Hydraulic fracture mechanics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chichester u.a.
Wiley
1995
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XX, 298 S. graph. Darst. |
| ISBN: | 0471956643 |
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Record in the Search Index
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| adam_text | HYDRAULIC FRACTURE MECHANICS PETER VALKO AND MICHAEL J. ECONOMIDES TEXAS
A & M UNIVERSITY, COLLEGE STATION, USA JOHN WILEY & SONS CHICHESTER *
NEW YORK * BRISBANE * TORONTO * SINGAPORE CONTENTS PREFACE XI LIST OF
NOTATION XIII 1 HYDRAULICALLY INDUCED FRACTURES IN THE PETROLEUM AND
RELATED INDUSTRIES 1.1 1.2 1.3 1.4 1.5 1.6 1.7 FRACTURES IN WELL
STIMULATION FLUID FLOW THROUGH POROUS MEDIA 1.2.1 THE NEAR-WELL ZONE
FLOW FROM A FRACTURED WELL HYDRAULIC FRACTURE DESIGN TREATMENT EXECUTION
1.5.1 FRACTURING FLUIDS 1.5.2 PROPPANTS DATA ACQUISITION AND EVALUATION
FOR HYDRAULIC FRACTURING 1.6.1 WELL LOG MEASUREMENTS 1.6.2 CORE
MEASUREMENTS 1.6.3 WELL TESTING MECHANICS IN HYDRAULIC FRACTURING
REFERENCES 1 2 4 5 7 11 11 13 14 14 15 15 15 16 LINEAR ELASTICITY,
FRACTURE SHAPES AND INDUCED STRESSES 19 2.1 2.2 2.3 FORCE AND
DEFORMATION 2.1.1 STRESS 2.1.2 STRAIN MATERIAL PROPERTIES 2.2.1 LINEAR
ELASTIC MATERIAL 2.2.2 MATERIAL BEHAVIOR BEYOND PERFECT ELASTICITY PLANE
ELASTICITY 2.3.1 PLANE STRESS 2.3.2 STRESSES RELATIVE TO AN OBLIQUE LINE
(FORCE BALANCE I) 2.3.3 EQUILIBRIUM RELATIONS (FORCE BALANCE II) 2.3.4
PLANE STRAIN 2.3.5 BOUNDARY CONDITIONS 19 19 21 23 23 26 27 27 28 30 30
32 VI CONTENTS 2.4 PRESSURIZED CRACK 32 2.4.1 SOLUTION OF THE LINE CRACK
PROBLEM 32 2.4.2 CONSTANT PRESSURE 34 2.4.3 POLYNOMIAL PRESSURE
DISTRIBUTION 35 2.4.4 ZIPPER CRACKS 37 2.4.5 ZIPPER CRACK WITH
POLYNOMIAL PRESSURE DISTRIBUTION 40 2.5 STRESS CONCENTRATION AND STRESS
INTENSITY FACTOR 41 2.5.1 STRESS INTENSITY FACTOR, SYMMETRIC LOADING 42
2.5.2 STRESS INTENSITY FACTOR, NON-SYMMETRIC LOADING 43 2.6 FRACTURE
SHAPE IN THE PRESENCE OF FAR-FIELD STRESS. THE CONCEPT OF NET PRESSURE
43 2.7 CIRCULAR CRACK 45 2.8 VOLUME AND STRAIN ENERGY 47 2.9
COMPUTATIONAL METHODS 49 REFERENCES 50 3 STRESSES IN FORMATIONS 53 3.1
BASIC CONCEPTS 53 3.2 STRESSES AT DEPTH 55 3.3 NEAR-WELLBORE STRESSES 59
3.4 STRESS CONCENTRATIONS FOR AN ARBITRARILY ORIENTED WELL 63 3.5
VERTICAL WELL BREAKDOWN PRESSURE 65 3.6 BREAKDOWN PRESSURE FOR AN
ARBITRARILY ORIENTED WELL 66 3.7 LIMITING CASE: HORIZONTAL WELL 69 3.7.1
ARBITRARILY ORIENTED HORIZONTAL WELL 70 3.8 PERMEABILITY AND STRESS 71
3.8.1 STRESS-SENSITIVE PERMEABILITY 72 3.9 MEASUREMENT OF STRESSES 73
3.9.1 SMALL INTERVAL FRACTURE INJECTION TESTS 74 3.9.2 ACOUSTIC
MEASUREMENTS 75 3.9.3 DETERMINATION OF THE CLOSURE PRESSURE 76 3.9.4
CORE STRESS MEASUREMENTS 77 3.9.5 CRITIQUE AND APPLICABILITY OF
TECHNIQUES 79 REFERENCES 80 4 FRACTURE GEOMETRY 83 4.1 THE PERKINS AND
KERN AND KHRISTIANOVICH AND ZHELTOV GEOMETRIES 83 4.1.1 THE CONSEQUENCES
OF THE PLANE STRAIN ASSUMPTION 86 4.2 FRACTURE INITIATION VS.
