Методика получения корреляционных зависимостей времени набухания предварительно сформированных частиц геля от влияющих параметров

Введение. В статье рассматриваются основные параметры предварительно сформированных частиц геля, закачиваемого в пласт для выравнивания фильтрационных потоков. Отмечается, что одной из важнейших характеристик для эффективного применения технологии является время набухания этих частиц. Подробное описание влияния параметров на время набухания значительно усложняет моделирование и требует существенных временных затрат, вследствие чего актуальным видится использование эмпирических корреляционных зависимостей, отображающих основные управляющие параметры.

Целью работы является исследование процесса набухания предварительно сформированных частиц геля и получение количественных зависимостей от основных влияющих факторов.

Материалы и методы. Предлагается методика для определения таких зависимостей, основанная на методе наименьших квадратов и предполагающая восполнение недостающих данных с использованием однопараметрических корреляционных полиномиальных зависимостей при фиксированном значении других параметров. Выделяются основные управляющие параметры — минерализация дисперсионной среды, её температура и средневзвешенный размер частиц в исходном состоянии. Осуществляется переход в безразмерное пространство для получения универсальных корреляций.

Результаты. Построена тернарная диаграмма для корреляционной зависимости безразмерного времени набухания от безразмерных управляющих параметров. Полученные зависимости аппроксимируют экспериментальные данные с удовлетворительной точностью.

Заключение. Предложенная методика получения корреляционных зависимостей позволяет сократить количество трудоёмких или нереализуемых экспериментальных исследований за счёт интерполяции имеющихся данных с сохранением порядка интерполяционного полинома. Установлено, что исходный средневзвешенный размер частиц влияет на время набухания в наибольшей степени по сравнению с концентрацией солей и температурой, причём с увеличением исходного средневзвешенного размера частиц время набухания увеличивается, поскольку частице больших размеров необходимо поглотить больше воды.

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