Academic literature on the topic 'Fracture mechanics'

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Journal articles on the topic "Fracture mechanics"

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Zhang, Ying, Kai He, Jianming Yang, et al. "Mechanical, Seepage, and Energy Evolution Properties of Multi-Shaped Fractured Sandstone Under Hydro-Mechanical Coupling: An Experimental Study." Minerals 15, no. 3 (2025): 215. https://doi.org/10.3390/min15030215.

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Rocks with multi-shaped fractures in engineering activities like mining, underground energy storage, and hydropower construction are often exposed to environments where stress and seepage fields interact, which heightens the uncertainty of instability and failure mechanisms. This has long been a long-standing challenge in the field of rock mechanics. Current research mainly focuses on the mechanical behavior, seepage, and energy evolution characteristics of single-fractured rocks under hydro-mechanical coupling. However, studies on the effects of multi-shaped fractures (such as T-shaped fractu
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Zhang, Hai Yong, Shun Li He, Guo Hua Luan, et al. "Influence of Fracture Parameters on the Productivity of Fractured Horizontal Well Based on Fluid Mechanics in Tight Gas Reservoir." Advanced Materials Research 886 (January 2014): 452–55. http://dx.doi.org/10.4028/www.scientific.net/amr.886.452.

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Multiple fractures are needed by hydraulic fracturing in order to improve the horizontal well productivity of a single well in tight gas reservoir. The calculation accuracy of productivity influences on the fracturing optimization results and the success ratio and effectiveness of fracturing treatment. This work focuses on analyzing the influence of fracture parameters on fractured horizontal well productivity in tight gas reservoir through establishing a productivity prediction model of fractured horizontal well, considering the interference between fracture and fracture and the wellbore pres
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Shi, Di, Liping Li, Jianjun Liu, Mingyang Wu, Yishan Pan, and Jupeng Tang. "Effect of discrete fractures with or without roughness on seepage characteristics of fractured rocks." Physics of Fluids 34, no. 7 (2022): 073611. http://dx.doi.org/10.1063/5.0097025.

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This study proposes a new fractal permeability model for fractured rocks that comprehensively accounts for the geometric fracture characteristics and the fluid transport mechanism. Then, the permeability changes of fractured rocks are analyzed using discrete fracture networks (DFNs) with or without roughness and different geometry parameters in the DFN modeling and finite element simulation. The results show that the proposed permeability model well agrees with the experimental data, and the established DFN numerical model more realistically reflects the fracture network in fractured rocks. Fl
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Liu, Chao, Xinggui Yang, Wenqi Cao, Jin Lin, Yuxuan Liu, and Hang Zhang. "Discrimination Model of Interaction Between Hydraulic Fracture and Natural Fracture Based on Energy Balance." Processes 13, no. 6 (2025): 1652. https://doi.org/10.3390/pr13061652.

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Hydraulic fracturing technology has been extensively applied for the efficient development of unconventional reservoirs. Influenced by geological discontinuities such as naturally fractured weak planes, the complex interaction behaviors between hydraulic fractures and natural fractures significantly challenge the prediction of hydraulic fracture propagation paths. Establishing interaction discrimination models to predict these behaviors proves crucial for characterizing post-stimulation fracture complexity. This study develops a discrimination model for hydraulic-natural fracture interactions
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VanCourt, RB, SE Byron, SJ Ali, and BD Caldwell. "Fracture mechanics. A comparison study of torsional stress on bone." Journal of the American Podiatric Medical Association 90, no. 4 (2000): 167–74. http://dx.doi.org/10.7547/87507315-90-4-167.

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Fractures that result from torsional loading of shafts in mechanical systems of nonbiologic materials generate a fracture line that forms a 45 degrees angle to an axis that is perpendicular to the direction of torsional loading on the shaft. As tension and compression are applied to these isotropic substances, the angle of fracture increases and decreases, respectively. Understanding how these forces, particularly compressive forces, generate elongation of a spiral fracture increases the ability to predict the extent of injury to bone. Fibular and metatarsal fractures are of primary importance
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Yuan, Yingzhong, Wende Yan, Fengbo Chen, Jiqiang Li, Qianhua Xiao, and Xiaoliang Huang. "Numerical Simulation for Shale Gas Flow in Complex Fracture System of Fractured Horizontal Well." International Journal of Nonlinear Sciences and Numerical Simulation 19, no. 3-4 (2018): 367–77. http://dx.doi.org/10.1515/ijnsns-2017-0135.

