title: ÐÐ¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ Ð² ÑÐ¸ÑÑÐµÐ¼Ðµ Ð¿Ð»Ð°ÑÑ-ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ð°
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: Temperature prediction modeling for the system reservoir - well
Creators: name: ÐÑÐ¿Ð¾Ð²Ð°, ÐÐ°Ð»Ð¸Ð½Ð°
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: Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð³Ð°Ð·Ð°
ÑÐ¼ÐµÑÐ¸Ð²Ð°Ð½Ð¸Ðµ Ð³Ð°Ð·Ð¾Ð²
ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ñ
ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ð½ÐµÑÐ°Ð·ÑÑÐ²Ð½Ð¾ÑÑÐ¸
Ð±Ð°Ð»Ð°Ð½Ñ ÑÐ½ÐµÑÐ³Ð¸Ð¸
Ð±Ð°Ð»Ð°Ð½Ñ Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ°
gas flow model
mixing of gases equation of state
continuity equation
energy balance
momentum balance

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ Ð¿ÑÐ¸ÑÐ¾Ð´Ð½Ð¾Ð³Ð¾ Ð³Ð°Ð·Ð° Ð¿ÑÐ¸ ÐµÐ³Ð¾ ÑÐµÑÐµÐ½Ð¸Ð¸ Ð² Ð¾Ð´Ð½Ð¾ÑÐ¾Ð´Ð½Ð¾Ð¼, Ð¸Ð·Ð¾ÑÑÐ¾Ð¿Ð½Ð¾Ð¼ Ð¿Ð»Ð°ÑÑÐµ Ð¸ Ð² ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ðµ. 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Ð·ÑÑÐ¸ÑÑ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÐµ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ, Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÑÑÐ¸Ðµ Ð¾Ð¿Ð¸ÑÑÐ²Ð°ÑÑ Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ Ð¸ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð³Ð°Ð·Ð° Ð¿ÑÐ¸ ÐµÐ³Ð¾ Ð´Ð²Ð¸Ð¶ÐµÐ½Ð¸Ð¸ Ð² Ð¿Ð»Ð°ÑÑÐµ Ð¸ ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ðµ. ÐÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°ÑÑ Ð¸Ð¼ÐµÑÑÐ¸ÐµÑÑ ÑÐ°Ð±Ð¾ÑÑ Ð¿Ð¾ Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐµÐ¼Ð°ÑÐ¸ÐºÐµ. 2. Ð¡Ð¾Ð·Ð´Ð°ÑÑ Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð³Ð°Ð·Ð° Ð² Ð¿Ð»Ð°ÑÑÐµ Ð¸ ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ðµ. 3. ÐÐµÐºÐ¾Ð¼Ð¿Ð¾Ð·Ð¸ÑÐ¾Ð²Ð°ÑÑ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð½Ð° ÑÐ¾ÑÑÐ°Ð²Ð»ÑÑÑÐ¸Ðµ: Ð¿Ð»Ð°ÑÑ Ð¸ ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ð°. 4. ÐÐ»Ñ ÐºÐ°Ð¶Ð´Ð¾Ð¹ ÑÐ¾ÑÑÐ°Ð²Ð»ÑÑÑÐµÐ¹ Ð¾Ð¿Ð¸ÑÐ°ÑÑ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÑÑ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ, Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð¸ ÑÐºÐ¾ÑÐ¾ÑÑÐ¸ ÑÐ»ÑÐ¸Ð´Ð°. 5. Ð Ð°ÑÑÐ¼Ð¾ÑÑÐµÑÑ Ð¼Ð¾Ð´ÐµÐ»ÑÐ½ÑÑ Ð·Ð°Ð´Ð°ÑÑ, Ð² ÐºÐ¾ÑÐ¾ÑÐ¾Ð¹ Ð¾Ð±ÑÐµÐ´Ð¸Ð½ÐµÐ½Ñ Ð²ÑÐµ ÑÐ¾ÑÑÐ°Ð²Ð»ÑÑÑÐ¸Ðµ. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð±ÑÐ»Ð¸ ÑÐ¾Ð·Ð´Ð°Ð½Ñ ÑÑÐ¸ Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸: Ð´Ð»Ñ ÑÐ°ÑÑÐµÑÐ° ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ Ð¸ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð² Ð¿Ð»Ð°ÑÑÐµ; Ð´Ð»Ñ ÑÐ°ÑÑÐµÑÐ° ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ Ð¸ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð² ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ðµ Ð½Ð° ÑÑÐ°ÑÑÐºÐµ Ð±ÐµÐ· Ð¾ÑÑÐ¾ÐºÐ° Ð¸ Ð¿ÑÐ¸ÑÐ¾ÐºÐ° ÑÐ»ÑÐ¸Ð´Ð° ÑÐµÑÐµÐ· Ð±Ð¾ÐºÐ¾Ð²ÑÐµ ÑÑÐµÐ½ÐºÐ¸; ÑÐ¼ÐµÑÐ¸Ð²Ð°Ð½Ð¸Ðµ Ð³Ð°Ð·Ð¾Ð² Ð² ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ðµ Ð½Ð° Ð¸Ð½ÑÐµÑÐ²Ð°Ð»Ð°Ñ Ð¿ÑÐ¸ÑÐ¾ÐºÐ° Ð³Ð°Ð·Ð°. ÐÐ¾Ð¼Ð±Ð¸Ð½Ð¸ÑÑÑ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸, Ð¼Ð¾Ð¶Ð½Ð¾ ÑÐ¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°ÑÑ Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ Ð¸ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð´Ð»Ñ Ð»ÑÐ±Ð¾Ð¹ ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ñ.
description: This work is devoted to modeling of natural gas temperature change during its flow in a homogeneous, isotropic reservoir and in a well. The research sets the following goals: 1. To study the basic equations that allow describing the change in temperature and pressure of gas during its movement in the reservoir and well. To analyze the available works on this subject. 2. Create a model of gas flow in the reservoir and well. 3. Decompose the model into components: reservoir and well. 4. For each component, describe the mathematical model of temperature, pressure and fluid velocity changes. 5. Consider a model problem in which all components are combined. As a result, three analytical models were created: to calculate the temperature and pressure in the reservoir; to calculate the temperature and pressure in the well at the section without outflow and fluid inflow through the side walls; mixing of gases in the well at the intervals of gas inflow. By combining the resulting models, it is possible to simulate temperature and pressure changes for any well.