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Generalized finite difference method (GFDM) based analysis for subsurface flow problems in anisotropic formation.(English)Zbl 1521.76609


MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
76S05 Flows in porous media; filtration; seepage

Cite

References:

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[20]Wang, Y.; Gu, Y.; Fan, C.-M.; Chen, W.; Zhang, C., Domain-decomposition generalized finite difference method for stress analysis in multi-layered elastic materials, Eng Anal Bound Elem, 94, 94-102 (2018) ·Zbl 1403.74282
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[22]Li, P.-W., Space-time generalized finite difference nonlinear model for solving unsteady Burgers’ equations, Appl Math Lett, 114, Article 106896 pp. (2021) ·Zbl 1458.65110
[23]Fu, Z.-J.; Xie, Z.-Y.; Ji, S.-Y.; Tsai, C.-C.; Li, A.-L., Meshless generalized finite difference method for water wave interactions with multiple-bottom-seated-cylinder-array structures, Ocean Eng, 195, Article 106736 pp. (2020)
[24]Yan, Gu; Lei, W.; Wen, C., Application of the meshless generalized finite difference method to inverse heat source problems, Int J Heat Mass Transf, 108, A, 721-729 (2017)
[25]Fu, Z.-J.; Tang, Z.-C.; Zhao, H.-T.; Li, P.-W.; Rabczuk, T., Numerical solutions of the coupled unsteady nonlinear convection-diffusion equations based on generalized finite difference method, Eur Phys J Plus, 134, 6, 272 (2019)
[26]Gu, Y.; Sun, H. G., A meshless method for solving three-dimensional time fractional diffusion equation with variable-order derivatives, Appl Math Model, 78, 539-549 (2020) ·Zbl 1481.65130
[27]Chen, S. Y.; Hsu, K. C.; Fan, C. M., Improvement of generalized finite difference method for stochastic subsurface flow modeling - ScienceDirect, J Comput Phys, 429, Article 110002 pp. (2021) ·Zbl 07500737
[28]Gavete, L.; Gavete, M. L.; Benito, J. J., Improvements of generalized finite difference method and comparison with other meshless method, Appl Math Model, 27, 10, 831-847 (2003) ·Zbl 1046.65085
[29]Rao, X., An upwind general finite difference method (GFDM) and its modeling of heat and mass transfer in porous media, Computational Particle Mechanics (2022), Under review
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[31]Rao, X.; Xu, Y.; Liu, D.; Liu, Y.; Hu, Y., A general physics-based data-driven framework for numerical simulation and history matching of reservoirs, Adv Geo-Energy Res, 5, 4, 422-436 (2021)
[32]Liu, G. R.; Gu, Y. T., An introduction to meshfree methods and their programming (2005), Springer Science & Business Media
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[34]Xu, Y.; Sheng, G.; Zhao, H., A new approach for gas-water flow simulation in multi-fractured horizontal wells of shale gas reservoirs (2021), Journal of Petroleum Science and Engineering, 199: 108292
[35]Liu, G. R.; Liu, M. B.; Li, S. F., Smoothed particle hydrodynamics — a meshfree method (2004), World Scientific
[36]Rao, X.; Xin, L.; He, Y., Numerical simulation of two-phase heat and mass transfer in fractured reservoirs based on projection-based embedded discrete fracture model (pEDFM), J Pet Sci Eng, 208, Article 109323 pp. (2022)
[37]Rao, X.; Liu, Y., A numerical modelling method of fractured reservoirs with embedded meshes and topological fracture projection configurations, Comput Model Eng Sci (2022)
[38]Chen, Q. Y.; Mifflin, R. T.; Wan, J., A new multipoint flux approximation for reservoir simulation, (SPE reservoir simulation symposium (2007), OnePetro)
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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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