Numerical simulation of hydraulic fracture propagation in shale with plastic deformation

Liu, Chuang; Wang, Zexing

doi:10.1007/s10704-022-00659-7

Cited by 9 publications

(2 citation statements)

References 60 publications

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“…There is a large amount of natural gas resources in ultralow permeability reservoirs such as shale [1]. Hydraulic fracturing technique combined with horizontal well is utilized to improve reservoir permeability through creating fracture network [2][3][4]. Previous results have verified that the natural fractures have a significant influence on the propagation morphology of hydraulic fractures [5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Phase Field Modeling of Multiple Fracture Growth in Natural Fractured Reservoirs

Liu

2023

Geofluids

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In recent years, hydraulic fracturing techniques have been widely used in extracting unconventional reservoir resources. During multicluster fracturing process, the stress shadowing effect can lead to a nonuniform distribution of fracturing fluid. In this paper, a two-dimensional multiple fracture propagation model is developed based on phase field method considering the distribution of fracturing fluid within each fracture during fracturing process. The distribution of fracturing fluid injected into each fracture is calculated through solving governing equations of perforation friction as well as wellbore friction. Numerical results demonstrate that the natural fractures in the reservoir have a significant influence on the distribution of injected fluid and the morphology of fracture network. In addition, higher injection rates and higher fluid viscosity stimulations are in favor of inducing uniform distribution of injected fluid into each cluster. The presented numerical model provides an effective tool to extend our understandings in generating fracture networks.

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Section: Introductionmentioning

confidence: 99%

Phase Field Modeling of Multiple Fracture Growth in Natural Fractured Reservoirs

Liu

2023

Geofluids

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“…Moreover, the empirical mathematical model of porosity and permeability variation with pore pressure at the macroscopic scale is obtained by fitting the data. − However, such models still contain certain empirical parameters and have a relatively poor applicability for microscopic scales. The numerical simulation methods are mainly used to analyze the pore deformation characteristics during triaxial compression using finite element techniques. − The conventional numerical simulations used in such methods are still limited in the application scale, and the obtained pore variation is usually statistical in nature, which makes it difficult to achieve an accurate description of individual nanopores with different pore diameters. The representative analytical equation studies in the micromechanics analytical equation analysis method are the Hertzian contact deformation theory and Gassmann method. , Lei et al constructed a capillary bundle model based on the particle stacking model for the arrangement and deformation form of particles in low-permeability cores .…”

Section: Introductionmentioning

confidence: 99%

Study on the Nanopore Deformation Mechanisms in Shale Oil Reservoir: Insights from the Molecular Simulation

Lei,

Dou,

Hong

et al. 2023

ACS Omega

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The stress and adsorption motivation deformation during shale oil production directly affect its development dynamics. First, a mathematical simulation of pore deformation in shale oil under stress motivation is established. We analyzed the impact of factors including the reservoir pressure, Biot coefficient, bulk modulus, and tortuosity on the deformation characteristics of nanopores. Second, a pore deformation model under multifactor synergistic effect is derived by combining the molecular dynamics, which takes into account the influence of adsorption deformation on the total adsorption of shale oil reservoir. Finally, a shale oil pore deformation model under multifactor synergistic effect is obtained. The results show that the current pore diameter shows a trend of decreasing with the decrease of current formation pressure and the difference with original reservoir pressure increases. The pore shows a trend of less deformation with a decrease in the effective stress coefficient. When the Biot coefficient is 0.8, the pore diameter under 5 MPa is 4.01 nm. When the Biot coefficient decreases to 0.3, the pore diameter under 5 MPa becomes 9.12 nm, an increase of 127.43% compared to 4.01 nm. The bulk modulus affects the magnitude of pore deformation under the same pressure, which means that the pore diameter shows a tendency to deform more easily as the bulk modulus increases. Meanwhile, the pore diameter decreases with increasing tortuosity. In addition, the pore deformation is subject to both stress and adsorption motivation deformation synergistically. The stress motivation deformation leads to a decrease of pore diameter with pressure decrease, while, in contrast, the adsorption motivation leads to an increase of pore diameter. The pore diameter under synergy is influenced by the coupling effect, and the deformation under synergy tends to decrease as the pore diameter decreases. When the rock mechanical parameters are changed so that the pores are not easily deformed by stress, the adsorption motivation deformation plays a dominant role in synergy. The amount of synergistic deformation decreases with increasing temperature, while the change in the component ratio of multicomponent fluid mainly affects the corresponding adsorption and the amount of synergistic deformation. Interestingly, when the proportion of CO 2 is the largest, the corresponding maximum deformation is higher than the other proportions (43.77%). It not only enhances the recovery rate of shale oil reservoirs by utilizing CO 2 but also provides the possibility of geological CO 2 burial.

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cv-PINN: Efficient learning of variational physics-informed neural network with domain decomposition

Liu

2023

Extreme Mechanics Letters

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Numerical simulation of hydraulic fracture propagation in shale with plastic deformation

Cited by 9 publications

References 60 publications

Phase Field Modeling of Multiple Fracture Growth in Natural Fractured Reservoirs

Phase Field Modeling of Multiple Fracture Growth in Natural Fractured Reservoirs

Study on the Nanopore Deformation Mechanisms in Shale Oil Reservoir: Insights from the Molecular Simulation

cv-PINN: Efficient learning of variational physics-informed neural network with domain decomposition

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