On numerical modeling of reservoir geomechanical problems with non-smooth solutions using finite element method

1 Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences
2 Moscow Institute of Physics and Technology National Research University
3 Lomonosov Moscow State University

**Journal:**Geophysical research

**Tome:**23

**Number:**1

**Year:**2022

**Pages:**30-48

**UDK:**539.3

**DOI:**10.21455/gr2022.1-3

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Dubinya N.V., Vershinin A.V., Pirogova A.S., Tikhotsky S.A. On numerical modeling of reservoir geomechanical problems with non-smooth solutions using finite element method // . 2022. Т. 23. № 1. С. 30-48. DOI: 10.21455/gr2022.1-3

@article{DubinyaOn2022,
author = "Dubinya, N. V. and Vershinin, A. V. and Pirogova, A. S. and Tikhotsky, S. A.",
title = "On numerical modeling of reservoir geomechanical problems with non-smooth solutions using finite element method",
journal = "Geophysical research",
year = 2022,
volume = "23",
number = "1",
pages = "30-48",
doi = "10.21455/gr2022.1-3",
language = "English"
}

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**Keywords:**reservoir geomechanics, drilling risks assessment, mechanical properties, computational mechanics, Finite Element Method (FEM)

**Аnnotation:**The problem of numerical modeling of stress-strain state of rock masses in the cases of non-smooth rheological properties of these masses and non-smooth boundary conditions is consid-ered. The problem emerges from the need to estimate the potential drilling risks at the early stages of hydrocarbon field development. Conventionally, at the early stages of HC field development we estimate the drilling risks based on the preliminary mechanical models built from the exploration seismic data. From the interpretation of seismic data, we get either the models of continuous properties (e.g. the results of conventional seismic inversion) or the structural models that describe the configuration of layer boundaries. Estimates of the elastic and mechanical properties may be assigned to the geological layers and objects in the structural models. In that case, the models of mechanical properties of the subsurface have discontinuous boundaries. The current study is focused on such discontinuous models of mechanical properties of rocks. Usage of such models leads to the need to state boundary conditions as discontinuous functions within the framework of geomechanical modeling. Hence, standard numerical modeling techniques should be revisited so that they can incorporate discontinuous (non-smooth) mechanical models with non-smooth boundary conditions. The study presents the results of the geomechanical modeling for discontinuous models of the mechanical properties built from the reflection seismic data acquired in the Russian Arctic shelf. The estimation of stress-strain state of rocks is completed for several models that contain typical geological objects associated with potential risks for the offshore drilling in the research area. Finite element method is applied to compute the stresses in the models that contain permafrost and gas-bearing intervals in the near-surface. Numerical calculations are carried out using Fidesys computational software. It is shown that discontinuous models of mechanical properties require adjustments in the numerical modeling approach. Discontinuous spectral elements are needed to properly simulate stresses and strains fields in such models

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