scholarly journals Calibration of the Interaction Parameters between the Proppant and Fracture Wall and the Effects of These Parameters on Proppant Distribution

Energies ◽  
2020 ◽  
Vol 13 (8) ◽  
pp. 2099
Author(s):  
Mingzhong Li ◽  
Chunting Liu ◽  
Guodong Zhang
Keyword(s):  
Friction Coefficient ◽  
Critical Role ◽  
Three Dimensional ◽  
Static Friction ◽  
Calibration Method ◽  
Rolling Friction ◽  
Interaction Parameters ◽  
Wall Roughness ◽  
Proppant Transport ◽  
Equilibrium Height

Saltation and reputation (creep) dominate proppant transport rather than suspension during slickwater fracturing, due to the low sand-carrying capacity of the slickwater. Thus, the interaction parameters between proppants and fracture walls, which affect saltation and reputation, play a more critical role in proppant transport. In this paper, a calibration method for the interaction parameters between proppants and walls is built. A three-dimensional coupled computational fluid dynamics–discrete element method (CFD–DEM) model is established to study the effects of the interaction parameters on proppant migration, considering the wall roughness and unevenly distributed diameters of proppants. The simulation results show that a lower static friction coefficient and rolling friction coefficient can result in a smaller equilibrium height of the sand bank and a smaller build angle and drawdown angle, which is beneficial for carrying the proppant to the distal end of the fracture. The wall roughness and the unevenly distributed diameter of the proppants increase the collision between proppant and proppant or the wall, whereas the interactions have little impact on the sandbank morphology, slightly increasing the equilibrium height of the sandbank.

scholarly journals Quantitative Study on Bed Load Proppant Transport during Slickwater Hydraulic Fracturing

Lithosphere ◽  
2021 ◽  
Vol 2021 (Special 1) ◽  
Author(s):  
Chunting Liu ◽  
Mingzhong Li ◽  
Guodong Zhang ◽  
Yong Zhang
Keyword(s):  
Friction Coefficient ◽  
Hydraulic Fracturing ◽  
Mass Flux ◽  
Static Friction ◽  
Rolling Friction ◽  
Bed Load ◽  
Fluid Viscosity ◽  
Proppant Transport ◽  
Sand Bank ◽  
Equilibrium Height

Abstract Bed load proppant transport is a significant phenomenon during slickwater hydraulic fracturing. However, the mechanism of bed load proppant transport is still unclear. In the present study, the proppant transport process during slickwater hydraulic fracturing was simulated with a coupled computational fluid dynamics- (CFD-) discrete element method (DEM) model, and the mechanism of the bed load proppant transport was analyzed. A model for calculating the mass flux of the bed load layer was proposed and verified with experimental results from the literature. The results show that bed load migration is an essential mechanism of proppant transport. When the shear force of fluid acting on the surface of the sand bank reaches the critical Shields number, the proppant in the upper layer of the sand bank begins to migrate in the form of bed load. The movement of the bed load layer increases the time for the sand bank to reach the equilibrium height. In addition, the mass flux of the bed load layer significantly affects the equilibrium height of the sand bank. The mass flux of the bed load layer decreases, and the equilibrium height increases as the proppant density, proppant diameter, or rolling friction coefficient and static friction coefficient of the proppant increase, but the mass flux of the bed load layer increases, and the equilibrium height decreases as the fluid viscosity increases.

Two-step validation process of particle mixing in a centrifugal mixer with vertical axis

2016 ◽  
Vol 232 (1) ◽  
pp. 29-37
Author(s):  
Matej Zadravec ◽  
Blaž Orešnik ◽  
Matjaž Hriberšek ◽  
Jure Marn
Keyword(s):  
Numerical Simulation ◽  
Friction Coefficient ◽  
Numerical Simulations ◽  
Static Friction ◽  
Vertical Axis ◽  
Rolling Friction ◽  
Angle Of Repose ◽  
Discrete Elements ◽  
Power Characteristics ◽  
Centrifugal Mixer

Two-step approach of validation is proposed to validate a numerical model, capable of accurate prediction of mixing power characteristics of a centrifugal mixer with vertical axis. Two sets of experiments and two sets of numerical simulations are presented—the first set to determine physical characteristics of the particles comparing the numerical simulations results with experimental data, and the second set to validate predicted behavior of anchor type vertical axis impeller for mixing of same particles. Zeolite particles were used for actual calculations. After determining shear modulus, coefficient of interaction, static friction coefficient, and rolling friction coefficient through optimization process based on numerical simulations with subject function of diameter and angle of repose derived from experiment, using these values in numerical simulation of impeller mixer mixing zeolite particles led to results, which were in good agreement with results of the second set of experiments. The obtained zeolite material parameter values can therefore serve as a solid basis for discrete elements method based numerical simulation of zeolite granular materials.

