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API Recommended Practice 585:2014-Pressure Equipment Integrity Incident Investigation
API 585:2014-Pressure Equipment Integrity Incident Investigation
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API Recommended Practice 585:2014-Pressure Equipment Integrity Incident Investigation
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Engineers’ Guide to Pressure Equipment
Professional Engineering Publishing Limited
London and Bury St Edmunds, UK
سرفصلها
Chapter 1 Websites: Quick Reference 1
1.1 Organizations and associations 1
1.2 General technical information 4
1.3 Directives and legislation 6
1.4 The KKS power plant classification system 7
Chapter 2 Pressure Equipment Types and Components 11
2.1 What is pressure equipment? 11
2.2 Pressure equipment categories 11
2.3 Pressure equipment symbols 13
Chapter 3 Basic Design 21
3.1 Introduction – the influence of codes and standards 21
3.2 Vessel design – basic points 21
3.2.1 Design basis 21
3.2.2 Safety first – corrosion allowance and welded
joint efficiency 23
3.2.3 Pressure vessel cylinders 24
3.2.4 Vessel classes 25
3.2.5 Heads 25
3.2.6 Openings and compensation 29
3.2.7 Inspection openings 32
3.2.8 Pipes and flanges 33
3.2.9 Pads 33
3.2.10 Vessel supports 34
3.3 Simple pressure vessels (SPVs) – basic design 35
3.3.1 Material selection 35
3.3.2 Welds 37
3.3.3 Stress calculations 37
vi Engineers’ Guide to Pressure Equipment
3.4 Gas cylinders – basic design 39
3.5 Heat exchangers – basic design 47
3.5.1 Contact-type exchangers 47
3.5.2 Surface-type exchangers 47
3.5.3 Thermal design 47
3.5.4 Special applications 53
3.6 Design by Analysis (DBA) – pr EN 13445 53
3.6.1 What does DBA offer? 53
3.6.2 How does DBA fit into pr EN 13445? 55
3.6.3 DBA – the technical basis 55
Chapter 4 Applications of Pressure Vessel Codes 59
4.1 Principles 59
4.2 Code compliance and intent 59
4.3 Inspection and test plans (ITPs) 60
4.4 Important code content 63
4.5 PD 5500 64
4.5.1 PD 5500 and the PED ESRs 70
4.6 The ASME vessel codes 76
4.6.1 Summary 76
4.6.2 Allowable stresses 81
4.6.3 Cylindrical vessel shells 81
4.6.4 Flat plates, covers, and flanges 85
4.6.5 Vessel openings – general 90
4.6.6 Heat exchangers 91
4.6.7 Special analyses 91
4.6.8 ASME ‘intent’ 95
4.7 TRD 96
4.8 Air receivers 98
4.9 Shell boilers: BS 2790 and EN 12953 101
4.10 Canadian standards association B51-97, part 1 boiler,
pressure vessel, and piping code – 1997 106
4.11 CODAP – unfired pressure vessels 107
4.12 Water tube boilers: BS 1113/pr EN 12952 107
4.13 Materials and referenced standards – quick reference 109
4.14 Pressure vessel codes – some referenced standards 111
Chapter 5 Manufacture, QA, Inspection, and Testing 113
5.1 Manufacturing methods and processes 113
5.2 Vessel visual and dimensional examinations 114
5.2.1 The vessel visual examination 114
5.2.2 The vessel dimensional check 116
5.2.3 Vessel markings 118
5.3 Misalignment and distortion 118
5.3.1 What causes misalignment and distortion? 118
5.3.2 Toleranced features 119
5.4 Pressure and leak testing 122
5.4.1 The point of a pressure test 122
5.4.2 The standard hydrostatic test 123
5.4.3 Pneumatic testing 124
5.4.4 Vacuum leak testing 125
5.5 ASME certification 126
5.5.1 The role of the AI (Authorized Inspector) 126
5.5.2 Manufacturers’ data report forms 127
5.5.3 The code symbol stamps 129
5.5.4 ASME and the European Pressure Equipment
Directive (PED) 131
5.6 European inspection terms and bodies: EN 45004: 1995 132
5.7 The role of ISO 9000 133
5.7.1 The objectives of the changes 133
5.7.2 What will the new standards be? 134