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AbstractComplex fracture systems including natural fractures and hydraulic fractures exist in shale gas reservoir with fractured horizontal well development. The flow of shale gas is a multi-scale flow process from microscopic nanometer pores to macroscopic large fractures. Due to the complexity of seepage mechanism and fracture parameters, it is difficult to realize fine numerical simulation for fractured horizontal wells in shale gas reservoirs. Mechanisms of adsorption–desorption on the surface of shale pores, slippage and Knudsen diffusion in the nanometer pores, Darcy and non-Darcy seepag
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Wang, Yonggang, Xuejuan Zhang, Jie Zhang, et al. "Comparative Study on Artificial Fracture Modeling Schemes in Tight Reservoirs—For Enhancing the Production Efficiency of Tight Oil and Gas." Energies 17, no. 20 (2024): 5235. http://dx.doi.org/10.3390/en17205235.

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In order to improve the reliability of the deployment of production schemes after artificial fracturing in tight reservoirs, it is urgent to carry out research on the description of fractures after artificial fracturing. In this study, taking the Chang 61 oil formation group in the Wangyao South area of Ordos Basin as an example, three different fracture modeling schemes are used to establish the geological model of fractured reservoirs, and the fitting ratios of the respective reservoir models are calculated by using the method of reservoir numerical simulation of the initial fitting, and the
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Kubeyev, Amanzhol, Nathaniel Forbes Inskip, Tomos Phillips, et al. "Digital Image-Based Stress–Permeability Relationships of Rough Fractures Using Numerical Contact Mechanics and Stokes Equation." Transport in Porous Media 141, no. 2 (2022): 295–330. http://dx.doi.org/10.1007/s11242-021-01719-7.

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AbstractFlow in fractures is sensitive to their geometrical surface characteristics. The surface can undergo deformation if there is a change in stress. Natural fractures have complex geometries and rough surfaces which complicates the modelling of deformation and fluid flow. In this paper, we present a computational model that takes a digital image of a rough fracture surface and provides a stress–permeability relationship. The model is based on a first-principle contact mechanics approach at the continuum scale. Using this first principle approach, we investigate numerically the effect of fr
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Yu, Chaoyun, Bin Gong, Na Wu, Penglei Xu, and Xiankai Bao. "Simulation of the Fracturing Process of Inclusions Embedded in Rock Matrix under Compression." Applied Sciences 12, no. 16 (2022): 8041. http://dx.doi.org/10.3390/app12168041.

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Typical parallel fractures are often observed in the outcrops of inclusions in the field. To reveal the failure mechanism of inclusions embedded in rock matrix, a series of heterogeneous models are established and tested based on the damage mechanics, statistical strength theory, and continuum mechanics. The results show that, with the spacing between two adjacent fractures decreasing, the stress is firstly transferred from negative to positive, then from positive to negative. Stress transition is profound for the fracture spacing. Meanwhile, three types of fractures, i.e., consecutive fractur
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Abass, Hazim Abass, Chris Lamei Lamei, Kaveh Amini Amini, and Tadesse Teklu Teklu. "Hydraulic Fracturing Tight Reservoirs: Rock Mechanics and Transport Phenomena." Journal of Petroleum Research and Studies 8, no. 2 (2021): 122–43. http://dx.doi.org/10.52716/jprs.v8i2.239.