scholarly journals ANALYSIS AND CALIBRATION OF PARAMETERS OF BUCKWHEAT GRAIN BASED ON THE STACKING EXPERIMENT

2021 ◽  
pp. 467-476
Author(s):  
Rong Fan ◽  
Qingliang Cui ◽  
Yanqing Zhang ◽  
Qi Lu
Keyword(s):  
Friction Coefficient ◽  
Static Friction ◽  
Calibration Method ◽  
Simulation Test ◽  
Physical Test ◽  
Factors Affecting ◽  
Static Friction Coefficient ◽  
Significant Difference ◽  
Simulation Parameters ◽  
Significant Factors

The stacking test based on response surface method (RSM) was carried out to calibrate the simulation parameters of buckwheat grain by discrete element method (DEM). The static friction coefficient of buckwheat-buckwheat and that of buckwheat-steel are significant factors affecting the repose angle. A quadratic polynomial model for the repose angle and the 2 significant parameters was established and optimized. The optimal combination was obtained: buckwheat-buckwheat static friction coefficient of 0.482, buckwheat-steel static friction coefficient of 0.446. It was found that there was no significant difference between the results of the simulation test and physical test (P>0.05), indicating that the parameter calibration method based on RSM is feasible. The calibrated parameters can provide reference to the simulation of buckwheat production process and machineries design.

scholarly journals Calibration and Verification of Dynamic Particle Flow Parameters by the Back-Propagation Neural Network Based on the Genetic Algorithm: Recycled Polyurethane Powder

Materials ◽  
2019 ◽  
Vol 12 (20) ◽  
pp. 3350
Author(s):  
Ping He ◽  
Yiwei Fan ◽  
Banglong Pan ◽  
Yinfeng Zhu ◽  
Jing Liu ◽  
...  
Keyword(s):  
Neural Network ◽  
Genetic Algorithm ◽  
Friction Coefficient ◽  
Back Propagation ◽  
Static Friction ◽  
Discrete Element ◽  
Calibration Method ◽  
Angle Of Repose ◽  
Recovery Coefficient ◽  
Static Friction Coefficient

The discrete element method (DEM) is commonly used to study various powders in motion during transportation, screening, mixing, etc.; this requires several microscopic parameters to characterize the complex mechanical behavior of the particles. Herein, a new discrete element parameter calibration method is proposed to calibrate the ultrafine agglomerated powder (recycled polyurethane powder). Optimal Latin hypercube sampling and virtual simulation experiments were conducted using the commercial DEM software; the microscopic variables included the static friction coefficient between the particles, collision recovery coefficient, Johnson–Kendall–Roberts surface energy, static friction coefficient between the particles and wall, and collision recovery coefficient. A predictive model based on genetic-algorithm-optimized feedforward neural network (back propagation) was developed to calibrate the microscopic DEM simulation parameters. The cycle search algorithm and mean-shift cluster analysis were used to confirm the input parameters’ range by comparing the mean value of the dynamic angle of repose measured via the batch accumulation test. These parameters were verified by the baffle lifting method and the rotating drum method. This calibration method, once successfully developed, will be suitable for use in a variety of fine viscous powder dynamic flow conditions.

Calibration and Experimental Validation of Contact Parameters for Oat Seeds for Discrete Element Method Simulations

2021 ◽  
Vol 37 (4) ◽  
pp. 605-614
Author(s):  
Lingxin Geng ◽  
Jiewen Zuo ◽  
Fuyun Lu ◽  
Xin Jin ◽  
Chenglong Sun ◽  
...  
Keyword(s):  
Friction Coefficient ◽  
Discrete Element Method ◽  
Static Friction ◽  
Discrete Element ◽  
Rolling Friction ◽  
Angle Of Repose ◽  
Static Friction Coefficient ◽  
Contact Parameters ◽  
Rolling Friction Coefficient ◽  
Element Method

