메뉴 건너뛰기




Volumn 137, Issue 2, 1999, Pages 319-335

Some effects of the memory kernel singularity on wave propagation and inversion in poroelastic media-I. Forward problems

Author keywords

Poroelasticity; Reservoir geophysics; Viscoelasticity; Wave propagation

Indexed keywords

POROUS MEDIUM; SEISMIC WAVE; WAVE PROPAGATION;

EID: 0345298276     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-246X.1999.00775.x     Document Type: Article
Times cited : (33)

References (38)
  • 2
    • 0021831719 scopus 로고
    • Dynamics of porous saturated media, checking of the generalized law of Darcy
    • Auriault, J.L., Borne, L. & Chambon, R., 1985. Dynamics of porous saturated media, checking of the generalized law of Darcy, J. acoust. Soc. Am., 77, 1641-1650.
    • (1985) J. Acoust. Soc. Am. , vol.77 , pp. 1641-1650
    • Auriault, J.L.1    Borne, L.2    Chambon, R.3
  • 3
    • 0021439912 scopus 로고
    • On the appearance of the fractional derivative in the behavior of real material
    • Bagley, R.L. & Torvik, P.J., 1983. On the appearance of the fractional derivative in the behavior of real material, J. appl. Mech., 51, 294-298.
    • (1983) J. Appl. Mech. , vol.51 , pp. 294-298
    • Bagley, R.L.1    Torvik, P.J.2
  • 4
    • 0021645098 scopus 로고
    • On the drag and virtual mass coefficients in Biot's equations
    • Bedford, A., Costley, R.D. & Stern, M., 1984. On the drag and virtual mass coefficients in Biot's equations, J. acoust. Soc. Am., 76, 1804-1809.
    • (1984) J. Acoust. Soc. Am. , vol.76 , pp. 1804-1809
    • Bedford, A.1    Costley, R.D.2    Stern, M.3
  • 5
    • 0002156485 scopus 로고
    • Elastic waves in fluid-saturated porous media
    • eds Burridge, R., Childress, S. & Papanicolaou, G., Springer-Verlag, Berlin
    • Berryman, J.G., 1982. Elastic waves in fluid-saturated porous media, in Macroscopic Properties of Disordered Media, pp. 38-50, eds Burridge, R., Childress, S. & Papanicolaou, G., Springer-Verlag, Berlin.
    • (1982) Macroscopic Properties of Disordered Media , pp. 38-50
    • Berryman, J.G.1
  • 6
    • 84967846265 scopus 로고
    • Bulk elastic wave propagation in partially saturated porous solids
    • Berryman, J.G., Thigpen, L. & Chin, R.C., 1988. Bulk elastic wave propagation in partially saturated porous solids, J. acoust. Soc. Am., 84, 360-373.
    • (1988) J. Acoust. Soc. Am. , vol.84 , pp. 360-373
    • Berryman, J.G.1    Thigpen, L.2    Chin, R.C.3
  • 7
    • 36849137954 scopus 로고
    • Mechanics of deformation and acoustic propagation in porous media
    • Biot, M.A., 1962. Mechanics of deformation and acoustic propagation in porous media, J. appl. Phys., 33, 1482-1498.
    • (1962) J. Appl. Phys. , vol.33 , pp. 1482-1498
    • Biot, M.A.1
  • 9
    • 34250966936 scopus 로고
    • Waves in materials with memory, II: On the growth and decay of acceleration waves
    • Coleman, B.D. & Gurtin, M.E., 1965. Waves in materials with memory, II: On the growth and decay of acceleration waves, Arch. Rat. Mech. Anal., 19, 233-265.
    • (1965) Arch. Rat. Mech. Anal. , vol.19 , pp. 233-265
    • Coleman, B.D.1    Gurtin, M.E.2
  • 17
    • 0029486282 scopus 로고
    • Velocity and attenuation of elastic waves in finely layered porous rocks
    • Gurevich, B. & Lopatnikov, S., 1995. Velocity and attenuation of elastic waves in finely layered porous rocks, Geophys. J. Int, 121, 933-947.
    • (1995) Geophys. J. Int , vol.121 , pp. 933-947
    • Gurevich, B.1    Lopatnikov, S.2
  • 19
    • 0344616713 scopus 로고    scopus 로고
    • Numerical study of wave propagation in porous media
    • submitted
    • Hanyga, A. & Rok, V.E., 1998. Numerical study of wave propagation in porous media. Wave Motion, submitted.
    • (1998) Wave Motion
    • Hanyga, A.1    Rok, V.E.2
  • 20
    • 0040942560 scopus 로고    scopus 로고
    • Asymptotic ray theory in poro-and viscoelastic media
    • in press
    • Hanyga, A. & Seredyńska, M., 1998. Asymptotic ray theory in poro-and viscoelastic media, Wave Motion, in press.
    • (1998) Wave Motion
    • Hanyga, A.1    Seredyńska, M.2
  • 21
    • 0010620748 scopus 로고    scopus 로고
    • On shock waves in materials with memory
    • Hazanov, S., 1997. On shock waves in materials with memory, Wave Motion, 25, 73-81.
    • (1997) Wave Motion , vol.25 , pp. 73-81
    • Hazanov, S.1
  • 22
    • 0019353426 scopus 로고
    • The use of Born approximation in seismic scattering problems