PROPAGATION DIRECTION 88 4.2.1 FRACTURES IN HORIZONTAL WELLS 90 4.3
FRACTURE PROFILES IN MULTI-LAYERED FORMATIONS 92 REFERENCES 95 5
RHEOLOGY AND LAMINAR FLOW 97 5.1 BASIC CONCEPTS 97 5.1.1 MATERIAL
BEHAVIOR AND CONSTITUTIVE EQUATIONS 98 5.1.2 FORCE BALANCE 103 CONTENTS
VII 5.2 SLOT FLOW 105 5.2.1 DERIVATION OF THE BASIC RELATIONS 105 5.2.2
EQUIVALENT NEWTONIAN VISCOSITY 111 5.3 FLOW IN CIRCULAR TUBE 112 5.3.1
BASIC RELATIONS 112 5.3.2 FLOW CURVE 115 5.3.3 EQUIVALENT NEWTONIAN
VISCOSITY FOR TUBE FLOW 119 5.4 FLOW IN OTHER CROSS SECTIONS 122 5.4.1
FLOW IN ANNULUS 122 5.4.2 FLOW IN ELLIPTIC CROSS SECTION 123 5.4.3
LIMITING ELLIPSOID CROSS SECTION 124 REFERENCES 128 6 NON-LAMINAR FLOW
AND SOLIDS TRANSPORT 131 6.1 NON-LAMINAR FLOW 131 6.1.1 NEWTONIAN FLUID
131 6.1.2 GENERAL FLUID 132 6.1.3 DRAG REDUCTION 134 6.1.4 TURBULENT
FLOW IN OTHER GEOMETRIES 137 6.2 SOLIDS TRANSPORT 138 6.2.1 SETTLING OF
AN INDIVIDUAL SPHERE 139 6.2.2 EFFECT OF SHEAR RATE INDUCED BY FLOW 141
6.2.3 EFFECT OF SLURRY CONCENTRATION 142 6.2.4 WALL EFFECTS 143 6.2.5
AGGLOMERATION EFFECTS 145 REFERENCES 145 7 ADVANCED TOPICS OF RHEOLOGY
AND FLUID MECHANICS 147 7.1 FOAM RHEOLOGY 147 7.1.1 QUALITY BASED
CORRELATIONS 148 7.1.2 VOLUME EQUALIZED CONSTITUTIVE EQUATIONS 148 7.1.3
VOLUME EQUALIZED POWER LAW 151 7.1.4 TURBULENT FLOW OF FOAM 152 7.2
ACCOUNTING FOR MECHANICAL ENERGY 153 7.2.1 BASIC CONCEPTS 153 7.2.2
INCOMPRESSIBLE FLOW 154 7.2.3 FOAM FLOW 154 7.3 RHEOMETRY 156 7.3.1 PIPE
VISCOMETRY 156 7.3.2 SLIP CORRECTION 157 REFERENCES 162 MATERIAL BALANCE
165 8.1 THE CONSERVATION OF MASS AND ITS RELATION TO FRACTURE DIMENSIONS
165 8.2 FLUID LEAKOFF AND SPURT LOSS AS MATERIAL PROPERTIES 169 8.2.1
CARTER EQUATION I 169 8.2.2 FORMAL MATERIAL BALANCE. THE OPENING TIME
DISTRIBUTION FACTOR 171 VIII CONTENTS 8.3 THE CONSTANT WIDTH
APPROXIMATION (CARTER EQUATION II) 172 8.4 THE POWER LAW APPROXIMATION
TO SURFACE GROWTH 174 8.4.1 THE CONSEQUENCES OF THE POWER LAW ASSUMPTION
174 8.4.2 THE COMBINATION OF THE POWER LAW ASSUMPTION WITH INTERPOLATION
178 8.5 NUMERICAL MATERIAL BALANCE 179 8.6 DIFFERENTIAL MATERIAL BALANCE
181 8.7 LEAKOFF AS FLOW IN THE POROUS MEDIUM 183 8.7.1 FILTER-CAKE
PRESSURE DROP 184 8.7.2 PRESSURE DROP IN THE RESERVOIR 185 8.7.3 LEAKOFF
RATE FROM COMBINING THE RESISTANCES 187 (EHLIG-ECONOMIDES EF A/. [6])
REFERENCES 187 9 COUPLING OF ELASTICITY, FLOW AND MATERIAL BALANCE 189
9.1 WIDTH EQUATIONS OF THE EARLY 2D MODELS 189 9.1.1 PERKINS-KERN WIDTH
