title: ÐÐ°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÑ Ð´ÐµÐ±ÐµÑÐ° Ð¾Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ Ð² ÑÑÐ²Ð¾Ð»Ðµ Ð´Ð¾Ð±ÑÐ²Ð°ÑÑÐµÐ¹ ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ñ
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: The dependence of the flow rate on the temperature in the wellbore
Creators: name: ÐÐ¾ÑÐ¾ÑÐ¸Ð½, ÐÐ°Ð½Ð¸Ð»
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: 2024
Subjects: Ð£Ð­Ð¦Ð
tNavigator
Ð´ÐµÐ±Ð¸Ñ
Ð¸ÑÑÐ¾ÑÐ½Ð¸Ðº Ð¿Ð¾ÑÑÐ¾ÑÐ½Ð½Ð¾Ð³Ð¾ Ð¿ÑÐ¸ÑÐ¾ÐºÐ° ÑÐµÐ¿Ð»Ð°
ÐºÐ¾ÑÑÐµÐ»ÑÑÐ¸Ñ
Ð­Ð¦Ð
Python
ESP
debit
constant heat source
correlation

description: Ð ÑÐ°Ð±Ð¾ÑÐµ Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½Ð¾Ð¹ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ Ð´ÐµÐ±Ð¸ÑÐ° Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð²ÐµÑÑÐ¸ÐºÐ°Ð»ÑÐ½Ð¾Ð¹ Ð´Ð¾Ð±ÑÐ²Ð°ÑÑÐµÐ¹ ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ñ Ð¸ Ð¼Ð¾Ð´ÐµÐ»Ð¸, ÑÐ¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ðµ tNavigator. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1. ÐÐ¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð²ÐµÑÑÐ¸ÐºÐ°Ð»ÑÐ½Ð¾Ð¹ Ð´Ð¾Ð±ÑÐ²Ð°ÑÑÐµÐ¹ ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ñ. 2. ÐÐ½Ð°Ð»Ð¸Ð· Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½Ð¾Ð¹ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½Ð¾Ð¹ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ Ð´ÐµÐ±Ð¸ÑÐ°. 3. ÐÐ¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½Ð¾Ð¹ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ Ð´ÐµÐ±Ð¸ÑÐ° Ð²ÐµÑÑÐ¸ÐºÐ°Ð»ÑÐ½Ð¾Ð¹ Ð´Ð¾Ð±ÑÐ²Ð°ÑÑÐµÐ¹ ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ñ Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ðµ tNavigator. 4. ÐÐ½Ð°Ð»Ð¸Ð· Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐµÐ¹. ÐÑÐ»Ð° Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð° Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð²ÐµÑÑÐ¸ÐºÐ°Ð»ÑÐ½Ð¾Ð¹ Ð´Ð¾Ð±ÑÐ²Ð°ÑÑÐµÐ¹ ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ñ, Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÑÐµÑÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½ÑÐ½Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐµÑÐ½Ð¾Ð¹ Ð½ÐµÐ»ÐµÑÑÑÐµÐ¹ Ð½ÐµÑÑÐ¸ ÐÐ°ÑÐºÐµÑÐ°-ÐÐµÑÐµÑÐ°, Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÑÐµÑÑÐ°Ð·Ð½Ð¾Ð¹ Ð¸Ð·Ð¾ÑÐµÑÐ¼Ð¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ¸Ð»ÑÑÑÐ°ÑÐ¸Ð¸ Ð² ÑÑÑÑÐ¼ÐµÑÐ½Ð¾Ð¼ Ð¿Ð»Ð°ÑÑÐµ Ð²Ð¾ÐºÑÑÐ³ ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ñ Ñ ÑÑÐµÑÐ¾Ð¼ ÑÐ°Ð·Ð¾Ð²ÑÑ Ð¿ÐµÑÐµÑÐ¾Ð´Ð¾Ð² ÑÐ¾Ð³Ð»Ð°ÑÐ½Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð½ÐµÐ»ÐµÑÑÑÐµÐ¹ Ð½ÐµÑÑÐ¸. Ð¢Ð°ÐºÐ¶Ðµ Ð±ÑÐ»Ð° Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð° ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½Ð°Ñ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÑ Ð´ÐµÐ±Ð¸ÑÐ° Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ðµ tNavigator, Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð¸Ð½ÑÐµÐ³ÑÐ°ÑÐ¸Ð¸ Ð¸ÑÑÐ¾ÑÐ½Ð¸ÐºÐ° Ð¿Ð¾ÑÑÐ¾ÑÐ½Ð½Ð¾Ð³Ð¾ Ð½Ð°Ð³ÑÐµÐ²Ð°. Ð ÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½Ð½ÑÑ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ ÑÐ²ÐµÐ´ÐµÐ½Ñ Ð² Ð¾Ð´Ð¸Ð½, Ð´Ð»Ñ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¸ Ð²ÑÐ²Ð¾Ð´Ð° ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÑÐµÑÐºÐ¾Ð¹ Ð²ÑÐ³Ð¾Ð´Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ñ Ð´Ð°Ð½Ð½Ð¾Ð³Ð¾ Ð¼ÐµÑÐ¾Ð´Ð° Ð² Ð´Ð¾Ð±ÑÑÐµ.
description: The paper presents the results of a study of the temperature dependence of the flow rate of a mathematical model of a vertical production well and a model designed in the tNavigator program. Tasks that were solved in the course of the study: 1. Building a mathematical model of a vertical production well. 2. Analysis of the obtained temperature dependence of the flow rate. 3. Construction of the temperature dependence of the flow rate of a vertical production well in the tNavigator program. 4. Analysis of the obtained dependencies. A mathematical model of a vertical production well was built using a threecomponent model of black non-volatile oil Masket-Meres, a model of three-phase isothermal filtration in a three-dimensional reservoir around the well, taking into account phase transitions according to the model of non-volatile oil. The temperature dependence of the flow rate was also built in the tNavigator program, using the integration of a constant heating source. The results of the presented models are summarized in one, for the analysis and conclusion of the economic benefits of using this method in production.