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Conventional reservoirs have been fracture stimulated using acid fracturing and proppant fracturing.Acid fracturing is performed to improve well productivity in acid-soluble formations such aslimestone, dolomite, and chalk. Hydrochloric acid is generally used to create an etched fracture,which is the main mechanism for maintaining the fracture open during the life of a well. Proppantfracturing is an alternative option that has been applied in carbonaceous and siliceous formations.There is no quantitative method to provide an answer of whether acid fracturing or proppantfracturing is an appropr
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Dissertations / Theses on the topic "Fracture mechanics"

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Srivastava, Ankit. "Mechanics and Mechanisms of Creep and Ductile Fracture." Thesis, University of North Texas, 2013. https://digital.library.unt.edu/ark:/67531/metadc283799/.

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The main aim of this dissertation is to relate measurable and hopefully controllable features of a material's microstructure to its observed failure modes to provide a basis for designing better materials. The understanding of creep in materials used at high temperatures is of prime engineering importance. Single crystal Ni-based superalloys used in turbine aerofoils of jet engines are exposed to long dwell times at very high temperatures. In contrast to current theories, creep tests on Ni-based superalloy specimens have shown size dependent creep response termed as the thickness debit effect.
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Mansfield-Williams, H. D. "Mode 11 fracture mechanics in solid wood and fracture mechanics in laminated veneer lumber." Thesis, Brunel University, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.390815.

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Tiernan, Declan Martin. "Collocation studies in fracture mechanics and quantum mechanics." Thesis, Queen's University Belfast, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.318739.

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Denning, Shawn Patrick. "Fracture mechanics of sandwich structures." Thesis, Wichita State University, 2013. http://hdl.handle.net/10057/6809.

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Over the past few decades both the demand for knowledge as well an increase in the application of composite materials has boomed. This has led to an intensive focus by the research community to gather information and validate the use of such materials. Sandwich composites have been a particular interest and an intense demand for further understanding was sparked by the catastrophic rudder failure of Air Transat 961. This thesis focuses on understanding fracture mechanics and damage tolerance within sandwich composites. Facesheet disbond has severe impacts on the material systems strength and s
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Matthews, C. "Fracture mechanics of volcanic eruptions." Thesis, University College London (University of London), 2009. http://discovery.ucl.ac.uk/16280/.

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Seismology is a key tool in the forecasting of volcanic eruptions. The onset of an eruption is often preceded and accompanied by an increase in local seismic activity, driven by fracturing within the edifice. For closed systems, with a repose interval of the order of a century or more, this fracturing must occur in order to create a pathway for the magma to reach the surface. Time-to-failure forecasting models have been shown to be consistent with seismic acceleration patterns prior to eruptions at volcanoes in subduction zone settings. The aim of this research is to investigate the patterns i
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Richardson, James Bruce. "The mechanics of fracture healing." Thesis, University of Aberdeen, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.290866.

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The mechanics applied to healing fractures vary widely. At one extreme rigid internal fixation is advocated, while at the other early mobilisation is recommended using external splints. Kuhn's method of paradigm orientated research was used to define the historical context of current assumptions regarding fracture healing. Conflict between the various schools of thought is the main evidence for failure of these assumptions and the need to evolve a new perspective on fracture healing. A paradigm is presented which proposes healing by external callus as an early stage and 'primary healing' as th
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MacLennan, Iain James. "Two parameter engineering fracture mechanics." Thesis, University of Glasgow, 1996. http://theses.gla.ac.uk/6756/.

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The object of this work was to investigate and expand on previously carried out research into elastic-plastic crack tip fields using the first two terms of the Williams expansion to characterise the degree of crack tip constraint. As a precursor to this research a history of fracture mechanics is also presented. In the present work crack tip fields in small scale yielding have been detennined using modified boundary layer formulations in an attempt to model the influence of the second order term of the Williams expansion, the T -stress. The prime object of this thesis was to investigate and ex
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Jonsson, Anders. "Integral equation methods for fracture mechanics and micro-mechanical problems." Doctoral thesis, KTH, Solid Mechanics, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3336.

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Stehn, Lars. "Tensile fracture of ice : test methods and fracture mechanics analysis." Doctoral thesis, Luleå tekniska universitet, Byggkonstruktion och -produktion, 1993. http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-18394.

