[3] Pang, Yu, Mohamed Y Soliman, Hucheng Deng, and Hossein Emadi (2017) Analysis of effective porosity and effective permeability in shale-gas reservoirs with consideration of gas adsorption and stress effects, SPE journal. 22(06). 1739-1759. DOI:
http://dx.doi.org/10.2118/180260-PA.
[4] Guo, Tiankui, Songjun Tang, Shun Liu, Xiaoqiang Liu, Jianchun Xu, Ning Qi, and Zhenhua Rui (2021) Physical simulation of hydraulic fracturing of large-sized tight sandstone outcrops, SPE journal. 26(01). 372-393. DOI:
http://dx.doi.org/10.2118/204210-PA.
[6] Sun, Shanhui, Meihua Zhou, Wei Lu, and Afshin Davarpanah (2020) Application of symmetry law in numerical modeling of hydraulic fracturing by finite element method, Symmetry. 12(7). 1122. DOI:
http://dx.doi.org/10.3390/sym12071122.
[7] Schultz, Ryan, Robert J Skoumal, Michael R Brudzinski, Dave Eaton, Brian Baptie, and William Ellsworth (2020) Hydraulic fracturing‐ induced seismicity, Reviews of Geophysics. 58(3). e2019RG000695. DOI:
https://doi.org/10.1029/2019RG000695.
[8] Ahmadi, Amin, Mohsen Saemi, Alireza Shahnazi, Mohammad Hossein Shahmoradi, and Abdollah Molaghab (2024) Geomechanical methods for pore pressure prediction in complex geological structures: a case study of a field in southwest of Iran, Arabian Journal of Geosciences. 17(10). 283. DOI:
https://doi.org/10.1007/s12517-024-12093-1.
[10] Ramadhan, Dimas, Hidayat Tulloh, and Cahyadi Julianto (2020) Analysis Study of The Effect in Selecting Combination of Fracturing Fluid Types and Proppant Sizes On Folds Of Increase (FOI) To Improve Well Productivity, Journal of Petroleum and Geothermal Technology. 1(2). 92-99. DOI:
http://dx.doi.org/10.31315/jpgt.v1i2.3886.
[12] Wang, Zhiqi, Qingjie Guo, Xinmin Liu, and Changqing Cao (2007) Low temperature pyrolysis characteristics of oil sludge under various heating conditions, Energy & Fuels. 21(2). 957-962. DOI:
http://dx.doi.org/10.1021/ef060628g.
[13] van de Poll, Student JAN and H Garikapati (2019) Bayesian inference for the PKN hydraulic fracturing model.
[14] Meyer, BR.(1986) Design formulae for 2-D and 3-D vertical hydraulic fractures: model comparison and parametric studies. in SPE Unconventional Gas Technology Symposium. OnePetro.
[15] Knudsen, MJ (2012) Extraction of Natural Gas by Hydraulic Fracturing, University of Florida. 201. 11-12.
[16] Riley, MF, WE Brigham, and RN Horne.(1991) Analytic solutions for elliptical finite- conductivity fractures. in SPE Annual Technical Conference and Exhibition. OnePetro. DOI:
https://doi.org/10.2118/26912-MS.
[17] Clark, KK (1968) Transient pressure testing of fractured water injection wells, Journal of petroleum technology. 20(06). 639-643. DOI:
https://doi.org/10.2118/1821-PA.
[18] Hubbert, M King and David G Willis (1957) Mechanics of hydraulic fracturing, Transactions of the AIME. 210(01). 153-168. DOI:
https://doi.org/10.2118/686-G.
[19] Song, Insun, Mancheol Suh, Kyoung Sik Won, and Bezalel Haimson (2001) A laboratory study of hydraulic fracturing breakdown pressure in tablerock sandstone, Geosciences Journal. 5(3). 263-271. DOI:
http://dx.doi.org/10.1007/BF02910309
[20] De Pater, CJ and LJL Beugelsdijk.(2005) Experiments and numerical simulation of hydraulic fracturing in naturally fractured rock. in Alaska Rocks 2005, The 40th US Symposium on Rock Mechanics (USRMS). OnePetro.
