Abstract
Subsurface nuclear magnetic resonance (NMR) logs acquired in the wellbore environment are sensitive to fluid-filled pore size distribution, fluid mobility, permeability, and porosity in the near-wellbore reservoir volume. NMR response of a formation layer is processed to extract the T2 distribution, which approximates the fluid-filled pore size distribution. NMR logs are acquired in limited number of wells due to financial and operational challenges, which adversely affects reservoir characterization. We developed two neural-network-based machine learning techniques, long short-term memory (LSTM) network and variational autoencoder with a convolutional layer (VAEc) network, to process the ‘easy-to-acquire’ formation mineral and fluid saturation logs to generate synthetic NMR T2 distributions in the absence of ‘hard-to-acquire’ NMR T2 distribution log. Both the predictive models are trained and tested on limited wireline log measurements randomly selected from a 300-ft depth interval of the Bakken shale formation. Synthesis performances of LSTM and VAEc models in terms of R2 are 0.78 and 0.75, respectively. Noise is inevitable in logging data due to the complex wellbore and formation conditions. Notably, both the predictive models robustly synthesize the fluid-filled pore size distributions in the presence of 50% noise in input logs and 30% noise in training T2 data. The performance of the proposed methodology improves with access to larger volume of training data from other formation types. The proposed method is critical to the synthesis of in situ fluid-filled pore size distributions in shale formations under data constraints due to financial and operational challenges.
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References
Vinyals O, Toshev A, Bengio S, Erhan D (2015) Show and tell: a neural image caption generator. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 3156–3164
Aizenberg I, Sheremetov L, Villa-Vargas L, Martinez-Muñoz J (2016) Multilayer neural network with multi-valued neurons in time series forecasting of oil production. Neurocomputing 175:980–989
Cao Q, Banerjee R, Gupta S, Li J, Zhou W, Jeyachandra B (2016) Data driven production forecasting using machine learning. In: SPE Argentina Exploration and Production of Unconventional Resources Symposium. Society of Petroleum Engineers
He J, Misra S, Li H (2018) Comparative study of shallow learning models for generating compressional and shear traveltime logs. Petrophysics 59(06):826–840
Alajmi MN, Ertekin T (2007) The development of an artificial neural network as a pressure transient analysis tool for applications in double-porosity reservoirs. In: Asia Pacific oil and gas conference and exhibition. Society of Petroleum Engineers
AlMaraghi AM, El-Banbi AH (2015) Automatic reservoir model identification using artificial neural networks in pressure transient analysis. In: SPE North Africa technical conference and exhibition. Society of Petroleum Engineers
Shahkarami A, Mohaghegh SD, Gholami V, Haghighat SA (2014) Artificial intelligence (AI) assisted history matching. In: SPE Western North American and Rocky Mountain Joint Meeting. Society of Petroleum Engineers
Mohaghegh S, Richardson M, Ameri S (1998) Virtual magnetic imaging logs: generation of synthetic MRI logs from conventional well logs
Jamshidian M, Hadian M, Zadeh MM, Kazempoor Z, Bazargan P, Salehi H (2015) Prediction of free flowing porosity and permeability based on conventional well logging data using artificial neural networks optimized by imperialist competitive algorithm—a case study in the South Pars gas field. J Nat Gas Sci Eng 24:89–98. https://doi.org/10.1016/j.jngse.2015.02.026
Labani MM, Kadkhodaie-Ilkhchi A, Salahshoor K (2010) Estimation of NMR log parameters from conventional well log data using a committee machine with intelligent systems: a case study from the Iranian part of the South Pars gas field, Persian Gulf Basin. J Petrol Sci Eng 72(1):175–185
Golsanami N, Kadkhodaie-Ilkhchi A, Sharghi Y, Zeinali M (2014) Estimating NMR T2 distribution data from well log data with the use of a committee machine approach: a case study from the Asmari formation in the Zagros Basin, Iran. J Pet Sci Eng 114:38–51. https://doi.org/10.1016/j.petrol.2013.12.003
Farzi R, Bolandi V, Kadkhodaie A, Iglauer S, Hashempour Z (2017) Simulation of NMR response from micro-CT images using artificial neural networks. J Nat Gas Sci Eng 39:54–61. https://doi.org/10.1016/j.jngse.2017.01.029
Asoodeh M, Bagheripour P (2012) Prediction of compressional, shear, and stoneley wave velocities from conventional well log data using a committee machine with intelligent systems. Rock Mech Rock Eng 45(1):45–63. https://doi.org/10.1007/s00603-011-0181-2
Li H, Misra S (2019) Long short-term memory and variational autoencoder with convolutional neural networks for generating NMR T2 distributions. IEEE Geosci Remote Sens Lett 16(2):192–195
Li H, Misra S (2017) Prediction of subsurface NMR T2 distributions in a shale petroleum system using variational autoencoder-based neural networks. IEEE Geosci Remote Sens Lett 10(99):1–3. https://doi.org/10.1109/lgrs.2017.2766130
Dosovitskiy A, Brox T (2016) Generating images with perceptual similarity metrics based on deep networks. In: Advances in neural information processing systems, pp 658–666
Bowman SR, Vilnis L, Vinyals O, Dai AM, Jozefowicz R, Bengio S (2015) Generating sentences from a continuous space. arXiv preprint arXiv:151106349
Cho K, Van Merriënboer B, Gulcehre C, Bahdanau D, Bougares F, Schwenk H, Bengio Y (2014) Learning phrase representations using RNN encoder-decoder for statistical machine translation. arXiv preprint arXiv:14061078
Sutskever I, Vinyals O, Le QV (2014) Sequence to sequence learning with neural networks. In: Advances in neural information processing systems, pp 3104–3112
Wen T-H, Gasic M, Mrksic N, Su P-H, Vandyke D, Young S (2015) Semantically conditioned LSTM-based natural language generation for spoken dialogue systems. arXiv preprint arXiv:150801745
Venugopalan S, Xu H, Donahue J, Rohrbach M, Mooney R, Saenko K (2014) Translating videos to natural language using deep recurrent neural networks. arXiv preprint arXiv:14124729
Reed S, Akata Z, Yan X, Logeswaran L, Schiele B, Lee H (2016) Generative adversarial text to image synthesis. arXiv preprint arXiv:160505396
Coates GR, Xiao L, Prammer MG (1999) NMR logging: principles and applications. Gulf Professional Publishing, Houston
Acknowledgements
Few aspects of the recurrent neural network model implementation are based upon the work supported by the Geosciences Research Program in the Office of Basic Energy Sciences, U.S. Department of Energy, under Award Number DE-SC0019266. We thank Mr. Gary Simpson, Dr. Carl Sondergeld, and Dr. Chandra Rai for their technical insights and suggestions related to nuclear magnetic resonance measurements and other well logs.
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Li, H., Misra, S. & He, J. Neural network modeling of in situ fluid-filled pore size distributions in subsurface shale reservoirs under data constraints. Neural Comput & Applic 32, 3873–3885 (2020). https://doi.org/10.1007/s00521-019-04124-w
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DOI: https://doi.org/10.1007/s00521-019-04124-w