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Journal articles on the topic 'Phase Field Fracture'

Author: Grafiati

Published: 30 June 2021

Last updated: 25 July 2025

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1

Zhao, Jinzhou, Qing Yin, John McLennan, et al. "Iteratively Coupled Flow and Geomechanics in Fractured Poroelastic Reservoirs: A Phase Field Fracture Model." Geofluids 2021 (December 20, 2021): 1–13. http://dx.doi.org/10.1155/2021/6235441.

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Fluid-solid coupling in fractured reservoirs plays a critical role for optimizing and managing in energy and geophysical engineering. Computational difficulties associated with sharp fracture models motivate phase field fracture modeling. However, for geomechanical problems, the fully coupled hydromechanical modeling with the phase field framework is still under development. In this work, we propose a fluid-solid fully coupled model, in which discrete fractures are regularized by the phase field. Specifically, this model takes into account the complex coupled interaction of Darcy-Biot-type flu

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2

Gong, Diguang, Junbin Chen, Cheng Cheng, Yuanyuan Kou, Haiyan Jiang, and Jianhong Zhu. "Numerical Simulation on Radial Well Deflagration Fracturing Based on Phase Field Method." Energies 16, no. 12 (2023): 4758. http://dx.doi.org/10.3390/en16124758.

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A radial well has a unique wellbore configuration. Fracture propagation in radial well deflagration fracturing is studied rarely. The mechanism of interaction between deflagration fractures, natural fractures, and micro-fractures is still unknown. Based on continuum mechanics, damage mechanics, and variational principles, a numerical model of fracture propagation in deflagration fracturing is established with the Hamilton principle and phase-field fracture theory. The effects of horizontal principal stress difference, natural fracture distribution, and micro-fractures around the wellbore on fr

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3

Tsoflias, Georgios P., Jean‐Paul Van Gestel, Paul L. Stoffa, Donald D. Blankenship, and Mrinal Sen. "Vertical fracture detection by exploiting the polarization properties of ground‐penetrating radar signals." GEOPHYSICS 69, no. 3 (2004): 803–10. http://dx.doi.org/10.1190/1.1759466.

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Vertically oriented thin fractures are not always detected by conventional single‐polarization reflection profiling ground‐penetrating radar (GPR) techniques. We study the polarization properties of EM wavefields and suggest multipolarization acquisition surveying to detect the location and azimuth of vertically oriented fractures. We employ analytical solutions, 3D finite‐difference time‐domain modeling, and field measurements of multipolarization GPR data to investigate EM wave transmission through fractured geologic formations. For surface‐based multipolarization GPR measurements across ver

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4

Berry, M. D., D. W. Stearns, and M. Friedman. "THE DEVELOPMENT OF A FRACTURED RESERVOIR MODEL FOR THE PALM VALLEY GAS FIELD." APPEA Journal 36, no. 1 (1996): 82. http://dx.doi.org/10.1071/aj95005.

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A fractured reservoir model has been developed for the Palm Valley gas field, located WSW of Alice Springs, in the Amadeus Basin, NT. Definition of this complex, naturally fractured, Ordovician gas reservoir has required an integrated approach involving multiple studies to develop the geological model that has formed the basis for reservoir simulation and the rationale for the location of new wells. In addition, new seismic data provided fundamental input to the structure/fracture model of the field. Results suggest a primary, northsouth compression for the origin of structures in the basin an

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Putra, Vaya, and Kenji Furui. "Phase-Field Modeling of Coupled Thermo-Hydromechanical Processes for Hydraulic Fracturing Analysis in Enhanced Geothermal Systems." Energies 16, no. 24 (2023): 7942. http://dx.doi.org/10.3390/en16247942.

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Abundant geothermal energy can be harvested from deep, low-permeability rocks using an enhanced geothermal system (EGS) that relies on an artificially created permeable fracture network through cold water injection. In this study, a two-way coupling technique for thermo-hydromechanical modeling was used to simulate hydraulic fracture propagation in an EGS. The transient heat and fluid flow in porous media were modeled using the finite volume method, while hydraulic fracture propagation and interaction with natural fractures were modeled using the variational phase-field method. Our findings un

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6

Ni, Lin, Xue Zhang, Liangchao Zou, and Jinsong Huang. "Phase-field modeling of hydraulic fracture network propagation in poroelastic rocks." Computational Geosciences 24, no. 5 (2020): 1767–82. http://dx.doi.org/10.1007/s10596-020-09955-4.

