An Improved Smoothed Particle Hydrodynamics Method and Its Application in Rock Hydraulic Fracture Modelling

Yu, Shuyang; Ren, Xiaobing; Zhang, Jixun; Sun, Zhaohua

doi:10.1007/s00603-021-02594-w

Cited by 9 publications

(6 citation statements)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The displacement or strain of the strain localization band cannot be controlled by physical tests, which will make it difficult to evaluate the measurement accuracy of DIC measurement results 31 , 32 . Therefore, the simulation diagram in the DIC Challenge (P200_K50_n2 and P200_K100_n2), the number simulation diagram of 2000 × 1000 pixels, was used for analysis with DIC, and the displacement measurement result of a transversal line was obtained and compared with its actual value.…”

Section: Improved Virtual Extensometer Methodsmentioning

confidence: 99%

Improved virtual extensometer measurement method in complex multi-fracture situation

Chai

Ouyang

Liu

et al. 2022

Sci Rep

View full text Add to dashboard Cite

To overcome the limitation of the virtual extensometer method in measuring the crack opening displacement (COD) in the process of complex multi-crack propagation of rock, the measurement error of Digital Image Correlation (DIC) local deformation is theoretically analyzed. An improved virtual extensometer method for measuring the COD is proposed, which considers the temporal and spatial characteristics of crack development in the process of complex crack propagation. The accuracy of the proposed method is verified by the strain localization band numerical simulation test and indoor single crack simulation test. Furthermore, the method is applied to the two-dimensional similarity simulation test of simulating complex multi-fractures in rock stratum. The COD obtained by the traditional and improved methods is compared with the measured COD. The results show that in the case of multiple complex cracks, to obtain the COD accurately, the relative distance between the virtual extensometer measuring point and the crack should be greater than half of the sum of the width of the crack strain localization zone and the subset size. With the development of the crack, the relative distance between the virtual extensometer measuring point and the crack should increase with the increase of the width of the crack strain localization zone. The error of the COD measured by the traditional method increases with fracture development, and the maximum is 21.20%. The maximum relative error between the COD measured by the improved method and the measured crack opening is 3.61%. The research results improve the accuracy of the virtual extensometer in measuring the COD under complex multi-crack conditions.

show abstract

Section: Improved Virtual Extensometer Methodsmentioning

confidence: 99%

Improved virtual extensometer measurement method in complex multi-fracture situation

Chai

Ouyang

Liu

et al. 2022

Sci Rep

View full text Add to dashboard Cite

show abstract

“…These virtual particles and real particles share the same density and pressure if virtual particles with the same magnitude but opposite direction of velocity are arranged, as shown in Figure 2. Due to the dynamic nature of real particles, it is necessary to regenerate the virtual particles based on the current state of the real particles at each computational time step [25][26][27][28][29][30][31]. number of grids.…”

Section: Boundary Conditionmentioning

confidence: 99%

“…Building upon this foundation, Yu proposed an Improved Kernel of Smooth Particle Hydrodynamics (IKSPH) by altering the kernel function. This innovative approach has successfully simulated the process of crack propagation in fractured materials under compressive states, as well as the failure mechanism of slopes featuring jointed fractures [28][29][30][31][32]. Mu proposed an SPH method that considers the coupling of water-kinetic damage.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation Analysis of Fracture Propagation in Rock Based on Smooth Particle Hydrodynamics

Ren,

Zhang,

Zhang

et al. 2023

Materials

Self Cite

View full text Add to dashboard Cite

The mechanical properties of fractured rock have always been a focal point in the rock mechanics field. Based on previous research, this paper proposes improvements to the SPH method and applies it to the study of crack propagation in fractured rocks. By conducting uniaxial compression tests and simulating crack propagation on various specimens with different crack shapes, the characteristics of crack propagation were obtained. The comparison between the simulated results in this study and existing experimental and numerical simulation results confirms the validity of the SPH method employed in this paper. The present study utilizes the proposed methodology to analyze the influence of the crack angle, width, and orientation on crack propagation. The SPH method employed in this study effectively demonstrates the expansion process of fractured rock under uniaxial compression, providing valuable insights for the engineering applications of SPH.

show abstract

“…Many researchers are inspired by GPD and developed some novel particle numerical methods. [10][11][12][13][14] In the same time, the theoretical analysis of GPD on the traditional continuum level is under a rapid development, Yao et al 15 pointed out the deficiency of the kernel in GPD and modified the kernel approximation in his novel continuous smoothed-particle hydrodynamics (CSPH) theory. Zhou et al 16,17 extended the GPD theory in the micro-level with the combination of the peridynamics (PD) and proposed a novel smoothed PD (SPD).…”

Section: Introductionmentioning

confidence: 99%

“…The damage model in GPD utilizes a damage variable to collect the damaged particles and to simulate the solid fracture. Many researchers are inspired by GPD and developed some novel particle numerical methods 10–14 . In the same time, the theoretical analysis of GPD on the traditional continuum level is under a rapid development, Yao et al 15 pointed out the deficiency of the kernel in GPD and modified the kernel approximation in his novel continuous smoothed‐particle hydrodynamics (CSPH) theory.…”

Section: Introductionmentioning

confidence: 99%

Advanced general particle dynamics with nonlocal foundation for fracture analysis

Zhou

Yao

Berto

2022

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

The general particle dynamics (GPD), which is based on the kernel approximation method and Navier–Stokes equation, was developed from smoothed‐particle hydrodynamics to simulate the fracture behaviors by using the collective of damage variable to describe the damage evolution behaviors. In this paper, an advanced GPD with a nonlocal foundation is proposed for better description of the solid mechanics. The nonlocal vector calculus and microscopic constitutive model are employed to derive the governing equations in the proposed theory. The novel GPD with a nonlocal core is a generalization, which permits the inclusion of the microscopic constitutive model and the multi‐scale modeling compared with the previous GPD. To accomplish this generalization, the relationship between GPD and the previous kernel‐based theory is established. The novel GPD is superior in the fracture problems and multi‐scale modeling. Some numerical experiments are launched to verify the ability of the novel GPD.

show abstract

An Improved Smoothed Particle Hydrodynamics Method and Its Application in Rock Hydraulic Fracture Modelling

Cited by 9 publications

References 39 publications

Improved virtual extensometer measurement method in complex multi-fracture situation

Improved virtual extensometer measurement method in complex multi-fracture situation

Numerical Simulation Analysis of Fracture Propagation in Rock Based on Smooth Particle Hydrodynamics

Advanced general particle dynamics with nonlocal foundation for fracture analysis

Contact Info

Product

Resources

About