title: Ð Ð°Ð·Ð²Ð¸ÑÐ¸Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¾ÑÐ¸ÑÑÐºÐ¸ ÑÑÐµÑÐ¸Ð½Ñ ÐÐ Ð
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: Development of fracture cleaning model
Creators: name: ÐÐ°ÑÐ°Ð¿Ð¾Ð²Ð°, 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: 2023
Subjects: ÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
ÐÐµÑÑÑÐ½ÑÐµ Ð¸ Ð³Ð°Ð·Ð¾Ð²ÑÐµ ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ñ
Ð³Ð¸Ð´ÑÐ¾ÑÐ°Ð·ÑÑÐ² Ð¿Ð»Ð°ÑÑÐ°
Ð¿ÑÐ¾Ð¿Ð°Ð½ÑÐ¾Ð²Ð°Ñ Ð¿Ð°ÑÐºÐ°
Ð±Ð¸Ð»Ð¸Ð½ÐµÐ¹Ð½ÑÐ¹ ÑÐµÐ¶Ð¸Ð¼ ÑÐµÑÐµÐ½Ð¸Ñ
ÐºÑÐ¸ÑÐ¸ÑÐµÑÐºÐ°Ñ Ð´Ð»Ð¸Ð½Ð° Ð¾ÑÐ¸ÑÑÐºÐ¸ ÑÑÐµÑÐ¸Ð½Ñ
hydraulic fracturing
proppant pack
bilinear flow regime
critical fracture cleaning length

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ°Ð·Ð²Ð¸ÑÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¾ÑÐ¸ÑÑÐºÐ¸ ÑÑÐµÑÐ¸Ð½Ñ ÐÐ Ð Ð¸ ÐÐÐ  ÑÐºÐ²Ð°Ð¶Ð¸Ð½Ñ, Ð°Ð½Ð°Ð»Ð¸Ð· Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ñ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð²Ð½ÑÑÑÐ¸ ÑÑÐµÑÐ¸Ð½Ñ Ð¸ ÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÐµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð´Ð»Ð¸Ð½Ñ Ð¾ÑÐ¸ÑÑÐºÐ¸ ÑÑÐµÑÐ¸Ð½Ñ Ð¿ÑÐ¸ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ ÑÐµÐ¶Ð¸Ð¼Ð°Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð¶Ð¸Ð´ÐºÐ¾ÑÑÐ¸. 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ÑÐ²Ð¾Ð´ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð²Ð½ÑÑÑÐ¸ ÑÑÐµÑÐ¸Ð½Ñ Ð¸ Ð´Ð»Ð¸Ð½Ñ Ð¾ÑÐ¸ÑÑÐºÐ¸ Ð¿ÑÐ¾Ð¿Ð°Ð½ÑÐ¾Ð²Ð¾Ð¹ Ð¿Ð°ÑÐºÐ¸ Ð² ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÐ¹ Ð¼Ð¾Ð¼ÐµÐ½Ñ Ð²ÑÐµÐ¼ÐµÐ½Ð¸ Ð´Ð»Ñ Ð±Ð¸Ð»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð³Ð¾ ÑÐµÐ¶Ð¸Ð¼Ð° ÑÐµÑÐµÐ½Ð¸Ñ. 2. ÐÑÐ²Ð¾Ð´ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð²Ð½ÑÑÑÐ¸ ÑÑÐµÑÐ¸Ð½Ñ Ð¸ Ð´Ð»Ð¸Ð½Ñ Ð¾ÑÐ¸ÑÑÐºÐ¸ Ð¿ÑÐ¾Ð¿Ð°Ð½ÑÐ¾Ð²Ð¾Ð¹ Ð¿Ð°ÑÐºÐ¸ Ð² ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÐ¹ Ð¼Ð¾Ð¼ÐµÐ½Ñ Ð²ÑÐµÐ¼ÐµÐ½Ð¸ Ð´Ð»Ñ Ð»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð³Ð¾ ÑÐµÐ¶Ð¸Ð¼Ð° ÑÐµÑÐµÐ½Ð¸Ñ. 3. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ Ð´Ð»Ð¸Ð½Ñ Ð¾ÑÐ¸ÑÑÐºÐ¸ ÑÑÐµÑÐ¸Ð½Ñ Ð¿ÑÐ¸ ÑÑÐµÑÐµ ÑÑÐ»Ð¾Ð²Ð¸Ñ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ Ð·Ð°Ð±Ð¾Ð¹Ð½Ð¾Ð³Ð¾ Ð¾Ñ Ð²ÑÐµÐ¼ÐµÐ½Ð¸. ÐÐ»Ñ ÑÐ°Ð·Ð²Ð¸ÑÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¾ÑÐ¸ÑÑÐºÐ¸ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð»Ð¸ Ð¿Ð¾Ð»ÑÐ°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¸Ð¹ Ð¼ÐµÑÐ¾Ð´: Ð¾ÑÐ½Ð¾Ð²Ð½ÑÐµ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ð²ÑÐ²Ð¾Ð´Ð¸Ð»Ð¸ÑÑ Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¸Ð¼ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼, ÑÐ°Ð·ÑÐµÑÐ°Ð»Ð¸ÑÑ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¼ÐµÑÐ¾Ð´Ð° Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÐ·ÑÐºÐ° Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Python.
description: The topic of the final qualification work is "Development of fracture cleaning model". This work is devoted to the development of the model of fracture cleanup and well BHP, analysis of the pressure behavior inside the fracture and numerical studies of the fracture cleanup length at different modes of fluid flow. The problems that were solved during the study are: 1. To derive the characteristic of the pressure inside the fracture and the clearing length of the proppant pack at different time points for the bilinear flow regime. 2. Deriving the characteristic of the pressure inside the fracture and the proppant pack cleaning length at different time points for the linear flow regime. 3. Study of changes in the fracture cleaning length when taking into account the condition of dependence of bottomhole flow on time. Semi-analytical method was used for development of cleaning model: basic equations were derived by analytical method, solved by numerical method using Python programming language.