The flow of homogeneous fluids through porous media:
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| Main Author: | |
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| Format: | Book |
| Language: | English |
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Boston
Internat. Human Resources Development Corp.
1982
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIX, 763 S. |
| ISBN: | 0934634165 |
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MARC
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| 245 | 1 | 0 | |a The flow of homogeneous fluids through porous media |
| 264 | 1 | |a Boston |b Internat. Human Resources Development Corp. |c 1982 | |
| 300 | |a XIX, 763 S. | ||
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| 650 | 7 | |a Gaz - Écoulement |2 ram | |
| 650 | 7 | |a Pétrole |2 ram | |
| 650 | 7 | |a dynamique fluide |2 inriac | |
| 650 | 7 | |a milieu poreux |2 inriac | |
| 650 | 7 | |a écoulement homogène |2 inriac | |
| 650 | 4 | |a Fluids | |
| 650 | 4 | |a Gas flow | |
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| adam_text | CONTENTS
Page
Preface............................vii
PART I. FOUNDATIONS
CHAPTER I
Introduction......................... 1
1.1. Scope of Subject................... 3
1.2. Homogeneous Fluids................. 4
1.3. Porous Media.................... 6
1.4. General Qualifications Governing the Analytical Theory. . 8
1.5. The Nature of Porous Media.............. 10
1.6. Systematic Packing of Spheres............. 10
1.7. The Packing.of Natural Materials........... 13
1.8. Compaction of Sand and Gravel............ 14
1.9. Compaction in Clay................... 16
1.10. Effect of Compaction and Alteration of Sediments on
Permeability.................... 17
1.11. Kinds of Rock and Their Fluid-bearing Properties .... 17
1.12. Structure of Rocks in Relation to Underground Fluids . . 22
1.13. Subsurface Fluids—Their Occurrence and Migratory
Behavior..................... 26
1.14. Occurrence of Ground Water.............. 28
1.15. Water Content of Unconsolidated Surface Sediments ... 30
1.16. Fluid Movements in the Capillary Zone......... 30
1.17. Fluid Movements below the Water Table. The Surface
Zone....................... 34
1.18. Fluid Movements below the Water Table. The Deep Zones 38
1.19. The Occurrence of Connate Waters........... 40
1.20. The Migration of Connate Waters........... 43
1.21. The Influence of Compaction of Sediments on Migration of
Fluids....................... 44
1.22. The Occurrence of Gas and Oil............ 47
1.23. The Source of Petroleum—Gas and Oil......... 48
1.24. The Migration and Accumulation of Gas and Oil..... 50
CHAPTER II
Dabct s Law and the Measurement of the Permeability of
Porous Media....................... 55
2.1. Darcy s Law..................... 55
2.2. The Range of Validity of Darcy s Law......... 56
xiii
xiv CONTENTS
P*UK
2.3. The Constant in Darcy s Law. The Permeability of a
Porous Medium.................. 69
2.4. Permeability Units and Nomenclature.......... 74
2.5. The Principle of the Method of Measurement and of the
Calculation of the Permeability of Porous Media.... 76
2.6. The Measurement of the Permeability of Unconsolidated
Sands....................... 79
2.7. The General Technique for Permeability Determinations of
Consolidated Porous Media............. 85
2.8. Further Details for Permeability Measurements with
Liquids...................... 89
2.9. Further Details for Permeability Measurements with Gases 91
2.10. Gases versus Liquids for Permeability Measurements ... 91
2.11. Permeability Measurements in the Field......... 93
2.12. Typical Permeability Values.............. 101
2.13. Porosity Measurements................ 113
CHAPTER III
General Hydrodynamical Equations for the Flow of Fluids
through Porous Media................... 121
3.1. Fundamental Hydrodynamic Relations......... 121
3.2. The Classical Hydrodynamics............. 125
3.3. Generalized Form of Darcy s Law............ 127
3.4. The Equations of Motion............... 131
3.5. Boundary and Initial Conditions............ 136
3.6. Analogies with Other Physical Problems......... 139
3.7. Other Coordinate Systems............... 141
3.8. Summary...................... 143
PART II. STEADY-STATE FLOW OF LIQUIDS
CHAPTER IV
TWO-DIMENSIONAL FLOW PROBLEMS AND POTENTIAL-THEORY METHODS 149
4.1. Introduction..................... 149
4.2. The Radial Flow into a Well.............. 150