5.7.3 What are the implications? 134
5.7.4 The ‘new format’ ISO 9001: 2000 134
Chapter 6 Flanges, Nozzles, Valves, and Fittings 137
6.1 Flanges 137
6.2 Valves 141
6.2.1 Types of valves 141
6.2.2 Valve technical standards 141
6.3 Safety devices 151
6.3.1 Safety relief valves – principles of operation 152
6.3.2 Terminology – safety valves 153
6.4 Nozzles 155
6.5 Power piping – ASME/ANSI B31.1 code 158
6.6 Fittings 161
6.6.1 Pressure equipment fittings 161
6.6.2 Pipework classification 161
Chapter 7 Boilers and HRSGs 167
7.1 Fundamentals of heat transfer 167
7.1.1 Specific heat, c 167
7.1.2 Enthalpy, h 167
viii Engineers’ Guide to Pressure Equipment
7.1.3 Latent heat 168
7.1.4 Steam characteristics 168
7.1.5 Gas characteristics 173
7.2 Heat recovery steam generators (HRSGs) 173
7.2.1 General description 173
7.2.2 HRSG operation 176
7.2.3 HRSG terms and definitions 180
7.2.4 HRSG materials 183
Chapter 8 Materials of Construction 185
8.1 Plain carbon steels — basic data 185
8.2 Alloy steels 185
8.3 Stainless steels – basic data 186
8.4 Non-ferrous alloys – basic data 189
8.5 Material traceability 190
8.6 Materials standards – references 192
Chapter 9 Welding and NDT 195
9.1 Weld types and symbols 195
9.2 Weld processes 195
9.3 Welding standards and procedures 203
9.4 Destructive testing of welds 205
9.4.1 Test plates 205
9.4.2 The tests 205
9.5 Non-destructive testing (NDT) techniques 209
9.5.1 Visual examination 209
9.5.2 Dye penetrant (DP) testing 209
9.5.3 Magnetic particle (MP) testing 212
9.5.4 Ultrasonic testing (UT) 213
9.5.5 Radiographic testing (RT) 219
9.6 NDT acronyms 223
9.7 NDT: vessel code applications 225
9.8 NDT standards and references 227
Chapter 10 Failure 229
10.1 How pressure equipment materials fail 229
10.1.1 LEFM method 230
10.1.2 Multi-axis stresses states 231
10.2 Fatigue 232
10.2.1 Typical pressure equipment material fatigue limits 233
10.2.2 Fatigue strength – rules of thumb 234
10.3 Creep 235
10.4 Corrosion 238
10.4.1 Types of corrosion 238
10.4.2 Useful references 241
10.5 Boiler failure modes 241
10.6 Failure-related terminology 244
Chapter 11 Pressure Equipment: Directives and Legislation 249
11.1 Introduction: what’s this all about? 249
11.1.1 The driving forces 249
11.1.2 The EU ‘new approaches’ 250
11.2 The role of technical standards 250
11.2.1 Harmonized standards 250
11.2.2 National standards 251
11.2.3 The situation for pressure equipment 251
11.3 Vessel ‘statutory’ certification 253
11.3.1 Why was certification needed? 253
11.3.2 What was certification? 253
11.3.3 Who could certificate vessels? 254
11.4 The CE mark – what is it? 255
11.5 Simple pressure vessels 255
11.6 The simple pressure vessels directive and regulations 256
11.6.1 SPVs – summary 256
11.6.2 Categories of SPVs 257
11.6.3 SPV harmonized standards 264
11.7 Transportable pressure receptacles: legislation and
regulations 265
11.7.1 TPRs legislation 265
11.8 The pressure equipment directive (PED) 97/23/EC 271
11.8.1 PED summary 271
11.8.2 PED – its purpose 273
11.8.3 PED – its scope 273
11.8.4 PED – its structure 274
11.8.5 PED – conformity assessment procedures 275
11.8.6 Essential safety requirements (ESRs) 294
11.8.7 Declaration of conformity 311
11.8.8 Pressure equipment marking 312
11.9 Pressure Equipment Regulations 1999 312
11.9.1 The Pressure Equipment regulations – structure 312
11.10 Notified Bodies 314
11.10.1 What are they? 314
x Engineers’ Guide to Pressure Equipment
11.10.2 UK Notified Bodies 314
11.11 Sources of information 317
11.11.1 Pressure system safety – general 317
11.11.2 Transportable pressure receptacles (gas cylinders) 318
