Article
Mechanics
L. A. T. Mororo, A. Poot, F. P. van der Meer
Summary: This paper introduces a generalized framework for the Thick Level Set method (TLSV2) and addresses two major issues with the method. The TLSV2 combines continuum damage modeling and discrete cohesive crack modeling to handle different types of cracks and allow for stiffness recovery upon contact.
ENGINEERING FRACTURE MECHANICS
(2022)
Article
Mathematics, Applied
L. A. T. Mororo, F. P. van der Meer
Summary: The thick level set (TLS) method is proposed as a nonlocal damage model for failure in solids, addressing crack initiation, branching, and merging. The nonlocality of TLS is achieved through a characteristic length. This paper introduces a domain decomposition method for a parallel implementation of TLS, proposing appropriate parallel strategies for numerical features specific to TLS analysis steps. Results demonstrate the accuracy and efficiency of the proposed framework for parallel computing with TLS.
SIAM JOURNAL ON SCIENTIFIC COMPUTING
(2021)
Article
Engineering, Multidisciplinary
Andrea Piccolroaz, Daniel Peck, Michal Wrobel, Gennady Mishuris
Summary: Linear Elastic Fracture Mechanics assumes crack faces are traction-free, but in some practical situations crack boundaries may have singular loads, affecting the calculation of Energy Release Rate.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2021)
Article
Physics, Fluids & Plasmas
Danielle L. Chase, Ching-Yao Lai, Howard A. Stone
Summary: The relaxation dynamics of a fluid-filled blister between an elastic sheet and a porous substrate are controlled by various factors, including the deformation of the elastic sheet, the viscous stresses in the pores, and the capillary pressure at the liquid-air interface. Two drainage regimes were identified in the study, driven primarily by the stresses in the deformed elastic sheet or by the imbibition of liquid into the pore space, depending on the thickness of the sheet and permeability of the substrate. Both the mathematical model and experiments conducted are relevant to understanding fluid-driven fractures in porous media.
PHYSICAL REVIEW FLUIDS
(2021)
Article
Engineering, Geological
Q. Zhou, H. P. Xie, Z. M. Zhu, R. He, H. J. Lu, Z. D. Fan, X. F. Nie, L. Ren
Summary: Insight into the anisotropic fracture properties of shale under high in situ stress is given through a series of hydraulic fracturing tests on double wing crack specimens of Longmaxi shale. The study finds that the fracture resistance of shale significantly increases with confining pressure, and both fracture toughness and fracture energy exhibit remarkable anisotropies. The study also highlights the influence of in situ stress on shale fracture anisotropy, which should be carefully considered in hydraulic fracturing design.
ROCK MECHANICS AND ROCK ENGINEERING
(2023)
Article
Engineering, Geological
Hau Trung Dang, Inga Berre, Eirik Keilegavlen
Summary: In this paper, a mathematical model and numerical solution approach are presented for coupling fluid flow with fracture shearing and propagation induced by fluid injection in fractured poroelastic media under high differential stress. The strong coupling between hydraulic and mechanical processes, the material discontinuity represented by fractures, and the significant effect of fracture deformation and propagation on the physical processes are the main numerical challenges addressed in this study. The solution approach involves a two-level strategy, where the coarse level accounts for the coupling of flow and poroelastic deformation with fracture contact mechanics, and the fine level handles fracture propagation triggered by the maximum tangential stress criterion and governed by Paris' law. The simulations demonstrate the relationship between fracture shearing and propagation due to fluid injection, including cases with hydraulically and mechanically interacting fractures.
INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES
(2022)
Article
Chemistry, Multidisciplinary
Zeeshan Tariq, Bicheng Yan, Shuyu Sun, Manojkumar Gudala, Murtada Saleh Aljawad, Mobeen Murtaza, Mohamed Mahmoud
Summary: In this study, machine learning models were efficiently utilized to predict the breakdown pressure of unconventional rocks. A comprehensive hydraulic fracturing experimental study was conducted on various rock specimens, and the rock mechanical properties and experimental conditions were correlated using machine learning techniques. The accuracy of all machine learning models was similar, with an accuracy of 95% in predicting the breakdown pressure. The proposed methodology can minimize experimental costs and be used as a quick assessment tool for evaluating the development prospect of unconventional tight rocks.