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Abstract Modeling of hydraulic fracturing processes is of great importance in computational geosciences. In this paper, a phase-field model is developed and applied for investigating the hydraulic fracturing propagation in saturated poroelastic rocks with pre-existing fractures. The phase-field model replaces discrete, discontinuous fractures by continuous diffused damage field, and thus is capable of simulating complex cracking phenomena such as crack branching and coalescence. Specifically, hydraulic fracturing propagation in a rock sample of a single pre-existing natural fracture or natural

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7

Choo, Jinhyun, and Fan Fei. "Phase-field modeling of geologic fracture incorporating pressure-dependence and frictional contact." E3S Web of Conferences 205 (2020): 03004. http://dx.doi.org/10.1051/e3sconf/202020503004.

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Geologic fractures such as joints and faults are central to many problems in energy geotechnics. Notable examples include hydraulic fracturing, injection-induced earthquakes, and geologic carbon storage. Nevertheless, our current capabilities for simulating the development and evolution of geologic fractures in these problems are still insufficient in terms of efficiency and accuracy. Recently, phase-field modeling has emerged as an efficient numerical method for fracture simulation which does not require any algorithm for tracking the geometry of fracture. However, existing phase-field models

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8

Xu, Y. J., C. C. Xia, S. W. Zhou, and X. H. He. "Coupled thermal-gas-mechanical phase-field modeling for fracture initiation and propagation in the underground caverns for compressed air energy storage." IOP Conference Series: Earth and Environmental Science 1335, no. 1 (2024): 012043. http://dx.doi.org/10.1088/1755-1315/1335/1/012043.

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Abstract With the aim of addressing the large-scale engineering fracture problems in an underground cavern for compressed air energy storage (CAES), in this study, a coupled thermal-gas-mechanical (TGM) phase-field modeling for simulating fracture initiation and propagation in the CAES caverns is proposed. This study also focuses on COMSOL Multiphysics strategy of the TGM phase-field fracture modeling. The temperature field, air seepage field, displacement field, initial geostress field, and phase field are fully coupled and solved in COMSOL. A circular preexisting fracture zone is generated a

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9

Kharrat, Riyaz, Ali Kadkhodaie, Siroos Azizmohammadi, et al. "A Comprehensive Investigation of the Relationship between Fractures and Oil Production in a Giant Fractured Carbonate Field." Processes 12, no. 4 (2024): 631. http://dx.doi.org/10.3390/pr12040631.

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This study examines the connections between various fracture indicators and production data with an example from one of the giant fields in the Middle East producing complex fractured carbonate lithologies. The field under study hosts two reservoirs with a long development and production history, including carbonates from the Asmari and Bangestan Formations. A fracture intensity map was generated based on the interpretation of image logs from 28 wells drilled within the field. Mud loss data were collected and mapped based on the geostatistical Gaussian Random Function Simulation (GRFS) algorit

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10

Wang, Huimin, J. G. Wang, Feng Gao, and Xiaolin Wang. "A Two-Phase Flowback Model for Multiscale Diffusion and Flow in Fractured Shale Gas Reservoirs." Geofluids 2018 (2018): 1–15. http://dx.doi.org/10.1155/2018/5910437.

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A shale gas reservoir is usually hydraulically fractured to enhance its gas production. When the injection of water-based fracturing fluid is stopped, a two-phase flowback is observed at the wellbore of the shale gas reservoir. So far, how this water production affects the long-term gas recovery of this fractured shale gas reservoir has not been clear. In this paper, a two-phase flowback model is developed with multiscale diffusion mechanisms. First, a fractured gas reservoir is divided into three zones: naturally fractured zone or matrix (zone 1), stimulated reservoir volume (SRV) or fracture

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11

Kueper, Bernard H., C. Stephan Haase, and Helen L. King. "Leakage of dense, nonaqueous phase liquids from waste impoundments constructed in fractured rock and clay: theory and case history." Canadian Geotechnical Journal 29, no. 2 (1992): 234–44. http://dx.doi.org/10.1139/t92-027.