11.11.3 The simple pressure vessel directive/regulations 318
11.11.4 The pressure equipment directive 318
11.11.5 The pressure equipment regulations 319
11.11.6 PSSRs and written schemes 319
Chapter 12 In-service Inspection 321
12.1 A bit of history 321
12.2 The Pressure Systems Safety Regulations (PSSRs) 2000 322
Chapter 13 References and Information Sources 325
13.1 European Pressure Equipment Research Council (EPERC) 325
13.2 European and American associations and organizations
relevant to pressure equipment activities 327
13.3 Pressure vessel technology references 335
Appendix 1 Steam Properties Data 337
Appendix 2 Some European Notified Bodies (PED) 343
Notified Bodies (PED Article 12) 343
Recognized Third-Party Organizations (PED Article 13) 348
Appendix 3 Standards and Directives Current Status 351
Companion Guide to the ASME Boiler & Pressure Vessel Code Fourth Edition VOLUME 1
Criteria and Commentary on Select Aspects of the
Boiler & Pressure Vessel and Piping Codes
ناشر : موسسه ASME
سال انتشار : 2012
فرمت کتاب: PDF
Dedication to the First Edition
Robert E. Nickell and William E. Cooper
Acknowledgements (to the First Edition)
Acknowledgements (to the Second Edition)
Acknowledgements (to the Third Edition)
Acknowledgements (to the Fourth Edition)
Contributor Biographies
Preface to the First Edition
K. R. Rao and Robert E. Nickell
Preface to the Second Edition
K. R. Rao
Preface to the Third Edition
K. R. Rao
Preface to the Fourth Edition
K. R. Rao
Introduction
Organization and Operation of the ASME
Boiler and Pressure Vessel Committee
PART 1: POWER BOILERS—SECTIONS I & VII
OF B&PV CODE
CHAPTER 1 Introduction to Power Boilers
John R. MacKay
1.1 Introduction
1.2 History and Philosophy of Section I
1.3 The Organization of Section I
1.4 Scope of Section I: Pressure Limits and
Exclusions
1.5 Distinction Between Boiler Proper Piping and
Boiler External Piping
1.6 How and Where Section I is Enforced and
Effective Dates
1.7 Fundamentals of Section I Construction
1.8 References
1.9 Design Exercises
CHAPTER 2 Section VII—Recommended
Guidelines for the Care of Power Boilers
James T. Pillow, Edmund W. K. Chang and
Geoffrey M. Halley
2.1 Introduction - Chapter 2
2.2 Introduction - Section VII
2.3 Fundamentals—Subsection C1
2.4 Boiler Operation—Subsection C2
2.5 Boiler Auxiliaries—Subsection C3
2.6 Appurtenances—Subsection C4
2.7 Instrumentation, Controls, and Interlocks—
Subsection C5
2.8 Inspection—Subsection C6
2.9 Repairs, Alterations, and Maintenance—
Subsection C7
2.10 Control of Internal Chemical Conditions—
Subsection C8
2.11 Preventing Boiler Failures—Subsection C9
2.12 Final Notes
2.13 References
PART 2: SECTION II OF B&PV CODE
CHAPTER 3 PART 2, Section II—Materials and
Specifications
Elmar Upitis, Richard A. Moen, Marvin L. Carpenter,
John F. Grubb, Richard C. Sutherlin, Jeffrey Henry,
C.W. Rowley and Anne Chaudouet
3.1 History of Materials in the ASME Boiler and
Pressure Vessel Code
3.2 Basis for Acceptance of Materials for Code
Construction— Section II, Part A: Ferrous
Material Specifications
3.3 Basis for Acceptance of Materials for Code
Construction—Section II, Part B: Nonferrous
Material Specifications
3.4 Section II, Part C: Specification for Welding
Rods, Electrodes, and Filler Metals
3.5 Basis for Acceptance of Materials for Code
Construction—Section II, Part D: Properties
3.6 Non-metallic Material Used in Structural
Applications
3.7 Basis for Acceptance of Material for Code
Construction—Section II, International
Material Specifications
PART 3: SECTION III—RULES FOR CONTRUCTION
OF NUCLEAR POWER PLANT COMPONENTS
SECTION III DIVISION 1
