Vol. 11, no.3, 2019


Polina V. Stognii
Educational Scientific and Experimental Center of Moscow Institute of Physics and Technology, http://kmipt.ru/
Dolgoprudny 141700, Moscow region, Russian Federation
E-mail: stognii@phystech.edu
Nikolay I. Khokhlov, Igor B. Petrov
Scientific Research Institute of System Analysis of RAS, https://www.niisi.ru/
Moscow 117218, Russian Federation
E-mail: k_h@inbox.ru, petrov@mipt.ru

Received 28.08.2019, peer reviewed 16.09.2019, accepted 30.09.2019
Abstract. Seismiс prospecting is one of the most popular method 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 century. This model is characterized by the presence of an additional parameter — so 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 Schoenberg 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

Keywords:seismic prospecting, numerical modelling, grid-characteristic method, fractured media

UDC 519.63

RENSIT, 2019, 11(2):351-356 DOI: 10.17725/rensit.2019.11.351

Full-text electronic version of this article - web site http://en.rensit.ru/vypuski/article/297/11(3)351-356e.pdf