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This thesis is concerned with several aspects of fracture of both brackish (low salinity) sea ice and freshwater ice. The tests and analyses are confined to tensile, or in fracture mechanics language, Mode I, fracture. A large part of this thesis is dedicated to demonstrate that Linear Elastic Fracture Mechanics (LEFM) can be applicable on ice by laboratory and in-situ tests of defined specimens. All interpretations are made using the dicipline of LEFM.First, the development of a field test equipment called FIFT ( a Field Instrument for Fracture toughness Tests on ice) is described. The FIFT i
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Liu, Guoning. "Application of fracture mechanics in electrical/mechanical failures of dielectrics /." View abstract or full-text, 2006. http://library.ust.hk/cgi/db/thesis.pl?MECH%202006%20LIU.

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Books on the topic "Fracture mechanics"

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Zehnder, Alan T. Fracture Mechanics. Springer Netherlands, 2012. http://dx.doi.org/10.1007/978-94-007-2595-9.

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Miannay, Dominique P. Fracture Mechanics. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-1740-4.

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Gdoutos, Emmanuel E. Fracture Mechanics. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-015-8158-5.

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Gdoutos, Emmanuel E. Fracture Mechanics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-35098-7.

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Gross, Dietmar, and Thomas Seelig. Fracture Mechanics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-71090-7.

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Perez, Nestor. Fracture Mechanics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-24999-5.

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Papadopoulos, George A. Fracture Mechanics. Springer London, 1993. http://dx.doi.org/10.1007/978-1-4471-1992-0.

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Gross, Dietmar, and Thomas Seelig. Fracture Mechanics. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-19240-1.

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J, Zuidema, and Wanhill R. J. H, eds. Fracture mechanics. 2nd ed. DUP Blue Print, 2002.

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Zehnder, Alan T. Fracture Mechanics. Springer Netherlands, 2012.

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Book chapters on the topic "Fracture mechanics"

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Zhao, Yu, Yongfa Zhang, and Pengfei He. "Formation of Complex Networks." In Hydraulic Fracturing and Rock Mechanics. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-2540-7_9.

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AbstractWhen a hydraulic fracture interacts with multiple natural fractures (such as bedding planes, faults, weak interlayers, and formation interfaces) in the formation, arrests, bifurcations, crossings, and openings may occur, contributing to forming a complex fracture network (referred as CFN). Shale differs from other types of rocks due to its apparent bedding anisotropy, making it easier to form complex fracture networks during hydraulic fracturing. A mass of field hydraulic fracturing data and laboratory studies have confirmed that the hydraulic fractures generated in shale reservoirs ar
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Cruse, T. A. "Fracture Mechanics." In Mechanics: Computational Mechanics. Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-1385-1_2.

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Zhao, Yu, Yongfa Zhang, and Pengfei He. "Fracture Interaction Behaviors." In Hydraulic Fracturing and Rock Mechanics. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-2540-7_8.

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AbstractProblems arising from hydraulic fracturing involve the nonlinear coupling of rock deformation and fluid flow, the nonlocal character of the fracture elastic response, the time dependence of fracture propagation and the interacting interference between the pre-existing and induced fractures.
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François, Dominique, André Pineau, and André Zaoui. "Fracture Mechanics." In Mechanical Behaviour of Materials. Springer Netherlands, 2012. http://dx.doi.org/10.1007/978-94-007-4930-6_2.

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Munz, Dietrich, and Theo Fett. "Fracture Mechanics." In Ceramics. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-642-58407-7_3.

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Kinloch, A. J., and R. J. Young. "Fracture Mechanics." In Fracture Behaviour of Polymers. Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-017-1594-2_3.

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Narasimhan, R. "Fracture Mechanics." In Lecture Notes in Engineering. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-83535-3_22.

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Öchsner, Andreas. "Fracture Mechanics." In Continuum Damage and Fracture Mechanics. Springer Singapore, 2015. http://dx.doi.org/10.1007/978-981-287-865-6_5.

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Leevers, P. S. "Fracture Mechanics." In Polymer Science and Technology Series. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-015-9231-4_22.

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Perez, Nestor. "Fracture Mechanics." In Materials Science: Theory and Engineering. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-57152-7_13.