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This paper examines the behaviour of dense, nonaqueous phase liquids (DNAPLs) in fractured media, with an emphasis on waste-disposal ponds constructed in fractured clay and rock. Calculations are presented to estimate the height of DNAPL that may accumulate at the base of a disposal pond prior to initial entry into a water-saturated fracture. This height is found to be a function of the fluid densities, the DNAPL–water interfacial tension, the fracture aperture, and the position of the water table. A numerical model is applied to estimate the steady-state rate of DNAPL leakage from a disposal

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12

Bourne, Stephen J., Lex Rijkels, Ben J. Stephenson, and Emanuel J. M. Willemse. "Predictive Modelling of Naturally Fractured Reservoirs Using Geomechanics and Flow Simulation." GeoArabia 6, no. 1 (2001): 27–42. http://dx.doi.org/10.2113/geoarabia060127.

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ABSTRACT To optimise recovery in naturally fractured reservoirs, the field-scale distribution of fracture properties must be understood and quantified. We present a method to systematically predict the spatial distribution of natural fractures related to faulting and their effect on flow simulations. This approach yields field-scale models for the geometry and permeability of connected fracture networks. These are calibrated by geological, well test and field production data to constrain the distributions of fractures within the inter-well space. First, we calculate the stress distribution at

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13

Santillan Sanchez, David, Hichem Mazighi, and Mustapha Kamel Mihoubi. "Hybrid phase-field modeling of multi-level concrete gravity dam notched cracks." Frattura ed Integrità Strutturale 16, no. 61 (2022): 154–75. http://dx.doi.org/10.3221/igf-esis.61.11.

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Phase-field models have become a powerful tool to simulate crack propagation. They regularize the fracture discontinuity and smooth the transition between the intact and the damaged regions. Based on the thermodynamic function and a diffusive field, they regularize the variational approach to fracture that generalizes Grifﬁth’s theory for brittle fracture. Phase-field models are capable to simulate complex fracture patterns efficiently and straightforwardly. In this paper, we introduce a hybrid phase-ﬁeld approach to simulate the crack propagation in laboratory-scale and life-scale structures.

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14

He, QiangSheng, and Chuang Liu. "Phase Field Modeling of Multiple Fracture Growth in Natural Fractured Reservoirs." Geofluids 2023 (March 4, 2023): 1–22. http://dx.doi.org/10.1155/2023/4846474.

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In recent years, hydraulic fracturing techniques have been widely used in extracting unconventional reservoir resources. During multicluster fracturing process, the stress shadowing effect can lead to a nonuniform distribution of fracturing fluid. In this paper, a two-dimensional multiple fracture propagation model is developed based on phase field method considering the distribution of fracturing fluid within each fracture during fracturing process. The distribution of fracturing fluid injected into each fracture is calculated through solving governing equations of perforation friction as wel

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15

Zhang, Gang, Cheng Tang, Peng Chen, Gongbo Long, Jiyin Cao, and Shan Tang. "Advancements in Phase-Field Modeling for Fracture in Nonlinear Elastic Solids under Finite Deformations." Mathematics 11, no. 15 (2023): 3366. http://dx.doi.org/10.3390/math11153366.

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The prediction of failure mechanisms in nonlinear elastic materials holds significant importance in engineering applications. In recent years, the phase-field model has emerged as an effective approach for addressing fracture problems. Compared with other discontinuous fracture methods, the phase-field method allows for the easy simulation of complex fracture paths, including crack initiation, propagation, coalescence, and branching phenomena, through a scalar field known as the phase field. This method offers distinct advantages in tackling complex fracture problems in nonlinear elastic mater

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16

Meadows, Mark A., and Don F. Winterstein. "Seismic detection of a hydraulic fracture from shear‐wave VSP data at Lost Hills Field, California." GEOPHYSICS 59, no. 1 (1994): 11–26. http://dx.doi.org/10.1190/1.1443523.

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A shear‐wave (S‐wave) VSP experiment was performed at Lost Hills Field, California, in an attempt to detect hydraulic fractures induced in a nearby well. The hydrofrac well was located between an impulsive, S‐wave source on the surface and a receiver well containing a clamped, three‐component geophone. Both direct and scattered waves were detected immediately after shut‐in, when the hydraulic pumps were shut off and recording started. The scattered energy disappeared within about an hour, which is consistent with other measurements that indicate some degree of fracture closure and leak‐off wit

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17

Zhang, Yan, Xiaobing Lu, Xuhui Zhang, and Peng Li. "Proppant Transportation in Cross Fractures: Some Findings and Suggestions for Field Engineering." Energies 13, no. 18 (2020): 4912. http://dx.doi.org/10.3390/en13184912.

