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Журнал вычислительной математики и математической физики, 2023, T. 63, № 10, стр. 1706-1720

Моделирование распространения динамических возмущений, в пористых средах сеточно-характеристическим методом с явным выделением неоднородностей

И. А. Митьковец 1, Н. И. Хохлов 1, *

1 МФТИ (НИУ)
141701 М.о., Долгопрудный, Институтский пер., 9, Россия

* E-mail: khokhlov.ni@mipt.ru

Поступила в редакцию 12.05.2023
После доработки 12.05.2023
Принята к публикации 26.06.2023

Аннотация

Рассматривается вопрос численного моделирования распространения волновых возмущений в гетерогенных средах с наличием пористых включений, а также вопрос явного выделения пористых неоднородностей. В качестве подхода для явного выделения неоднородностей предложен метод наложенных сеток. Для численного решения возникающих систем дифференциальных уравнений в частных производных применяется сеточно-характеристический метод. Рассмотрены особенности предложенного метода, проведена верификация предложенных алгоритмов, приводится серия тестовых расчетов. Библ. 48. Фиг. 9.

Ключевые слова: сеточно-характеристический метод, распространение сейсмических возмущений, пористые среды, явное выделение неоднородностей, наложенные сетки.

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