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Conference papers on the topic "Fracture mechanics"

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Backers, T., and O. Stephansson. "Fracture Mechanics - Fracture Toughness Determination." In 70th EAGE Conference and Exhibition - Workshops and Fieldtrips. European Association of Geoscientists & Engineers, 2008. http://dx.doi.org/10.3997/2214-4609.20147956.

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He, Yongsheng, Xuanhe Tang, Haiyan Zhu, et al. "Research on Productivity Recovery Mechanism of Fractured Parent Well of Interwell Stereodimensional Infill Well in Fuling Shale Gas Reservoir, Sichuan Basin." In 57th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2023. http://dx.doi.org/10.56952/arma-2023-0432.

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ABSTRACT During the fracturing process of infill wells in the Fuling shale gas reservoir, it was found through real-time monitoring of fracturing that the monitored pressure of the parent well increased to different degrees when each fractured stage of the adjacent infill wells was fractured, and a significant increase in production following the re-opening of the well. To study the production and pressure recovery mechanisms of parent well associated with the infill well fracturing, a coupled flow and geomechanics model was established based on the comprehensive work flow of four-dimensional
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McLean, M. L., D. N. Espinoza, and B. Ahmmed. "Evolution of Hydraulic Fracture Permeability in EGS Considering Natural Fracture Compressibility and Strength of the Surrounding Rock." In 58th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2024. http://dx.doi.org/10.56952/arma-2024-0853.

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ABSTRACT: The long-term success of an Enhanced Geothermal System (EGS) project requires distributed fluid flow in created fractures, ideally each with uniform and moderate permeability to avoid early thermal breakthrough. Yet, thermal depletion causes fracture opening, increasing the likelihood of flow channeling in areas with high fracture permeability. Furthermore, the effective reservoir rock stiffness (including natural fracture compliance) has a first-order impact on thermally induced stress changes, and thus fracture permeability. The objective of this work is to explore the role of ther
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Mei, Z., W. Li, W. Jin, G. Neupane, and T. Atkinson. "Fluid Flow in a Fracture Network Under Changing Stresses: A Laboratory Study." In 58th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2024. http://dx.doi.org/10.56952/arma-2024-0170.

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ABSTRACT: Fluid flow in fractured rocks is ubiquitous in natural and human-induced subsurface processes. Subsurface technologies, such as in-situ mining, CO2 storage and geothermal exploitations, require large contact areas between the flowing fluid and the rock to facilitate efficient heat and mass transport and, therefore, ensure the effectiveness of these technologies. Much of the experimental research on fluid flow in fractures has focused on a single fractures in a rock specimen, which leaves the fluid flow in fracture networks under changing stresses largely unexplored. Here, we study fl
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Cao, Meng, and Mukul M. Sharma. "Creation of a Data-Calibrated Discrete Fracture Network of the Utah FORGE Site." In 57th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2023. http://dx.doi.org/10.56952/arma-2023-0822.

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ABSTRACT Three single-cluster hydraulic fracture stages were pumped at the Frontier Observatory for Research in Geothermal Energy (FORGE) site in Milford, Utah. Our goal was to develop a robust model to accurately represent the formation of fracture networks in this naturally fractured geothermal reservoir. To begin this process, we used geological and geophysical data and data from one-dimensional Fullbore Formation MicroImager (FMI) to build a discrete fracture network model for the natural fractures. The natural fracture network (DFN) was built stochastically with areal density, length, and
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Liu, Xiongwei, Bing Zhao, Zikang Wang, et al. "Numerical Simulation on Fracture Propagation Behaviors in Grid-like Fractured Carbonate Reservoirs in Shunbei." In 58th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2024. http://dx.doi.org/10.56952/arma-2024-0888.