CHAPTER 4 A Commentary for Understanding and
Applying the Principles of the ASME Boiler and
Pressure Vessel Code
Roger F. Reedy
4.1 Introduction
4.2 Design Factors Used in the ASME Code
4.3 Design Specifications and Design Reports
4.4 Section III Versus Section VIII
4.5 Design Life and Commutative-Usage Factors
4.6 Service-Level Loadings
4.7 Seismic Evaluations
4.8 Engineers, Design, and Computers
4.9 Containment Vessels
4.10 Tolerances, Significant Figures, and Nominal
Dimensions
4.11 Corrosion and Erosion
4.12 Forming Operations
4.13 Post–Weld Heat Treatment
4.14 Nondestructive Examination
4.15 Hydrostatic Test
4.16 Quality Assurance
4.17 Design Loadings and Stresses Compared to
Actual Conditions
4.18 Post-Construction Postulated Loadings and
Stresses
4.19 Maintenance of Design Margins
4.20 Thermal Relief Devices
4.21 Code Cases
4.22 ASME Interpretations
4.23 Code Simplification
4.24 Future Considerations for Cyclic Service
4.25 New ASME Code–2007 Edition of Section VIII,
Division 2
4.26 Summary
4.27 References
CHAPTER 5 Subsection NCA—General
Requirements for Division 1 and Division 2
Richard W. Swayne
5.1 Introduction
5.2 Article NCA-1000 Scope of Section III
5.3 Article NCA-2000 Classification of Components
and Supports
5.4 Article NCA-3000 Responsibilities and Duties
5.5 Article NCA-4000 Quality Assurance
5.6 Article NCA-5000 Authorized Inspection
5.7 Article NCA-8000 Certificates, Nameplates,
Code Symbol Stamping, and Data Reports
5.8 Article NCA-9000 Glossary
CHAPTER 6 Subsection NB—Class 1 Components
David P. Jones and Chakrapani Basavaraju
6.1 Introduction
6.2 Design
6.3 Analysis
6.4 Primary Stress Limits
6.5 Primary-Plus-Secondary Stress Limits
6.6 Fatigue
6.7 Special Procedures
6.8 Elastic-Plastic FEA
6.9 References
6.10 Summary of Changes
CHAPTER 7 Section III: Subsections NC and
ND—Class 2 and 3 Components
Chakrapani Basavaraju and Marcus N. Bressler
7.0 Introduction to Chapter 7.0
7.1 Articles NC-1000 and ND-1000
7.2 Articles NC-2000 and ND-2000, Material
7.3 Articles NC-3000 and ND-3000 (Design)
7.4 Articles NC-4000 and ND-4000 (Fabrication
and Installation)
7.5 Articles NC-5000 and ND-5000 (Examination)
7.6 Articles NC-6000 and ND-6000 (Testing)
7.7 Articles NC-7000 and ND-7000 (Overpressure
Protection)
7.8 Articles NC-8000 and ND-8000 (Nameplate,
Stamping, and Reports)
7.9 Summary of Changes
7.10 Summary of Changes
7.11 References
CHAPTER 8 Subsection NB, NC, ND-3600 Piping
Jack R. Cole and Donald F. Landers
8.1 Background
8.2 Nuclear Class 1, NB-3600
8.3 Nuclear Class 2 and 3 NC/ND-3600
8.4 Design Process
8.5 Design Specification Discussion
8.6 References
CHAPTER 9 Subsection NE—Class MC
Components
Roger F. Reddy
9.1 Introduction
9.2 Scope of Subsection NE
9.3 Boundaries of Jurisdiction of Subsection NE
9.4 General Material Requirements
9.5 Certified Material Test Reports
9.6 Material Toughness Requirements
9.7 General Design Requirements
9.8 Qualifications of Professional Engineers
9.9 Owner’s Design Specifications
9.10 Certified Design Report
9.11 Design by Analysis
9.12 Appendix F
9.13 Fatigue Analysis
9.14 Buckling
9.15 Reinforcement of Cone-to-Cylinder
Junction
9.16 Plastic Analysis
9.17 Design by Formula
9.18 Openings
9.19 Bolted Flange Connections
9.20 Welded Connections
9.21 General Fabrication Requirements
9.22 Tolerances
9.23 Requirements for Weld Joints
9.24 Welding Qualifications
9.25 Rules for Marking, Examining,
and Repairing Welds
9.26 Heat Treatment
9.27 Examination
9.28 Qualifications and Certification of NDE Personnel
9.29 Testing
9.30 Overpressure Protection
9.31 Nameplates, Stamping, and Reports
9.32 Recommendations
