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Propagation of a Plane Strain Hydraulic Fracture With a Fluid Lag in Permeable Rock

B. Chen, Andrew Barron, D. R. J. Owen, Chen-Feng Li, Chenfeng Li Orcid Logo, Roger Owen Orcid Logo

Journal of Applied Mechanics, Volume: 85, Issue: 9, Start page: 091003

Swansea University Authors: Andrew Barron, Chenfeng Li Orcid Logo, Roger Owen Orcid Logo

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DOI (Published version): 10.1115/1.4040331

Abstract

Based on the KGD scheme, this paper investigates, with both analytical and numerical approaches, the propagation of a hydraulic fracture with a fluid lag in permeable rock. On the analytical aspect, the general form of normalized governing equations is first formulated to take into account both flui...

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Published in: Journal of Applied Mechanics
ISSN: 0021-8936
Published: 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa43364
first_indexed 2018-08-14T18:56:36Z
last_indexed 2018-10-09T19:34:37Z
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spelling 2018-10-09T14:19:32.8380770 v2 43364 2018-08-14 Propagation of a Plane Strain Hydraulic Fracture With a Fluid Lag in Permeable Rock 92e452f20936d688d36f91c78574241d Andrew Barron Andrew Barron true false 82fe170d5ae2c840e538a36209e5a3ac 0000-0003-0441-211X Chenfeng Li Chenfeng Li true false 0303b9485caf6fbc8787397a5d926d1c 0000-0003-2471-0544 Roger Owen Roger Owen true false 2018-08-14 Based on the KGD scheme, this paper investigates, with both analytical and numerical approaches, the propagation of a hydraulic fracture with a fluid lag in permeable rock. On the analytical aspect, the general form of normalized governing equations is first formulated to take into account both fluid lag and leak-off during the process of hydraulic fracturing. Then a new self-similar solution corresponding to the limiting case of zero dimensionless confining stress (T=0) and infinite dimensionless leak-off coefficient (L=∞) is obtained. A dimensionless parameter R is proposed to indicate the propagation regimes of hydraulic fracture in more general cases, where R is defined as the ratio of the two time-scales related to the dimensionless confining stress T and the dimensionless leak-off coefficient L. In addition, a robust finite element-based KGD model has been developed to simulate the transient process from L=0 to L=∞ under T=0, and the numerical solutions converge and agree well with the self-similar solution at T=0 and L=∞. More general processes from T=0 and L=0 to T=∞ and L=∞ for three different values of R are also simulated, which proves the effectiveness of the proposed dimensionless parameter R for indicating fracture regimes. Journal Article Journal of Applied Mechanics 85 9 091003 0021-8936 30 9 2018 2018-09-30 10.1115/1.4040331 COLLEGE NANME COLLEGE CODE Swansea University 2018-10-09T14:19:32.8380770 2018-08-14T14:39:19.0078695 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering B. Chen 1 Andrew Barron 2 D. R. J. Owen 3 Chen-Feng Li 4 Chenfeng Li 0000-0003-0441-211X 5 Roger Owen 0000-0003-2471-0544 6 0043364-15082018144444.pdf chen2018(2).pdf 2018-08-15T14:44:44.5570000 Output 713205 application/pdf Accepted Manuscript true 2019-06-14T00:00:00.0000000 true eng
title Propagation of a Plane Strain Hydraulic Fracture With a Fluid Lag in Permeable Rock
spellingShingle Propagation of a Plane Strain Hydraulic Fracture With a Fluid Lag in Permeable Rock
Andrew Barron
Chenfeng Li
Roger Owen
title_short Propagation of a Plane Strain Hydraulic Fracture With a Fluid Lag in Permeable Rock
title_full Propagation of a Plane Strain Hydraulic Fracture With a Fluid Lag in Permeable Rock
title_fullStr Propagation of a Plane Strain Hydraulic Fracture With a Fluid Lag in Permeable Rock
title_full_unstemmed Propagation of a Plane Strain Hydraulic Fracture With a Fluid Lag in Permeable Rock
title_sort Propagation of a Plane Strain Hydraulic Fracture With a Fluid Lag in Permeable Rock
author_id_str_mv 92e452f20936d688d36f91c78574241d
82fe170d5ae2c840e538a36209e5a3ac
0303b9485caf6fbc8787397a5d926d1c
author_id_fullname_str_mv 92e452f20936d688d36f91c78574241d_***_Andrew Barron
82fe170d5ae2c840e538a36209e5a3ac_***_Chenfeng Li
0303b9485caf6fbc8787397a5d926d1c_***_Roger Owen
author Andrew Barron
Chenfeng Li
Roger Owen
author2 B. Chen
Andrew Barron
D. R. J. Owen
Chen-Feng Li
Chenfeng Li
Roger Owen
format Journal article
container_title Journal of Applied Mechanics
container_volume 85
container_issue 9
container_start_page 091003
publishDate 2018
institution Swansea University
issn 0021-8936
doi_str_mv 10.1115/1.4040331
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
document_store_str 1
active_str 0
description Based on the KGD scheme, this paper investigates, with both analytical and numerical approaches, the propagation of a hydraulic fracture with a fluid lag in permeable rock. On the analytical aspect, the general form of normalized governing equations is first formulated to take into account both fluid lag and leak-off during the process of hydraulic fracturing. Then a new self-similar solution corresponding to the limiting case of zero dimensionless confining stress (T=0) and infinite dimensionless leak-off coefficient (L=∞) is obtained. A dimensionless parameter R is proposed to indicate the propagation regimes of hydraulic fracture in more general cases, where R is defined as the ratio of the two time-scales related to the dimensionless confining stress T and the dimensionless leak-off coefficient L. In addition, a robust finite element-based KGD model has been developed to simulate the transient process from L=0 to L=∞ under T=0, and the numerical solutions converge and agree well with the self-similar solution at T=0 and L=∞. More general processes from T=0 and L=0 to T=∞ and L=∞ for three different values of R are also simulated, which proves the effectiveness of the proposed dimensionless parameter R for indicating fracture regimes.
published_date 2018-09-30T01:44:15Z
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score 11.048453

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