Abstract

Author considered theoretical and practical aspects of Gassmann theory and its extensions. Generalization of laboratory measurements is proposed. Valuable examples for seismic interpretation have been presented.

Keywords

Gassmann equation, fluid substitution, laboratory measurements, seismic interpretation, rock physics, elastic moduli,

Reference

  •  1) Adam L., Batzle M., 2008, Elastic properties of carbonates from laboratory measurements at seismic and ultrasonic frequencies: The Leading Edge, 27, 8, 1026 - 1032.

  •  2) Baechle G. T. IVeger R.1., Eberli G. P., Massaferro J. L., Sun Y.-F., 2005, Changes of shear moduli in carbonate rocks: Implications for Gassmann applicability: The Leading Edge, 24, 507 - 510.

  •  3) Bayuk I., Ammerman M., Chesnokov E., 2007, Elastic moduli of anisotropic clay: Geophysics, 72, 5, D107 - D117.

  •  4) Batzle M.L., Wang Z, 1992, Seismic properties of pore fluids: Geophysics, 57, 1396 - 1408.

  •  5) Slangy J. P., 1992, Integrated seismic lithologic interpretation: The petrophysical basis: Ph. D. thesis. Stanford University.

  •  6) Biot M. A., 1962, Mechanics of deformation and acoustic propagation in porous media: Journal of Applied Physics, 33, 1482 - 1498.

  •  7) Ciz R., Shapiro S. A., 2007, Generalization of Gassmann equations for porous media saturated with a solid material: Geophysics, 72, 6, A75 - A79.

  •  8) Chi X., Elan £>., 2007, Fizz and gas reservoir discrimination by AVO inversion: SEG Annual meeting, Extended abstrac,.

  •  9) Domenico S., 1976, Effect of brine-gas mixture on velocity in an unconsolidated sand reservoir: Geophysics, 41, 882 - 894.

  •  10) Gassmann F., 1951, Fiber die Elastizitat poroser Medien: Vi-erteljahrsschrift der Naturforschende Gesellschaft, 96, 1 - 23.

  •  11) Grechka V., 2008, Fluid-solid substitution in rocks with disconnected porosity: SEG Annual Meeting, Expanded Abstracts, Las Vegas.

  •  12) Gregory A., 1976, Fluid saturation effects on dynamic elastic properties of sedimentary rocks: Geophysics, 41, 895 - 921.

  •  13) Greenberg M. L., Castagna J. P., 1992, Shear-wave velocity estimation in porous rocks: Theoretical formulation, preliminary verification and applications: Geophysical Prospecting, 40, 195 - 209.

  •  14) Han D.-H., 1986, Effects of porosity and clay content on acoustic properties ofsandstones and unconsolidated sediments: Ph. D. thesis. Stanford University.

  •  15) Han D., Batzle M., 2004, Gassmann’s equation and fluid-saturation effects on seismic velocities: Geophysics, 69, 2, 398 - 405.

  •  16) Hilterman E. J., 2001, Seismic Amplitude Interpretation: Tulsa, Soc. Expl. Geophys.

  •  17) Marion D., Nur., Yin H., Han D., 1992, Compressional velocity and porosity in sand-clay mixtures: Geophysics, 57, 4, 554 - 563.

  •  18) Marion D., Jizba D., 1997, Acoustic properties of carbonate rocks: Use in quantitative interpretation of sonic and seismic measurements: Carbonate Seismology, 6, 75 - 93.

  •  19) Mavko G., Mukerji T., Dvorkin J., 2009, The rock physics handbook: Tools for seismic analysis in porous media. 2nd edition: Cambridge Univ. Press.

  •  20) McCrank J., Lawton D., 2009, Seismic characterization of a C02 fl ood in the Ardley coals, Alberta, Canada: The Leading Edge, 28, 7, 820 - 825.

  •  21) Murphy W., 1982, Effects of microstructure and pore fluids on the acoustic properties of granular sedimentary materials: Ph.D. thesis. Stanford University.

  •  22) Rutgen B., Fabricius I. L., Japsen P., Holier C., Mavko G. and Pedersen J. M., 2005, Ultrasonic velocities of North Sea chalk samples: influence of porosity, fluid content and texture: Geophysical Prospecting, 53(4), 481 - 496.

  •  23) Russell B., Hampson D., Lines L., 2004, A case study in the local estimation ofshear-wave logs: SEG Annual Meeting, Expanded Abstracts, Denver.

  •  24) Simm R., 2007, Practical Gassmann fluid substitution in sand/ shale sequences: First break, 25, 12, 61 - 68.

  •  25) Smith T. M., Sondergeld S. H. and Rai C. S., 2003, Gassmann fluid substitutions: a tutorial: Geophysics, 68, 430 - 440.

  •  26) Wang Z, 2001, Fundamentals of seismic rock physics: Geophysics, 66, 2, 398 - 412.

  •  27) Wang Z, 2000, The gassmann equation revised: Comparing laboratory data with gassmann’s predictions: Seismic and Acoustic Velocities in Reservoir Rocks, 3, 8 - 23.

  •  28) WangZ., Nur A., 1990, Dispersion analysis of acoustic velocities in rocks: J. Acoust. Soc. Am, 87, 2384 - 2395.

  •  29) Wever A., Pacek I., Arts R., Kemper M., 2010, Application of Solid and Fluid Substitution to Salt-plugged Sandstones Using Generalized Gassmann Theory: EAGE, Extended abstract.

  •  30) Xu S., White R. £., 1995, A new velocity model for clay-sand mixtures: Geophysical Prospecting, 43, 91 - 118.

Теория Гассмана как основа количественной интерпретации сейсмических данных

Шубин А.В.