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The proppant transportation is a typical two-phase flow process in a complex cross fracture network during hydraulic fracturing. In this paper, the proppant transportation in cross fractures is investigated by the computational fluid dynamics (CFD) method. The Euler–Euler two-phase flow model and the kinetic theory of granular flow (KTGF) are adopted. The dimensionless controlling parameters are derived by dimensional analysis. The equilibrium proppant height (EPH) and the ratio of the proppant mass (RPM) in the secondary fracture to that in the whole cross fracture network are used to describ

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18

Lerner, D. N., G. P. Wealthall, and A. Steele. "Assessing Risk from DNAPLs in Fractured Aquifers." Journal of Agricultural and Marine Sciences [JAMS] 7, no. 2 (2002): 47. http://dx.doi.org/10.24200/jams.vol7iss2pp47-52.

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Chlorinated solvents are among the most widespread pollutants of groundwater. As DNAPLs (dense nonaqueous phase liquids), they can move rapidly and in complex patterns through fractures to reach and contaminate large volumes of aquifer, and then dissolve to cause significant pollution of groundwater. However, clean-up of DNAPLs in fractured rocks is virtually impossible and certainly expensive. Risk assessment should be used to decide whether the pollution is serious enough to justify major expenditure on clean-up or containment. A key aspect of risk assessment for DNAPLs in fractured aquifers

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19

Dou, Zhi, Zhifang Zhou, Yefei Tan, and Yanzhang Zhou. "Numerical Study of the Influence of Cavity on Immiscible Liquid Transport in Varied-Wettability Fractures." Journal of Chemistry 2015 (2015): 1–10. http://dx.doi.org/10.1155/2015/961256.

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Field evidence indicates that cavities often occur in fractured rocks, especially in a Karst region. Once the immiscible liquid flows into the cavity, the cavity has the immiscible liquid entrapped and results in a low recovery ratio. In this paper, the immiscible liquid transport in cavity-fractures was simulated by Lattice Boltzmann Method (LBM). The interfacial and surface tensions were incorporated by Multicomponent Shan-Chen (MCSC) model. Three various fracture positions were generated to investigate the influence on the irreducible nonwetting phase saturation and displacement time. The i

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20

Bharali, Ritukesh, Fredrik Larsson, and Ralf Jänicke. "Computational homogenisation of phase-field fracture." European Journal of Mechanics - A/Solids 88 (July 2021): 104247. http://dx.doi.org/10.1016/j.euromechsol.2021.104247.

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21

Chen, Lin, and René de Borst. "Phase-field modelling of cohesive fracture." European Journal of Mechanics - A/Solids 90 (November 2021): 104343. http://dx.doi.org/10.1016/j.euromechsol.2021.104343.

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22

Freddi, Francesco. "Fracture energy in phase field models." Mechanics Research Communications 96 (March 2019): 29–36. http://dx.doi.org/10.1016/j.mechrescom.2019.01.009.

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23

Wilson, Zachary A., and Chad M. Landis. "Phase-field modeling of hydraulic fracture." Journal of the Mechanics and Physics of Solids 96 (November 2016): 264–90. http://dx.doi.org/10.1016/j.jmps.2016.07.019.

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24

Ambati, M., T. Gerasimov, and L. De Lorenzis. "Phase-field modeling of ductile fracture." Computational Mechanics 55, no. 5 (2015): 1017–40. http://dx.doi.org/10.1007/s00466-015-1151-4.

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25

Kuhn, C., and R. Müller. "A phase field model for fracture." PAMM 8, no. 1 (2008): 10223–24. http://dx.doi.org/10.1002/pamm.200810223.

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Kuhn, Charlotte, and Ralf Müller. "Phase field simulation of thermomechanical fracture." PAMM 9, no. 1 (2009): 191–92. http://dx.doi.org/10.1002/pamm.200910070.

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27

Mauthe, Steffen, and Christian Miehe. "Phase-Field Modeling of Hydraulic Fracture." PAMM 15, no. 1 (2015): 141–42. http://dx.doi.org/10.1002/pamm.201510061.

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Li, Liyong, and Seong H. Lee. "Efficient Field-Scale Simulation of Black Oil in a Naturally Fractured Reservoir Through Discrete Fracture Networks and Homogenized Media." SPE Reservoir Evaluation & Engineering 11, no. 04 (2008): 750–58. http://dx.doi.org/10.2118/103901-pa.

