GLORIA

GEOMAR Library Ocean Research Information Access

feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 1
    Online Resource
    Online Resource
    Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V.
    Keywords: Forschungsbericht
    Description / Table of Contents: A PDE system consisting of the momentum balance, mass balance, and energy balance equations for displacement, capillary pressure, and temperature as a model for unsaturated fluid flow in a porous viscoelastoplastic solid is shown to admit a solution under appropriate assumptions on the constitutive behavior. The problem involves two hysteresis operators accounting for plastic and capillary hysteresis.
    Type of Medium: Online Resource
    Pages: 1 Online-Ressource (29 Seiten, 260 kB)
    Series Statement: Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik No. 2211
    Language: English
    Note: Literaturverzeichnis: Seite 25-27
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
  • 2
    Keywords: Forschungsbericht
    Type of Medium: Online Resource
    Pages: Online-Ressource (PDF-Datei: 32 S., 359 KB) , Ill., graph. Darst.
    Series Statement: Report / Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. No. 18
    Language: English
    Note: Literaturangaben , Systemvoraussetzungen: Acrobat reader.
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
  • 3
    Online Resource
    Online Resource
    Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
    Keywords: Forschungsbericht
    Description / Table of Contents: The topic of a previous work was the study of monochromatic surface waves at the boundary between a porous medium and a vacuum. This article is an extension of this research to the propagation of surface waves on the interface between a porous halfspace and a fluid halfspace. Results for phase and group velocities and attenuations are shown in dependence on both the frequency and the surface permeability. In contrast to classical papers on surface waves where only the limits of the frequency (zero and infinity) and the limits of the surface permeability (fully sealed and fully open boundary) were studied, we investigate the problem in the full range of both parameters. For the analysis we use the ''simple mixture model'' which is a simplification of the classical Biot model for poroelastic media. The construction of a solution is shown and the dispersion relation solved numerically. There exist three surface waves for this boundary: a leaky Rayleigh wave and both a true and a leaky Stoneley wave. The true Stoneley wave exists only in a limited range of the surface permeability.
    Type of Medium: Online Resource
    Pages: 1 Online-Ressource (25 Seiten, 805,01 KB) , Diagramme
    Series Statement: Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik no. 1010
    DDC: 530.417
    Language: English
    Note: Literaturverzeichnis: Seite 22-23
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
  • 4
    Online Resource
    Online Resource
    Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
    Keywords: Forschungsbericht
    Description / Table of Contents: This work is devoted to the numerical analysis of surface waves in two-component saturated poroelastic media. We use the "simple mixture model" which is a simplification of the classical Biot's model for poroelastic media. For the interface porous medium/vacuum there exist two surface waves in the whole range of freuencies - a leaky Rayleigh wave and a true Stoneley wave. For the interface porous medium/fluid one more surface wave appears - a leaky Stoneley wave. For this boundary velocities and attenuations of the waves are shown in dependence on the surface permeability. The true Stoneley wave exists only in a limited range of this parameter.
    Type of Medium: Online Resource
    Pages: 1 Online-Ressource (8 Seiten, 771,85 KB) , Diagramme
    Series Statement: Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik no. 1002
    DDC: 530.417
    Language: English
    Note: Literaturverzeichnis: Seite 8
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
  • 5
    Online Resource
    Online Resource
    Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
    Keywords: Forschungsbericht
    Description / Table of Contents: The paper presents a linear stability analysis of a 1D stationary flow through a poroelastic medium. This base flow is perturbed in four ways: by longitudinal (1D) disturbances without and with mass exchange and by transversal (2D) disturbances without and with mass exchange. The eigenvalue problem for the first step field equations is solved using a finite-difference-scheme. For both disturbances without mass exchange results are confirmed by an analytical solution. We present the stability and relaxation properties in dependence on the two most important model parameters, namely the bulk and surface permeability coefficients.
    Type of Medium: Online Resource
    Pages: 1 Online-Ressource (30 Seiten, 561,63 KB) , Illustrationen, Diagramme
    Series Statement: Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. no. 721
    Language: English
    Note: Literaturverzeichnis: Seite 28
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
  • 6
    Online Resource
    Online Resource
    Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
    Keywords: Forschungsbericht
    Description / Table of Contents: We consider two problems of propagation of weak discontinuity waves in porous materials. In the first part we present basic properties of bulk waves in fully saturated materials. These materials are modelled by a two-component immiscible mixture. We present general propagation conditions for such a model which yield three modes of propagation: P1-, S-, and P2-waves. Then we discuss the dispersion relation and we show that results are strongly dependent on the way in which waves are excited. In the second part we present some properties of surface waves. We begin with the classical Rayleigh and Love problems and then we extend them on heterogeneous materials important in practical applications. Subsequently we proceed to surface waves in two-component porous materials on the contact surface with vacuum (impermeable boundary) and with a liquid (permeable boundary). We show the existence of different modes of surface waves in the high frequency limit as well as the degeneration of the problem in the low frequency limit.
