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Volumn 12, Issue 1, 2004, Pages 1-21

Simulation of waves in poro-viscoelastic rocks saturated by immiscible fluids. Numerical evidence of a second slow wave

Author keywords

Finite elements; Multiphase fluids; Poroviscoelasticity; Wave propagation

Indexed keywords


EID: 7444239030     PISSN: 0218396X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218396X04002195     Document Type: Article
Times cited : (44)

References (41)
  • 1
    • 36849141972 scopus 로고
    • Theory of deformation of a porous viscoelastic anisotropic solid
    • M. A. Biot, Theory of deformation of a porous viscoelastic anisotropic solid, J. Appl. Phys. 27 (1956) 459.
    • (1956) J. Appl. Phys. , vol.27 , pp. 459
    • Biot, M.A.1
  • 2
    • 77956725039 scopus 로고
    • Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low frequency range
    • M. A. Biot, Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low frequency range, J. Acoust. Soc. Am. 28 (1956) 168.
    • (1956) J. Acoust. Soc. Am. , vol.28 , pp. 168
    • Biot, M.A.1
  • 3
    • 84918383033 scopus 로고
    • Theory of propagation of elastic waves in a fluid-saturated porous solid. II. High frequency range
    • M. A. Biot, Theory of propagation of elastic waves in a fluid-saturated porous solid. II. High frequency range, J. Acoust. Soc. Am. 28 (1956) 179.
    • (1956) J. Acoust. Soc. Am. , vol.28 , pp. 179
    • Biot, M.A.1
  • 4
    • 36749117593 scopus 로고
    • Observation of a second bulk compressional wave in a porous medium at ultrasonic frequencies
    • T. J. Plona, Observation of a second bulk compressional wave in a porous medium at ultrasonic frequencies, Appl Phys. Lett. 56 (1980) 259.
    • (1980) Appl Phys. Lett. , vol.56 , pp. 259
    • Plona, T.J.1
  • 5
    • 84867149490 scopus 로고
    • Simulation of Biot waves in a cylindrically symmetric domain
    • eds. B. Engquist and B. Gustafson (Chartwell-Bratt)
    • J. Douglas Jr., J. E. Santos and J. L. Hensley, Simulation of Biot waves in a cylindrically symmetric domain, in Proc. 3rd Int. Conf. Hyperbolic Problems, eds. B. Engquist and B. Gustafson (Chartwell-Bratt, 1, 1990), pp. 330-350.
    • (1990) Proc. 3rd Int. Conf. Hyperbolic Problems , vol.1 , pp. 330-350
    • Douglas Jr., J.1    Santos, J.E.2    Hensley, J.L.3
  • 8
    • 0035328601 scopus 로고    scopus 로고
    • Numerical simulation of the Biot slow wave in water-saturated Nivelsteiner sandstone
    • B. Arntsen and J. M. Carcione, Numerical simulation of the Biot slow wave in water-saturated Nivelsteiner sandstone, Geophysics 66 (2001) 890.
    • (2001) Geophysics , vol.66 , pp. 890
    • Arntsen, B.1    Carcione, J.M.2
  • 9
    • 0004508144 scopus 로고    scopus 로고
    • Some aspects of the physics and numerical modeling of Biot compressional waves
    • J. M. Carcione and G. Quiroga-Goode, Some aspects of the physics and numerical modeling of Biot compressional waves, J. Comput. Acoust. 3 (1996) 261.
    • (1996) J. Comput. Acoust. , vol.3 , pp. 261
    • Carcione, J.M.1    Quiroga-Goode, G.2
  • 10
    • 36849137954 scopus 로고
    • Mechanics of deformation and acoustic propagation in porous media
    • M. A. Biot, Mechanics of deformation and acoustic propagation in porous media, J. Appl. Phys. 33 (1962) 1482.
    • (1962) J. Appl. Phys. , vol.33 , pp. 1482
    • Biot, M.A.1
  • 11
    • 84967846265 scopus 로고
    • Bulk elastic wave propagation in partially saturated porous solids
