Application of catastrophe theory to fracability evaluation of deep shale reservoir
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Fracability evaluation is one of the great challenges during the shale gas development, which has become a hotspot for the exploration of unconventional oil and gas. Although much research work was conducted and some evaluation models were developed, most of them could not be applied to practical engineering operations for deep shale gas development. In this paper, a multi-level sub-system was developed based on the analytic hierarchy process, and then, a catastrophe evaluation model, avoiding over-subjective in defining the weighting coefficient of factors, was proposed to evaluate deep shale reservoirs’ fracability by using the catastrophe theory. Finally, the model was verified by using engineering data in five deep shale gas wells. The analytic results showed that the calculated results of the catastrophe evaluation model are in good agreement with the facts compared with the analytic hierarchy process. Moreover, the general expression for the potential function and its normalization formula of the common catastrophe model with arbitrary dimensions could also be derived recursively to meet practical applications. Therefore, the catastrophe evaluation model was simple and suitable for the wide application, which provides new sights for the pre-fracturing prediction and post-fracturing evaluation during deep shale reservoirs development.
KeywordsDeep shale reservoir Catastrophe theory Analytic hierarchy process (AHP) Weighting coefficient Multi-level sub-system
The work of this paper has been supported by the National Natural Science Foundation of China (No.51674272), the National Science and Technology Major projects of China (No.2017ZX05009-003), and the key project of jointly funded by the National Natural Science Foundation of China (No. U1762211). At the same time, I am very grateful for the support of CNPC Engineering Technology R&D Company Limited and the authors of the references in this article. If you have any problems, I am pleased to welcome e-feedback to firstname.lastname@example.org.
- Burrough P, McDonnell RA (1998) Principles of geographical information systems. Oxford University Press, New YorkGoogle Scholar
- Fang C, Amro M (2014) Influence factors of fracability in nonmarine shale. SPE/EAGE European Unconventional Resources Conference and Exhibition, Vienna, Austria 25–27 February 2014. https://doi.org/10.2118/167803-MS
- Li Z, Guo C, Wang J, Li Y (2010) Generalized expression of potential function in catastrophe model and its application in eutrophication evaluation. Adv Water Sci 21:101–106. (In Chinese with English abstract). https://doi.org/10.1002/(SICI)1096-9071(199909)59:13.0.CO;2-A CrossRefGoogle Scholar
- Meng Y, Li X, Jiang M, Feng D, Zhang T, Zhang Z (2018) Experimental research on three dimensional flow characteristics of multiple horizontal fractures utilizing an innovative experiment apparatus. Arab J Geosci 11(243). https://doi.org/10.1007/s12517-018-3589-0
- Sima L, Wen D, Yan J, Tan M, Deng H (2015) Fracturing hierarchy analysis and fracturing height prediction method in shale reservoirs. Well Logging Technol 39(5):622–639. (In Chinese with English abstract). https://doi.org/10.16489/j.issn.1004-1338.2015.05.17 CrossRefGoogle Scholar
- Tang Y, Xing Y, Li L (2012) Influence factors and evaluation methods of the gas shale fracability. Earth Sci Front 19:356–363 (In Chinese with English abstract)Google Scholar
- Thom R (1972) Stabilité structurelle et morphogénèse. Benjamin, New York (English version by D. H. Fowler (1975) Structural stability and morphogenesys. Addison Wesley, New York)Google Scholar
- Zhao T, Li X, Ning Z, Zhao H, Zhang J, Zhao W (2018) Pore structure and adsorption behavior of shale gas reservoir with influence of maturity: a case study of Lower Silurian Longmaxi formation in China. Arab J Geosci 11(353). https://doi.org/10.1007/s12517-018-3673-5