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ABSTRACT: The carbonate formations are characterized by developing continuous grid-like fractured structures, which pose a great challenge on effective hydraulic fracturing. In order to investigate the fracture propagation behavior in such grid-like fracture carbonate reservoirs and the interaction between hydraulic fracture and grid-like fracture, we employed a Unconventional Fracture Model (UFM) based on the boundary element approach in this paper to simulate the fracturing process in fractured carbonate reservoirs. The effects of key geological and engineering parameters such as fracture ap
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Urbancic, T. I., and S. C. Maxwell. "Microseismic Imaging of Fracture Behavior in Naturally Fractured Reservoirs." In SPE/ISRM Rock Mechanics Conference. Society of Petroleum Engineers, 2002. http://dx.doi.org/10.2118/78229-ms.

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Luo, Pandeng, Chunyue Li, Yaoyao Sun, et al. "Laboratory Study of Fracture Propagation Behaviors in Fractured-Cavity Carbonate Reservoirs in Shunbei Oilfield." In 58th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2024. http://dx.doi.org/10.56952/arma-2024-0884.

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ABSTRACT: In order to determine the interaction behaviors between artificial fracture and nature fracture-cavity, we performed a laboratory true tri-axial fracturing experiment on natural carbonate outcrops with Mico-fracture and pores, and the natural fracture-cavity are simulated by pre-existing fracture-cavity. The propagation of artificial fractures is investigated by changing the approach angle for fracture and maximum horizontal stress, and arrangement of pre-existing cavity. Moreover, re-injection experiments are used to evaluate the conductivity of fractures. The results indicate that
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Han, Yanhui, Bo Luo, Frank Chang, and Wenwen Li. "Numerical Investigation of Particle Bridging near Fracture Entrance." In 56th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2022. http://dx.doi.org/10.56952/arma-2022-2022.

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ABSTRACT: Particle transport and bridging inside fractures is an important subject in wellbore drilling and completion. For example, when drilling naturally fractured formations, depleted formations, and offshore formations where fractures can be easily induced or reactivated, loss circulation material (LCM) containing high loading of solid particles is commonly used to seal the pre-existing or newly created fractures to prevent mud loss. The particles are expected to bridge the fracture at the entrance area to maximize the sealing effectiveness and efficiency. A different example is the well
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POWERS, E., N. ELFER, and C. CASADABAN. "Fracture mechanics expert system." In 30th Aerospace Sciences Meeting and Exhibit. American Institute of Aeronautics and Astronautics, 1992. http://dx.doi.org/10.2514/6.1992-876.

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Reports on the topic "Fracture mechanics"

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Robertson, Brett Anthony. Phase Field Fracture Mechanics. Office of Scientific and Technical Information (OSTI), 2015. http://dx.doi.org/10.2172/1227184.

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Bass, B. R. (Fracture mechanics of inhomogeneous materials). Office of Scientific and Technical Information (OSTI), 1990. http://dx.doi.org/10.2172/6548880.

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Sinclair, G. B. Fundamentals of Fatigue and Fracture Mechanics. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada201435.

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Annigeri, B. S. Fracture Mechanics Analysis for Short Cracks. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada192002.

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Cheverton, R. D., and T. L. Dickson. HFIR vessel probabilistic fracture mechanics analysis. Office of Scientific and Technical Information (OSTI), 1997. http://dx.doi.org/10.2172/654200.

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Cowles, B. A., A. B. Thakker, and G. E. King. Fracture Mechanics of Multiple Crack Initiations. An Application for Fracture Mechanics Analysis of Gas Turbine Engine Disks. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada162998.

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Popelar, C. H., J. D. Walker, C. E. Anderson, Johnson Jr., Beissel G. R., and S. R. Penetrator Case Fracture Predictive Technoiogy: Volume 1-Dynamic Fracture Mechanics Methodology. Defense Technical Information Center, 1999. http://dx.doi.org/10.21236/ada367712.

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Swartz, Stuart E. Applicability of Fracture Mechanics Methodology to Cracking and Fracture of Concrete. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada165639.

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Liu, C. T. Fracture Mechanics and Service Life Prediction Research. Defense Technical Information Center, 1999. http://dx.doi.org/10.21236/ada409488.

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Mason, J. J. Application of Dynamic Fracture Mechanics to Composites. Defense Technical Information Center, 1998. http://dx.doi.org/10.21236/ada351990.

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