Skip to main content
Log in

Shales in the Qiongzhusi and Wufeng–Longmaxi Formations: a rock-physics model and analysis of the effective pore aspect ratio

  • Rock physics
  • Published:
Applied Geophysics Aims and scope Submit manuscript

Abstract

The shales of the Qiongzhusi Formation and Wufeng–Longmaxi Formations at Sichuan Basin and surrounding areas are presently the most important stratigraphic horizons for shale gas exploration and development in China. However, the regional characteristics of the seismic elastic properties need to be better determined. The ultrasonic velocities of shale samples were measured under dry conditions and the relations between elastic properties and petrology were systemically analyzed. The results suggest that 1) the effective porosity is positively correlated with clay content but negatively correlated with brittle minerals, 2) the dry shale matrix consists of clays, quartz, feldspars, and carbonates, and 3) organic matter and pyrite are in the pore spaces, weakly coupled with the shale matrix. Thus, by assuming that all connected pores are only present in the clay minerals and using the Gassmann substitution method to calculate the elastic effect of organic matter and pyrite in the pores, a relatively simple rock-physics model was constructed by combining the self-consistent approximation (SCA), the differential effective medium (DEM), and Gassmann’s equation. In addition, the effective pore aspect ratio was adopted from the sample averages or estimated from the carbonate content. The proposed model was used to predict the P-wave velocities and generally matched the ultrasonic measurements very well.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Backus, G. E., 1962, Long-wave elastic anisotropy produced by horizontal layering: Journal of Geophysical Research, 67(11), 4427–4440.

    Article  Google Scholar 

  • Berryman, J. G., 1980, Long-wavelength propagation in composite elastic media I. Spherical inclusions: Journal of the Acoustical Society of America, 68(6), 1809–1819.

    Article  Google Scholar 

  • Berryman, J. G., 1992, Single-scattering approximations for coefficients in Biot’s equations of poroelasticity: Journal of the Acoustical Society of America, 91(2), 551–571.

    Article  Google Scholar 

  • Budiansky, B., 1965, On the elastic moduli of some heterogeneous materials: Journal of the Mechanics and Physics of Solids, 13(4), 223–227.

    Article  Google Scholar 

  • Cheng, C. H., and Toksöz, M. N., 1979, Inversion of seismic velocities for the pore aspect ratio spectrum of a rock: Journal of Geophysical Research Atmospheres, 84(B13), 7533–7543.

    Article  Google Scholar 

  • Cleary, M. P., Chen, I. W., and Lee, S. M., 1980, Self-Consistent Techniques for Heterogeneous Media: Journal of the Engineering Mechanics Division, 106(5), 861–887.

    Google Scholar 

  • Deng, J. X., Wang, H., Zhou, H., Liu, Z. H., Song, L. T., and Wang, X. B., 2015, Microtexture, seismic rock physical properties and modeling of Longmaxi Formation shale: Chinese Journal of Geophysics (in Chinese), 58(6), 2123–2136.

    Google Scholar 

  • Deng, K. L., 1992, Formation and evolution of Sichuan Basin and domains for oil and gas exploration: Natural Gas Industry (in Chinese), 12(5), 7–12.

    Google Scholar 

  • Gassmann, F., 1951, Über die Elastizität poröser Medien: Veirteljahrsschrift der Naturforschenden Gesellschaft in Zürich, 96, 1–23.

    Google Scholar 

  • Han, T. C., Best, A. I., Macgregor, L. M., Sothcott, J. and Minshull, T. A., 2011, Joint elastic-electrical effective medium models of reservoir sandstones: Geophysical Prospecting, 59(4), 777–786.

    Article  Google Scholar 

  • Hill, R., 1965, A self-consistent mechanics of composite materials: Journal of the Mechanics and Physics of Solids, 13(4), 213–222.

    Article  Google Scholar 

  • Huang, X. R., Huang, J. P., Li, Z. C., Yang, Q. Y., Sun, Q. X. and Cui, W., 2015, Brittleness index and seismic rock physics model for anisotropic tight-oil sandstone reservoirs: Applied Geophysics, 12(1), 11–22.

    Article  Google Scholar 

  • Jia, C. Z., Zheng, M., and Zhang, Y. F., 2012, Unconventional hydrocarbon resources in China and the prospect of exploration and development: Petroleum Exploration and Development (in Chinese), 39(2), 129–136.

    Google Scholar 

  • Kuster, G. T., and Toksöz, M. N., 1974, Velocity and attenuation of seismic waves in two phase media: Part I: Theoretical formulation: Geophysics, 39(5), 587–606.

    Article  Google Scholar 

  • Li, H. B., and Zhang, J., 2010, Modulus ratio of dry rock based on differential effective-medium theory: Geophysics, 75(2), N43–N50.

