Thermomechanical Model of an Impermeable Porous Medium with a Chemically Active Filler

Alekseev, Mikhail Vladislavovich; Кулешов, А. А.; Савенков, Е. Б.

doi:10.1134/s2070048218040026

Cited by 2 publications

(2 citation statements)

References 6 publications

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“…Используемая математическая модель включает в себя уравнения термомеханики для описания поведения скелета (матрицы) породы, уравнения законов сохранения массы и энергии с учетом химических реакций и фазового равновесия компонент для вещества в порах, см. подробнее [7][8][9]. Такая постановка задачи может рассматриваться как модельная схема процессов, протекающих на микроуровне, в масштабе отдельных пор, при применении тепловых методов добычи углеводородов с индуцированным нагревом пиролизом керогена нефтематеринских пород.…”

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“…В работе приводятся краткое описание используемой математической модели и вычислительного алгоритма (более подробное описание представлено в [7,8]). Основное внимание уделено результатам моделирования различных задач в рамках используемой математической модели и их содержательной интерпретации.…”

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Mathematical modelling of thermomechanical behaviour of impermeable porous media

Alekseev

Кулешов

Sudobin³

et al. 2018

KIAM Prepr.

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The work is devoted to mathematical modelling of behaviour of a porous medium with isolated voids filled with chemical substance within the framework of mathematical models of thermomechanical behaviour of the matrix and thermochemical processes in pores. To describe the processes in the medium three-dimensional equations of thermomechanics are used. The processes in the pores are described by a self-consistent model taking into account chemical reactions and phase equilibrium. The mathematical model of the medium and the corresponding computational algorithm are briefly described. The results of parametric calculations using realistic thermophysical constants, the component composition of the substance inside the pores, the scheme of chemical reactions and thermodynamic parameters are presented and demonstrate the need for complex, coupled models for considering the described processes.

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Mathematical modelling of thermomechanical behaviour of impermeable porous media

Alekseev

Кулешов

Sudobin³

et al. 2018

KIAM Prepr.

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Mathematical Simulation of Thermomechanics in an Impermeable Porous Medium

Alekseev

Sudobin²,

Кулешов

et al. 2020

HoBMSTU.SNS

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The paper reports on mathematically simulating behaviour of a porous medium featuring isolated interstices filled with a chemically active substance by using a mathematical model of thermomechanics in the matrix and thermochemical processes inside the pores. We used three-dimensional thermomechanical equations to describe the behaviour of the medium. A lumped-element model accounting for chemical reactions and phase equilibrium describes the processes in pores. We outline the mathematical model of the medium and the respective computational algorithm. We provide parametric computation results using realistic thermophysical and thermodynamical parameters, composition of the organic substance found inside pores (products of thermal decomposition of kerogen) and chemical reactions, which show that it is necessary to employ complex, interconnected models to simulate the process class under consideration

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Thermomechanical Model of an Impermeable Porous Medium with a Chemically Active Filler

Cited by 2 publications

References 6 publications

Mathematical modelling of thermomechanical behaviour of impermeable porous media

Mathematical modelling of thermomechanical behaviour of impermeable porous media

Mathematical Simulation of Thermomechanics in an Impermeable Porous Medium

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