock mechanics and engineering. Springer.
[19] Economides, M. J., & Nolte, K. G. (2000).
Reservoir stimulation (3rd ed.). John Wiley & Sons.
[20] Dassault Systèmes. (n.d.). Modeling fracture and
failure with Abaqus.
[21] Dassault Systèmes. (2020). Modeling fracture and
failure with Abaqus.
[22] Huang, R. Q., Wu, L. Z., & Li, B. (2019). Crack
initiation criteria and fracture simulation for precracked
sandstones. Advances in Materials Science and
Engineering, 2019. DOI: 10.1155/2019/9359410.
[23] Bui, Q. V. (2011). A modified Benzeggagh–
Kenane fracture criterion for mixed-mode
delamination. Journal of Composite Materials, 45(4),
389–413. DOI: 10.1177/0021998310376105.
[24] Kenane, M., & Benzeggagh, M. L. (1997). Mixedmode
delamination fracture toughness of unidirectional
glass/epoxy composites under fatigue loading.
Composites Science and Technology, 57, 597–605.
DOI: 10.1016/S0266-3538(97)00021-3.
[25] Moës, N., Dolbow, J., Belytschko, T., & Moës, N.
M. (1999). A finite element method for crack growth
without remeshing. International Journal for
Numerical Methods in Engineering, 46(1), 131–150.
DOI: 10.1002/(SICI)1097-
0207(19990910)46:13<131::AID-NME726>3.0.CO;2-
J.
[26] Chen, Z. (2013, June 16–21). Implementation of
the XFEM for hydraulic fracture problems. In
Proceedings of the 13th International Conference on
Fracture (ICF13), Beijing, China.
[27] Heydari, M., Reza, M., Emamqeysi, A., & Sanei,
M. (2022). Finite element analysis of wellbore stability
and optimum drilling direction and applying NYZA
method for a safe mud weight window. Analytical and
Numerical Methods in Mining Engineering, 11(29), 67–
76. DOI: 10.29252/ANM.2022.16945.1511.
[28] Babuška, I., & Rosenzweig, M. B. (1972). A finite
element scheme for domains with corners. Numerische
Mathematik, 20(1), 1–21. DOI: 10.1007/BF01436639.
[29] Grisvard, P. (2011). Elliptic problems in
nonsmooth domains. Society for Industrial and Applied
Mathematics (SIAM). DOI:
10.1137/1.9781611972030.
[30] Belytschko, T., & Black, T. (1999). Elastic crack
growth in finite elements with minimal remeshing.
International Journal for Numerical Methods in
Engineering, 45, 601–620.
[31] Experts of CAE Assistant Group. (n.d.). Extended
finite element method in Abaqus (XFEM tutorial).
[32] Duarte, A., & Simone, A. (n.d.). An introduction to
partition of unity and generalized finite element
methods.
[33] Mohammadi, S. (2008). Extended finite element
method for fracture analysis of structures. Blackwell
Publishing.
[34] Sepehri, J., Soliman, M. Y., Morse, S. M.,
Menouar, H., House, W., & Sheridan, M. (2014).
Application of extended finite element method (XFEM)
to simulate hydraulic fracture propagation from
oriented perforations. Society of Petroleum Engineers.
DOI: 10.2118/SPE-173342-MS.
[35] Lecampion, B., Bunger, A., & Zhang, X. (2018).
Numerical methods for hydraulic fracture propagation:
A review of recent trends. Journal of Natural Gas
Science and Engineering, 49, 66–83. DOI:
10.1016/J.JNGSE.2017.10.012.
[36] Budyn, É., Zi, G., Moës, N., & Belytschko, T.
(2004). A method for multiple crack growth in brittle
materials without remeshing. International Journal for
Numerical Methods in Engineering, 61(10), 1741–
1770. DOI: 10.1002/NME.1130.
[37] Abass, H. H., Meadows, D. L., Brumley, J. L.,
Hedayati, S., & Venditto, J. J. (1995). Oriented
perforations: A rock mechanics view. In Proceedings of
the Middle East Oil Show (Vol. 1, pp. 13–27). Society
of Petroleum Engineers. DOI: 10.2118/28555-MS