Intrinsic deformation analysis of the earth surface based on 3-dimensional displacement fields derived from space geodetic measurements:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Stuttgart
Geodätisches Inst.
2000
|
| Schriftenreihe: | Universität <Stuttgart, 1967 -> / Studiengang Geodäsie und Geoinformatik: Schriftenreihe der Institute des Studiengangs Geodäsie und Geoinformatik
2000,3 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Zugl.: Stuttgart, Univ., Diss., 2000 |
| Beschreibung: | VIII, 99 S. graph. Darst., Kt. : 30 cm |
Internformat
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| 245 | 1 | 0 | |a Intrinsic deformation analysis of the earth surface based on 3-dimensional displacement fields derived from space geodetic measurements |c submitted by Behzad Voosoghi |
| 264 | 1 | |a Stuttgart |b Geodätisches Inst. |c 2000 | |
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Datensatz im Suchindex
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CONTENTS
ABSTRACT I
ACKNOWLEDGMENTS II
CONTENTS IN
LIST OF FIGURES V
LIST OF BOXES VII
LIST OF TABLES VIII
1 INTRODUCTION 1
2 THEORY OF MANIFOLDS 8
2.1 DIFFERENTIABLE MANIFOLDS. 8
2.2 COORDINATES OF POINTS ON A MANIFOLD. 9
2.3 TENSOR FIELDS. 10
2.4 RIEMANN MANIFOLDS. 11
2.5 GEOMETRY OF 2-DIMENSIONAL RIEMANN MANIFOLDS. 13
3
SURFACE DEFORMATION ANALYSIS ' 17
3.1 THE CONCEPT OF SURFACE DEFORMATION. 17
3.2 SURFACE DEFORMATION MEASURES . 18
3.2.1 CAUCHY-GREEN DEFORMATION TENSOR. 19
3.2.2 EULER-LAGRANGE DEFORMATION TENSOR OF THE FIRST KIND (TENSOR OF
CHANGE OF METRIC).20
3.2.3 EULER-LAGRANGE DEFORMATION TENSOR OF THE SECOND KIND (TENSOR OF
CHANGE OF CURVATURE) . . 21
3.3 SURFACE DEFORMATION MEASURES AND THE DISPLACEMENT VECTOR. 22
3.3.1 SURFACE DEFORMATION MEASURES AS FUNCTIONS OF THE DISPLACEMENT
VECTOR. 23
3.3.2 SURFACE DEFORMATION MEASURES (EXTRINSIC APPROACH). 26
III
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/960531777
CONTENTS
3.3.3 SURFACE DEFORMATION MEASURES (INTRINSIC APPROACH). 30
3.4 LINEARIZED THEORY OF SURFACE DEFORMATION ANALYSIS. 34
3.5 ASSOCIATED INVARIANTS OF THE SURFACE DEFORMATION TENSORS. 37
4 THE EARTH SURFACE DEFORMATION ANALYSIS 40
4.1 SURFACE-NORMAL COORDINATES. 40
4.2 EXTRINSIC DEFORMATION ANALYSIS OF THE EARTH SURFACE. 41
4.3 INTRINSIC DEFORMATION ANALYSIS OF THE EARTH SURFACE . 46
4.4 TRANSFORMATIONS OF SPACE AND SURFACE COORDINATES OF A VECTOR. 49
4.4.1 CONVERSION OF THE SPACE CARTESIAN COORDINATES INTO THE SPACE
CURVILINEAR COORDINATES . 50
4.4.2 CONVERSION OF THE SPACE CARTESIAN COORDINATES INTO THE SURFACE
CURVILINEAR COORDINATES . . 52
4.4.3 CONVERSION OF THE SPACE CURVILINEAR COORDINATES INTO THE SURFACE
CURVILINEAR COORDINATES . . 54
\
4.4.4 CONVERSION OF THE SPACE CARTESIAN COORDINATES INTO THE SURFACE
CURVILINEAR COORDINATES
BASED ON THE LEAST SQUARE SOLUTION . 55
5 THE EARTH SURFACE DEFORMATIONS AND DISPLACEMENT FIELDS 57
5.1 THE EARTH'S DEFORMATIONS. 57
5.2 GEODETIC DISPLACEMENT FIELDS . 60
5.3 FINITE ELEMENT APPROACH . 63
6 PRESENT-DAY SURFACE DEFORMATION PATTERNS OF THE EUROPEAN AND
MEDITERRANEAN AREA 67
6.1 THE TECTONIC AND GEOPHYSICAL SETTINGS. 67
6.2 SPACE GEODETIC DATA. 71
6.3 DATA PROCESSING STRATEGY. 74
6.4 ANALYSIS AND DISCUSSION OF THE RESULTS. 75
6.4.1 LEFT EULER-LAGRANGE DEFORMATION TENSOR OF THE FIRST KIND
(LAGRANGIAN STRAIN TENSOR) . 76
6.4.2 LEFT SURFACE LINEARIZED ROTATION TENSOR. 79
6.4.3 LEFT EULER-LAGRANGE DEFORMATION TENSOR OF THE SECOND KIND
(LAGRANGIAN TENSOR OF CHANGE
OF CURVATURE). 82
7 SUMMARY AND CONCLUSIONS
89
REFERENCES
92
IV |
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| id | DE-604.BV013620278 |
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| indexdate | 2024-10-09T18:10:11Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009305064 |