[21] Carvalho, Eulher C, Marko AL Bendezu, Maria FF de Oliveira, Deane M Roehl, and Luis C de Sousa Jr (2010) Finite element modeling of hydraulic fracturing in vertical wells, Mecânica Computacional. 29(88). 8571-8578.
[22] Bourdin, Blaise, Gilles A Francfort, and Jean-Jacques Marigo (2000) Numerical experiments in revisited brittle fracture, Journal of the Mechanics and Physics of Solids. 48(4). 797-826. DOI:
http://dx.doi.org/10.1016/S0022-5096(99)00028-9
[24] Miehe, Christian, Fabian Welschinger, and Martina Hofacker (2010) Thermodynamically consistent phase‐ field models of fracture: Variational principles and multi‐ field FE implementations, International journal for numerical methods in engineering. 83(10). 1273-1311. DOI:
http://dx.doi.org/10.1002/nme.2861.
[25] Schlüter, Alexander, Adrian Willenbücher, Charlotte Kuhn, and Ralf Müller (2014) Phase field approximation of dynamic brittle fracture, Computational Mechanics. 54(5). 1141-1161. DOI:
http://dx.doi.org/10.1007/s00466-014-1045-x.
[26] Wu, Huimei, Nan Zhang, Yishan Lou, Xiaopeng Zhai, Bin Liu, and Song Li (2024) Optimization of fracturing technology for unconventional dense oil reservoirs based on rock brittleness index, Scientific Reports. 14(1). 15214. DOI:
http://dx.doi.org/10.1038/s41598-024-66114-w.
[27] Wang, Jue, Genbo Peng, Lei Zhang, Ziyuan Cong, and Buqin Hu (2024) Simulation and optimization of unstable dynamic propagation of multiple fractures in the shale formation, Frontiers in Earth Science. 12. 1394491. DOI:
http://dx.doi.org/10.3389/feart.2024.1394491.
[28] Jia, Jing, Qinghu Fan, Jianglu Jing, Kehui Lei, and Lichang Wang (2024) Intelligent hydraulic fracturing under industry 4.0—a survey and future directions, Journal of Petroleum Exploration and Production Technology. 1-21. DOI:
http://dx.doi.org/10.1007/s13202-024-01877-6.
[29] Miller, Susan LM and Robert R Stewart (1991) The relationship between elastic-wave velocities and density in sedimentary rocks: A proposal, Crewes Res. Rep. 260-273.
[30] Luo, Xuan, Patrick Were, Jianfeng Liu, and Zhengmeng Hou (2015) Estimation of Biot’s effective stress coefficient from well logs, Environmental earth sciences. 73(11). 7019-7028. DOI:
http://dx.doi.org/10.1007/s12665-015-4219-8.
[31] WurohTimbo, Mohamed, An improved methodology on wellbore stability prediction using geomechanical analysis. 2012, UNIVERSITI TEKNOLOGI PETRONAS.
[32] Bailin, Wu.(2001) Boit's effective stress coefficient evaluation: static and dynamic approaches. in ISRM International Symposium-2nd Asian Rock Mechanics Symposium. OnePetro. DOI:
http://dx.doi.org/10.1201/9781003077510-85.
[33] Rickman, Rick, Michael J Mullen, James Erik Petre, William Vincent Grieser, and Donald Kundert.(2008) A practical use of shale petrophysics for stimulation design optimization: All shale plays are not clones of the Barnett Shale. in SPE annual technical conference and exhibition. Society of Petroleum Engineers. DOI:
http://dx.doi.org/10.2118/115258-MS.
[35] Crafton, James W.(1997) Oil and gas well evaluation using the reciprocal productivity index method. in SPE Production Operations Symposium. OnePetro. DOI:
http://dx.doi.org/10.2118/37409-MS.
[36] Diyashev, Iskander R and Michael J Economides (2006) The dimensionless productivity index as a general approach to well evaluation, SPE Production & Operations. 21(03). 394-401. DOI:
http://dx.doi.org/10.2118/94644-PA.
[37] Zeng, F and G Zhao (2007) Well testing analysis for variable permeability reservoirs, Journal of Canadian Petroleum Technology. 46(02). DOI:
http://dx.doi.org/10.2118/2004-037.