Curtin University Homepage
  • Library
  • Help
    • Admin

    espace - Curtin’s institutional repository

    JavaScript is disabled for your browser. Some features of this site may not work without it.
    View Item 
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item

    Differential form and numerical implementation of Biot’s poroelasticity equations with squirt dissipation

    173051_44747_Differential form and numerical implementation of Biot_s.pdf (681.7Kb)
    Access Status
    Open access
    Authors
    Carcione, J.
    Gurevich, Boris
    Date
    2011
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Carcione, Jose M. and Gurevich, Boris. 2011. Differential form and numerical implementation of Biot’s poroelasticity equations with squirt dissipation. Geophysics. 76 (6): pp. N55-N64.
    Source Title
    Geophysics
    DOI
    10.1190/geo2010-0169.1
    ISSN
    0016-8033
    School
    Department of Exploration Geophysics
    Remarks

    © 2011 Society of Exploration Geophysicists

    URI
    http://hdl.handle.net/20.500.11937/29179
    Collection
    • Curtin Research Publications
    Abstract

    The squirt-flow wave attenuation mechanism is implemented in Biot's theory of poroelasticity in the form of differential equations. All the stiffnesses involved in the stress-strain relation become complex and frequency dependent, which can exactly be expressed in terms of kernels based on the Zener mechanical model. In the time domain, this approach implies time convolutions, which are circumvented by introducing memory variables. The differential equations are consistent with Gassmann's and Mavko-Jizba equations at low and high frequencies, respectively. All the coefficients in the poro-viscoelastic differential equations have a clear physical meaning and can be obtained or estimated from independent measurements. The key additional parameters are the dry-rock bulk modulus at a confining pressure where all the compliant pores are closed, i.e., a hypothetical rock without the soft porosity, the grain-contact aspect ratio and the compliant porosity. We recasted the wave equation in the particle-velocity/stress formulation and solved it by using a time-splitting technique and the Fourier pseudospectral method to compute the spatial derivatives. The algorithm can be used to obtain synthetic wave fields in inhomogeneous media.

    Related items

    Showing items related by title, author, creator and subject.

    • Modelling borehole wave signatures in elastic and poroelastic media with spectral method
      Karpfinger, Florian (2009)
      Borehole sonic measurements are an important tool to characterize formation and completion properties of hydrocarbon or water reservoirs. Such measurements can provide direct information about rock physical parameters ...
    • All meromorphic solutions for two forms of odd order algebraic differential equations and its applications
      Yuan, W.; Wu, Yong Hong; Chen, Q.; Huang, Y. (2014)
      In this article, we employ the Nevanlinna’s value distribution theory to investigate the existence of meromorphic solutions of algebraic differential equations. We obtain the representations of all meromorphic solutions ...
    • The well-posedness and solutions of Boussinesq-type equations
      Lin, Qun (2009)
      We develop well-posedness theory and analytical and numerical solution techniques for Boussinesq-type equations. Firstly, we consider the Cauchy problem for a generalized Boussinesq equation. We show that under suitable ...
    Advanced search

    Browse

    Communities & CollectionsIssue DateAuthorTitleSubjectDocument TypeThis CollectionIssue DateAuthorTitleSubjectDocument Type

    My Account

    Admin

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Follow Curtin

    • 
    • 
    • 
    • 
    • 

    CRICOS Provider Code: 00301JABN: 99 143 842 569TEQSA: PRV12158

    Copyright | Disclaimer | Privacy statement | Accessibility

    Curtin would like to pay respect to the Aboriginal and Torres Strait Islander members of our community by acknowledging the traditional owners of the land on which the Perth campus is located, the Whadjuk people of the Nyungar Nation; and on our Kalgoorlie campus, the Wongutha people of the North-Eastern Goldfields.