Rock skeleton models and seismic porosity inversion
He Xi-Lei1,2, He Zhen-Hua1,2, Wang Xu-Ben1,2, Xiong Xiao-Jun2, and Jiang Lian2
1. State key laboratory of oil and gas reservoir geology and exploitation. Chengdu University of Technology, Chengdu 610059, China.
2. College of Geophysics, Chengdu University of Technology, Sichuan, Chengdu 610059, China.
Abstract By substituting rock skeleton modulus expressions into Gassmann approximate fluid equation, we obtain a seismic porosity inversion equation. However, conventional rock skeleton models and their expressions are quite different from each other, resuling in different seismic porosity inversion equations, potentially leading to difficulties in correctly applying them and evaluating their results. In response to this, a uniform relation with two adjusting parameters suitable for all rock skeleton models is established from an analysis and comparison of various conventional rock skeleton models and their expressions including the Eshelby-Walsh, Pride, Geertsma, Nur, Keys-Xu, and Krief models. By giving the two adjusting parameters specific values, different rock skeleton models with specific physical characteristics can be generated. This allows us to select the most appropriate rock skeleton model based on geological and geophysical conditions, and to develop more wise seismic porosity inversion. As an example of using this method for hydrocarbon prediction and fluid identification, we apply this improved porosity inversion, associated with rock physical data and well log data, to the ZJ basin. Research shows that the existence of an abundant hydrocarbon reservoir is dependent on a moderate porosity range, which means we can use the results of seismic porosity inversion to identify oil reservoirs and dry or water-saturated reservoirs. The seismic inversion results are closely correspond to well log porosity curves in the ZJ area, indicating that the uniform relations and inversion methods proposed in this paper are reliable and effective.
This work was supported by the National Nature Science Foundation of China (Grant No.41174114) and Important National Science and Technology Specific Projects (Grant No. 2011ZX05025-005-010).
Cite this article:
HE Xi-Lei,HE Zhen-Hua,WANG Xu-Ben et al. Rock skeleton models and seismic porosity inversion[J]. APPLIED GEOPHYSICS, 2012, 9(3): 349-358.
[1]
Anderson, J. K., 1996, Limitations of seismic inversion for porosity and fluid: Lessons from chalk reservoir characterization and exploration: 66th Ann. Internat. Mtg., Soc. Explo. Geophys., Expanded Abstracts, 309 - 312
[2]
Cai, H. P., He, Z. H., and Huang, D. J., 2011, Seismic data denoising based on mixed time-frequency methods： Applied Geophysics, 8(4), 319 - 327.
[3]
Chen, R., and Huang, T. F., 2001, Petrophysics: Peking University Press, 75 - 80.
[4]
Chen, R, Huang, T. F., and Liu, E. R., 2009, Petrophysics: China Science and Technology University Press, 83 - 88.
[5]
Chen, X. H., Yang, W., He, Z. H., Zhong, W. L., and Wen, X. T. 2012, The algorithm of 3D multi-scale volumetric curvature and its application: Applied Geophysics, 9(1), 65 - 72
[6]
Doyen, P. M., 1988, Porosity from seismic data: A geostatistical approach, Geophysics, 53(10), 1263 - 1275
[7]
Eshelby, J. D., 1957, The determination of the elastic field of an ellipsoidal indusion and related problems: Proc. Roy. London, A241, 376 - 396
[8]
Geertsma, J., and Smith, D. C., 1961, Some aspects of elastic wave propagation in fluid-saturated porous solids. Geophysics, 26(2), 169 - 181
[9]
Gurevich, B. and Galvin, J., 2007, Fluid substitution, dispersion, and attenuation in fractured and porous reservoirs-insights from new rock physics modles: The Leading Edge, 26(9), 1162 - 1168.
[10]
He, X.L., He Z.H. , Wang R.L.,Wang X. B., and Jiang L., 2011, Calculations of rock matrix modulus based on a linear regression relation: Applied Geophysics, 8(3), 155 - 162.
[11]
He, Z H, Li, Y L, Cao, J, Li, Q , 2003, Ultrasonic physical modeling under real strata temperature and pressure: Progress in Exploration Geophysics, 26(2), 84 - 87
[12]
He, Z. H., Xiong, X. J., and Bian, L., 2008, Numerical simulation low-frequency shadows and its application, Applied Geophysics, 5(4), 301 - 306.
[13]
Jiang, L., Wen, X. T., He, Z. H., and Huang, D. J., 2011, Pore structure model simulation and prediction in reef-flat reservoir: Chinese J. Geophysics, 54(6), 1624 - 1633.
[14]
Keys, R. G., Xu, S. Y., 2002, An approximation for the Xu-White velocity model: Geophysics. 67(5), 1406 - 1414.
[15]
Krief, M., Garat, J., Stellingwerff, J., and Ventre, J., 1990, A petrophysical interpretation using the velocities of P and S waves (full-waveform sonic): The log Analyst, 31, 355 - 369.
[16]
Lin, K., Xiong, X. J., Yang, X., He, Z. H., Cao, J. X., 2011, Self-adapting extraction of matrix mineral bulk modulus and verification of fluid substitution: Applied Geophysics, 8(2), 110 - 116.
Mavko, G., Mukerji, T., Dvorkin, J., 2003, The rock physics handbook-tools for seismic in porous media: Cambridge University Press.
[19]
Nur, A., 1992, Critical porosity and the seismic velocities in rocks, EOS: Transactions America Geopysical Union, 73(1), 43 - 66.
[20]
Pramalik, A. G., Singh, V., Vig, R., Srivastava, A. K., and Tiwary, D. N., 2004, Estimation of effective porosity using geostatistics and multiatribute transforms: A case study: Geophysics, 69(2), 352 - 372.
[21]
Pride, S. R, Gangi, A. F., and Morgan, F. D., 1992 ,Deriving the equations of motion for porous isotropic media: Journal of the Acoustical Society of America, 92(6), 3278 - 3290.
[22]
Russell, B. H., and Hedlin, K., 2003, Fluid-property discrimination with AVO: A Biot-Gassman prospective: Geophysics, 68(1), 29 - 39.
[23]
Walsh, J. B., 1965, The effective of cracks on the compressibility of rock: J. Geophys. Res., 20(2), 381 - 384.
[24]
Wen, X. T., He, Z. H., Huang, D. J., and Chen, X. H., 2011, Highlighting display of geological body based on directivity filtering. Applied Geophysics, 8(4), 355 - 362.
[25]
Xiong, X. J., He, X. L., Pu, Y., He, Z. H., and Lin, K., 2011, High-precision frequency attenuation analysis and its application; Applied Geophysics, 8(4), 337 - 343.
[26]
Zhang, J. J., Li, H. B., Liu, H. S., Ma, D. B., and Cui, X. F., 2010, Accuracy of dry frame models in the study of rock physics: Progress In Geophysics, 25(5), 1697 - 1702.
[27]
Zhang, Y. B.,1994, A new method for seismic porosity inversion and its application, Oil Geophysical Prospecting, 29(3), 261 - 273.
2012, Vol. 9 