    • Hudson, J.A. & Heritage, J.R., 1981.The use of Born approximation in seismic scattering problems, Geophys. J. Int., 66, 221-240.
    • (1981) Geophys. J. Int. , vol.66 , pp. 221-240
    • Hudson, J.A.1    Heritage, J.R.2
  • 24
    • 0021440218 scopus 로고
    • Applications of fractional calculus to the theory of viscoelasticity
    • Koeller, R.C., 1984. Applications of fractional calculus to the theory of viscoelasticity, J. appl. Mech., 51, 299-307.
    • (1984) J. Appl. Mech. , vol.51 , pp. 299-307
    • Koeller, R.C.1
  • 25
    • 36149023430 scopus 로고
    • Variational principles for scattering processes, I
    • Lippmann, B.A. & Schwinger, J., 1950. Variation;.! principles for scattering processes, I, Phys. Rev., 79, 469-480.
    • (1950) Phys. Rev. , vol.79 , pp. 469-480
    • Lippmann, B.A.1    Schwinger, J.2
  • 26
    • 0000124490 scopus 로고
    • Automodel solutions, of wave equations with time lag
    • Lokshin, A.A. & Rok, V.E., 1978a. Automodel solutions, of wave equations with time lag, Russian Math. Surv., 33, 243-244.
    • (1978) Russian Math. Surv. , vol.33 , pp. 243-244
    • Lokshin, A.A.1    Rok, V.E.2
  • 27
    • 0000911022 scopus 로고
    • Fundamental solutions of the wave equation with delayed time
    • Lokshin, A.A. & Rok, V.E., 1978b. Fundamental solutions of the wave equation with delayed time, Doklady AN SSSR, 239, 1305-1308.
    • (1978) Doklady AN SSSR , vol.239 , pp. 1305-1308
    • Lokshin, A.A.1    Rok, V.E.2
  • 29
    • 0009519626 scopus 로고
    • Linearized dynamics for step jumps of velocity and displacement of shearing flows for a simple fluid
    • Narain, A. & Joseph, D.D., 1982. Linearized dynamics for step jumps of velocity and displacement of shearing flows for a simple fluid, Rheol. Acta, 21, 228-250.
    • (1982) Rheol. Acta , vol.21 , pp. 228-250
    • Narain, A.1    Joseph, D.D.2
  • 30
    • 0001109722 scopus 로고
    • On the viscodynamic operator in Biot's theory
    • Norris, A.N., 1986. On the viscodynamic operator in Biot's theory. J. Wave-Material Interaction, 1, 365-380.
    • (1986) J. Wave-Material Interaction , vol.1 , pp. 365-380
    • Norris, A.N.1
  • 31
    • 0001504447 scopus 로고
    • Deformation in relation to time, pressure and temperature
    • Nutting, P.G., 1946. Deformation in relation to time, pressure and temperature, J. Franklin Inst., 242, 449-458.
    • (1946) J. Franklin Inst. , vol.242 , pp. 449-458
    • Nutting, P.G.1
  • 34
    • 0001177280 scopus 로고
    • Some remarks on the propagation and non-propagation of discontinuities in linearly viscoelastic liquids
    • Renardy, M., 1982. Some remarks on the propagation and non-propagation of discontinuities in linearly viscoelastic liquids, Rheol. Acta, 21, 251-254.
    • (1982) Rheol. Acta , vol.21 , pp. 251-254
    • Renardy, M.1
  • 35
    • 0009550874 scopus 로고    scopus 로고
    • Time-domain representation of waves in media with frequency power law of dispersion
    • Amsterdam, 3-7 June 1996
    • Rok, V.E., 1996. Time-domain representation of waves in media with frequency power law of dispersion, Extended Abstracts EAGE 58th Conference and Technical Exhibition, Amsterdam, 3-7 June 1996, p. C008.
    • (1996) Extended Abstracts EAGE 58th Conference and Technical Exhibition
    • Rok, V.E.1
  • 36
    • 0030867045 scopus 로고    scopus 로고
    • Applications of fractional calculus to dynamic problems of linear and nor linear hereditary mechanisms of solids
    • Rossikhin, Y.A. & Shitikova, M.V., 1997. Applications of fractional calculus to dynamic problems of linear and nor linear hereditary mechanisms of solids, Appl. Mech. Rev., 50, 15-67.
    • (1997) Appl. Mech. Rev. , vol.50 , pp. 15-67
    • Rossikhin, Y.A.1    Shitikova, M.V.2
  • 37
    • 0026135818 scopus 로고
    • Burgers equation with a fractional derivative; hereditary effects on non-linear acoustic waves
    • Sugimoto, N., 1991. Burgers equation with a fractional derivative; hereditary effects on non-linear acoustic waves, J. Fluid Mech., 225, 631-653.
    • (1991) J. Fluid Mech. , vol.225 , pp. 631-653
    • Sugimoto, N.1
  • 38
    • 0022130907 scopus 로고
    • 'Generalized Burgers equation' for nonlinear viscoelastic waves
    • Sugimoto, N. & Kakutani, T., 1985. 'Generalized Burgers equation' for nonlinear viscoelastic waves, Wave Motion, 7, 447-458.
    • (1985) Wave Motion , vol.7 , pp. 447-458
    • Sugimoto, N.1    Kakutani, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.