    Type of Medium: Online Resource
    Pages: 1 Online-Ressource (35 Seiten, 483,85 KB) , Diagramme
    Series Statement: Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik no. 757
    RVK:
    Language: English
    Note: Literaturverzeichnis: Seite 31-33
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
  • 7
    Online Resource
    Online Resource
    Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
    Keywords: Forschungsbericht
    Description / Table of Contents: In this work the dispersion relation for surface waves on an impermeable boundary of a fully saturated poroelastic medium is investigated numerically in the whole range of frequencies. A linear model of a two-component poroelastic medium is used in the form proposed by K. Wilmanski. Similarly to the classical Biot's model it is a continuum mechanical model but it is much simpler. In the whole range of frequencies there exist two modes of surface waves corresponding to the classical Rayleigh and Stoneley waves. The numerical results for velocities and attenuations of these waves are shown for different values of the bulk permeability coefficient in different ranges of frequencies.
    Type of Medium: Online Resource
    Pages: 1 Online-Resource (23 Seiten, 446,89 KB) , Illustrationen, Diagramme
    Series Statement: Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. no. 862
    DDC: 530
    Language: English
    Note: Literaturverzeichnis: Seite 20-21
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
  • 8
    Keywords: Forschungsbericht
    Description / Table of Contents: In this paper we present a comparison of the linear wave analysis for four models of poroelastic materials. As shown in a paper by Wilmanski (Arch. Mech. 2002) a nonlinear thermodynamical construction of a two-component model of such materials requires a dependence on the porosity gradient. In the linear version this dependence may or may not be present (WIAS-Preprint No. 868). Consequently, we may work with the model without a dependence on this gradient which is identical with Biot's model or we can use the so-called full model. In both cases we can construct simplified models without a coupling between partial stresses introduced by Biot. These simplified models have the advantage that their application to, for instance, surface wave analysis yields much simpler mathematical problems. In the present work we show that such a simplification for granular materials leads to a good qualitative agreement of all four models in ranges of porosity and Poisson's ratio commonly appearing in geotechnical applications. Quantitative differences depend on the mode of propagation and vary between 10% and 20%. We illustrate the analysis with a numerical example corresponding to data for sands ...
    Type of Medium: Online Resource
    Pages: 1 Online-Ressource (24 Seiten, 566,30 KB) , Diagramme
    Series Statement: Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. no. 874
    DDC: 530
    Language: English
    Note: Literaturverzeichnis: Seite 21-22
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
  • 9
    Keywords: Forschungsbericht
    Description / Table of Contents: These lecture notes are devoted to an overview of the modelling and the numerical analysis of surface waves in two-component saturated poroelastic media. This is an extension to the part of the lecture notes by K. Wilmanski (WIAS-Preprint No. 945) which is primarily concerned with the classical surface waves in single component media. We use the ''simple mixture model'' which is a simplification of the classical Biot's model for poroelastic media. Two interfaces are considered here: firstly the interface between a porous half space and a vacuum and secondly the interface between a porous halfspace and a fluid halfspace. For both problems we show how a solution can be constructed and a numerical solution of the dispersion relation can be found. We discuss the results for phase and group velocities and attenuations, and compare some of them to the high and low frequency approximations. For the interface porous medium/vacuum there exist in the whole range of frequencies two surface waves - a leaky Rayleigh wave and a true Stoneley wave. For the interface porous medium/fluid one more surface wave appears - a leaky Stoneley wave. For this boundary velocities and attenuations of the waves are shown in dependence on the surface permeability. The true Stoneley wave exists only in a limited range of this parameter ...
    Type of Medium: Online Resource
    Pages: 1 Online-Ressource (46 Seiten, 1,23 MB) , Diagramme
    Series Statement: Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. no. 952
    DDC: 530
    Language: English
    Note: Literaturverzeichnis: Seite 41-44
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
  • 10
    Online Resource
    Online Resource
    Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
    Keywords: Forschungsbericht
    Description / Table of Contents: The dispersion relation for surface waves on the boundary between a fully saturated poroelastic medium and a vacuum is investigated numerically in the whole range of frequencies. A linear model of a two-component poroelastic medium similar to but simpler than the classical Biot's model is used. In the whole range of frequencies there exist two modes of surface waves corresponding to the classical Rayleigh and Stoneley waves. The numerical results for phase velocities, group velocities and attenuations of these waves are shown for different values of the bulk permeability coefficient.
    Type of Medium: Online Resource
    Pages: 1 Online-Ressource (12 Seiten, 350,40 KB) , Diagramme
    Series Statement: Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. no. 949
    DDC: 530
    Language: English
    Note: Literaturverzeichnis: Seite 9-10
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...