Highlights The static friction coefficient and rolling friction coefficient of oat seeds were calibrated by the discrete element method. Two representative oat varieties were selected. The hollow cylinder method and sidewall collapse method were used together to reduce the test error. Abstract . Hulless and shelled oat are two types of oat with major differences in physical appearance. To study the contact parameters between the two different oat seed types, these parameters were delineated with the discrete element method and graphic image processing technology. Using plexiglass as the contact material, the experiments used two different angle of repose measurement methods—hollow cylinder and collapse sidewall devices, to perform bench and simulation experiments on the two different oats. Under different measurement methods, bench experiments measured the angles of repose of the two oat seed types at 33.19°, 33.82° and 22.45°, 23.57°; the static friction coefficient and rolling friction coefficient were the experimental factors, and the angle of repose was the experimental indicator in the simulation. The steepest climbing experiment determined the optimal range of the experimental factor, and the regression equation between the static friction coefficient, rolling friction coefficient and angle of repose was established by a quadratic orthogonal rotation combination experiment. Finally, the angles of repose measured by the bench experiment with the two different measurement methods were treated as target values, the coefficient of static friction and the coefficient of rolling friction were solved; the coefficient of static friction between hulless oats was 0.36, and the coefficient of rolling friction between hulless oats was 0.052; the coefficient of static friction between shelled oats was 0.24, and the coefficient of rolling friction between shelled oats was 0.036. The obtained contact parameters between seeds were input into EDEM, the simulation and bench experiment results were verified. The difference between the simulation results and the actual values was within 3%. The angle of repose of oats after calibration was close to the actual situation, and the calibration results had high reliability and provided a referencefor the measurement of contact parameters between other agricultural crop seeds. Keywords: Calibration, Contact parameters, Discrete element method, Oat.

scholarly journals Simulation of Motion Behavior of Concrete in Pump Pipe by DEM

2021 ◽  
Vol 2021 ◽  
pp. 1-16
Author(s):  
Ji Hao ◽  
Caiyun Jin ◽  
Yue Li ◽  
Zigeng Wang ◽  
Jianglin Liu ◽  
...  
Keyword(s):  
Friction Coefficient ◽  
Coarse Aggregate ◽  
Flow Behavior ◽  
Static Friction ◽  
Rolling Friction ◽  
Pumping Test ◽  
Movement Trajectory ◽  
Test Results ◽  
Aggregate Gradation ◽  
Dem Model

In this paper, the mesocalibration test was used to measure the contact parameters (restitution coefficient, rolling friction coefficient, static friction coefficient, and surface energy) between coarse aggregate particles and mortar particles in Discrete Element Method (DEM) model of concrete. Then, the DEM model of concrete slump was established according to the coarse aggregate gradation to study the flow behavior of coarse aggregate in fresh concrete. The slump test result was compared with the output of the slump DEM model with high consistent, indicating the promising reliability of the mesocalibration test. Finally, based on the mesocalibration test results, the DEM model of pumping concrete was established. It was obtained that the pumping pressure calculated by the numerical model was similar to that of the pumping test with satisfactory accuracy better than the concrete pumping pressure calculated according to the rheological test results of concrete and lubricating layer. On this basis, the movement trajectory of coarse aggregate in the pump pipe was analyzed and the influence of coarse aggregate on the pumping performance of concrete was revealed.

Determination of the friction coefficient of coal particles by discrete element simulation and experimentation

2020 ◽  
Author(s):  
Jinrong CHAI ◽  
Shifeng WANG ◽  
Zihao ZHOU ◽  
Guohua LI ◽  
Xunan LIU
Keyword(s):  
Stainless Steel ◽  
Friction Coefficient ◽  
Static Friction ◽  
Discrete Element ◽  
Rolling Friction ◽  
Angle Of Repose ◽  
Discrete Element Simulation ◽  
Element Simulation ◽  
Coal Particles ◽  
Rolling Friction Coefficient

Abstract The friction coefficient of coal is the main factor influencing the results of discrete element simulation. In this study, the friction coefficient of coal was determined using a self-made testing instrument for measuring the static friction coefficient and an automatic cylinder lifting device on the basis of discrete element simulation, image processing, and orthogonal testing. The correlations between the angle of repose of coal particles, the rolling friction coefficient between coal particles, and the rolling friction coefficient between the coal particles and stainless steel were evaluated by linear regression analysis. Results indicated that the dependent variable (angle of repose of coal particles) was linearly correlated to the two independent variables (rolling friction factor between the coal particles, as well as the rolling friction factor between the coal and the stainless steel). The angle of repose of the coal particles was largely affected by the rolling friction coefficient between the coal particles but not by the rolling friction coefficient between the coal particle and stainless steel. Moreover, the static friction coefficient between the coal particles was 0.53, and that between the coal particle and the stainless steel was 0.38. The rolling friction coefficient between the coal particles was 0.048, and that between the coal particles and the stainless steel was 0.03. These friction coefficients were used to simulate the bottomless cylinder test of the coal particles. The angle of repose in the simulation test was 30.77°, whereas that in the real test was 31.47°; the relative error was 2.22%. Therefore, no significant difference in the results was indicated between the simulation test and the real test, verifying the effectiveness of the method used to determine friction coefficients. The aforementioned technique can be applied to determine the friction coefficient of lump coal particles.