4.3. Fourier Series.................... 156
4.4. Unsymmetrical Flow into a Well............ 163
4.5. Arbitrary Pressure Distributions over the Boundaries. . . 163
4.6. The Flow between Nonconcentric Circular Boundaries.
Green s Function..................169
4.7. The Flow from an Infinite Line Source into a Well. The
Line Drive. The Method of Images.........175
4.8. The Flow from a Finite Line Source into an Infinite Sand.
The Method of Conjugate Functions.......... 181
4.9. The Flow from a Finite Line Source into a Well. Conjugate-
function Transformations. Infinite Sets of Images . . . 186
CONTENTS xv
Pac.e
4.10. The Uplift Pressure on a Dam of Extended Base Width.
No Sheet Piling..................192
4.11. The Uplift Pressure on a Dam with Sheet Piling Present.
The Schwarz Christoffel Theorem...........195
4.12. The Seepage Flux under Dams of Extended Base Width.
No Sheet Piling. Elliptic-function Transformations . . 208
4.13. The Seepage Flux under Dams of Extended Base Width;
Sheet Piling Present.................215
4.14. The Seepage Flux underneath Coffer Dams.......221
4.15. Anisotropic Media..................225
4.16. General Potential-theory Results. Green s Reciprocation
Theorem......................227
4.17. Approximate and Nonanalytic Methods of Solving Two-
dimensional Flow Problems.............234
4.18. Summary......................244
CHAPTER V
Three-dimensional Problems................. 258
5.1. Introduction..................... 258
5.2. Spherical Flow.................... 259
5.3. Partially Penetrating Wells. Potential Distributions . . 263
5.4. The Production Capacities of Partially Penetrating Wells . 271
5.5. Partially Penetrating Wells in Anisotropic Sands..... 277
5.6. Summary...................... 281
CHAPTER VI
Gravity-plow Systems.....................287
6.1. Introduction.....................287
6.2. The Drainage of a Sloping Sand. The Problem of Hopf
and Trefftz....................292
6.3. The Treatment of Two-dimensional Gravity-flow Systems
by the Method of Hodographs. The Mapping of the
Boundaries.....................300
6.4. The Seepage through a Dam with Vertical Faces; Analytical
Theory......................303
6.5. Numerical Applications................309
fi.6. The Study of Gravity-flow Systems by Means of Electrical
Models......................318
6.7. Some Exact Solutions of Laplace s Equation Appropriate to
Gravity-flow Systems................323
6.8. The Seepage of Water from Canals or Ditches into Sands
with Deep-lying Water Tables............331
6.9. The Seepage of Water from Canals or Ditches into Sands
Underlain by Highly Permeable Gravel Beds at Shallow
Depths......................336
6.10. An Approximate Theory of the Seepage of Water through
Dams with Sloping Faces..............338
xvi CONTENTS
Page
6.11. Seepage Streams from Canals and Ditches Which Merge
with Shallow Water Tables.............346
6.12. The Approximate Treatment of Some Irrigation and Drain-
age Problems.................... 353
6.13. Subirrigation..................... 354
6.14. The Problem of Water Logging............. 355
6.15. The Erosion Problem................. 355
6.16. Tile Drainage.................... 356
6.17. The Dupuit-Forchheimer Theory of Gravity-flow Systems. 359
6.18. Sand-model Experiments with Three-dimensional Gravity-
flow Systems....................365
6.19. Composite Pressure-head and Gravity-flow Systems. . . . 375
6.20. An Approximate Potential Theory of the Flux through
Gravity-flow Systems................377
6.21. Summary......................385
CHAPTER VII
Systems of Noxuniform Permeability..............400
7.1. Introduction. Surfaces of Discontinuity........400
7.2. Continuous Variations in the Permeability........401
7.3. Discontinuous Radial Variations in the Permeability . . . 403
7.4. Adjacent Beds of Different Permeability. Fluid Flow in
Fractured Limestones................409
7.5. Bounded Limestone—Fracture Systems.........417
7.6. The Theory of the Acid Treatment of Limestone Wells . . 420
7.7. The Effect of Acid Treatment in. Radial Systems.....422
7.8. The Effect of Acid Treatment in Highly Fractured Lime-
stones.......................425
7.9. Partially Penetrating Wells in Stratified Horizons.....429
7.10. The Effect of a Sanded Liner on the Production Capacity
of a Well.....................439
7.11. Summary......................447
CHAPTER VIII