Article
Engineering, Geological
Edoardo Pezzulli, Morteza Nejati, Saeed Salimzadeh, Stephan K. Matthai, Thomas Driesner
Summary: This article revisits the formulation of the J-integral in hydraulic fracture mechanics and presents two novel contributions. The first contribution is two variations of the J-integral that accurately predict viscosity-dominated propagation. The second contribution is a methodology to extract the propagation velocity from the energy release rate applicable throughout the toughness-viscous propagation regimes. These techniques are combined to form an algorithm capable of quickly converging on the location of the fracture front independently to the toughness-viscous regime of propagation.
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
(2022)
Article
Engineering, Environmental
Amir Mohamadi, Mahmoud Behnia, Mahmoud Alneasan
Summary: The study focuses on determining crustal stress using hydraulic fracturing and fracture mechanics methods, finding that stress magnitudes calculated by fracture mechanics approach are greater than those by classical methods. The research also investigates the impact of crack inclination angle and length on stress magnitudes, and analyzes the distribution of fluid pressure along cracks and its influence on stress intensity factor in crack tips.
BULLETIN OF ENGINEERING GEOLOGY AND THE ENVIRONMENT
(2021)
Article
Geochemistry & Geophysics
Keita Yoshioka, Masafumi Katou, Kohei Tamura, Yutaro Arima, Yoshiharu Ito, Youqing Chen, Tsuyoshi Ishida
Summary: Hydraulic fractures often interact with preexisting discontinuities in the rock mass, and the criteria for fracture penetration or deflection are typically based on the in situ stress and the characteristics of the discontinuities. However, experiments on carbonate rocks show that fractures more frequently deflect at grain boundaries as they propagate farther from the wellbore, which is not explained by the conventional criteria. Our study demonstrates that the energy dissipation of a deflecting fracture increases with the distance from the wellbore, making it energetically more favorable for a fracture to deflect at a discontinuity. This highlights the importance of energetic stability analysis for determining fracture paths.
JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH
(2023)
Article
Geochemistry & Geophysics
Aleksei Titov, Gary Binder, Youfang Liu, Ge Jin, James Simmons, Ali Tura, David Monk, Grant Byerley, Mike Yates
Summary: The study focuses on optimizing well spacings and completions in unconventional reservoir development, using VSP survey data acquired in 2017 with fiber-optic-based distributed acoustic sensing technology. Scattered seismic waves associated with hydraulic fractures were observed, with the LVZ model showing the best fit for the data. A new approach was developed to estimate SRV characteristics and HF closure time, providing cost-effective real-time monitoring of hydraulic fracturing operations and critical constraints on unconventional field development.
Article
Engineering, Petroleum
Xiaohua Wang, Fengshou Zhang, Meirong Tang, Xianfei Du, Jizhou Tang
Summary: Multistage fracturing with multiwell pads (MSFMP) is an essential technology for the efficient development of unconventional oil and gas reservoirs. This study proposes an integrated method for calculating the stress shadow caused by MSFMP and determining optimal completion parameters for infill horizontal wells in the unstimulated connecting area between two well pads.
Article
Engineering, Chemical
Shuanlin Wang, Jianqiao Luo
Summary: The clean utilization and green development of coal resources have become a research focus in recent years. Underground hydraulic fracturing technology in coal mines has been widely used in various applications. The stress field and fracture expansion trend are greatly influenced by the in situ stress types and stress shadow effect between boreholes. Therefore, establishing a mechanical model and conducting numerical simulations are effective methods to study these effects. One important advance of this paper is the analysis of the shadow effect on the evolution of the stress field and plastic zone using rock mechanics and fracture mechanics. Based on the engineering background and geological conditions, a suitable parameter selection for hydraulic fracturing in the Yushen mining area is suggested.
