title: ÐÐ¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð´Ð²ÑÑ ÑÐ°Ð·Ð½Ð¾Ð³Ð¾ Ð¿Ð¾ÑÐ¾ÐºÐ° Ð² ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ðµ Ð¸ Ð°Ð´Ð°Ð¿ÑÐ°ÑÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ñ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸ÐµÐ¼ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¾Ð½Ð½ÑÑ ÑÑÐ½ÐºÑÐ¸Ð¹
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Modeling of a two-phase flow in a well and adaptation of the model using optimization functions
Creators: name: ÐÑÐ°Ð½Ð°ÑÑÐµÐ², ÐÐ»ÐµÐºÑÐ°Ð½Ð´Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2022
Subjects: ÐÐµÑÑÑÐ½ÑÐµ Ð¸ Ð³Ð°Ð·Ð¾Ð²ÑÐµ ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ñ
ÐºÐ¾ÑÑÐµÐ»ÑÑÐ¸Ñ Ð´Ð²ÑÑ ÑÐ°Ð·Ð½Ð¾Ð³Ð¾ Ð¿Ð¾ÑÐ¾ÐºÐ°
Ð³Ð»Ð¾Ð±Ð°Ð»ÑÐ½ÑÐµ Ð¼ÐµÑÐ¾Ð´Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸
two-phase flow correlation
global optimization method

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«ÐÐ¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð´Ð²ÑÑÑÐ°Ð·Ð½Ð¾Ð³Ð¾ Ð¿Ð¾ÑÐ¾ÐºÐ° Ð² ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ðµ Ð¸ Ð°Ð´Ð°Ð¿ÑÐ°ÑÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ñ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸ÐµÐ¼ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¾Ð½Ð½ÑÑ ÑÑÐ½ÐºÑÐ¸Ð¹. ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð°Ð½Ð°Ð»Ð¸Ð·Ñ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿ÐµÑÐµÐ¿Ð°Ð´Ð¾Ð² Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð¿Ð¾ ÑÑÐ²Ð¾Ð»Ñ ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ñ Ð¸ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ Ð¼ÐµÑÐ¾Ð´Ð° Ð°Ð´Ð°Ð¿ÑÐ°ÑÐ¸Ð¸ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð½Ð° ÑÐµÐ°Ð»ÑÐ½ÑÐµ Ð´Ð°Ð½Ð½ÑÐµ. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ ÑÐ°Ð±Ð¾ÑÑ: 1. ÐÐ½Ð°Ð»Ð¸Ð· Ð¿ÑÐ¸Ð¼ÐµÐ½Ð¸Ð¼Ð¾ÑÑÐ¸ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿Ð¾ÑÐ¾ÐºÐ° Ð² ÑÑÐ²Ð¾Ð»Ðµ ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ñ. 2. ÐÑÐ±Ð¾Ñ Ð¿Ð¾Ð´ÑÐ¾Ð´ÑÑÐµÐ³Ð¾ Ð¼ÐµÑÐ¾Ð´Ð°, Ð¿Ð¾Ð´ÑÐ¾Ð´ÑÑÐ¸Ð¹ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ°Ð¼ ÐºÐ¾Ð½ÐºÑÐµÑÐ½Ð¾Ð¹ ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ñ, Ð¸ ÐµÐ³Ð¾ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ. 3. ÐÐ´Ð°Ð¿ÑÐ°ÑÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ñ, Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÑ Ð¼ÐµÑÐ¾Ð´Ñ Ð³Ð»Ð¾Ð±Ð°Ð»ÑÐ½Ð¾Ð¹ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸. 4. ÐÐ½Ð°Ð»Ð¸Ð· Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¸ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ñ ÐºÐ¾Ð¼Ð¼ÐµÑÑÐµÑÐºÐ¸Ð¼ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½ÑÐ¼ Ð¿ÑÐ¾Ð´ÑÐºÑÐ¾Ð¼ â Ð°Ð½Ð°Ð»Ð¾Ð³Ð¾Ð¼. Ð Ð°Ð±Ð¾ÑÐ° Ð±ÑÐ»Ð° Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð° Ð½Ð° Ð±Ð°Ð·Ðµ ÐÐÐ Â«ÐÐ°Ð·Ð¿ÑÐ¾Ð¼Ð½ÐµÑÑÑ ÐÐ¢Ð¦Â», Ð¾ÑÐºÑÐ´Ð° Ð±ÑÐ»Ð° Ð²Ð·ÑÑÐ° Ð²ÑÑ Ð½ÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼Ð°Ñ Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ñ: Ð´Ð°Ð½Ð½ÑÐµ Ð¾ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ð¸ ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ñ, Ð¸Ð½ÐºÐ»Ð¸Ð½Ð¾Ð¼ÐµÑÑÐ¸Ñ ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ñ, Ð´Ð°Ð½Ð½ÑÐµ Ð¾ ÑÐ²Ð¾Ð¹ÑÑÐ²Ð°Ñ Ð´Ð¾Ð±ÑÐ²Ð°ÐµÐ¼Ð¾Ð³Ð¾ ÑÐ»ÑÐ¸Ð´Ð°, ÑÐ²Ð¾Ð¹ÑÑÐ²Ð° Ð¿Ð»Ð°ÑÑÐ°, ÑÐµÑÐ½Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ðµ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÑ ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ñ, Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð² ÑÑÐ²Ð¾Ð»Ðµ ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ñ Ð½Ð° ÑÐ°Ð·Ð½ÑÑ Ð³Ð»ÑÐ±Ð¸Ð½Ð°Ñ. ÐÐ»Ñ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð»Ð¾ÑÑ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ðµ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ðµ PROSPER. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð±ÑÐ»Ð° ÑÐ¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð° ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ð° Ð½Ð° ÑÐ·ÑÐºÐµ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Python Ñ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸ÐµÐ¼ ÐºÐ¾ÑÑÐµÐ»ÑÑÐ¸Ð¸ Beggs and Brill Ð¸ Ð°Ð´Ð°Ð¿ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð° Ñ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸ÐµÐ¼ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸, Ð¸Ð· ÐºÐ¾ÑÐ¾ÑÑÑ Ð»ÑÑÑÐµ Ð²ÑÐµÐ³Ð¾ Ð¿ÑÐ¾ÑÐ²Ð¸Ð» ÑÐµÐ±Ñ Ð¼ÐµÑÐ¾Ð´ ÑÐ¸Ð¼Ð¿Ð»ÐµÐºÑÐ½Ð¾Ð¹ Ð³Ð¾Ð¼Ð¾Ð»Ð¾Ð³Ð¸Ð¸. ÐÐ° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² ÑÐ´ÐµÐ»Ð°Ð½ Ð²ÑÐ²Ð¾Ð´, ÑÑÐ¾ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÑ ÐºÐ¾ÑÑÐµÐ»ÑÑÐ¸Ð¸ Ð°Ð´Ð°Ð¿ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¿Ð¾Ð´Ð¾Ð±ÑÐ°Ð½Ñ Ð²ÐµÑÐ½Ð¾ Ð¸ Ð»ÐµÐ¶Ð°Ñ Ð² Ð³ÑÐ°Ð½Ð¸ÑÐ°ÑÂ Ð¿ÑÐ¸Ð¼ÐµÐ½Ð¸Ð¼Ð¾ÑÑÐ¸, Ð² Ð¾ÑÐ»Ð¸ÑÐ¸Ð¸ Ð¾Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸, ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½Ð½Ð¾Ð¹ Ð² ÐÐ PROSPER.
description: The subject of the graduate qualification work is: "Modeling of a two-phase flow in a well and adaptation of the model using optimization functions. This work is devoted to the analysis of methods for modeling pressure drops along the borehole and the development of a method for adapting the model to real data. Tasks that were solved during the work: 1. Analysis of the applicability of flow modeling methods in the borehole. 2. Selection of a suitable method suitable to the characteristics of a particular well, and its implementation. 3. Adaptation of the well model using global optimization methods. 4. Analysis of the results obtained and comparison with a commercial software product â analog.The work was carried out on the basis of Â«Gazpromneft STCÂ», from where all the necessary information was taken: data on the well design, well inclinometry, data on the properties of the extracted fluid, reservoir properties, technological parameters of the well, pressure in the wellbore at different depths. The PROSPER software was used to compare the results obtained. As a result, the well was modeled in the Python programming language using the Beggs and Brill correlation and adapted using optimization methods, of which the simplex homology method proved to be the best. Based on the results obtained, it is concluded that the correlation parameters of the adapted model are selected correctly and lie within the limits of applicability, unlike the model implemented in the PROSPER software.