Two-fluid Systems.......................453
8.1. Introduction.....................453
8.2. Edge-water Encroachment. General Nature and Formula-
tion of the Problem.................453
8.3. Linear Encroachment.................459
8.4. Two-dimensional Radial Encroachment.........462
8.5. The History of a Line of Fluid Particles in a Homogeneous
System......................466
8.6. The Line Drive into a Single Well...........468
8.7. The Direct Drive between Two Wells..........472
8.8. The Effect of Gravity on the Shape of the Encroaching
Interface.....................476
8.9. The Effect of the Differences in Viscosity between the
Fluids on the Two Sides of the Interface........478
CONTENTS xvii
8.10. Water Coning; Physical Basis of the Theory....... 480
8.11. Analytical Development................ 487
8.12. The Suppression of Water Coning by Shale Lenses .... 496
8.13. Summary...................... 499
CHAPTER IX
Multiple-well Systems....................507
9.1. Introduction.....................507
9.2. Small Groups of Wells. General Theory........509
9.3. Examples......................511
9.4. The Dependence of the Production Capacity on the Number
of Wells in the Group................518
9.5. The Pressure Distribution over the External Boundary . . 520
9.6. Small Groups of Wells Supplied by an Infinite Line Drive. 521
9.7. Infinite Sets of WTells in Linear Arrays..........523
9.8. The Pressure Distribution about an Infinite Array of Wells.
The Line Drive...................524
9.9. Two-line Arrays. Shielding Effects..........530
9.10. Three-line Arrays...................540
9.11. Staggered Wells in Line Arrays.............545
9.12. The Theory of Offsetting. Statement of the Problem. . . 540
9.13. Single-line Offsetting.................54S
9.14. Multiple-line Offsetting................552
9.15. Numerical Example..................556
9.16. The Problem of Water Flooding............560
9.17. The Progress of the Water-oil Interface—Electrolytic-
model Experiments.................561
9.18. Model Experiments with Line Floods..........565
9.19. Experiments Corresponding to Artificial Flooding Opera-
tions .......................568
9.20. Effect of Barriers in the Flooding System........572
9.21. Conduction-sheet Models and Potential Distributions. . . 573
9.22. Analytical Calculations of the Conductivities of Flooding
Network. General Method.............580
9.23. The Conductivity of the Direct Line-drive Flood.....582
9.24. The Conductivity of the Five-spot Flood........585
9.25. The Conductivity of the Seven-spot Flood........587
9.26. The Conductivity of the Staggered Line Drive......592
9.27. The Calculation of Flooding Efficiencies.........593
9.28. The Efficiency of the Direct Line-drive Flood......594
9.29. The Five-spot-flood Efficiency.............596
9.30. The Efficiency of the Seven-spot Flood.........597
9.31. The Efficiency of the Staggered Line-drive Flood.....598
9.32. General Observations on Flooding Networks.......599
9.33. Comparison of the Flooding Networks..........600
9.34. Summarv......................606
xviii CONTENTS
PART III. THE NONSTEADY-STATE FLOW OF LIQUIDS
Pack
CHAPTER X
The Flow of Compressible Liquids through Porous Media . . . 621
10.1. Introduction.....................621
10.2. Radial Flow Systems. Some Preliminary Analytical
Formulas.....................630
10.3. Radial Systems in Which the Density Is Specified over
Both Boundaries..................632
10.4. Production Decline in a Field Produced by a Water Drive
with Variable Field Pressures............. 635
10.5. The Limiting Case of Vanishing Internal Radius..... 639
10.6. The Rise of the Bottom-hole Pressures in Closed-in Wells . 640
10.7. Radial Systems in Which the Density Is Specified over One
Boundary and the Flux over the Other........642
10.8. The Pressure Decline in the East Texas Oil Field . . . 644
10.9. A Single Well in a Closed Reservoir...........653
10.10. A Well of Infinitesimal Radius.............654
10.11. Radial Systems in Which the Flux Is Specified over Both
Boundaries.....................655
10.12. The Limiting Case of Vanishing Internal Radius.....656
10.13. A. Well in a Closed Sand................657
10.14. Nonradial Flow. Well Interference. Green s Function. . 661
10.15. The Use of Sources and Sinks in the Solution of Problems
Involving the Nonsteady-state Flow of Compressible
Liquids through Porous Media............666
