Coupled model for simulating proppant distribution in extending fracture

Zhao, Jin; Zhao, Xing; Zhao, Jinzhou; Cao, Liyuan; Hu, Yongquan; Liu, Xinjia

doi:10.1016/j.engfracmech.2021.107865

Cited by 14 publications

(7 citation statements)

References 57 publications

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“…Thermal energy Un and radiation energy Us are relatively small, and the kinetic energy Uk released under dynamic loading is generally less than 7% of the total energy [48]. Under the condition of static uniaxial compression, the released kinetic energy Uk is smaller, so the dissipated energy is approximately equal to the surface energy Ua of the new fracture surface [49]: The larger the JIA, the more elastic strain energy is accumulated before failure; as shown in Figure 4a, as the dip angle of the joint increased from 0 • to 90 • , the average elastic energy increased from 22.03% to 89.65%. At the moment of failure, coal can release energy, which is transformed into surface energy U a , kinetic energy U k , thermal energy U n , and radiation energy U s .…”

Section: Influence Of Debris Fractal Characteristics On Energy Evolut...mentioning

confidence: 99%

Section: Influence Of Debris Fractal Characteristics On Energy Evolut...mentioning

confidence: 99%

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Study on the Energy Evolution Law and Bursting Liability of Coal Failure with Different Joint Inclination Angles

Yin,

Li,

Song

et al. 2024

Applied Sciences

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Joints are the weak plane structures in coal. The existence of joints leads to coal failure, with different fracture modes and energy evolution laws. In this paper, the energy evolution and bursting liability index of coal failure with different joint inclination angles (JIAs) are analyzed. The results show that with an increase in joint inclination angle (JIA), the total energy and elastic energy of coal first decrease and then increase and the dissipation energy decreases gradually. The existence of joints changes the bursting liability of coal. With an increase in the JIA, the uniaxial compressive strength (Rc) of coal first decreases and then increases, the dynamic failure time (DT) gradually decreases, and the impact energy velocity index (WST) and the impact energy index (KE) gradually increase. With an increase in the JIA, coal went from tensile failure to shear failure and tension shear mixed failure. After coal failure, the fractal dimension was between 1.7 and 2.4, decreasing first and then increasing; the larger the JIA and the degree of fragmentation, the more energy consumed at the moment of failure and the stronger the bursting liability of coal. The results have a guiding significance for the monitoring and prevention of rock bursts in coal mines.

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Section: Influence Of Debris Fractal Characteristics On Energy Evolut...mentioning

confidence: 99%

Section: Influence Of Debris Fractal Characteristics On Energy Evolut...mentioning

confidence: 99%

Study on the Energy Evolution Law and Bursting Liability of Coal Failure with Different Joint Inclination Angles

Yin,

Li,

Song

et al. 2024

Applied Sciences

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show abstract

“…Chen established the model of fracture turning during propagation based on the theory of fracture mechanics [51]. Zhao used the DDM and extended finite element method to study the stress distribution of multiple cracks [52,53]. Zhang et al investigated the effect of hole erosion on fracture propagation using downhole perforation imaging data [54].…”

Section: Introductionmentioning

confidence: 99%

Study on the Influence of Perforating Parameters on the Flow Rate and Stress Distribution of Multi-Fracture Competitive Propagation

Zhao,

Wang

et al. 2024

Processes

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It is of great significance to investigate the flow rate and stress distribution of multi-fracture propagation for the optimization of perforation parameters and fracture parameters. Considering the coupling of rock deformation, fracture direction and fluid flow in multi-fracture scenarios, a mathematical model and solution program for the flow and stress distribution of multiple fractures are established, and the analytical model is used for comparison and verification. The effects of perforation cluster number, cluster spacing, perforation diameter on fracture extension trajectory, fracture width, flow rate of each fracture and stress field are studied by the model. The results show that, as the number of perforating clusters increases, the inner fracture is inhibited more severely with less width, length and flow distribution, as well as lower bottom hole pressure. With the increase in cluster spacing, the stress interference between whole fractures is weakened and the flow distribution of the inner fracture is increased with lower bottom hole pressure. With the decrease in perforation diameter, the inhibition effect of inside fractures is weakened, while the inhibition effect of outside fractures, the flow distribution of inside fractures and the bottom hole pressure are increased. The uniform propagation of multiple fractures can be promoted by decreasing the perforation clusters’ number and perforation diameter or increasing fracture spacing.

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“…Additionally, increasing the ratio of the proppant particle size to the fracture width and sand ratio reduced both the settling speed and the horizontal migration speed of the proppants, thereby affecting the proppant transport range and placement range. Zhao [36] investigated the effects of fluid viscosity, injection speed, fluid filtration, injected proppant concentration, and particle size on proppant distribution in fractures using numerical simulations. The results showed that the transport distance of proppants increased with increasing injection speed, fluid viscosity, and injected proppant concentration and decreased with increasing particle size.…”

Section: Introductionmentioning

confidence: 99%

Proppant Migration Law Considering Complex Fractures

Kong,

Yang,

Guo

et al. 2023

Processes

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The placement of proppant within fractures is critical to the effectiveness of hydraulic fracturing. To elucidate the migration and placement patterns of proppant within multi-branched fractures during hydraulic fracturing, we conducted simulation experiments under both single-fracture and multi-branched-fracture conditions, varying injection rates and proppant sizes. The results of the research indicate that increasing the injection rate effectively increases the magnitude of vortex formation at the leading edge of sandbars and the drag forces acting on the proppant particles, resulting in increased particle migration distances. However, effective proppant packing near the wellbore entrance is not achieved at higher injection rates, leaving the fractures susceptible to closure under in situ stress, thereby reducing overall fracture conductivity. In addition, increasing the proppant size results in higher settling velocities and weakens the vortex’s ability to entrain the proppant particles. This results in shorter proppant placement distances, and the proppant cannot effectively reach the distant branched fractures. In addition, the diversionary effect of the branched fractures gradually reduces the flow rate in the distant branches, resulting in poorer proppant placement efficiency. Based on these findings, we recommend an approach that initially increases injection rates while reducing proppant size to ensure proppant placement in distant wellbore fractures and branched fracture networks. Subsequently, larger proppants can be used to effectively fill fractures close to the wellbore.

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Coupled model for simulating proppant distribution in extending fracture

Cited by 14 publications

References 57 publications

Study on the Energy Evolution Law and Bursting Liability of Coal Failure with Different Joint Inclination Angles

Study on the Energy Evolution Law and Bursting Liability of Coal Failure with Different Joint Inclination Angles

Study on the Influence of Perforating Parameters on the Flow Rate and Stress Distribution of Multi-Fracture Competitive Propagation

Proppant Migration Law Considering Complex Fractures

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