    • J. Berryman, L. Thigpen and R. Chin, Bulk elastic wave propagation in partially saturated porous solids, J. Acoust. Soc. Am. 84 (1988) 360.
    • (1988) J. Acoust. Soc. Am. , vol.84 , pp. 360
    • Berryman, J.1    Thigpen, L.2    Chin, R.3
  • 12
    • 0018655952 scopus 로고
    • Attenuation and dispersion of compressional waves in fluid-filled porous rocks with partial gas saturation (White model) - Part I: Biot theory
    • N. C. Dutta and H. Odé, Attenuation and dispersion of compressional waves in fluid-filled porous rocks with partial gas saturation (White model) - Part I: Biot theory, Geophysics 44 (1979) 777.
    • (1979) Geophysics , vol.44 , pp. 777
    • Dutta, N.C.1    Odé, H.2
  • 13
    • 0020330244 scopus 로고
    • Attenuation in partially saturated rocks
    • S. Mochizuki, Attenuation in partially saturated rocks, J. Geophys. Res. 87 (1982) 8598.
    • (1982) J. Geophys. Res. , vol.87 , pp. 8598
    • Mochizuki, S.1
  • 14
    • 0000576680 scopus 로고
    • Velocities of seismic waves in porous rocks
    • M. N. Toksöz, C. H. Cheng and A. Timur, Velocities of seismic waves in porous rocks, Geophysics 41 (1976) 621.
    • (1976) Geophysics , vol.41 , pp. 621
    • Toksöz, M.N.1    Cheng, C.H.2    Timur, A.3
  • 15
    • 0025123061 scopus 로고
    • A model for wave propagation in a porous medium saturated by a two-phase fluid
    • J. E. Santos, J. Douglas Jr., J. M. Corberó and O. M. Lovera, A model for wave propagation in a porous medium saturated by a two-phase fluid, J. Acoust. Soc. Am. 87 (1990a) 1439.
    • (1990) J. Acoust. Soc. Am. , vol.87 , pp. 1439
    • Santos, J.E.1    Douglas Jr., J.2    Corberó, J.M.3    Lovera, O.M.4
  • 16
    • 0025046249 scopus 로고
    • Static and dynamic behaviour of a porous solid saturated by a two-phase fluid
    • J. E. Santos, J. Douglas Jr. and J. Corberó, Static and dynamic behaviour of a porous solid saturated by a two-phase fluid, J. Acoust. Soc. Am. 87 (1990b) 1428.
    • (1990) J. Acoust. Soc. Am. , vol.87 , pp. 1428
    • Santos, J.E.1    Douglas Jr., J.2    Corberó, J.3
  • 18
    • 0029416346 scopus 로고
    • Constitutive model and wave equations for linear, viscoelastic, anisotropic media
    • J. M. Carcione, Constitutive model and wave equations for linear, viscoelastic, anisotropic media, Geophysics 60 (1995) 537.
    • (1995) Geophysics , vol.60 , pp. 537
    • Carcione, J.M.1
  • 21
    • 0037032705 scopus 로고    scopus 로고
    • Nonconforming finite element methods for the simulation of waves in viscoelastic solids
    • T. Ha, J. E. Santos and D. Sheen, Nonconforming finite element methods for the simulation of waves in viscoelastic solids, Comp. Methods in Appl. Mech. Eng. 191 (2002) 5647.
    • (2002) Comp. Methods in Appl. Mech. Eng. , vol.191 , pp. 5647
    • Ha, T.1    Santos, J.E.2    Sheen, D.3
  • 24
    • 0035624404 scopus 로고    scopus 로고
    • Frequency domain wave propagation modeling in exploration seismology
    • P. M. Gauzellino, J. E. Santos and D. Sheen, Frequency domain wave propagation modeling in exploration seismology, J. Comput. Acoust. 9 (2001) 941.
    • (2001) J. Comput. Acoust. , vol.9 , pp. 941
    • Gauzellino, P.M.1    Santos, J.E.2    Sheen, D.3
  • 25
    • 21144463078 scopus 로고
    • A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods
    • J. Douglas Jr., P. L. Paes Leme, J. E. Roberts and J. Wang, A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods, Numer. Math. 65 (1993) 95.
