Novel displacement function for discontinuous deformation analysis based on mean value coordinates

2020 ◽  
Vol 121 (21) ◽  
pp. 4768-4792
Author(s):  
Wei Jiang ◽  
Junjie Xu ◽  
Hong Zheng ◽  
Yanhai Wang ◽  
Guanhua Sun ◽  
...  
Keyword(s):  
Mean Value ◽  
Displacement Function ◽  
Discontinuous Deformation Analysis ◽  
Deformation Analysis ◽  
Mean Value Coordinates ◽  
Discontinuous Deformation

scholarly journals Discontinuous Deformation Analysis Based on Wachspress Interpolation Function for Detailed Stress Distribution

2018 ◽  
Vol 2018 ◽  
pp. 1-18 ◽  
Author(s):  
W. Jiang ◽  
Y. H. Wang ◽  
G. H. Sun ◽  
P. C. Song ◽  
C. Mao
Keyword(s):  
Stress Distribution ◽  
Displacement Function ◽  
Discontinuous Deformation Analysis ◽  
Deformation Analysis ◽  
Stress Distributions ◽  
Block Movement ◽  
Discontinuous Deformation ◽  
Movement And Deformation ◽  
New Formulation ◽  
Dda Method

In the original discontinuous deformation analysis (DDA) method, the complete first-order displacement function is used to describe block movement and deformation, which induce constant stress and strain throughout the block. To achieve a more detailed stress distribution, Wachspress interpolation displacement function is employed to express the displacement of blocks in DDA, and the interactions between blocks are still governed under the original DDA. Displacements of the vertexes of all blocks constitute new freedom vectors, and the stiffness and force matrix formulations are derived again. In the new formulation, Wachspress interpolation ensures that the edges of the blocks are straight; therefore, contact detection can be processed based on the original DDA. Several classical examples are analyzed. The results show that the new formulation obtains similar configurations as the original DDA but provides more detailed and continuous stress distributions within block element.

scholarly journals Numerical modeling of complex hydraulic fracture networks based on the discontinuous deformation analysis (DDA) method

2021 ◽  
pp. 014459872098153
Author(s):  
Yanzhi Hu ◽  
Xiao Li ◽  
Zhaobin Zhang ◽  
Jianming He ◽  
Guanfang Li
Keyword(s):  
Hydraulic Fracturing ◽  
Hydraulic Fracture ◽  
Fracture Network ◽  
Discontinuous Deformation Analysis ◽  
Deformation Analysis ◽  
Fracture Networks ◽  
Proposed Model ◽  
Discontinuous Deformation ◽  
Shale Reservoirs ◽  
Dda Method

Hydraulic fracturing is one of the most important technologies for shale gas production. Complex hydraulic fracture networks can be stimulated in shale reservoirs due to the existence of numerous natural fractures. The prediction of the complex fracture network remains a difficult and challenging problem. This paper presents a fully coupled hydromechanical model for complex hydraulic fracture network propagation based on the discontinuous deformation analysis (DDA) method. In the proposed model, the fracture propagation and rock mass deformation are simulated under the framework of DDA, and the fluid flow within fractures is simulated using lubrication theory. In particular, the natural fracture network is considered by using the discrete fracture network (DFN) model. The proposed model is widely verified against several analytical and experimental results. All the numerical results show good agreement. Then, this model is applied to field-scale modeling of hydraulic fracturing in naturally fractured shale reservoirs. The simulation results show that the proposed model can capture the evolution process of complex hydraulic fracture networks. This work offers a feasible numerical tool for investigating hydraulic fracturing processes, which may be useful for optimizing the fracturing design of shale gas reservoirs.

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