Reference

  •  1) Fizicheskie svoystva gornyh porod i poleznyh iskopaemyh (petrofizika). Spravochnik geofizika, pod red. Dorman N. B.: M., Nedra, 1984.

  •  2) Avellaneda M., 1987, Iterated homogenization, differential effective medium theory and applications: Comm. Pure Appl. Math, 40, 527 - 554.

  •  3) Berge P. A., Berryman J. G, Bonner V. P., 1993, Influence of microstructure on rock elastic properties: Geph. Res. Lett, 20, 2619 -2622.

  •  4) Berryman J. G. 1980, Long wavelength propagation in composite elastic media: J. Acoust. Soc. Amer., 68. 6, 1809 - 1831.

  •  5) Berryman J. G., 1992, Single-scattering approximations for coefficients in Biot’s equations of poroelasticity: J. Acoust. Soc. Ant., 91, 551 - 571.

  •  6) Biot M. A. 1962. Mechanics of deformation and acoustic propagation in porous media. J.App.Phys., 33, 4, 1482 - 1498.

  •  7) Biot M. A., Willis D. G., 1957. The elastic coefficients of the theory of consolidation: J. Appl. Mech., 29, 594 - 601.

  •  8) Gist G. A. Thompson A. H. Katz A. J., Berry M. J. 1993, Wave velocities in sandstones from elastic network simulations: Geophysics, 58, 3. 334 - 343.

  •  9) Han D., Nur A., Morgan D., 1986, Effect of porosity and clay content on wave velocities in sandstones: Geophysics, 51, 2093 -2107.

  •  10) Hornby V. E., Shwartz L. M., Hudson J. A., 1994, Anisotropoc effective-medium modeling of elastic properties of shales: Geophysics, 59, 10, 1570 - 1583.

  •  11) KenterJ., Podladchikov F., Reinders M., Van der Gaast S., Fouke B., Sonnenfeld M., 1998, Parameters controlling sonic velocities in a mixed carbonate - siliclasticas Permian shelf - margin (upper San Andres formation, Last Change Canyon, New Mexico): Geophysics, 62, 2, 505 - 520.

  •  12) KriefM., Garat J., Stellingweiff J., Ventre J., 1990, A petrophysical interpretation using the velocities of P and S waves (full - waveform sonic): The Log Analist, 31, 6, 355 - 370.

  •  13) Kuster G., Toksu,z N., 1974, Velocity and attenuation of seismic waves in two-phase media: I. Theoretical formulations: Geophysics, 39, 587 - 606.

  •  14) Mavko G., Mukeri T., Dvorkin J., 1998., The rock physics handbook. Tools for seismic analysis in porous media: Cambridge university press.

  •  15) Nemat - Nasser S., Hori M., 1993, Micromechanics: Overall Properties of Heterogeneous Materials: Norht-Holland-Amsterdam.

  •  16) Norris A. A., 1985, differential scheme for the effective moduli of composites. Mechanics of Materials, 4, 1, 1 - 16.

  •  17) O’Connell R.J., Budiansky B., 1974, Seismic velocities in dry and saturated cracked solids: J. Geoph. Res., 79, 5412 - 5426.

  •  18) Pantjuhin V. A., Velizhanin V. A., Yumatow A. Yu. and Zhuravlew V. K., 1991, Computer Modelling of Log Responses of Electrik, Radioactive and Acoustic Sondes based on the Unique Physical Rock Model Transactions of the 14th European Formation Evaluation Symposium SPWLA: London, Y.

  •  19) Raymer L. L.; Hunt E. R. Gardner J. S., 1980, An improved sonic transit time to porosity transform. Trans. Soc. Prof. Well Log Analysts, 21s1 Ann. Logg. Symp., Paper P.

  •  20) Sheng P., 1991, Consistent modeling of the electrical and elastic properties of sedimentary rocks: Geohysics, 56, 12, 1236 - 1243.

  •  21) Wu T. T., 1966, The effect on inclusion shape on the elastic moduli of a two - phase material: Int. J. Solids Str., 2, 1, 1 - 8.

  •  22) Xu S., White R., 1995, Rogo-elasticity of clastic rocks: a unified model: SPWLA, 36Ih Ann.Log.Symp., paper V.

Анализ моделей для расчета упругих характеристик сцементированных осадочных пород

Марков М.Г. Казаченко Е.Д.

Аннотация

В статье Е. Д. Казаченко и М. Г. Маркова проведен анализ моделей среды, используемых при расчетах упругих характеристик сцементированных осадочных пород.