9.33 References
9.34 Summary of Changes
CHAPTER 10 Subsection NF—Supports
Uma S. Bandyopadhyay
10.1 Executive Summary
10.2 NF-1000 Introduction
10.3 NF-2000 Materials
10.4 NF-3000 Design
10.5 NF-4000 Fabrication and Installation
10.6 NF-5000 Examination
10.7 NF-8000 Nameplates, Stamping,
and Reports
10.8 NF Appendices
10.9 Code Cases and Interpretations
10.10 Summary of Changes
10.11 ASME B31.1 and B31.3 Supports
10.12 References
CHAPTER 11 Subsection NG—Core Support
Structures
Richard O. Vollmer
11.1 Introduction
11.2 Definition of Core Support
Structures (NG-1120)
11.3 Jurisdictional Boundaries (NG-1130)
11.4 Unique Conditions of Serivce
11.5 Materials of Construction (NG-2000)
11.6 Special Materials
11.7 Design (NG-3000)
11.8 Fabrication and Installation (NG-4000)
11.9 Examination (NG-5000)
11.10 Testing
11.11 Overpressure Protection
11.12 Nameplates/Stamping Effects (NG-8000)
11.13 Environmental Effects (NG-3124)
11.14 Special Bolting Requirements (NG-3230)
11.15 Code Cases (NCA-1140)
11.16 Interpretations for Subsection NG
11.17 Elevated Temperature Applications
11.18 Additional Considerations
11.19 Beyond the State-of-the-Art
11.20 References
11.21 Abbreviations and Nomenclature
11.22 Summary of Changes
CHAPTER 12 Subsection NH—Class 1
Components in Elevated Temperature Service
Robert I. Jetter
12.0 Introduction and Scope
12.1 Article NH-1000, Introduction
12.2 Article NH-2000, Materials
12.3 Article NH-3000, Design
12.4 Article NH-4000, Fabrication and Installation
12.5 Article NH-5000, Examination
12.6 Article NH-6000, Testing
12.7 Article NH-7000, Overpressure Protection
12.8 Other Component Classes, Components,
and Materials
12.9 Current and Emerging Issues for Nuclear
Components in Elevated Temperature Service
12.10 Future ASME Code Considerations for Nuclear
Components in Elevated Temperature Service
12.11 References
CHAPTER 13 Nuclear Pumps
Robert E. Cornman, Jr
13.1 Introduction
13.2 General Section III Requirements
13.3 Specific Pump Requirements
13.4 General Requirements for Class 1 Pumps
13.5 NC-3400 Class 2 Pumps
13.6 ND-3400 Class 3 Pumps
13.7 General Requirements for Class 2 and 3 Pumps
13.8 Changes in the 2010 Editions
13.9 References
13.10 Additional Documents of Interest
CHAPTER 14 Nuclear Valves
Guy A. Jolly
14.1 Introduction
14.2 General Section III Requirements
14.3 Specific Valve Requirements
14.4 NC-3500 and ND-3500, Class 2
and Class 3 Valves
14.5 Changes in the 2010 Edition
14.6 Other Valve Standards
14.7 References
14.8 Additional Documents of Interest
SECTION III DIVISION 2
CHAPTER 15 Code for Concrete Containments
Joseph F. Artuso, Arthur C. Eberhardt,
Clayton T. Smith, Michael F. Hessheimer
and Ola Jovall
15.1 Introduction
15.2 Future Containment Development
15.3 Background Development of Concrete
Containment Construction Code Requirements
15.4 Reinforced-Concrete Containment Behavior
15.5 Concrete Reactor Containment Design
Analysis and Related Testing
15.6 Code Design Loads
15.7 Allowable Behavior Criteria
15.8 Analytical Models and Design Procedures
15.9 Special Design Features
15.10 Current Organization of the Code
15.11 Article CC-4000: Fabrication and Construction
15.12 Article CC-5000: Construction Testing
and Examination
15.13 Article CC-6000: Structural Integrity Test of
Concrete Containments
15.14 Article CC-7000: Overpressure Protection
15.15 Article CC-8000: Nameplates, Stamping,
and Reports
15.16 Practical Nuclear Power Plant Containment
Designed to Resist Large Commercial Aircraft
Crash and Postulated Reactor Core Melt
15.17 Items Which Should Be Considered in Future
Revisions of the Code
15.18 Summary
