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Probabilistic Fisher discriminant analysis based on Gaussian mixture model for estimating shale oil sweet spots

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Abstract

The delineation of shale oil sweet spots is a crucial step in the exploration of shale oil reservoirs. A single attribute such as total organic carbon (TOC) is conventionally used to evaluate the sweet spots of shale oil. This study proposes a probabilistic Fisher discriminant approach for estimating shale oil sweet spots, in which the probabilistic method and Gaussian mixture model are incorporated. Statistical features of shale oil facies are obtained based on the well log interpretation of the samples. Several key parameters of shale oil are projected to data sets with low dimensions in each shale oil facies. Furthermore, the posterior distribution of different shale oil facies is built based on the classification of each shale oil facies. Various key physical parameters of shale oil facies are inversed by the Bayesian method, and important elastic properties are extracted from the elastic impedance inversion (EVA-DSVD method). The method proposed in this paper has been successfully used to delineate the sweet spots of shale oil reservoirs with multiple attributes from the real pre-stack seismic data sets and is validated by the well log data.

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References

  • AbuZeina D, Al-Anzi F S (2018). Employing fisher discriminant analysis for Arabic text classification. Comput Electr Eng, 66: 474–486

    Article  Google Scholar 

  • Bao Y S, Zhang L Y, Zhang J G, Li J Y, Li Z (2016). Factors influencing mobility of Paleogene shale oil in Dongying Sag, Bohai Bay Basin. Oil & Gas Geo, 37(3): 408–414

    Google Scholar 

  • Chen S, Zhao W Z, Zeng Q C, Yang Q, He P, Gai S H, Deng Y (2018). Quantitative prediction of total organic carbon content in shale-gas reservoirs using seismic data: a case study from the Lower Silurian Longmaxi Formation in the Chang Ning gas field of the Sichuan Basin, China. Interpretation (Tulsa), 6(4): SN153–SN168

    Article  Google Scholar 

  • Chen J Q, Pang X Q, Wang X L, Wang Y X (2020). A new method for assessing tight oil, with application to the Lucaogou Formation in the Jimusaer depression, Junggar Basin, China. AAPG Bull, 104(6): 1199–1229

    Article  Google Scholar 

  • Connolly P (1999). Elastic impedance. Leading Edge (Tulsa Okla), 18(4): 438–452

    Article  Google Scholar 

  • Espitalie J, Laporte J L, Madec M, Marquis F, Leplat P, Paulet J, Boutefeu A (1977a). Rapid method for source rock characterization and for determination of their petroleum potential and degree of evolution. Oil & Gas Sci Techn Revue, 32(1): 23–42

    Google Scholar 

  • Fisher R A (1936). The use of multiple measurements in taxonomic problems. Annals of Eugenics, 7: 179–188

    Article  Google Scholar 

  • Foley D H, Sammon J W (1975). An optimal set of discriminant vectors. IEEE Trans Comput, C-24(3): 281–289

    Article  Google Scholar 

  • Gorynski K E, Tobey M, Enriquez D, Smagala T, Dreger J, Newhart R (2019). Quantification and characterization of hydrocarbon-filled porosity in oil-rich shales using integrated thermal extraction, pyrolysis, and solvent extraction. AAPG Bull, 103(3): 723–744

    Article  Google Scholar 

  • Grana D, Della Rossa E (2010). Probabilistic petrophysical-properties estimation integrating statistical rock physics with seismic inversion. Geophys, 75(3): O21–O37

    Article  Google Scholar 

  • Grana D, Fjeldstad T, Omre H (2017). Bayesian Gaussian mixture linear inversion for geophysical inverse problems. Math Geosci, 49(4): 493–515

    Article  Google Scholar 

  • Guo R Y, Bai Y Q, Li C N, Shao Y H, Ye Y F, Jiang C Z (2021). Reverse nearest neighbors Bhattacharyya bound linear discriminant analysis for multimodal classification. Eng Appl Artif Intell, 97: 104033

    Article  Google Scholar 

  • Hu R, Vernik L, Nayvelt L, Dicman A (2015). Seismic inversion for organic richness and fracture gradient in unconventional reservoirs: Eagle Ford Shale, Texas. Leading Edge (Tulsa Okla), 34(1): 80–84

    Article  Google Scholar 

  • Huang R Z (1984). A model for predicting formation fracture pressure. J China U Petrol (Natural Science), 8: 335–347

    Google Scholar 

  • Jiang C R, Chen L H (2020). Filtering-based approaches for functional data classification. Wiley Interdiscip Rev Comput Stat, 12(4): 1–15

    Article  Google Scholar 

  • Jarvie D M (2012). Shale resource systems for oil and gas: part 2—shale-oil resource systems. AAPG Mem, 97: 89–119

    Google Scholar 

  • Luo K, Zong Z Y (2020). Pyrolysis S1 discrimination of shale gas with Pre-stack seismic inversion. In: Annual Meeting of Chinese geoscience union 2020, Bei**g

  • Li K, Yin X Y, Zong Z Y (2020). Facies-constrained pre-stack seismic probabilistic inversion driven by rock physics. Scientia Sinica Terrae, 50(6): 832–850

    Google Scholar 

  • Luo K, Zong Z Y (2019). Sweet spots discrimination of shale gas with Pre-stack seismic inversion. In: Annual Meeting of Chinese Geoscience Union 2019, Bei**g, 53: 29–31