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Summary This paper describes a hybrid finite volume method, designed to simulate multiphase flow in a field-scale naturally fractured reservoir. Lee et al. (WRR 37:443-455, 2001) developed a hierarchical approach in which the permeability contribution from short fractures is derived in an analytical expression that from medium fractures is numerically solved using a boundary element method. The long fractures are modeled explicitly as major fluid conduits. Reservoirs with well-developed natural fractures include many complex fracture networks that cannot be easily modeled by simple long fractu

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Tsoflias, Georgios P., and Matthew W. Becker. "Ground-penetrating-radar response to fracture-fluid salinity: Why lower frequencies are favorable for resolving salinity changes." GEOPHYSICS 73, no. 5 (2008): J25—J30. http://dx.doi.org/10.1190/1.2957893.

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Time-lapse ground-penetrating-radar (GPR) surveys exploit signal-amplitude changes to monitor saline tracers in fractures and to identify groundwater flow paths. However, the relationships between GPR signal amplitude, phase, and frequency with fracture aperture and fluid electrical conductivity are not well understood. We used analytical modeling, numerical simulations, and field experiments of multifrequency GPR to investigate these relationships for a millimeter-scale-aperture fracture saturated with water of varying salinity. We found that the response of lower-frequency radar signals dete

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Dinh, Huy, Dimitrios Giannakis, Joanna Slawinska, and Georg Stadler. "Phase-field models of floe fracture in sea ice." Cryosphere 17, no. 9 (2023): 3883–93. http://dx.doi.org/10.5194/tc-17-3883-2023.

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Abstract. We develop a phase-field model of brittle fracture to model fracture in sea ice floes. Phase fields allow for a variational formulation of fracture by using an energy functional that combines a linear elastic energy with a term modeling the energetic cost of fracture. We study the fracture strength of ice floes with stochastic thickness variations under boundary forcings or displacements. Our approach models refrozen cracks or other linear ice impurities with stochastic models for thickness profiles. We find that the orientation of thickness variations is an important factor for the

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31

Jammoul, M., and M. F. Wheeler. "A Phase-Field-Based Approach for Modeling Flow and Geomechanics in Fractured Reservoirs." SPE Journal 27, no. 02 (2021): 1195–208. http://dx.doi.org/10.2118/203906-pa.

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Summary Modeling the geomechanical deformations of fracture networks has become an integral part of designing enhanced geothermal systems and recovery mechanisms for unconventional reservoirs. Stress changes in the reservoir can cause variations in the apertures of fractures resulting in large changes in their transmissivities. At the same time, sustained high-injection pressures can induce shear slipping along existing fractures and faults and trigger seismic activity. In this work, we extend the phase-field method to solve for flow and geomechanical deformations in naturally fractured reserv

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Sidharth, P. C., and B. N. Rao. "A Review on phase-field modeling of fracture." Proceedings of the 12th Structural Engineering Convention, SEC 2022: Themes 1-2 1, no. 1 (2022): 449–56. http://dx.doi.org/10.38208/acp.v1.534.

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In cases with complicated crack topologies, the computational modeling of failure processes in materials owing to fracture based on sharp crack discontinuities fails. Diffusive crack modeling based on the insertion of a crack phase-field can overcome this. The phase-field model (PFM) portrays the fracture geometry in a diffusive manner, with no abrupt discontinuities. Unlike discrete fracture descriptions, phase-field descriptions do not need numerical monitoring of discontinuities in the displacement field. This considerably decreases the complexity of implementation. These qualities enable P

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Seleš, Karlo, Tomislav Lesičar, Zdenko Tonković, and Jurica Sorić. "A Phase Field Staggered Algorithm for Fracture Modeling in Heterogeneous Microstructure." Key Engineering Materials 774 (August 2018): 632–37. http://dx.doi.org/10.4028/www.scientific.net/kem.774.632.

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The phase field approach to fracture modelling is based on a variational principle of the energy minimization as an extension of the Griffith’s brittle fracture theory. It introduces a scalar damage field, to differentiate between the fractured and intact material state. That way, it regularizes the sharp crack discontinuities and eliminates the need for the explicit tracking of the fracture surfaces. Moreover, the numerical implementation complexity is thus vastly reduced. In this contribution, the staggered phase field algorithm for the modelling of brittle fracture is implemented within the

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Li, Haifeng, Wei Wang, Yajun Cao, and Shifan Liu. "Phase-Field Modeling Fracture in Anisotropic Materials." Advances in Civil Engineering 2021 (July 30, 2021): 1–13. http://dx.doi.org/10.1155/2021/4313755.