15.19 References
SECTION III DIVISION 3
CHAPTER 16 Containments for Transportation and
Storage of Spent Nuclear Fuel and High-Level
Radioactive Material and Waste
D. Keith Morton and D.Wayne Lewis
16.1 Introduction
16.2 Historical Development
16.3 Scope of Subgroup NUPACK
16.4 Code Development
16.5 General Provisions
16.6 Specified Loading Categories
16.7 Allowable Stress
16.8 Materials, Fabrication, Installation,
Examination, and Testing
16.9 Code Text Organization
16.10 Current Activities in Division 3
16.11 Suggested Enhancements for the Future
16.12 References
16.13 Summary of Changes
SECTION III DIVISION 5
CHAPTER 17 Division 5—High Temperature Reactors
D. Keith Morton and Robert I. Jetter
17.1 Introduction
17.2 Scope
17.3 Background
17.4 Organization of Division 5
17.5 Future Expectations
17.6 Summary
17.7 References, Including Annotated
Bibliographical Notations
PART 4: HEATING BOILERS—SECTION IV & VI OF
B&PV CODE
CHAPTER 18 ASME Section IV: Rules for the
Construction of Heating Boilers
Edwin A. Nordstrom
18.1 Introduction
18.2 Part HG: General Requirements for All
Materials of Construction
18.3 Part HF: Requirements for Boilers
Constructed of Wrought Materials
18.4 Part HF, Subpart HW: Requirements for
Boilers Fabricated by Welding
18.5 Part HF, Subpart HB: Requirements for
Boilers Fabricated by Brazing
18.6 Part HC: Requirements for Boilers
Constructed of Cast Iron
18.7 Rules of Part HA: Hot Water Heating Boilers
Constructed Primarily of Cast Aluminum
18.8 Part HLW: Requirements for
Potable-Water Heaters
18.9 Considerations Likely to Be in Future
Code Editions
18.10 What Should the ASME Code Committees
and Regulators Consider, Recognizing the
Intent of the ASME B&PV Code?
18.11 References
CHAPTER 19 ASME Section VI: Recommended
Rules for the Care and Operation of
Heating Boilers
Edwin A. Nordstrom
<str
Abstract
The structure of wall pressure fluctuations beneath a turbulent boundary layer interacting with a normal shock wave is investigated through direct numerical simulation (DNS). In the zeropressure-gradient (ZPG) region upstream of the interaction pressure statistics well compare with canonical boundary layers in terms of fluctuation intensities and frequency spectra. Across the interaction zone, the r.m.s. wall pressure fluctuations attain large values (in excess of ≈ 162 dB), with an increase of about 7 dB from the upstream level. The main effect of the interaction on the frequency spectra is to enhance of the low-frequency Fourier modes, while inhibiting the high-frequency ones. Excellent collapse of frequency spectra is observed past the interaction zone when data are scaled with the local boundary layer units. In this region an extended ω−7/3 power-law behavior is observed, which is associated with the suppression of mean shear caused by the imposed adverse pressure gradient.
ترجمه ماشینی
چکیده
ساختار نوسانات فشار دیوار زیر لایه مرزی آشفته تعامل با یک موج شوک نرمال است که از طریق شبیه سازی عددی مستقیم (DNS) بررسی شده است. در صفر گرادیان فشار (ZPG) منطقه بالادست از آمار فشار تعامل خوبی با لایه مرزی متعارف از نظر شدت نوسانات و طیف فرکانس مقایسه. در سراسر منطقه تعامل، این r.m.s. نوسانات فشار دیوار رسیدن به ارزش های بزرگ (بیش از ≈ 162 دسی بل)، با افزایش حدود 7 دسی بل از سطح بالادست. اثر اصلی از تعامل در طیف فرکانس است به منظور افزایش از حالات فوریه با فرکانس پایین، در حالی که مهار آنهایی که با فرکانس بالا. فروپاشی عالی از طیف فرکانس گذشته منطقه تعامل مشاهده زمانی که داده ها با واحد لایه مرزی محلی کوچک. در این منطقه ω-7/3 رفتار قدرت قانون شده مشاهده شده است، که با سرکوب میانگین برشی ناشی از گرادیان فشار معکوس تحمیل مرتبط
مقاله SPE 71347