The boundary element method in geophysics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English Chinese |
| Veröffentlicht: |
Tulsa, OK
Soc. of Exploration Geophysicists
2001
|
| Schriftenreihe: | Geophysical monograph series
9 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus dem. Chines. übers. |
| Beschreibung: | XIV, 217 S. graph. Darst. |
| ISBN: | 1560801050 |
Internformat
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Datensatz im Suchindex
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GEOPHYSICAL MONOGRAPH SERIES DAVID V. FITTERMAN, SERIES EDITOR DAVID L.
ALUMBAUGH, VOLUME EDITOR NUMBER 9 THE BOUNDARY ELEMENT METHOD IN
GEOPHYSICS BY SHI-ZHE XU SUB GOTTINGEN 214 933 296 2002/^20796 SOCIETY
OF EXPLORATION GEOPHYSICISTS CONTENTS FOREWORD VII PREFACE IX LIST OF
PRINCIPAL SYMBOLS XIII 1 BASIC MATHEMATICAL PREPARATION 1 1.1 THE 8
FUNCTION 1 1.1.1 THE 1-D 8 FUNCTION 1 1.1.2 THE 2-D 8 FUNCTION 4 1.1.3
THE 3-D 8 FUNCTION 6 1.2 FUNDAMENTAL SOLUTIONS 8 1.2.1 DEFINITION 8
1.2.2 3-D LAPLACE EQUATION 9 1.2.3 2-D LAPLACE EQUATION 12 1.2.4 3-D
HELMHOLTZ EQUATION 13 1.2.5 2-D HELMHOLTZ EQUATION 16 1.3 GREEN'S
FORMULA 18 2 ISOPARAMETRIC ELEMENTS AND GAUSSIAN INTEGRATION 21 2.1
ISOPARAMETRIC ELEMENTS 21 2.1.1 1-D ELEMENTS 21 2.1.2 2-D ELEMENTS 27
2.2 GAUSSIAN QUADRATURE INTEGRATION 34 2.2.1 1-D GAUSSIAN QUADRATURE
INTEGRATION 34 2.2.2 GAUSSIAN QUADRATURE INTEGRATION OVER A TRIANGULAR
ELEMENT 36 3 POTENTIAL FIELD CONTINUATION AND TRANSFORMATION 39 3.1 THE
BOUNDARY VALUE PROBLEM 40 3.2 THE 2-D POTENTIAL FIELD 42 3.2.1 UPWARD
CONTINUATION FROM A 2-D TOPOGRAPHIC SURFACE 42 3.2.2 DOWNWARD
CONTINUATION FROM A 2-D TOPOGRAPHIC SURFACE 56 3.2.3 TRANSFORMATION
ALONG A 2-D TOPOGRAPHIC SURFACE 59 3.2.4 CALCULATING THE DERIVATIVES 60
III 3.3 THE 3-D POTENTIAL FIELD 61 3.3.1 UPWARD CONTINUATION FROM A 3-D
TOPOGRAPHIC SURFACE 61 3.3.2 DOWNWARD CONTINUATION FROM A 3-D
TOPOGRAPHIC SURFACE 68 3.3.3 CALCULATING THE DERIVATIVES 70 MODELING
MAGNETIC AND GRAVITY ANOMALIES 71 4.1 MAGNETIC ANOMALY 71 4.1.1 BOUNDARY
VALUE PROBLEM OF MAGNETIC POTENTIAL 71 4.1.2 NORMAL GEOMAGNETIC
POTENTIAL 73 4.1.3 2-D PROBLEM 74 4.1.4 3-D PROBLEM 81 4.2 GRAVITY
ANOMALY 83 4.2.1 2-D BODY WITH VARYING DENSITY 84 4.2.2 3-D BODY WITH
VARYING DENSITY 85 MODELING RESISTIVITY AND IP METHODS 89 5.1 THE 2.5-D
FIELD 89 5.1.1 MODELING 2-D INHOMOGENEITIES BENEATH A HORIZONTAL SURFACE
90 5.1.2 MODELING 2-D INHOMOGENEITIES BENEATH A NONPLANAR SURFACE 104
5.2 THE 3-D FIELD 116 5.2.1 MODELING 3-D INHOMOGENEITIES BENEATH A
HORIZONTAL SURFACE 117 5.2.2 MODELING 3-D INHOMOGENEITIES BENEATH A
NONPLANAR SURFACE 125 MODELING THE MAGNETOTELLURIC FIELD 133 6.1 2-D
INHOMOGENEOUS BODY 133 6.1.1 BOUNDARY VALUE PROBLEM 133 6.1.2 BOUNDARY
ELEMENT METHOD 138 6.1.3 EXAMPLES 149 6.2 2-D TERRAIN EFFECT 151 6.2.1
BOUNDARY VALUE PROBLEM 151 6.2.2 BOUNDARY ELEMENT METHOD 152 6.2.3
CALCULATING APPARENT RESISTIVITY AND IMPEDANCE PHASE 154 6.2.4 EXAMPLES