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The phase-field method is a widely used technique to simulate crack initiation, propagation, and coalescence without the need to trace the fracture surface. In the phase-field theory, the energy to create a fracture surface per unit area is equal to the critical energy release rate. Therefore, the precise definition of the crack-driving part is the key to simulate crack propagation. In this work, we propose a modified phase-field model to capture the complex crack propagation, in which the elastic strain energy is decomposed into volumetric-deviatoric energy parts. Because of the volumetric-de

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Schmidt, Jaroslav, Alena Zemanová, Jan Zeman, and Michal Šejnoha. "Phase-Field Fracture Modelling of Thin Monolithic and Laminated Glass Plates under Quasi-Static Bending." Materials 13, no. 22 (2020): 5153. http://dx.doi.org/10.3390/ma13225153.

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A phase-field description of brittle fracture is employed in the reported four-point bending analyses of monolithic and laminated glass plates. Our aims are: (i) to compare different phase-field fracture formulations applied to thin glass plates, (ii) to assess the consequences of the dimensional reduction of the problem and mesh density and refinement, and (iii) to validate for quasi-static loading the time-/temperature-dependent material properties we derived recently for two commonly used polymer foils made of polyvinyl butyral or ethylene-vinyl acetate. As the nonlinear response prior to f

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Shi, Qianyu, Hongjun Yu, Xiangyuhan Wang, Kai Huang, and Jian Han. "Phase Field Modeling of Crack Growth with Viscoplasticity." Crystals 13, no. 5 (2023): 854. http://dx.doi.org/10.3390/cryst13050854.

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The fracture of viscoplastic materials is a complex process due to its time-dependent and plastic responses. Numerical simulation for fractures plays a significant role in crack prediction and failure analysis. In recent years, the phase field model has become a competitive approach to predict crack growth and has been extended to inelastic materials, such as elasto-plastic, viscoelastic and viscoplastic materials, etc. However, the contribution of inelastic energy to crack growth is seldom studied. For this reason, we implement the fracture phase field model coupled with a viscoplastic consti

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Kosov, Dmitry, Andrey Tumanov, and Valery Shlyannikov. "ANSYS implementation of the phase field fracture approach." Frattura ed Integrità Strutturale 18, no. 70 (2024): 133–56. http://dx.doi.org/10.3221/igf-esis.70.08.

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In this study, we present a new implementation of the phase field fracture approach in the finite element code ANSYS and its numerical background. The framework is general, and is supported by addressing several classical 2D boundary value problems as well as the ductile fracture and 3D surface flaws behaviors of particular interest. The 3D implementation exploits the analogy between the phase field formulations and the magnetic vector potential equation. The influence of the mode mixity and biaxiality loading conditions of the cracked bodies on phase fields is evaluated as a function of the c

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Vu Ba, Thanh. "Phase field modelling combined with optimization algorithm for maximizing the resistance in two-phase composites." Transport and Communications Science Journal 74, no. 4 (2023): 428–44. http://dx.doi.org/10.47869/tcsj.74.4.4.

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Recently, the phase field modelling is widely used to model and simulate material damage. In present work, we present a framework of the topology optimization combined with the phase-field modelling with/ without interfacial damage for optimizing the damage resistance of the inclusion-matrix composites. The first phase field method with the interfacial damage described by the phase field variable d(x) and an interfacial phase field variable β(x), thus the crack occurs in the interaction between the bulk fracture and the interfacial one; the second phase field method without the interfacial dam

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Wu, Tianjiang, Changhao Yan, Ruiqi Gong, Yanhong Zhao, Xiaoyu Jiang, and Liu Yang. "Numerical Simulation on Pore Size Multiphase Flow Law Based on Phase Field Method." Energies 18, no. 1 (2024): 82. https://doi.org/10.3390/en18010082.

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The characteristics of CO2 seepage in reservoirs have important research significance in the field of CCS technology application. However, the characteristics of macro-scale seepage are affected by the geometrical characteristics of micro-scale media, such as pore size and particle shape. Therefore, in this work, a series of numerical simulations were carried out using the phase field method to study the effect of pore structure simplification on micro-scale displacement process. The influences of capillary number, wettability, viscosity ratio, interfacial tension, and fracture development are

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Cui, Haitao, Chenyu Du, and Hongjian Zhang. "Applications of Phase Field Methods in Modeling Fatigue Fracture and Performance Improvement Strategies: A Review." Metals 13, no. 4 (2023): 714. http://dx.doi.org/10.3390/met13040714.

