DOI: 10.1002/2014GL060481
论文题名: Assessment of the validity of Stokes and Reynolds equations for fluid flow through a rough-walled fracture with flow imaging
作者: Lee S.H. ; Lee K.-K. ; Yeo I.W.
刊名: Geophysical Research Letters
ISSN: 0094-9971
EISSN: 1944-9702
出版年: 2014
卷: 41, 期: 13 起始页码: 4578
结束页码: 4585
语种: 英语
英文关键词: Reynolds equation
; rough-walled fractures
; Stokes equation
; validity
Scopus关键词: Carbon dioxide
; Flow rate
; Fracture
; Geothermal fields
; Navier Stokes equations
; Radioactive wastes
; Reynolds number
; Geological storage
; Geothermal reservoir
; Order-of-magnitude analysis
; Orders of magnitude
; Radioactive waste repository
; Rough-walled fractures
; Stokes equations
; validity
; Reynolds equation
; exploitation
; fluid flow
; fracture
; radioactive waste
; repository
; reservoir characterization
; Reynolds number
; Stokes formula
英文摘要: Understanding fluid flow through a rough-walled fracture is important in many problems such as petroleum and geothermal reservoir exploitation, geological storage of CO2 , and sitting of radioactive waste repositories. In order to advance the understanding of fracture flow, we conducted the first direct measurement of flow velocity across rough-walled fractures at Reynolds number (Re) of 0.014 to 0.086. The results were used for an order of magnitude analysis to evaluate assumptions underlying the Stokes and the Reynolds equations, which are derived from simplifying the Navier-Stokes equations. Even at very rough subregions, viscous forces were at least 2 orders of magnitude greater than inertial forces, indicating that the Stokes equations are valid for Re < 0.1. However, the assumption made in the derivation of the Reynolds equation that ∂2ux /∂z2 is dominant over other viscous terms was not satisfied even at moderate roughness for Re < 0.1. The Reynolds equation overestimated flow rate. Key Points Velocity is first directly measured in a rough-walled fracture for Re < 0.1 The Stokes equations are valid for Re < 0.1 regardless of the fracture roughness The Reynolds equation overestimates flow rate even for Re < 0.1 ©2014. American Geophysical Union. All Rights Reserved. URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84923014990&doi=10.1002%2f2014GL060481&partnerID=40&md5=bbf38b2afdadee2d5aa9bf01f8c11759
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资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/7235
Appears in Collections: 气候减缓与适应
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作者单位: School of Earth and Environmental Sciences, Seoul National University, Seoul, South Korea
Recommended Citation:
Lee S.H.,Lee K.-K.,Yeo I.W.. Assessment of the validity of Stokes and Reynolds equations for fluid flow through a rough-walled fracture with flow imaging[J]. Geophysical Research Letters,2014-01-01,41(13).