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| physical | VIII, 99 S. graph. Darst., Kt. : 30 cm |
| publishDate | 2000 |
| publishDateSearch | 2000 |
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| series2 | Universität <Stuttgart, 1967 -> / Studiengang Geodäsie und Geoinformatik: Schriftenreihe der Institute des Studiengangs Geodäsie und Geoinformatik |
| spelling | Voosoghi, Behzad Verfasser aut Intrinsic deformation analysis of the earth surface based on 3-dimensional displacement fields derived from space geodetic measurements submitted by Behzad Voosoghi Stuttgart Geodätisches Inst. 2000 VIII, 99 S. graph. Darst., Kt. : 30 cm txt rdacontent n rdamedia nc rdacarrier Universität <Stuttgart, 1967 -> / Studiengang Geodäsie und Geoinformatik: Schriftenreihe der Institute des Studiengangs Geodäsie und Geoinformatik 2000,3 Zugl.: Stuttgart, Univ., Diss., 2000 Deformation (DE-588)4070262-5 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Erdoberfläche (DE-588)4113458-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Erdoberfläche (DE-588)4113458-8 s Deformation (DE-588)4070262-5 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Studiengang Geodäsie und Geoinformatik: Schriftenreihe der Institute des Studiengangs Geodäsie und Geoinformatik Universität <Stuttgart, 1967 -> 2000,3 (DE-604)BV013042572 2000,3 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009305064&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Voosoghi, Behzad Intrinsic deformation analysis of the earth surface based on 3-dimensional displacement fields derived from space geodetic measurements Deformation (DE-588)4070262-5 gnd Mathematisches Modell (DE-588)4114528-8 gnd Erdoberfläche (DE-588)4113458-8 gnd |
| subject_GND | (DE-588)4070262-5 (DE-588)4114528-8 (DE-588)4113458-8 (DE-588)4113937-9 |
| title | Intrinsic deformation analysis of the earth surface based on 3-dimensional displacement fields derived from space geodetic measurements |
| title_auth | Intrinsic deformation analysis of the earth surface based on 3-dimensional displacement fields derived from space geodetic measurements |
| title_exact_search | Intrinsic deformation analysis of the earth surface based on 3-dimensional displacement fields derived from space geodetic measurements |
| title_full | Intrinsic deformation analysis of the earth surface based on 3-dimensional displacement fields derived from space geodetic measurements submitted by Behzad Voosoghi |
| title_fullStr | Intrinsic deformation analysis of the earth surface based on 3-dimensional displacement fields derived from space geodetic measurements submitted by Behzad Voosoghi |
| title_full_unstemmed | Intrinsic deformation analysis of the earth surface based on 3-dimensional displacement fields derived from space geodetic measurements submitted by Behzad Voosoghi |
| title_short | Intrinsic deformation analysis of the earth surface based on 3-dimensional displacement fields derived from space geodetic measurements |
| title_sort | intrinsic deformation analysis of the earth surface based on 3 dimensional displacement fields derived from space geodetic measurements |
| topic | Deformation (DE-588)4070262-5 gnd Mathematisches Modell (DE-588)4114528-8 gnd Erdoberfläche (DE-588)4113458-8 gnd |
| topic_facet | Deformation Mathematisches Modell Erdoberfläche Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009305064&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV013042572 |
| work_keys_str_mv | AT voosoghibehzad intrinsicdeformationanalysisoftheearthsurfacebasedon3dimensionaldisplacementfieldsderivedfromspacegeodeticmeasurements |