Review
Energy & Fuels
Hai T. Nguyen, Jang Hyun Lee, Khaled A. Elraies
Summary: The pseudo-three-dimensional (P3D) approach serves as an efficient computational tool in hydraulic fracture modeling, bridging the gap between two-dimensional and three-dimensional models. The evolution of P3D modeling and its application in complex fracture network models for shale oil and gas reservoirs has been discussed, with simulations showing good validation of the numerical algorithm and the impact of variable injection rates on fracture propagation.
JOURNAL OF PETROLEUM EXPLORATION AND PRODUCTION TECHNOLOGY
(2022)
Article
Engineering, Geological
Shayan Maleki, Virgilio Fiorotto
Summary: This paper presents a novel method for hydraulic brittle fracture propagation in a rock mass subjected to high-frequency fluctuating pressures. The study demonstrates that fluctuating pressures inside rock fissures can lead to brittle fractures. The results of this study improve the application of Discrete Fracture Network Software in dams and hydropower engineering.
ROCK MECHANICS AND ROCK ENGINEERING
(2021)
Article
Engineering, Geological
Xianfeng Song, Ole Morten Aamo, Pascal-Alexandre Kane, Emmanuel Detournay
Summary: This paper proposes a phenomenological model to explain the optimal weight-on-bit phenomenon in percussive drilling, attributing it to the increase of pseudo-stiffness at the bit-rock interface with increasing weight on bit. Experimental evidence suggests that drilling efficiency is closely related to this phenomenon.
ROCK MECHANICS AND ROCK ENGINEERING
(2021)
Article
Mechanics
Yue Gao, Emmanuel Detournay
Summary: Experimental evidence shows that the measured toughness increases with confining stress. However, interpreting the observed breakdown pressure relies on assuming uniform fluid pressure in the cracks and identifying the peak pressure with fracture initiation pressure. The model challenges these assumptions by considering fluid lag and hydraulic compliance, indicating that the actual toughness may be overestimated when the breakdown pressure is used to interpret it.
ENGINEERING FRACTURE MECHANICS
(2021)
Article
Mechanics
Zhi-Qiao Wang, Emmanuel Detournay
Summary: This paper investigates the motion of a liquid blister trapped between an elastic sheet and a rigid substrate, driven by a frictionless blade. The study aims to evaluate the force applied by the blade on the moving blister, with solutions depending on two controlling numbers. The results show that for small gaps, the force is dominated by viscous dissipation, while for larger gaps, the force depends on both toughness and gap size.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Engineering, Geological
Emmanuel Detournay, Yera Hakobyan
Summary: The paper presents a KGD-type model for hydraulic fracture in weak, poorly consolidated rocks, with a key assumption that the hydraulic fields are quasi-stationary. The model shows the growth of fracture as a square root of time and the transition between early and late time asymptotic flow regimes.
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
(2022)
Article
Engineering, Multidisciplinary
Zhi-Qiao Wang, Emmanuel Detournay
Summary: This paper investigates the dynamics of a liquid blister forced to advance between a thin elastic sheet and a rigid substrate by the dual action of a piston and a flat frictionless sleeve. The study focuses on the dependence of external driving force on blister velocity, fluid viscosity, elastic properties of the sheet, and interface toughness, with a particular emphasis on the Eshelbian nature of the horizontal driving force. The numerical and asymptotic solutions predict the scaled horizontal force on the moving liquid blister and highlight the importance of three key numbers in controlling the solution.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2022)
Article
Engineering, Geological
Arviandy G. Aribowo, Roeland Wildemans, Emmanuel Detournay, Nathan Van de wouw
Summary: This paper extends the drag (PDC) bit interface laws for homogeneous rocks to the transition between two rock layers with distinct mechanical properties. A model is formulated to establish the relationships between the weight-on-bit, torque-on-bit, depth-of-cut per bit revolution, and engagement parameter of the bit in the lower rock layer. The paper shows that the drilling efficiency depends nonlinearly on the bit engagement between the two rock layers.
INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES
(2022)
Article
Mechanics
Yue Gao, Emmanuel Detournay
Summary: This paper describes a two-dimensional model of a hydraulic fracture propagating in a weakly consolidated, highly permeable reservoir rock during a waterflooding operation. The model highlights essential differences from conventional hydraulic fracturing treatments of oil and gas wells and reveals the non-monotonic evolution of injection pressure over time. Poroelasticity significantly affects the response of the system, increasing injection pressure and delaying the time at which the peak pressure occurs.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Energy & Fuels
Kaixiao Tian, Emmanuel Detournay
Summary: This paper extends the class of models simulating self-excited vibrations in a rotary drilling system by considering different types of PDC bits, and proposes algorithms to address technical challenges. Linear stability analysis is based on geometric variations of the bit/rock engagement surfaces to determine critical rotation speeds for different stability regions.
JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING
(2021)
Article
Engineering, Manufacturing
Kaidong Chen, He Zhang, Nathan van de Wouw, Emmanuel Detournay
Summary: This paper introduces a method for describing the milled surface using a surface function and accurately computing the instantaneous undeformed chip thickness (IUCT). The method overcomes the inaccuracies of traditional models and shows promise for computing the IUCT in milling processes.
JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING-TRANSACTIONS OF THE ASME
(2022)
Article
Mathematics, Applied
He Zhang, Emmanuel Detournay
Summary: This paper analyzes the self-excited axial and torsional vibrations of rotary drilling systems using a complex mathematical model that combines the drilling structure with a rate-independent bit-rock interface law. By utilizing an algorithm to convert the system of PDE-ODEs into a system of coupled ODEs and linearizing the system for stability analysis, the paper concludes that the effects of damping on the stability of drilling system is generally negligible in the range of practical drilling parameters. Extensive parametric studies have shown that bit wearflats play a crucial role in delaying or suppressing torsional stick-slip oscillations.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2022)
Article
Mechanics
He Zhang, Jia-Liang Le, Emmanuel Detournay
Summary: This paper reports the results of scratch tests on three different rocks, showing the existence of three cutting regimes with different fragment shapes and specific energy-depth relationships. It also provides evidence from video recording and fractography to distinguish different failure modes.
ENGINEERING FRACTURE MECHANICS
(2022)
Article
Mechanics
Anthony Peirce, Emmanuel Detournay
Summary: The deflation dynamics of a fluid-driven fracture in a permeable elastic medium are investigated in this study. The research findings show that the deflation of the fracture is influenced by the leak-off characteristics of the porous medium and the stress intensity factor of the fracture. A numerical scheme is established to explore the deflation dynamics of plane strain hydraulic fractures, and scaling analysis reveals the existence of asymptotic power law behaviors for various quantities.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2022)
Article
Mechanics
Anthony Peirce, Emmanuel Detournay
Summary: This paper discusses the construction of tip asymptotes for a hydraulic fracture in a permeable elastic medium. It describes the changing nature of the asymptotic fields during the arrest and recession phases of the fracture after fluid injection has ended. The paper shows that as the fracture deflates, the dominance of the linear elastic fracture mechanics tip asymptote shrinks, giving way to an intermediate asymptote. The front velocity affects the development of a linear asymptote at the fracture tip, with the intermediate asymptote reappearing. These universal multiscale asymptotes are crucial for determining the decaying stress intensity factor, transition from arrest to recession, and front velocity during recession using computational algorithms.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Engineering, Geological
Jithin S. Kumar, Abhijit Chaudhuri, Emmanuel Detournay, Ramesh Kannan Kandasami
Summary: In this study, a model is proposed to analyze the deformation around a cylindrical cavity caused by fluid injection. The study investigates the solution in different phases and introduces a time-dependent permeation coefficient and four time-dependent variables to solve the problem. A parametric analysis of the influence of material stiffness and strength on the solution is conducted.
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
(2023)
Article
Mechanics
Anthony Peirce, Emmanuel Detournay
Summary: This paper explores approximate 'sunset' similarity solutions for receding hydraulic fractures in permeable elastic media. It shows that the linear aperture of a receding hydraulic fracture has a linear asymptote and can be described by polynomial solutions. The paper also demonstrates that the sunset solution forms an attractor for a wide range of hydraulic fractures as they approach closure. Furthermore, the paper finds that the sunset solution is dependent on only one material parameter, the leak-off coefficient, which can be determined through laboratory or field measurements.
JOURNAL OF FLUID MECHANICS
(2022)