Fluid-driven fractures in granular materials

Liu, Xiao Li; Wang, Sijing; Wang, Shanyong; Wang, Enzhi

doi:10.1007/s10064-014-0712-7

Cited by 31 publications

(16 citation statements)

References 34 publications

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“…The result will be more adequate if this method considers the dilatation softening. In Section 4 , if the dilatation is considered, the result is closer to the traditional method [ 23 , 24 , 25 , 26 ].…”

Section: Discussionmentioning

confidence: 87%

The Stability Analysis Method of the Cohesive Granular Slope on the Basis of Graph Theory

et al. 2017

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This paper attempted to provide a method to calculate progressive failure of the cohesive-frictional granular geomaterial and the spatial distribution of the stability of the cohesive granular slope. The methodology can be divided into two parts: the characterization method of macro-contact and the analysis of the slope stability. Based on the graph theory, the vertexes, the edges and the edge sequences are abstracted out to characterize the voids, the particle contact and the macro-contact, respectively, bridging the gap between the mesoscopic and macro scales of granular materials. This paper adopts this characterization method to extract a graph from a granular slope and characterize the macro sliding surface, then the weighted graph is analyzed to calculate the slope safety factor. Each edge has three weights representing the sliding moment, the anti-sliding moment and the braking index of contact-bond, respectively, E1E2E3E1E2E3. The safety factor of the slope is calculated by presupposing a certain number of sliding routes and reducing Weight E3 repeatedly and counting the mesoscopic failure of the edge. It is a kind of slope analysis method from mesoscopic perspective so it can present more detail of the mesoscopic property of the granular slope. In the respect of macro scale, the spatial distribution of the stability of the granular slope is in agreement with the theoretical solution.

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Section: Discussionmentioning

confidence: 87%

The Stability Analysis Method of the Cohesive Granular Slope on the Basis of Graph Theory

et al. 2017

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“…36,37 Of course, the simulation of hydraulic fracturing is related not only to fluid flow but also to crack initiation and crack propagation. Our literature survey [38][39][40] and the above analysis indicate that the BPM is feasible for modeling the fracturing process to an acceptable degree.…”

Section: Numerical Model Benchmarkmentioning

confidence: 83%

Numerical analysis of the effect of natural microcracks on the supercritical CO₂ fracturing crack network of shale rock based on bonded particle models

Peng

Wang

et al. 2017

Num Anal Meth Geomechanics

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Summary The problem of predicting the geometric structure of induced fractures is highly complex and significant in the fracturing stimulation of rock reservoirs. In the traditional continuous fracturing models, the mechanical properties of reservoir rock are input as macroscopic quantities. These models neglect the microcracks and discontinuous characteristics of rock, which are important factors influencing the geometric structure of the induced fractures. In this paper, we simulate supercritical CO2 fracturing based on the bonded particle model to investigate the effect of original natural microcracks on the induced‐fracture network distribution. The microcracks are simulated explicitly as broken bonds that form and coalesce into macroscopic fractures in the supercritical CO2 fracturing process. A calculation method for the distribution uniformity index (DUI) is proposed. The influence of the total number and DUI of initial microcracks on the mechanical properties of the rock sample is studied. The DUI of the induced fractures of supercritical CO2 fracturing and hydraulic fracturing for different DUIs of initial microcracks are compared, holding other conditions constant. The sensitivity of the DUI of the induced fractures to that of initial natural microcracks under different horizontal stress ratios is also probed. The numerical results indicate that the distribution of induced fractures of supercritical CO2 fracturing is more uniform than that of common hydraulic fracturing when the horizontal stress ratio is small.

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“…A polygon mesh is a 2-manifold at non-boundary regions if it contains neither non-manifold edges, non-manifold vertices, nor self-intersections. The solid cell system constructed by radial Voronoi tessellation divides the space into non-overlapping polyhedrons [ 27 , 28 ]. Therefore, one face only intersects another face at its edges rather than at other regions in the solid cell system.…”

Section: Characterization Methods Of the Macro Contactmentioning

confidence: 99%

The Quantified Characterization Method of the Micro-Macro Contacts of Three-Dimensional Granular Materials on the Basis of Graph Theory

et al. 2017

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We have attempted a multiscale and quantified characterization method of the contact in three-dimensional granular material made of spherical particles, particularly in cemented granular material. Particle contact is defined as a type of surface contact with voids in its surroundings, rather than a point contact. Macro contact is a particle contact set satisfying the restrictive condition of a two-dimensional manifold with a boundary. On the basis of graph theory, two dual geometrical systems are abstracted from the granular pack. The face and the face set, which satisfies the two-dimensional manifold with a boundary in the solid cell system, are extracted to characterize the particle contact and the macro contact, respectively. This characterization method is utilized to improve the post-processing in DEM (Discrete Element Method) from a micro perspective to describe the macro effect of the cemented granular material made of spherical particles. Since the crack has the same shape as its corresponding contact, this method is adopted to characterize the crack and realize its visualization. The integral failure route of the sample can be determined by a graph theory algorithm. The contact force is assigned to the weight value of the face characterizing the particle contact. Since the force vectors can be added, the macro contact force can be solved by adding the weight of its corresponding faces.

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Fluid-driven fractures in granular materials

Cited by 31 publications

References 34 publications

The Stability Analysis Method of the Cohesive Granular Slope on the Basis of Graph Theory

The Stability Analysis Method of the Cohesive Granular Slope on the Basis of Graph Theory

Numerical analysis of the effect of natural microcracks on the supercritical CO₂ fracturing crack network of shale rock based on bonded particle models

The Quantified Characterization Method of the Micro-Macro Contacts of Three-Dimensional Granular Materials on the Basis of Graph Theory

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Fluid-driven fractures in granular materials

Cited by 31 publications

References 34 publications

The Stability Analysis Method of the Cohesive Granular Slope on the Basis of Graph Theory

The Stability Analysis Method of the Cohesive Granular Slope on the Basis of Graph Theory

Numerical analysis of the effect of natural microcracks on the supercritical CO2 fracturing crack network of shale rock based on bonded particle models

The Quantified Characterization Method of the Micro-Macro Contacts of Three-Dimensional Granular Materials on the Basis of Graph Theory

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Numerical analysis of the effect of natural microcracks on the supercritical CO₂ fracturing crack network of shale rock based on bonded particle models