Аннотация

Рассмотрены теоретические и практические аспекты теории Гассмана и её модификаций. Проведено обобщение лабораторных измерений. Представлены примеры использования теории, значимые для сейсмической интерпретации.

Ключевые слова

уравнение Гассмана, замещение флюида, лабораторные измерения, сейсмическая интерпретация, физика горных пород, упругие модули,

Информация об авторах

Библиографическая ссылка

Шубин А.В. Теория Гассмана как основа количественной интерпретации сейсмических данных // Геофизика. 2012. № 1. С. 16-19.

Список литературы

  •  1) Adam L., Batzle М., 2008, Elastic properties of carbonates from laboratory measurements at seismic and ultrasonic frequencies: The Leading Edge, 27, 8, 1026 - 1032.

  •  2) Baechle G. T. IVeger R.1., Eberli G. P., Massaferro J. L., Sun Y.-F., 2005, Changes of shear moduli in carbonate rocks: Implications for Gassmann applicability: The Leading Edge, 24, 507 - 510.

  •  3) Bayuk I., Ammerman M., Chesnokov E., 2007, Elastic moduli of anisotropic clay: Geophysics, 72, 5, D107 - D117.

  •  4) Batzle M.L., Wang Z, 1992, Seismic properties of pore fluids: Geophysics, 57, 1396 - 1408.

  •  5) Slangy J. P., 1992, Integrated seismic lithologic interpretation: The petrophysical basis: Ph. D. thesis. Stanford University.

  •  6) Biot M. A., 1962, Mechanics of deformation and acoustic propagation in porous media: Journal of Applied Physics, 33, 1482 - 1498.

  •  7) Ciz R., Shapiro S. A., 2007, Generalization of Gassmann equations for porous media saturated with a solid material: Geophysics, 72, 6, A75 - A79.

  •  8) Chi X., Elan £>., 2007, Fizz and gas reservoir discrimination by AVO inversion: SEG Annual meeting, Extended abstrac,.

  •  9) Domenico S., 1976, Effect of brine-gas mixture on velocity in an unconsolidated sand reservoir: Geophysics, 41, 882 - 894.

  •  10) Gassmann F., 1951, Fiber die Elastizitat poroser Medien: Vi-erteljahrsschrift der Naturforschende Gesellschaft, 96, 1 - 23.

  •  11) Grechka V., 2008, Fluid-solid substitution in rocks with disconnected porosity: SEG Annual Meeting, Expanded Abstracts, Las Vegas.

  •  12) Gregory A., 1976, Fluid saturation effects on dynamic elastic properties of sedimentary rocks: Geophysics, 41, 895 - 921.

  •  13) Greenberg M. L., Castagna J. P., 1992, Shear-wave velocity estimation in porous rocks: Theoretical formulation, preliminary verification and applications: Geophysical Prospecting, 40, 195 - 209.

  •  14) Han D.-H., 1986, Effects of porosity and clay content on acoustic properties ofsandstones and unconsolidated sediments: Ph. D. thesis. Stanford University.

  •  15) Han D., Batzle M., 2004, Gassmann’s equation and fluid-saturation effects on seismic velocities: Geophysics, 69, 2, 398 - 405.

  •  16) Hilterman E. J., 2001, Seismic Amplitude Interpretation: Tulsa, Soc. Expl. Geophys.

  •  17) Marion D., Nur., Yin H., Han D., 1992, Compressional velocity and porosity in sand-clay mixtures: Geophysics, 57, 4, 554 - 563.

  •  18) Marion D., Jizba D., 1997, Acoustic properties of carbonate rocks: Use in quantitative interpretation of sonic and seismic measurements: Carbonate Seismology, 6, 75 - 93.

  •  19) Mavko G., Mukerji T., Dvorkin J., 2009, The rock physics handbook: Tools for seismic analysis in porous media. 2nd edition: Cambridge Univ. Press.

  •  20) McCrank J., Lawton D., 2009, Seismic characterization of a C02 fl ood in the Ardley coals, Alberta, Canada: The Leading Edge, 28, 7, 820 - 825.

  •  21) Murphy W., 1982, Effects of microstructure and pore fluids on the acoustic properties of granular sedimentary materials: Ph.D. thesis. Stanford University.

  •  22) Rutgen B., Fabricius I. L., Japsen P., Holier C., Mavko G. and Pedersen J. M., 2005, Ultrasonic velocities of North Sea chalk samples: influence of porosity, fluid content and texture: Geophysical Prospecting, 53(4), 481 - 496.

  •  23) Russell B., Hampson D., Lines L., 2004, A case study in the local estimation ofshear-wave logs: SEG Annual Meeting, Expanded Abstracts, Denver.

  •  24) Simm R., 2007, Practical Gassmann fluid substitution in sand/ shale sequences: First break, 25, 12, 61 - 68.

  •  25) Smith T. M., Sondergeld С. H. and Rai C. S., 2003, Gassmann fluid substitutions: a tutorial: Geophysics, 68, 430 - 440.

  •  26) Wang Z, 2001, Fundamentals of seismic rock physics: Geophysics, 66, 2, 398 - 412.

  •  27) Wang Z, 2000, The gassmann equation revised: Comparing laboratory data with gassmann’s predictions: Seismic and Acoustic Velocities in Reservoir Rocks, 3, 8 - 23.

  •  28) WangZ., Nur A., 1990, Dispersion analysis of acoustic velocities in rocks: J. Acoust. Soc. Am, 87, 2384 - 2395.

  •  29) Wever A., Pacek I., Arts R., Kemper M., 2010, Application of Solid and Fluid Substitution to Salt-plugged Sandstones Using Generalized Gassmann Theory: EAGE, Extended abstract.

  •  30) Xu S., White R. £., 1995, A new velocity model for clay-sand mixtures: Geophysical Prospecting, 43, 91 - 118.