Application of Symmetry Law in Numerical Modeling of Hydraulic Fracturing by Finite Element Method

In this paper, influential parameters on the hydraulic fracturing processes in porous media were investigated. Besides, the simultaneous stimulation of solids, fluids and fractures geomechanical equations were numerically analyzed as a developed 3D model. To do this, the Abacus software was used as a multi-objective program to solve the physical-mechanical symmetry law governing equations, according to the finite element method. Two different layers, A (3104–2984 m) and B (4216–4326 m), are considered in the model. According to the result of this study, the maximum fracture opening length in the connection of the wall surface is 10 and 9 mm for layer B and layer A, respectively. Moreover, the internal fracture fluid pressure for layer B and layer A is 65 and 53 Mpa. It is indicated that fracture fluid pressure reduced with the increase in fracture propagation length. Consequently, the results of this study would be of benefit for petroleum industries to consider several crucial geomechanical characteristics in hydraulic fractures simultaneously as a developed numerical model for different formation layers to compare a comprehensive analysis between each layer.

[1]  R. P. Young,et al.  Distinct element modeling of hydraulically fractured Lac du Bonnet granite , 2005 .

[2]  Xi Zhang,et al.  Numerical methods for hydraulic fracture propagation: a review of recent trends , 2018 .

[3]  Alexei A. Savitski,et al.  Three-dimensional lattice simulation of hydraulic fracture interaction with natural fractures , 2019, Computers and Geotechnics.

[4]  David C. Tanner,et al.  Fault mechanics and earthquakes , 2020 .

[5]  Jun Yao,et al.  Numerical study of hydraulic fracture propagation accounting for rock anisotropy , 2018 .

[6]  Zhongbao Wu,et al.  Analytical Fracture Models for Overall Hydraulic Fracturing Reservoirs , 2019, International Journal of Oil, Gas and Coal Engineering.

[7]  Rick Chalaturnyk,et al.  The state of stress in SW Iran and implications for hydraulic fracturing of a naturally fractured carbonate reservoir , 2018 .

[8]  Thomas M. Missimer,et al.  Hydraulic Fracturing in Southern Florida: A Critical Analysis of Potential Environmental Impacts , 2020, Natural Resources Research.

[9]  Andrew Jenkins,et al.  Stress field behavior induced by hydraulic fracture in shale reservoirs: A practical view on cluster spacing , 2017 .

[10]  Zhenzhong Shen,et al.  A Hybrid Finite Volume and Extended Finite Element Method for Hydraulic Fracturing with Cohesive Crack Propagation in Quasi-Brittle Materials , 2018, Materials.

[11]  Afshin Davarpanah,et al.  A mathematical model to evaluate the polymer flooding performances , 2019, Energy Reports.

[12]  Wei Zhang,et al.  Optimization of reasonable production pressure drop of multi-stage fractured horizontal wells in tight oil reservoirs , 2018, Journal of Petroleum Exploration and Production Technology.

[13]  Reza Shirmohammadi,et al.  Analysis of hydraulic fracturing techniques: hybrid fuzzy approaches , 2019, Arabian Journal of Geosciences.

[14]  Pania Newell,et al.  A numerical-homogenization based phase-field fracture modeling of linear elastic heterogeneous porous media , 2020 .

[15]  Heng Zheng,et al.  Numerical investigation on the hydraulic fracture propagation based on combined finite-discrete element method , 2020 .

[16]  Shangxian Yin,et al.  In-situ stresses controlling hydraulic fracture propagation and fracture breakdown pressure , 2018 .

[17]  Fushen Liu,et al.  Modeling competing hydraulic fracture propagation with the extended finite element method , 2017 .

[18]  Renaud Toussaint,et al.  Dynamic Development of Hydrofracture , 2013, Pure and Applied Geophysics.

[19]  Yuanfang Cheng,et al.  Numerical modeling of hydraulic fracture propagation behaviors influenced by pre-existing injection and production wells , 2019, Journal of Petroleum Science and Engineering.

[20]  Afshin Davarpanah,et al.  Integrated production logging tools approach for convenient experimental individual layer permeability measurements in a multi-layered fractured reservoir , 2018, Journal of Petroleum Exploration and Production Technology.

[21]  Prashanth Siddhamshetty,et al.  Temporal clustering for order reduction of nonlinear parabolic PDE systems with time-dependent spatial domains: Application to a hydraulic fracturing process , 2017 .

[22]  V. E. Borisov,et al.  Incompletely Coupled Equations of Hydraulic Fracturing , 2018 .

[23]  Afshin Davarpanah,et al.  Mathematical modeling of injectivity damage with oil droplets in the waste produced water re-injection of the linear flow , 2019, The European Physical Journal Plus.

[24]  Mahmoud Memariani,et al.  An experimental study of acidizing operation performances on the wellbore productivity index enhancement , 2018, Journal of Petroleum Exploration and Production Technology.

[25]  Robert Gracie,et al.  Characterizing the Stimulated Reservoir Volume During Hydraulic Fracturing-Connecting the Pressure Fall-Off Phase to the Geomechanics of Fracturing , 2018, Journal of Applied Mechanics.

[26]  X. Li,et al.  Hydraulic fracturing under high temperature and pressure conditions with micro CT applications: Geothermal energy from hot dry rocks , 2018, Fuel.

[27]  Afshin Davarpanah,et al.  Experimental study and field application of appropriate selective calculation methods in gas lift design , 2018, Petroleum Research.

[28]  Hong Zheng,et al.  FDEM-flow3D: A 3D hydro-mechanical coupled model considering the pore seepage of rock matrix for simulating three-dimensional hydraulic fracturing , 2017 .

[29]  Afshin Davarpanah,et al.  A feasible visual investigation for associative foam >⧹ polymer injectivity performances in the oil recovery enhancement , 2018, European Polymer Journal.

[30]  N. Warner,et al.  The Geochemistry of Hydraulic Fracturing Fluids , 2017 .

[31]  Cong Lu,et al.  Numerical investigation of hydraulic fracture propagation in a layered reservoir using the cohesive zone method , 2017 .

[32]  Afshin Davarpanah,et al.  Feasible analysis of reusing flowback produced water in the operational performances of oil reservoirs , 2018, Environmental Science and Pollution Research.

[33]  Zaixu Zhang,et al.  Impact of anionic and cationic surfactants interfacial tension on the oil recovery enhancement , 2020, Powder Technology.

[34]  He Liu,et al.  Numerical simulation of hydraulic fracturing in orthotropic formation based on the extended finite element method , 2016 .

[35]  Fengshou Zhang,et al.  Investigating Hydraulic Fracturing Complexity in Naturally Fractured Rock Masses Using Fully Coupled Multiscale Numerical Modeling , 2019, Rock Mechanics and Rock Engineering.