EQUATION 189 9.1.2 GEERTSMA-DE KLERK WIDTH EQUATION 192 9.1.3 RADIAL
WIDTH EQUATION 195 9.2 ALGEBRAIC (2D) MODELS AS USED IN DESIGN 196 9.2.1
PKN-C 196 9.2.2 KGD-C 199 9.2.3 PKN-N AND KGD-N 200 9.2.4 PKN-A AND
KGD-A 201 9.2.5 RADIAL MODEL 202 9.2.6 NON-NEWTONIAN BEHAVIOR 202 9.3
NUMERICAL MATERIAL BALANCE (NMB) WITH WIDTH GROWTH 204 9.4 DIFFERENTIAL
2D MODELS 205 9.4.1 NORDGREN EQUATION 206 9.4.2 DIFFERENTIAL HORIZONTAL
PLANE STRAIN MODEL 209 9.5 MODELS WITH DETAILED LEAKOFF DESCRIPTION 210
9.6 PRESSURE DECLINE ANALYSIS 211 9.6.1 NOLTE S PRESSURE DECLINE
ANALYSIS (POWER LAW ASSUMPTION) 212 9.6.2 THE NO-SPURT-LOSS ASSUMPTION
(SHLYAPOBERSKY METHOD) 217 9.6.3 MATERIAL BALANCE AND PROPAGATION
PRESSURE ESTIMATES OF THE SPURT LOSS 218 9.6.4 RESOLVING CONTRADICTIONS
227 9.6.5 PRESSURE DECLINE ANALYSIS WITH DETAILED LEAKOFF DESCRIPTION
(MAYERHOFER EF A/. TECHNIQUE) 230 REFERENCES 232 10 FRACTURE PROPAGATION
235 10.1 FRACTURE MECHANICS 237 10.1.1 GRIFFITH S ANALYSIS OF CRACK
STABILITY 238 10.1.2 MOTT S THEORY FOR THE RATE OF CRACK GROWTH 241 10.2
CLASSICAL CRACK PROPAGATION CRITERION FOR HYDRAULIC FRACTURING 242
10.2.1 FRACTURE TOUGHNESS CRITERION 242 10.2.2 THE INJECTION RATE
DEPENDENCE PARADOX 243 CONTENTS IX 10.3 RETARDED FRACTURE PROPAGATION
245 10.3.1 FLUID LAG 245 10.3.2 TIP DILATANCY 245 10.3.3 APPARENT
FRACTURE TOUGHNESS 246 10.3.4 PROCESS ZONE CONCEPT 246 10.3.5 THE
REOPENING PARADOX 247 10.4 CONTINUUM DAMAGE MECHANICS IN HYDRAULIC
FRACTURING 247 10.4.1 TIP PROPAGATION VELOCITY FROM CDM 247 10.4.2
CDM-NK MODEL 249 10.4.3 CDM-PKN DESIGN MODEL 252 10.5 PRESSURE DECLINE
ANALYSIS AND TIP RETARDATION 256 10.5.1 RESOLVING CONTRADICTIONS WITH
CONTINUUM DAMAGE MECHANICS 258 REFERENCES 263 11 FRACTURE HEIGHT GROWTH
(3D AND P-3D GEOMETRIES) 267 11.1 EQUILIBRIUM FRACTURE HEIGHT 269 11.1.1
REVERSE APPLICATION OF THE NET-PRESSURE CONCEPT 269 11.1.2 DIFFERENT
SYSTEMS OF NOTATION 270 11.1.3 BASIC EQUATIONS 272 11.1.4 THE EFFECT OF
HYDROSTATIC PRESSURE 276 11.2 THREE-DIMENSIONAL MODELS 278 11.2.1
SURFACE INTEGRAL METHOD 279 11.2.2 THE STRESS INTENSITY FACTOR PARADOX
281 11.3 PSEUDO-THREE-DIMENSIONAL MODELS 283 REFERENCES 284 APPENDIX:
COMPARISON STUDY OF HYDRAULIC FRACTURING MODELS: INPUT DATA AND RESULTS
287 REFERENCES 294 INDEX 295
|
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| id | DE-604.BV010531522 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:54:36Z |
| institution | BVB |
