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This article is cited in 1 scientific paper (total in 1 paper)
MATHEMATICS
Mathematical modeling of 3D dynamic processes near a fracture using the Schoenberg fracture model
I. B. Petrovab, P. V. Stogniia, N. I. Khokhlovab a Moscow Institute of Physics and Technology (National Research University), Dolgoprudnyi, Moscow oblast, Russia
b Scientific Research Institute for System Analysis of the Russian Academy of Sciences, Moscow, Russia
Abstract:
Fractured media are important objects of investigation, because they accumulate oil. Hydraulic fracturing is of great practical interest. The exploration of such heterogeneities with the help of mathematical modeling methods makes it possible to examine different problem formulations with fractures of different forms, sizes, and other characteristics. The Schoenberg fracture model takes into account the characteristics of the fluid inside the fracture, which is utterly important in conducting seismic geological surveys. In this work, an algorithm for computing the medium parameters at the boundary of a fracture described by the Schoenberg model is developed using the grid-characteristic method. We present the results obtained by applying the developed algorithm to the solution of the problem of seismic monitoring of a hydraulic fracture, where the fracture-filling fluid is a necessary part of the investigation.
Keywords:
fracture models, seismology, grid-characteristic method, hydraulic fracturing.
Received: 18.06.2021 Revised: 18.06.2021 Accepted: 08.08.2021
Citation:
I. B. Petrov, P. V. Stognii, N. I. Khokhlov, “Mathematical modeling of 3D dynamic processes near a fracture using the Schoenberg fracture model”, Dokl. RAN. Math. Inf. Proc. Upr., 500 (2021), 40–44; Dokl. Math., 104:2 (2021), 254–257
Linking options:
https://www.mathnet.ru/eng/danma202 https://www.mathnet.ru/eng/danma/v500/p40
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