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MODELING VERTICAL FRACTURES USING THE SCHOENBERG MODEL ON STRUCTURED GRIDS BY GRID-CHARACTERISTIC METHOD
МОДЕЛИРОВАНИЕ ВЕРТИКАЛЬНЫХ ТРЕЩИН С ПОМОЩЬЮ МОДЕЛИ ШЁНБЕРГА НА СТРУКТУРИРОВАННЫХ СЕТКАХ СЕТОЧНО-ХАРАКТЕРИСТИЧЕСКИМ МЕТОДОМ

Polina V. Stognii, Moscow Institute of Physics and Technology, Nikolay I. Khokhlov, Igor B. Petrov, Scientific Research Institute for System Analysis of Russian Academy of Sciences, Scientific Research Institute for System Analysis of Russian Academy of Sciences
2019 Radioelectronics Nanosystems Information Technologies  

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Seismiс prospecting is one of the most popular methods of revealing oil and gas reservoirs in the North seas. Geological media, which contain hydrocarbon layers, often include different heterogeneities, for example, fractures. Many scientific works are devoted to modelling fractures and ways of considering them in various mathematical problems, but the Linear Slip model, known as Schoenberg model of fracture, is still the most actual, though this model was developed at the end of the last
more » ... y. This model is characterized by the presence of an additional parameterso called fracture opening parameter, describing fractures. In this work, we present the algorithm of introducing the Schoenberg fracture model in the grid-characteristic method. The fracture is organized to be parallel to the boundaries of the modelling grid. The fracture is situated on the border of the two media with the same characterizing parameters. We describe in detail the algorithm of computing the meanings of velocity and stress tensor in the points on the border with the fracture. In order to verify the correctness of the developed approach to modelling a fracture using the Schoeberg fracture model, we carry out the test calculations of sesmic waves spread in a homogeneous media with the vertical extremely thin fracture, described by the not equal to null normal component of the fracture opening coefficient and with the equal to null tangential component of the fracture opening coefficient.
doi:10.17725/rensit.2019.11.351 fatcat:nudbuulduvc5fobnvodrs2z4va
Citation

Polina V. Stognii, Moscow Institute of Physics and Technology, Nikolay I. Khokhlov, Igor B. Petrov, Scientific Research Institute for System Analysis of Russian Academy of Sciences, Scientific Research Institute for System Analysis of Russian Academy of Sciences. "MODELING VERTICAL FRACTURES USING THE SCHOENBERG MODEL ON STRUCTURED GRIDS BY GRID-CHARACTERISTIC METHOD." Radioelectronics Nanosystems Information Technologies 11.3 (2019) 351-356