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Fatigue fracture simulation based on phase field methods is a promising numerical approach. As a typical continuum approach, phase field methods can naturally simulate complex fatigue fracture behavior. Moreover, the cracking is a natural result of the simulation without additional fracture criterion. This study first introduced the phase field fracture principle, then reviewed some recent advances in phase field methods for fatigue fracture modeling, and gave representative examples in macroscale, microscale, and multiscale structural simulations. In addition, some strategies to improve the p

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Leggett, Smith Edward, Ding Zhu, and Alfred Daniel Hill. "Thermal Effects on Far-Field Distributed Acoustic Strain-Rate Sensors." SPE Journal 27, no. 02 (2021): 1036–48. http://dx.doi.org/10.2118/205178-pa.

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Summary Fiber-optic cables cemented outside of the casing of an unconventional well measure crosswell strain changes during fracturing of neighboring wells with low-frequency distributed acoustic sensing (LF-DAS). As a hydraulic fracture intersects an observation well instrumented with fiber-optic cables, the fracture fluid injected at ambient temperatures can cool a section of the sensing fiber. Often, LF-DAS and distributed temperature sensing (DTS) cables are run in tandem, enabling the detection of such cooling events. The increasing use of LF-DAS for characterizing unconventional hydrauli

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Kristensen, Philip K., Christian F. Niordson, and Emilio Martínez-Pañeda. "An assessment of phase field fracture: crack initiation and growth." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 379, no. 2203 (2021): 20210021. http://dx.doi.org/10.1098/rsta.2021.0021.

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Abstract:

The phase field paradigm, in combination with a suitable variational structure, has opened a path for using Griffith’s energy balance to predict the fracture of solids. These so-called phase field fracture methods have gained significant popularity over the past decade, and are now part of commercial finite element packages and engineering fitness- for-service assessments. Crack paths can be predicted, in arbitrary geometries and dimensions, based on a global energy minimization—without the need for ad hoc criteria. In this work, we review the fundamentals of phase field fracture methods and e

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Zhang, Hao, Hui Peng, Xiao-yang Pei, Ping Li, Tie-gang Tang, and Ling-cang Cai. "A phase-field model for spall fracture." Journal of Applied Physics 129, no. 12 (2021): 125903. http://dx.doi.org/10.1063/5.0043675.

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Xue, Tianju, Sigrid Adriaenssens, and Sheng Mao. "Mapped phase field method for brittle fracture." Computer Methods in Applied Mechanics and Engineering 385 (November 2021): 114046. http://dx.doi.org/10.1016/j.cma.2021.114046.

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Yoshioka, Keita, Mostafa Mollaali, and Olaf Kolditz. "Variational phase-field fracture modeling with interfaces." Computer Methods in Applied Mechanics and Engineering 384 (October 2021): 113951. http://dx.doi.org/10.1016/j.cma.2021.113951.

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Strobl, M., and Th Seelig. "Phase field modeling of Hertzian indentation fracture." Journal of the Mechanics and Physics of Solids 143 (October 2020): 104026. http://dx.doi.org/10.1016/j.jmps.2020.104026.

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Levitas, Valery I., Alexander V. Idesman, and Ameeth K. Palakala. "Phase-field modeling of fracture in liquid." Journal of Applied Physics 110, no. 3 (2011): 033531. http://dx.doi.org/10.1063/1.3619807.

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Miehe, C., F. Welschinger, and M. Hofacker. "A phase field model of electromechanical fracture." Journal of the Mechanics and Physics of Solids 58, no. 10 (2010): 1716–40. http://dx.doi.org/10.1016/j.jmps.2010.06.013.

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Kuhn, Charlotte, and Ralf Müller. "A continuum phase field model for fracture." Engineering Fracture Mechanics 77, no. 18 (2010): 3625–34. http://dx.doi.org/10.1016/j.engfracmech.2010.08.009.

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Bilgen, Carola, Alena Kopaničáková, Rolf Krause, and Kerstin Weinberg. "A phase-field approach to conchoidal fracture." Meccanica 53, no. 6 (2017): 1203–19. http://dx.doi.org/10.1007/s11012-017-0740-z.

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