Seismological algorithms: computational methods and computer programs
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
London [u.a.]
Acad. Press
1988
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVII, 469 S. graph. Darst. |
| ISBN: | 012220770X |
Staff View
MARC
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| 245 | 1 | 0 | |a Seismological algorithms |b computational methods and computer programs |c ed. by Durk J. Doornbos |
| 264 | 1 | |a London [u.a.] |b Acad. Press |c 1988 | |
| 300 | |a XVII, 469 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 650 | 7 | |a Sismologie - Mathématiques |2 ram | |
| 650 | 7 | |a Sismologie - Systèmes d'ordinateur - Algorithmes |2 ram | |
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Seismology |x Data processing | |
| 700 | 1 | |a Doornbos, Durk J. |d 1943-1993 |e Sonstige |0 (DE-588)120733005 |4 oth | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Contributors v
Preface vii
Introduction xv
I RAYS AND BODY WAVES IN ONE DIMENSIONAL MEDIA
1.1 Spectral Synthesis of Body Waves in Earth Models Specified by
Vertically Varying Layers 3
VERNON F. CORMIER and PAUL G. RICHARDS
1 Introduction 3
2 Example body wave problem 5
3 Synthesis of seismograms 15
4 Extensions and special applications 31
5 Conclusions 41
Acknowledgements 43
References 43
1.2 The WKBJ Seismogram Algorithm 47
C. H. CHAPMAN, CHU JEN YI and D. G. LYNESS
1 Introduction 47
2 WKBJ seismogram theory 49
3 Description of subroutines 57
4 Conclusions 69
Acknowledgements 69
Appendix: WKBJ seismograms with attenuation 69
References 73
x Contents
1.3 Asphericity and Ellipticity Corrections 75
D. J. DOORNBOS
1 Introduction 75
2 Velocity models 76
3 Ray tracing algorithm 77
4 Spherical harmonics in rotated coordinates 79
5 Ellipticity corrections 81
6 A test case: the core mantle boundary 82
References 85
II RAYS AND BODY WAVES IN THREE DIMENSIONAL
MEDIA
11.1 Complete Seismic Ray Tracing in Three Dimensional Structures 89
V. CERVENY, L. KLIMES and I. PSENCIK
1 Introduction 89
2 Coordinate system 92
3 Model of the medium 94
4 Codes for elementary waves 105
5 Complete ray tracing 106
6 Initial points of rays 140
7 Applications and processing of the results of complete ray tracing 143
References 167
11.2 Numerical Methods for Tracing Rays and Wavefronts 169
ANDRZEJ HANYGA
1 Basic assumptions and methods 169
2 Initial value ray tracing 176
3 Two point ray tracing 180
4 Dynamic ray tracing 195
5 Computation of body wave pulses 213
Acknowledgements 217
Appendices 218
References 231
III REFLECTIVITY METHODS FOR STRATIFIED MEDIA
III.l Systematic Approximations to the Seismic Wavefield 237
B. L. N. KENNETT
1 Introduction 237
2 Reflection and transmission of seismic waves 239
Contents xi
3 Response of a medium to a source 243
4 Split stratification 244
5 The construction of approximations to the response 247
6 Examples of approximations 252
Appendix: Recursive approach for a stack of uniform layers 256
References 258
111.2 Hybrid Methods in Reflectivity Calculations 261
URI ASCHER
1 Introduction 261
2 Methods for solving two point problems 264
3 A hybrid method 271
4 An example 273
References 276
111.3 Quadrature of Wavenumber Integrals 279
L. NEIL FRAZER
1 Introduction 279
2 Trapezoidal Filon 280
3 Alternative methods 286
Acknowledgements 288
References 288
IV MODE METHODS FOR STRATIFIED MEDIA
IV.l DisperSO: A Subroutine Package for the Calculation of Seismic
Normal Mode Solutions 293
MASANORI SAITO
1 Introduction 293
2 Transversely isotropic Earth model 293
3 Methods of integration and specification of the model 294
4 Torsional oscillations 296
5 Spheroidal oscillations of a non gravitating Earth 300
6 Spheroidal oscillations of a self gravitating Earth 307
7 Love waves and Rayleigh waves 317
Acknowledgements 319
References 319