| isbn | 0471956643 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007020209 |
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| publishDate | 1995 |
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| publisher | Wiley |
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| spelling | Valkó, Peter Verfasser aut Hydraulic fracture mechanics Peter Valkó and Michael J. Economides Chichester u.a. Wiley 1995 XX, 298 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Resistencia dos materiais larpcal Mathematik Oil wells Hydraulic fracturing Mathematics Rohrströmung (DE-588)4050412-8 gnd rswk-swf Erdöltransport (DE-588)4152703-3 gnd rswk-swf Bruchmechanik (DE-588)4112837-0 gnd rswk-swf Rohrleitung (DE-588)4050405-0 gnd rswk-swf Erdöltransport (DE-588)4152703-3 s Rohrleitung (DE-588)4050405-0 s Bruchmechanik (DE-588)4112837-0 s DE-604 Rohrströmung (DE-588)4050412-8 s Economides, Michael J. Verfasser aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007020209&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Valkó, Peter Economides, Michael J. Hydraulic fracture mechanics Resistencia dos materiais larpcal Mathematik Oil wells Hydraulic fracturing Mathematics Rohrströmung (DE-588)4050412-8 gnd Erdöltransport (DE-588)4152703-3 gnd Bruchmechanik (DE-588)4112837-0 gnd Rohrleitung (DE-588)4050405-0 gnd |
| subject_GND | (DE-588)4050412-8 (DE-588)4152703-3 (DE-588)4112837-0 (DE-588)4050405-0 |
| title | Hydraulic fracture mechanics |
| title_auth | Hydraulic fracture mechanics |
| title_exact_search | Hydraulic fracture mechanics |
| title_full | Hydraulic fracture mechanics Peter Valkó and Michael J. Economides |
| title_fullStr | Hydraulic fracture mechanics Peter Valkó and Michael J. Economides |
| title_full_unstemmed | Hydraulic fracture mechanics Peter Valkó and Michael J. Economides |
| title_short | Hydraulic fracture mechanics |
| title_sort | hydraulic fracture mechanics |
| topic | Resistencia dos materiais larpcal Mathematik Oil wells Hydraulic fracturing Mathematics Rohrströmung (DE-588)4050412-8 gnd Erdöltransport (DE-588)4152703-3 gnd Bruchmechanik (DE-588)4112837-0 gnd Rohrleitung (DE-588)4050405-0 gnd |
| topic_facet | Resistencia dos materiais Mathematik Oil wells Hydraulic fracturing Mathematics Rohrströmung Erdöltransport Bruchmechanik Rohrleitung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007020209&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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