Modelling of surface waves in poroelastic saturated materials by means of a two component continuum: lecture notes ; CISM course: surface waves in geomechanics, Undine, September 2004
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
WIAS
2004
|
| Series: | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V.
952 |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 41 - 44 |
| Physical Description: | 44 S. graph. Darst. 30 cm |
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| 245 | 1 | 0 | |a Modelling of surface waves in poroelastic saturated materials by means of a two component continuum |b lecture notes ; CISM course: surface waves in geomechanics, Undine, September 2004 |c Bettina Albers |
| 264 | 1 | |a Berlin |b WIAS |c 2004 | |
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| 490 | 1 | |a Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. |v 952 | |
| 500 | |a Literaturverz. S. 41 - 44 | ||
| 810 | 2 | |a Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. |t Preprint |v 952 |w (DE-604)BV009885922 |9 952 | |
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Record in the Search Index
| _version_ | 1816445433177702400 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
2
1.1
PRACTICAL
AIMS
.
3
1.2
THEORETICAL
BACKGROUND
.
4
1.2.1
BIOT
'
S
MODEL
.
4
1.2.2
SIMPLE
MIXTURE
MODEL
.
5
1.2.3
BOUNDARY
CONDITIONS
.
6
2
ANALYSIS
BY
MEANS
OF
THE
'
'
SIMPLE
MIXTURE
MODEL
"
-
BOUNDARY
POROUS
MEDIUM
/
VACUUM
8
2.1
CONSTRUCTION
OF
SOLUTION
FOR
A
SEMIINFINITE
MEDIUM
.
8
2.1.1
COMPATIBILITY
WITH
FIELD
EQUATIONS
.
8
2.1.2
DIMENSIONLESS
NOTATION
.
10
2.1.3
ANSATZ
.
10
2.1.4
DISPERSION
RELATION
.
12
2.1.5
HIGH
AND
LOW
FREQUENCY
APPROXIMATIONS
.
12
2.2
NUMERICAL
PROCEDURE
.
14
2.3
PARAMETERS
.
14
2.4
NUMERICAL
RESULTS
.
15
2.4.1
PHASE
VELOCITIES
OF
RAYLEIGH
AND
STONELEY
WAVES
.
15
2.4.2
GROUP
VELOCITIES
OF
RAYLEIGH
AND
STONELEY
WAVES
.
18
2.4.3
ATTENUATION
OF
RAYLEIGH
AND
STONELEY
WAVES
.
20
2.5
SUMMARY
OF
RESULTS
FOR
BOUNDARY
POROUS
MEDIUM/VACUUM
.
23
3
ANALYSIS
BY
MEANS
OF
THE
'
'
SIMPLE
MIXTURE
MODEL
"
-
BOUNDARY
POROUS
MEDIUM/FLUID
24
3.1
CONSTRUCTION
OF
SOLUTION
.
24
3.1.1
COMPATIBILITY
WITH
FIELD
EQUATIONS
.
25
3.1.2
INSERTION
INTO
BOUNDARY
CONDITIONS
.
26
3.1.3
DISPERSION
RELATION
.
27
3.1.4
HIGH
AND
LOW
FREQUENCY
APPROXIMATIONS
.
28
3.2
NUMERICAL
RESULTS
.
29
3.2.1
PROCEDURE
AND
PARAMETERS
.
29
3.2.2
DEPENDENCE
OF
PHASE
VELOCITIES
AND
ATTENUATIONS
ON
THE
FREQUENCY
.
30
3.2.3
DEPENDENCE
OF
VELOCITIES/ATTENUATIONS
ON
THE
SURFACE
PERMEABILITY
.
33
3.2.4
GROUP
VELOCITIES
OF
THE
THREE
SURFACE
WAVES
.
33
3.2.5
SUMMARY
OF
RESULTS
FOR
BOUNDARY
POROUS
MEDIUM/FLUID
.
35
4
COMPARISON
TO
RESULTS
OF
OTHER
AUTHORS
36
4.1
DERESIEWICZ
.
36
4.2
FENG
&
JOHNSON
.
36
5
GLANCE
ON
THREE-COMPONENT
POROUS
MEDIA
39 |
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| id | DE-604.BV022930983 |
| illustrated | Illustrated |
| index_date | 2024-07-02T18:54:24Z |
| indexdate | 2024-11-22T17:42:34Z |
| institution | BVB |
| language | English |
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| physical | 44 S. graph. Darst. 30 cm |
| publishDate | 2004 |
| publishDateSearch | 2004 |
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| series2 | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. |
| spelling | Albers, Bettina Verfasser aut Modelling of surface waves in poroelastic saturated materials by means of a two component continuum lecture notes ; CISM course: surface waves in geomechanics, Undine, September 2004 Bettina Albers Berlin WIAS 2004 44 S. graph. Darst. 30 cm txt rdacontent n rdamedia nc rdacarrier Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. 952 Literaturverz. S. 41 - 44 Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. Preprint 952 (DE-604)BV009885922 952 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016135800&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Albers, Bettina Modelling of surface waves in poroelastic saturated materials by means of a two component continuum lecture notes ; CISM course: surface waves in geomechanics, Undine, September 2004 |
| title | Modelling of surface waves in poroelastic saturated materials by means of a two component continuum lecture notes ; CISM course: surface waves in geomechanics, Undine, September 2004 |
| title_auth | Modelling of surface waves in poroelastic saturated materials by means of a two component continuum lecture notes ; CISM course: surface waves in geomechanics, Undine, September 2004 |
| title_exact_search | Modelling of surface waves in poroelastic saturated materials by means of a two component continuum lecture notes ; CISM course: surface waves in geomechanics, Undine, September 2004 |
| title_exact_search_txtP | Modelling of surface waves in poroelastic saturated materials by means of a two component continuum lecture notes ; CISM course: surface waves in geomechanics, Undine, September 2004 |
| title_full | Modelling of surface waves in poroelastic saturated materials by means of a two component continuum lecture notes ; CISM course: surface waves in geomechanics, Undine, September 2004 Bettina Albers |
| title_fullStr | Modelling of surface waves in poroelastic saturated materials by means of a two component continuum lecture notes ; CISM course: surface waves in geomechanics, Undine, September 2004 Bettina Albers |
| title_full_unstemmed | Modelling of surface waves in poroelastic saturated materials by means of a two component continuum lecture notes ; CISM course: surface waves in geomechanics, Undine, September 2004 Bettina Albers |
| title_short | Modelling of surface waves in poroelastic saturated materials by means of a two component continuum |
| title_sort | modelling of surface waves in poroelastic saturated materials by means of a two component continuum lecture notes cism course surface waves in geomechanics undine september 2004 |
| title_sub | lecture notes ; CISM course: surface waves in geomechanics, Undine, September 2004 |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016135800&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV009885922 |
| work_keys_str_mv | AT albersbettina modellingofsurfacewavesinporoelasticsaturatedmaterialsbymeansofatwocomponentcontinuumlecturenotescismcoursesurfacewavesingeomechanicsundineseptember2004 |