scholarly journals Discrete Element Analysis of Friction Coefficient on Granular Accumulation

2011 ◽  
Vol 2-3 ◽  
pp. 894-899
Author(s):  
Qin Liang Li ◽  
Bin Zhao ◽  
Bo Wang ◽  
Bang Chun Wen
Keyword(s):  
Friction Coefficient ◽  
Static Friction ◽  
Discrete Element ◽  
Rolling Friction ◽  
Point Of View ◽  
Angle Of Repose ◽  
Element Analysis ◽  
Dem Analysis ◽  
The Impact ◽  
Rolling Friction Coefficient

Discrete element method (DEM) is applied to study the granular accumulation problem. Using Herz-Mindlin (no slip) model to simulate particles and container model is also established by software. When the container elevates, the process of granular falling and collision can be ob-served. Detailed analysis of that the impact of static and rolling friction coefficient for particles - particles, particles - flat on angle of repose is accomplished. The variation law is also further val-idated from the energy point of view. The results show that rolling friction has a greater impact on angle of repose than static friction, and rolling friction coefficient among particles play the more prominent role in the two kinds of rolling friction. The research method and results provide a the-oretical reference for the granular movement and DEM analysis.

The Research of Static Friction Coefficient Measure Technology and Calibration Method for Traffic Engineering

2011 ◽  
Vol 128-129 ◽  
pp. 1493-1496 ◽  
Author(s):  
Xue Feng Ma ◽  
Dong Hua Guo ◽  
Yu Hong Lu
Keyword(s):  
Friction Coefficient ◽  
Traffic Engineering ◽  
Static Friction ◽  
Calibration Method ◽  
Inclined Plane ◽  
Plane Method ◽  
Engineering Communication ◽  
Static Friction Coefficient ◽  
Equipment System

The measure technology of static friction coefficient of traffic engineering communication and cable ducts by using inclined plane method is introduced in this paper. The calibrated method for that equipment system of static friction coefficient is discussed, furthermore.

scholarly journals ANALYSIS AND CALIBRATION OF QUINOA GRAIN PARAMETERS USED IN A DISCRETE ELEMENT METHOD BASED ON THE REPOSE ANGLE OF THE PARTICLE HEAP

2020 ◽  
Vol 61 (2) ◽  
pp. 77-86 ◽  
Author(s):  
Fei Liu ◽  
Dapeng Li ◽  
Tao Zhang ◽  
Zhen Lin
Keyword(s):  
Friction Coefficient ◽  
Discrete Element Method ◽  
Static Friction ◽  
Rolling Friction ◽  
Optimal Parameters ◽  
Dem Simulation ◽  
Static Friction Coefficient ◽  
Dem Model ◽  
Rolling Friction Coefficient ◽  
Element Method

An optimization method based on a regression model was established by combining physical experiments, and an extended distinct element method (EDEM) simulation was proposed to address the difficult problem of obtaining the contact characteristic parameters used in the discrete element method (DEM) model of quinoa grains and for calibrating the parameters of the quinoa DEM model. The Plackett-Burman test was designed using Design-Expert software to screen the parameters of the quinoa DEM model, and the quinoa-quinoa static friction coefficient, quinoa-polylactic acid (PLA) static friction coefficient and quinoa-quinoa rolling friction coefficient were found to have significant effects on the repose angle. The optimal value intervals of the parameters with a significant impact on the repose angle were determined using the steepest ascent test. A regression model of the repose angle and the parameters with a significant impact on the repose angle was then established with the Box-Behnken design and further optimized, and the combination of optimal parameters was as follows: 0.26 for the quinoa-quinoa static friction coefficient (E), 0.38 for the quinoa-PLA static friction coefficient (F), and 0.08 for the quinoa-quinoa rolling friction coefficient (G). Lastly, the optimal combination was used in the verification performed by the DEM simulation, and the error between the simulated repose angle and the target repose angle was 0.86%. These findings indicated that it was feasible to use the response surface optimization to calibrate the parameters required for quinoa DEM simulation and that the combination of optimal parameters can provide a reference for selecting the characteristic contact parameters used in quinoa DEM simulation.

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