Финансирование

Работа выполнена в рамках проекта “Характеристика трещиноватых формаций по данным акустического и электромагнитного каротажа ” в программе “Исследования трещиноватых месторождений ” Мексиканского института нефти.

Информация об авторах

Библиографическая ссылка

Марков М.Г. Казаченко Е.Д. Анализ моделей для расчета упругих характеристик сцементированных осадочных пород // Геофизика. 2003. № 1. С. 32-40.

Список литературы

  •  1) Физические свойства горных пород и полезных ископаемых (петрофизика). Справочник геофизика, под ред. Дорман Н. Б.: М., Недра, 1984.

  •  2) Avellaneda М., 1987, Iterated homogenization, differential effective medium theory and applications: Comm. Pure Appl. Math, 40, 527 - 554.

  •  3) Berge P. A., Berryman J. G, Bonner В. P., 1993, Influence of microstructure on rock elastic properties: Geph. Res. Lett, 20, 2619 -2622.

  •  4) Berryman J. G. 1980, Long wavelength propagation in composite elastic media: J. Acoust. Soc. Amer., 68. 6, 1809 - 1831.

  •  5) Berryman J. G., 1992, Single-scattering approximations for coefficients in Biot’s equations of poroelasticity: J. Acoust. Soc. Ant., 91, 551 - 571.

  •  6) Biot M. A. 1962. Mechanics of deformation and acoustic propagation in porous media. J.App.Phys., 33, 4, 1482 - 1498.

  •  7) Biot M. A., Willis D. G., 1957. The elastic coefficients of the theory of consolidation: J. Appl. Mech., 29, 594 - 601.

  •  8) Gist G. A. Thompson A. H. Katz A. J., Berry M. J. 1993, Wave velocities in sandstones from elastic network simulations: Geophysics, 58, 3. 334 - 343.

  •  9) Han D., Nur A., Morgan D., 1986, Effect of porosity and clay content on wave velocities in sandstones: Geophysics, 51, 2093 -2107.

  •  10) Hornby В. E., Shwartz L. M., Hudson J. A., 1994, Anisotropoc effective-medium modeling of elastic properties of shales: Geophysics, 59, 10, 1570 - 1583.

  •  11) KenterJ., Podladchikov F., Reinders M., Van der Gaast S., Fouke B., Sonnenfeld M., 1998, Parameters controlling sonic velocities in a mixed carbonate - siliclasticas Permian shelf - margin (upper San Andres formation, Last Change Canyon, New Mexico): Geophysics, 62, 2, 505 - 520.

  •  12) KriefM., Garat J., Stellingweiff J., Ventre J., 1990, A petrophysical interpretation using the velocities of P and S waves (full - waveform sonic): The Log Analist, 31, 6, 355 - 370.

  •  13) Kuster G., Toksu,z N., 1974, Velocity and attenuation of seismic waves in two-phase media: I. Theoretical formulations: Geophysics, 39, 587 - 606.

  •  14) Mavko G., Mukeri T., Dvorkin J., 1998., The rock physics handbook. Tools for seismic analysis in porous media: Cambridge university press.

  •  15) Nemat - Nasser S., Hori M., 1993, Micromechanics: Overall Properties of Heterogeneous Materials: Norht-Holland-Amsterdam.

  •  16) Norris A. A., 1985, differential scheme for the effective moduli of composites. Mechanics of Materials, 4, 1, 1 - 16.

  •  17) O’Connell R.J., Budiansky B., 1974, Seismic velocities in dry and saturated cracked solids: J. Geoph. Res., 79, 5412 - 5426.

  •  18) Pantjuhin V. A., Velizhanin V. A., Yumatow A. Yu. and Zhuravlew В. K., 1991, Computer Modelling of Log Responses of Electrik, Radioactive and Acoustic Sondes based on the Unique Physical Rock Model Transactions of the 14th European Formation Evaluation Symposium SPWLA: London, Y.

  •  19) Raymer L. L.; Hunt E. R. Gardner J. S., 1980, An improved sonic transit time to porosity transform. Trans. Soc. Prof. Well Log Analysts, 21s1 Ann. Logg. Symp., Paper P.

  •  20) Sheng P., 1991, Consistent modeling of the electrical and elastic properties of sedimentary rocks: Geohysics, 56, 12, 1236 - 1243.

  •  21) Wu T. T., 1966, The effect on inclusion shape on the elastic moduli of a two - phase material: Int. J. Solids Str., 2, 1, 1 - 8.

  •  22) Xu S., White R., 1995, Рого-elasticity of clastic rocks: a unified model: SPWLA, 36Ih Ann.Log.Symp., paper V.