Abstract
Amplitude variations with offset or incident angle (AVO/AVA) inversion are typically combined with statistical methods, such as Bayesian inference or deterministic inversion. We propose a joint elastic inversion method in the time and frequency domain based on Bayesian inversion theory to improve the resolution of the estimated P- and S-wave velocities and density. We initially construct the objective function using Bayesian inference by combining seismic data in the time and frequency domain. We use Cauchy and Gaussian probability distribution density functions to obtain the prior information for the model parameters and the likelihood function, respectively. We estimate the elastic parameters by solving the initial objective function with added model constraints to improve the inversion robustness. The results of the synthetic data suggest that the frequency spectra of the estimated parameters are wider than those obtained with conventional elastic inversion in the time domain. In addition, the proposed inversion approach offers stronger antinoising compared to the inversion approach in the frequency domain. Furthermore, results from synthetic examples with added Gaussian noise demonstrate the robustness of the proposed approach. From the real data, we infer that more model parameter details can be reproduced with the proposed joint elastic inversion.
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References
Aki, K., and Richards, P. G., 1980, Quantitative seismology: Theory and Methods, vol. 1&2. W. H. Freeman & Co., San Francisco USA.
Alemie, W., and Sacchi, M. D., 2011, High-resolution threeterm AVO inversion by means of a Trivariate Cauchy probability distribution: Geophysics, 76, R43–R55.
Beretta, M. M., Bernasconi, G., and Drufuca, G., 2002, AVO and AVA inversion for fractured reservoir characterization: Geophysics, 67, 300–306.
Blangy, J. P., 1994, AVO in transversely Isotropic media— An overview: Geophysics, 59, 775–781.
Bodin, T., Leiva, J., Romanowicz, B., and Yuan, H., 2016, Imaging anisotropic layering with Bayesian inversion of mMultiple data types: Geophysical Journal International, 605–629.
Buland, A., and Omre, H., 2003, Bayesian linearized AVO inversion: Geophysics, 68, 185–198.
Burnett, R. C., 1990, Seismic amplitude anomalies and AVO analyses at Mestena Grande Field, Jim Hogg Co., Texas: Geophysics, 55, 1015–1025.
Chai, X, Wang, S., Wei, J., et al., 2016, Reflectivity inversion for attenuated seismic data: Physical modeling and field data experiments: Geophysics, 81, T11–T24.
Daubechies, I., DeVore, R., and Fornasier, M., 2010, Iteratively reweighted least squares minimization for sparse recovery: Communications on Pure and Applied Mathematics, 63, 1–38.
Downton, J. E., 2005, Seismic parameter estimation from AVO inversion: PhD thesis, University of Calgary.
Grion, S., Mazzotti, A., and Spagnolini, U., 1998, Joint estimation of AVO and kinematic parameters: Geophysical Prospecting, 46, 405–422.
Guo, R., and Wang, S., 2012, A spectral method for reflectivity estimation: Journal of Geophysics and Engineering, 9, 681–690.
Hu, G., Liu, Y., Wei, X., and Chen, S., 2011, Joint PP and PS AVO inversion based on Bayes theorem: Applied Geophysics, 8, 293–302.
Kurt, H., 2007, Joint inversion of AVA data for elastic parameters by bootstrapping: Computers & Geosciences, 33, 367–382.
Landro, M., 1999, Discrimination between pressure and fluid saturation changes from time lapse seismic data: 69th Ann: Internat. Mtg., Soc. Expl. Geophys, Expanded Abstracts, 1651–1654.
Lavaud, B., Kabir, N., and Chavent, G., 1999, Pushing AVO inversion beyond linearized approximation: Journal of Seismic Exploration, 8, 279–302.
Li, J., 2012, Gas reservoir identification by seismic AVO attributes on fluid substitution: Applied Geophysics, 9, 139–148.
Liu, C., Li, B., Zhao, X., et al., 2014, Fluid identification based on frequency-dependent AVO attribute inversion in multi-scale fracture media: Applied Geophysics, 11, 384–394.