10.16. Summary......................669
PART IV. THE FLOW OF GASES THROUGH POROUS
MEDIA
CHAPTER XI
The Flow of Gases through Porous Media...........679
11.1. Introduction.....................679
11.2. The Steady-state Flow of Gases. Linear Systems .... 680
11.3. Two-dimensional Systems in the Steady State......681
11.4. Three-dimensional Systems in the Steady State......683
11.5. The Effect of Gravity on the Flow of Gases through Porous
Media.......................684
11.6. The Steady-state Flow of Gases within Systems of Non-
uniform Permeability................685
11.7. Two-fluid Systems. Water Coning...........68ti
11.8. Gas-oil Ratios in Porous Media Carrying Gas and Oil as
Homogeneous Fluids................687
11.9. Gas-oil Ratios for Communicating Gas and Oil Zones. . . 689
CONTENTS xix
Page
11.10. Gas-oil Ratios for Non Communicating Gas and Oil Sands. 692
11.11. The Effect of the Tubing on the Gas-oil Ratio......696
11.12. Gas Coning in Tubed Wells..............701
11.13. Multiple-well Systems.................704
11.14. The Nonsteady-state Flow of Gases through Porous Media 704
11.15. A Closed Gas Reservoir Drained by a Well Producing at
Constant Pressure.................708
11.16. A Closed Gas Reservoir Drained by a Well Producing at a
Uniform Rate...................712
11.17. Summary......................714
APPENDICES
I. Conversion Factors....................723
II. Laplace s Equation in Curvilinear Coordinates......725
III. Some Two-dimensional Green s Functions.........727
IV. The Transformation Properties of the Modular Elliptic
Function B(q) = k*1...................729
V. Proof of the Generalized Poisson Formula. Ecj. 6.4(15) . . 732
VI. Tabulation of the Specific Quantitative Results Developed
in This Work in Formula or Graphical Form.......733
Author Index.........................751
Subject Index.........................755
|
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| genre_facet | Homogene Flüssigkeit |
| id | DE-604.BV009072417 |
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| indexdate | 2024-07-09T17:30:31Z |
| institution | BVB |
| isbn | 0934634165 |
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| publisher | Internat. Human Resources Development Corp. |
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| spelling | Muskat, Morris Verfasser aut The flow of homogeneous fluids through porous media Boston Internat. Human Resources Development Corp. 1982 XIX, 763 S. txt rdacontent n rdamedia nc rdacarrier Fluides ram Gaz - Écoulement ram Pétrole ram dynamique fluide inriac milieu poreux inriac écoulement homogène inriac Fluids Gas flow Petroleum Poröser Stoff (DE-588)4046811-2 gnd rswk-swf Strömung (DE-588)4058076-3 gnd rswk-swf Homogene Flüssigkeit gnd rswk-swf Homogene Flüssigkeit f Strömung (DE-588)4058076-3 s Poröser Stoff (DE-588)4046811-2 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006010045&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Muskat, Morris The flow of homogeneous fluids through porous media Fluides ram Gaz - Écoulement ram Pétrole ram dynamique fluide inriac milieu poreux inriac écoulement homogène inriac Fluids Gas flow Petroleum Poröser Stoff (DE-588)4046811-2 gnd Strömung (DE-588)4058076-3 gnd |
| subject_GND | (DE-588)4046811-2 (DE-588)4058076-3 |
| title | The flow of homogeneous fluids through porous media |
| title_auth | The flow of homogeneous fluids through porous media |
| title_exact_search | The flow of homogeneous fluids through porous media |
| title_full | The flow of homogeneous fluids through porous media |
| title_fullStr | The flow of homogeneous fluids through porous media |
| title_full_unstemmed | The flow of homogeneous fluids through porous media |
| title_short | The flow of homogeneous fluids through porous media |
| title_sort | the flow of homogeneous fluids through porous media |
| topic | Fluides ram Gaz - Écoulement ram Pétrole ram dynamique fluide inriac milieu poreux inriac écoulement homogène inriac Fluids Gas flow Petroleum Poröser Stoff (DE-588)4046811-2 gnd Strömung (DE-588)4058076-3 gnd |
| topic_facet | Fluides Gaz - Écoulement Pétrole dynamique fluide milieu poreux écoulement homogène Fluids Gas flow Petroleum Poröser Stoff Strömung Homogene Flüssigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006010045&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT muskatmorris theflowofhomogeneousfluidsthroughporousmedia |