    Article  Google Scholar 

  • Li, H. B., and Zhang, J., 2012, Analytical approximations of bulk and shear moduli for dry rock based on the differential effective medium theory: Geophysical Prospecting, 60(2), 281–292.

    Article  Google Scholar 

  • Li, H. B., Zhang, J., and Yao, F., 2013, Inversion of effective pore aspect ratios for porous rocks and its applications: Chinese Journal of Geophysics (in Chinese), 56(2), 608–615.

    Google Scholar 

  • Li, Z. Y., 2015, Shale gas reservoir pore structure model and the physical properties test method development: Ground Water (in Chinese), 37(1), 211–213.

    Google Scholar 

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

    Article  Google Scholar 

  • Mavko, G., Mukerji, T., and Dvorkin, J., 2009, The Rock Physics Handbook: Tools for Seismic Analysis of Porous Media (2nd Edition): Cambridge University Press, New York.

    Book  Google Scholar 

  • Mukerji, T., Berryman, J., Mavko, G., and Berge, P., 1995, Differential effective medium modeling of rock elastic moduli with critical porosity constraints: Geophysical Research Letters, 22(5), 555–558.

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Sams, M. S., and Andrea, M., 2001, The effect of clay distribution on the elastic properties of sandstones: Geophysical Prospecting, 49(1), 128–150.

    Article  Google Scholar 

  • Wang, Y., Zhu, Y. M., Chen, S. B., Zhang, X., and Zhang, J. S., 2013, Formation conditions of shale gas in Lower Cambrian Niutitang formation, northwestern Hunan: Journal of China University of Mining Technology (in Chinese), 42(4), 586–594.

    Google Scholar 

  • Wu, T. T., 1966, The effect of inclusion shape on the elastic moduli of a two-phase material: International Journal of Solids & Structures, 2(1), 1–8.

    Article  Google Scholar 

  • Xiao, Z. H., Wang, C. H., Yang, R. F., Feng T., Wang, Q. R., Huang, Y. R., Chen, X. Y., and Deng, Y., 2013, Reservoir Conditions of Shale Gas in the Lower Cambrian Niutitang Formation, Northwestern Hunan: Acta Geologica Sinica (in Chinese), 87(10), 1612–1623.

    Google Scholar 

  • Xu, S. Y., and White, R. E., 1995, A new velocity model for clay-sand mixture: Geophysical Prospecting, 43(1), 91–118.

    Article  Google Scholar 

  • Yan, X. F., Yao, F. C., Cao, H., Ba, J., Hu, L. L., and Yang, Z. F., 2011, Analyzing the mid-low porosity sandstone dry frame in central Sichuan based on effective medium theory: Applied Geophysics, 8(3), 163–170.

    Article  Google Scholar 

  • Zhang, G. Z., Li, C. C., Yin, X. Y., and Zhang, J. Q., 2012, A shear velocity estimation method for carbonate rocks based on the improved Xu-White model: Oil Geophysical Prospecting (in Chinese), 47(5), 717–722.

    Google Scholar 

  • Zhang, X. L., Li, Y. F., Lu, H. M., Yan, J. P., Tuo, J. C., and Zhang, T. W., 2013, Relationship between organic matter characteristics and depositional environment in the Silurian Longmaxi Formation in Sichuan Basin: Journal of China Coal Society (in Chinese), 38(5), 851–856.

    Google Scholar 

  • Zhong, T. X., 2012, Characteristics of pore structure of marine shales in South China: Natural Gas Industry (in Chinese), 32(9), 1–4, 21.

    Google Scholar 

  • Zhu, C., Guo, Q. X., Gong, Q. S., Liu, Z. G., Li, S. M. and Huang, G. P., 2015, Prestack forward modeling of tight reservoirs based on the Xu-White model: Applied Geophysics, 12(3), 421–431.

    Article  Google Scholar 

  • Zimmerman, R. W., 1991, Elastic moduli of a solid containing spherical inclusions: Mechanics of Materials, 12(1), 17–24.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tao He.

Additional information

This work was sponsored by the National Natural Science Foundation of China (No. 41274185 and 41676032).

Yang Zhi-Qiang received his Bachelor from Shandong University of Science and Technology in 2014. Presently, he is a Ph.D. candidate in the School of Earth and Space Sciences at Peking University. His research interests are seismic rock physics.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yang, ZQ., He, T. & Zou, CC. Shales in the Qiongzhusi and Wufeng–Longmaxi Formations: a rock-physics model and analysis of the effective pore aspect ratio. Appl. Geophys. 14, 325–336 (2017). https://doi.org/10.1007/s11770-017-0628-7

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11770-017-0628-7

Keywords

Navigation