Расчет трубопровода для транспортировки нагретой нефти¶
Проект демонстрирует влияние термодинамических процессов на температуру участка подземного трубопровода, предназначенного для транспортировки подогретой нефти.
Описание задачи¶
Основное требование к системам транспортировки нефти — обеспечение непрерывного и стабильного потока путем поддержания параметров (в частности температуры в трубопроводе) на уровне, значительно превосходящем температуру застывания. Более обширное исследование на тему оптимизации этой системы (диаметров трубопровода) приведено в работе [1].
Для прогноза температуры на выходе из трубопровода мы построили модель с использованием библиотеки блоков Теплопроводящая жидкость (TL, Thermal Liquid). Термодинамические свойства сырой нефти хранятся в матрицах, заданных в качестве параметров блока Thermal Liquid Properties, параметры трубопровода заданы в Обратных вызовах модели, а также могут быть загружены из JLD файла:
In [ ]:
Pkg.add("JLD2")
In [ ]:
using JLD2
@load "CrudeOilProperties.jld2";
Описание модели¶
Модель трубы для транспортировки нагретой нефти включает в себя
модели двух резервуаров на входе и выходе (с атмосферным давлением и заданной температурой и сечением выхода из резервуара),
насос постоянного расхода,
две модели учета теплопроводности (между нефтью и материалом трубы и между трубой и грунтом),
модель температуры грунта
и модель трубопровода (1000 м со стандартными параметрами).
Запустим эту модель при помощи командного управления:
In [ ]:
engee.open("pipeline-geometry-for-heated-oil-transportation.engee")
data = engee.run("pipeline-geometry-for-heated-oil-transportation")
Out[0]:
SimulationResult(
"Перед трубопроводом" => WorkspaceArray{Float64}("pipeline-geometry-for-heated-oil-transportation/Tup/Перед трубопроводом")
,
"После трубопровода" => WorkspaceArray{Float64}("pipeline-geometry-for-heated-oil-transportation/Tdown/После трубопровода")
)
In [ ]:
plot( data["Перед трубопроводом"].time, data["Перед трубопроводом"].value,
label="Перед трубопроводом", lw=2 )
plot!( data["После трубопровода"].time, data["После трубопровода"].value,
label="После трубопровода", lw=2 )
plot!( title="Динамика охлаждения нефти на выходе трубопровода", titlefont=font(12),
xlabel="Время, c", ylabel="Температура, К", legend=:right)
Out[0]:
При прохождении 1000 м трубопровода заданной геометрии с заданными параметрами потерь тепла, температура нефти упала лишь на 0.02 градуса.
Заключение¶
Запуская эту модель с разными параметрами мы можем подобрать оптимальный диаметр трубы, при котором нефть не остывает слишком сильно на указанном участке (1000 м). Это важно, чтобы избежать застывания и обеспечить стабильную перекачку без лишних затрат на подогрев. Такой подход позволяет проектировать более экономичные и надежные трубопроводы, заранее оценивая разные варианты без дорогостоящих экспериментов.
Библиография¶
- Probert S. D., Chu C. Y. Optimal pipeline geometries and oil temperatures for least rates of energy expenditure during crude-oil transmission //Applied Energy. – 1983. – Т. 14. – №. 1. – С. 1-31.
Блоки, использованные в примере¶
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