156 IV 6.3 3-D TERRAIN EFFECT 158 6.3.1 BOUNDARY VALUE PROBLEM 159 6.3.2
BOUNDARY INTEGRAL EQUATION 160 6.3.3 BOUNDARY ELEMENT METHOD 162 6.3.4
CALCULATING APPARENT RESISTIVITY 165 6.3.5 ELEMENT DIVISION 166 6.3.6
EXAMPLES 167 7 MODELING ELASTODYNAMIC AND SCALAR WAVE EQUATION PROBLEMS
169 7.1 MODELING THE ELASTODYNAMIC PROBLEM 169 7.1.1 BASIC PROBLEM OF
ELASTODYNAMICS 169 7.1.2 BEM IN THE TIME DOMAIN 171 7.1.3 BEM IN THE
FREQUENCY DOMAIN 180 7.1.4 EXAMPLES 184 7.2 MODELING THE SCALAR WAVE
EQUATION PROBLEM 190 7.2.1 BEM IN THE TIME DOMAIN 190 7.2.2 BEM IN THE
FREQUENCY DOMAIN 195 7.2.3 EXAMPLE 197 8" COMBINED USE OF BEM AND FEM
205 REFERENCES 209 INDEX 215 |
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| indexdate | 2025-01-30T09:01:05Z |
| institution | BVB |
| isbn | 1560801050 |
| language | English Chinese |
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| physical | XIV, 217 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Soc. of Exploration Geophysicists |
| record_format | marc |
| series | Geophysical monograph series |
| series2 | Geophysical monograph series |
| spelling | Xu, Shi-zhe Verfasser aut The boundary element method in geophysics by Shi-zhe Xu Tulsa, OK Soc. of Exploration Geophysicists 2001 XIV, 217 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Geophysical monograph series 9 Aus dem. Chines. übers. Mathematik Boundary element methods Geophysics Mathematics Randelemente-Methode (DE-588)4076508-8 gnd rswk-swf Geophysik (DE-588)4020252-5 gnd rswk-swf Randelemente-Methode (DE-588)4076508-8 s Geophysik (DE-588)4020252-5 s DE-604 Geophysical monograph series 9 (DE-604)BV007731436 9 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009676641&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Xu, Shi-zhe The boundary element method in geophysics Geophysical monograph series Mathematik Boundary element methods Geophysics Mathematics Randelemente-Methode (DE-588)4076508-8 gnd Geophysik (DE-588)4020252-5 gnd |
| subject_GND | (DE-588)4076508-8 (DE-588)4020252-5 |
| title | The boundary element method in geophysics |
| title_auth | The boundary element method in geophysics |
| title_exact_search | The boundary element method in geophysics |
| title_full | The boundary element method in geophysics by Shi-zhe Xu |
| title_fullStr | The boundary element method in geophysics by Shi-zhe Xu |
| title_full_unstemmed | The boundary element method in geophysics by Shi-zhe Xu |
| title_short | The boundary element method in geophysics |
| title_sort | the boundary element method in geophysics |
| topic | Mathematik Boundary element methods Geophysics Mathematics Randelemente-Methode (DE-588)4076508-8 gnd Geophysik (DE-588)4020252-5 gnd |
| topic_facet | Mathematik Boundary element methods Geophysics Mathematics Randelemente-Methode Geophysik |
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