IV.2 The Calculation of Eigenfrequencies and Eigenfunctions of the
Free Oscillations of the Earth and the Sun 321
J. H. WOODHOUSE
1 Introduction 321
2 The algebra of minors 326
xii Contents
3 Linear transformations of vector subspaces 337
4 Linear systems of ordinary differential equations 343
5 The differential equations governing the Earth s free oscillations 354
6 Description of program 367
Acknowledgements 370
References 370
IV.3 Variational Methods 371
RAY BULAND
1 Rayleigh s Principle 371
2 The Rayleigh Ritz algorithm 372
3 Natural basis functions 377
4 Finite element basis functions 381
5 Frequency dependent problems 393
6 Instabilities 394
7 Natural basis functions revisited 395
8 Comparison with other methods 395
9 Closing remarks 398
References 398
V UTILITY ALGORITHMS AND SOURCES
V.I Vector and Matrix Manipulation Algorithms 403
GARY L. PAVLIS
1 Introduction 403
2 Basic vector operations 404
3 Manipulation of non sparse matrices 407
4 Sparse matrix inversion algorithms 420
Acknowledgements 424
References 424
V.2 Radiation from a Moment Tensor Source 427
B. L. N. KENNETT
1 Introduction 427
2 Point sources 428
3 Body wave radiation patterns 431
4 Surface wave radiation patterns 437
Appendix: Principal values of the moment tensor 439
References 440
Contents xiii
Y.3 Single and Joint Fault Plane Solutions from First Motion Data 443
A. UDIAS and E. BUFORN
1 Introduction 443
2 Geometry of the problem 443
3 Probability model and likelihood function 445
4 Joint solutions 449
5 Computer programs 452
Acknowledgements 453
References 453
Program Index 455
Subject Index 463
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| indexdate | 2024-07-09T15:40:24Z |
| institution | BVB |
| isbn | 012220770X |
| language | English |
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| physical | XVII, 469 S. graph. Darst. |
| publishDate | 1988 |
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| publisher | Acad. Press |
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| spelling | Seismological algorithms computational methods and computer programs ed. by Durk J. Doornbos London [u.a.] Acad. Press 1988 XVII, 469 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Sismologie - Mathématiques ram Sismologie - Systèmes d'ordinateur - Algorithmes ram Datenverarbeitung Seismology Data processing Doornbos, Durk J. 1943-1993 Sonstige (DE-588)120733005 oth HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001379052&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Seismological algorithms computational methods and computer programs Sismologie - Mathématiques ram Sismologie - Systèmes d'ordinateur - Algorithmes ram Datenverarbeitung Seismology Data processing |
| title | Seismological algorithms computational methods and computer programs |
| title_auth | Seismological algorithms computational methods and computer programs |
| title_exact_search | Seismological algorithms computational methods and computer programs |
| title_full | Seismological algorithms computational methods and computer programs ed. by Durk J. Doornbos |
| title_fullStr | Seismological algorithms computational methods and computer programs ed. by Durk J. Doornbos |
| title_full_unstemmed | Seismological algorithms computational methods and computer programs ed. by Durk J. Doornbos |
| title_short | Seismological algorithms |
| title_sort | seismological algorithms computational methods and computer programs |
| title_sub | computational methods and computer programs |
| topic | Sismologie - Mathématiques ram Sismologie - Systèmes d'ordinateur - Algorithmes ram Datenverarbeitung Seismology Data processing |
| topic_facet | Sismologie - Mathématiques Sismologie - Systèmes d'ordinateur - Algorithmes Datenverarbeitung Seismology Data processing |
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