Application of the finite element-differences method for modeling of anisotropic filtration processes




anisotropic piezoconductivity problem, oil and gas producing, combined finite element-differences method


We consider modeling and geophysical interpretation of the obtained results in the oil and gas production problems in anisotropic reservoirs. For solving these practical problems, we use combined finite element-differences method of resolving anisotropic piezoconductivity problem with calculation of heterogeneous filtration parameters distribution of oil and gas productive reservoirs and oil-gas penetration conditions in the borders of investigating areas. We have defined that the anisotropy of oil and gas permeability in the far zone of the well has a greater effect on the filtration processes around the well and, accordingly, on the producing of the raw materials than the anisotropy of permeability in the near zone of the well. We have shown that the intensity of filtration processes in anisotropic reservoirs near the acting well depends significantly on the shear permeability and to a lesser extent on the axial permeability of the corresponding phase. Therefore, for the effective using of anisotropic reservoirs, it is necessary to place production wells in local areas with relatively low anisotropy of permeability of the reservoir, especially to avoid places with shear anisotropy.

Pages of the article in the issue: 63 - 66

Language of the article: Ukrainian


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How to Cite

Lubkov, M. V. (2021). Application of the finite element-differences method for modeling of anisotropic filtration processes. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, (3), 63–66.



Differential equations, mathematical physics and mechanics