Ma, J., and Morozov, I. B., 2007, Structure of the Wollaston Lake Reflector (Trans-Hudson Orogen, Canada) from reflection AVO analysis: Fractured diabase intrusion, fluids, or silicified shear zone?: Tectonophysics, 441, 97–114.
Martin, J., and Kolbjornsen, O., 2016, A Gaussian-based framework for local Bayesian inversion of geophysical data to rock properties: Geophysics, 81, R75–R87.
Minato, S., and Ghose, R., 2016, AVO inversion for a nonwelded interface: estimating compliances of a fluid-filled fracture: Geophysical Journal International, 206, 56–62.
Ostrander, W. J., 1984, Plane-wave reflection coefficients for gas sands at nonnormal angles of incidence: Geophysics, 49, 1637–1648.
Rabben, T. E., Tjelmeland, H., and Ursin, B., 2008, Nonlinear bayesian joint inversion of seismic reflection coefficients: Geophysical journal international, 173, 265–280.
Russell, B. H., Gray, D., and Hampson, D. P., 2011, Linearized AVO and poroelasticity: Geophysics, 76, C19–C29.
Symes, W. W., 2009, The seismic reflection inverse problem: Inverse Problems, 25(12), 2056–2075.
Tarantola, A., 2005, Inverse problem theory and methods for model parameter estimation: Society for Industrial Mathematics, American, 1–25.
Tura, A., and Lumley, D. E., 1998, Subsurface fluid flow properties from time-lapse elastic wave reflection data: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, International Society for Optics and Photonics, 125–138.
Ursin, B., and Tjäland, E., 1996, The information content of the elastic reflection matrix: Geophysical Journal International, 125, 214–228.
Wu, X., Chapman, M., and Li, X. Y., 2014, Estimating seismic dispersion from prestack data using frequencydependent AVO analysis: Journal of Seismic Exploration, 23, 219–239.
Yi, B. Y., Lee, G. H., Horozal, S., Yoo, D. G., Ryu, B. J., Kang, N. K., Lee, S. R., and Kim, H. J., 2011, Qualitative assessment of gas hydrate and gas concentrations from the AVO characteristics of the BSR in the Ulleung Basin, East Sea (Japan Sea): Marine and Petroleum Geology, 28, 1953–1966.
Yin, X., Zong, Z., and Wu, G., 2015, Research on seismic fluid identification driven by rock physics: Science China Earth Sciences, 58, 159–171.
Zong, Z., Yin, X., and Wu, G., 2012, Elastic impedance variation with angle inversion for elastic parameters: Journal of Geophysics and Engineering, 9, 247.
Zong, Z., Yin, X., and Wu, G., 2013a, Elastic impedance parameterization and inversion with Young’s modulus and Poisson’s ratio: Geophysics, 78, N35–N42.
Zong, Z., Yin, X., and Wu, G., 2013b, Multi-parameter nonlinear inversion with exact reflection coefficient equation: Journal of Applied Geophysics, 98, 21–32.
Zong, Z., Yin, X., and Wu, G., 2015, Geofluid discrimination incorporating poroelasticity and seismic reflection inversion: Surveys in Geophysics, 36, 659–681.
Acknowledgments
We acknowledge constructive comments from Prof. Ba Jing, Prof. Li Hongbing, Prof. Wang Yibo and Prof. Geng Jianhua.
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This work was supported by the National Nature Science Foundation Project (Nos. 41604101 and U1562215), the National Grand Project for Science and Technology (No. 2016ZX05024-004), the Natural Science Foundation of Shandong (No. BS2014NJ005), Science Foundation from SINOPEC Key Laboratory of Geophysics (No. 33550006-15-FW2099-0027) and the Fundamental Research Funds for the Central Universities.
Zong Zhao-Yun received his Ph.D. in 2013 from China University and Petroleum. He is presently an associate professor in the Department of School of Geosciences, China University and Petroleum. His main interests are reservoir geophysics.
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Zong, ZY., Yin, XY. & Li, K. Joint AVO inversion in the time and frequency domain with Bayesian interference. Appl. Geophys. 13, 631–640 (2016). https://doi.org/10.1007/s11770-016-0584-7
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DOI: https://doi.org/10.1007/s11770-016-0584-7