  • Ma L, Lin Z L, Hu H F, Zhou D (2020). Seismic prediction method of fracture pressure in a shale formation. In: SEG International Exposition and 90th Annual Meeting, 1068–1072

  • Ouadfeul S, Aliouane L (2016). Total organic carbon estimation in shale-gas reservoirs using seismic genetic inversion with an example from the Barnett Shale. Leading Edge (Tulsa Okla), 35(9): 790–794

    Article  Google Scholar 

  • Ogiesoba O, Hammes U (2014). Seismic-attribute identification of brittle and TOC-rich zones within the Eagle Ford Shale, Dimmit County, South Texas. J Pet Explor Prod Technol, 4(2): 133–151

    Article  Google Scholar 

  • Raji M, Gröcke D R, Greenwell C, Cornford C (2015). Pyrolysis, porosity and productivity in unconventional mudstone reservoirs: free and adsorbed oil. In: Unconventional Resources Technology Conference, 11: 270–279

  • Rickman R, Mullen M J, Petre J E, Grieser W V, Kundert D (2008). A practical use of shale petrophysics for stimulation design optimization: all shale plays are not clones of the Barnett Shale. In: SPE Technical Conference and Exhibition

  • Rao C R (1948). The utilization of multiple measurements in problems of biological classification. J R Stat Soc B, 10(2): 159–193

    Google Scholar 

  • Sena A, Castillo G, Chesser K, Voisey S, Estrada J, Carcuz J, Carmona E, Hodgkins P (2011). Seismic reservoir characterization in resource shale plays: “sweet spot” discrimination and optimization of horizontal well placement. In: 81st Annual International Meeting, SEG, Expanded Abstracts, 1744–1748.

  • Song G Z, Lin Y, Lu S F (2013). Resource evaluation method for shale oil and its application. Earth Sci Front, 20(4): 221–228

    Google Scholar 

  • Verma S, Zhao T, Marfurt K J, Devegowda D (2016). Estimation of total organic carbon and brittleness volume. Interpretation (Tulsa), 4(3): T373–T385

    Article  Google Scholar 

  • Wang H J (2017). Prediction of geological dessert in shale gas with pre-stack seismic inversion. Dissertation for the Master’s Degree. Qingdao: China University of Petroleum (East China)

    Google Scholar 

  • Wu L, Shen C H, Hengel A (2017). Deep linear discriminant analysis on fisher networks: a hybrid architecture for person re-identification. Pattern Recognit, 65: 238–250

    Article  Google Scholar 

  • Wang S, Feng Q, Javadpour F, **a T, Li Z (2015). Oil adsorption in shale nanopores and its effect on recoverable oil-in-place. Int J Coal Geol, 147–148: 9–24

    Article  Google Scholar 

  • Wang H, Yan S C, Xu D, Tang X O, Huang T (2007). Trace ratio vs. ratio trace for dimensionality reduction. In: Proceedings of the Conference on Computer Vision and Pattern Recognition. Minneapolis, USA: IEEE, 1–8

    Google Scholar 

  • Wang Z, Ruan Q, An G (2016). Facial expression recognition using sparse local Fisher discriminant analysis. Neurocomputing, 174: 756–766

    Article  Google Scholar 

  • Yin X Y, Cui W, Zong Z Y, Liu X J (2014). Petrophysical property inversion of reservoirs based on elastic impedance. Chinese J Geophys, 57(12): 4132–4140

    Google Scholar 

  • Yu J Q, Yu Z Q, Mao Z Q, Gao G, Luo K, Lei T, Zong Z Y (2020). Prediction of total organic carbon content in source rock of continental shale oil using pre-stack inversion. Geophys Prospect Petrol, 59(5): 823–830

    Google Scholar 

  • Yin X Y, Zong Z Y, Wu G C (2015). Research on seismic fluid identification driven by rock physics. Sci China Earth Sci, 58(2): 159–171

    Article  Google Scholar 

  • Yin X Y, Yuan S H, Zhang F C (2004). Rock elastic parameters calculated from elastic impedance. CPS/SEG Technical Program Expanded Abstracts

  • Zong Z Y, Yin X Y, Wu G C (2013). Elastic impedance parameterization and inversion with Young’s modulus and Poisson’s ratio. Geophysics, 78(6): N35–N42

    Article  Google Scholar 

  • Zong Z Y, Yin X Y, Zhang F, Wu G C (2012a). Reflection coefficient and pre-stack seismic inversion with Young’s modulus and Poisson’s ratio. Chinese J Geophys, 55(11): 3786–3794

    Google Scholar 

  • Zong Z Y, Yin X Y, Wu G C (2012b). Pre-stack inversion for rock brittleness indicator in gas shale. In: Annual meeting of Chinese Geoscience Union 2012. Bei**g, 17: 495

Download references

Acknowledgements

We would like to acknowledge the sponsorship of the National Natural Science Foundation of China (Grant Nos. 41974119 and 42030103) and Science Foundation from Innovation and Technology Support Program for Young Scientists in Colleges of Shandong Province and Ministry of Science and Technology of China.

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Correspondence to Zhaoyun Zong.

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Luo, K., Zong, Z. Probabilistic Fisher discriminant analysis based on Gaussian mixture model for estimating shale oil sweet spots. Front. Earth Sci. 16, 557–567 (2022). https://doi.org/10.1007/s11707-021-0926-5

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  • DOI: https://doi.org/10.1007/s11707-021-0926-5

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