    • (1993) Numer. Math. , vol.65 , pp. 95
    • Douglas Jr., J.1    Paes Leme, P.L.2    Roberts, J.E.3    Wang, J.4
  • 29
    • 0031268516 scopus 로고    scopus 로고
    • Observation of the Biot slow wave in water-saturated Nivelsteiner sandstone
    • O. Kelder and D. Smeulders, Observation of the Biot slow wave in water-saturated Nivelsteiner sandstone, Geophysics 62 (1997) 1794.
    • (1997) Geophysics , vol.62 , pp. 1794
    • Kelder, O.1    Smeulders, D.2
  • 33
    • 84980249851 scopus 로고
    • Velocity dispersion due to anelasticity; implications for seismology and mantle composition
    • H. P. Liu and D. L. Anderson and H. Kanamori, Velocity dispersion due to anelasticity; implications for seismology and mantle composition, Geophys. J. R. Astr. Soc. 147 (1976) 41.
    • (1976) Geophys. J. R. Astr. Soc. , vol.147 , pp. 41
    • Liu, H.P.1    Anderson, D.L.2    Kanamori, H.3
  • 34
    • 0023315016 scopus 로고
    • Theory of dynamic permeability and tortuosity in fluid-saturated porous media
    • D. L. Johnston, J. Koplik and R. Dashen, Theory of dynamic permeability and tortuosity in fluid-saturated porous media, J. Fluid Mechanics 176 (1987) 379.
    • (1987) J. Fluid Mechanics , vol.176 , pp. 379
    • Johnston, D.L.1    Koplik, J.2    Dashen, R.3
  • 35
    • 33744516185 scopus 로고
    • Confirmation of Biot's theory
    • J. G. Berryman, Confirmation of Biot's theory, Appl. Phys. Lett. 37 (1980) 382.
    • (1980) Appl. Phys. Lett. , vol.37 , pp. 382
    • Berryman, J.G.1
  • 37
    • 0023286477 scopus 로고
    • Nonsaturated deformable porous media: Quasistatics
    • J. L. Auriault, Nonsaturated deformable porous media: Quasistatics, Transport in Porous Media 2 (1987) 45.
    • (1987) Transport in Porous Media , vol.2 , pp. 45
    • Auriault, J.L.1
  • 38
    • 0000753501 scopus 로고
    • Dynamics of two immiscible fluids flowing through deformable porous media
    • J. L. Auriault, O. Lebaigue and G. Bonnet, Dynamics of two immiscible fluids flowing through deformable porous media, Transport in Porous Media 4 (1989) 105.
    • (1989) Transport in Porous Media , vol.4 , pp. 105
    • Auriault, J.L.1    Lebaigue, O.2    Bonnet, G.3
  • 39
    • 0000289412 scopus 로고
    • Viscous attenuation of sound in saturated sand
    • J. M. Hovem and G. D. Ingram, Viscous attenuation of sound in saturated sand, J. Acoust. Soc. Amer. 66 (1979) 1807.
    • (1979) J. Acoust. Soc. Amer. , vol.66 , pp. 1807
    • Hovem, J.M.1    Ingram, G.D.2
  • 40
    • 0027556229 scopus 로고
    • Finite element methods for an acoustic well-logging problem associated with a porous medium saturated by a two-phase immiscible fluid
    • D. Sheen, Finite element methods for an acoustic well-logging problem associated with a porous medium saturated by a two-phase immiscible fluid, Numer. Methods for Partial Diff. Eqs. 9 (1993) 155.
    • (1993) Numer. Methods for Partial Diff. Eqs. , vol.9 , pp. 155
    • Sheen, D.1
  • 41
    • 0031473997 scopus 로고    scopus 로고
    • On the numerical simulation of waterflooding of heterogeneous petroleum reservoirs
    • J. Douglas Jr., F. Furtado and F. Pereira, On the numerical simulation of waterflooding of heterogeneous petroleum reservoirs, Comput. Geosciences 1 (1997) 155.
    • (1997) Comput. Geosciences , vol.1 , pp. 155
    • Douglas Jr., J.1    Furtado, F.2    Pereira, F.3


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