Technical Papers
Jun 17, 2021

Development of Subsurface Geological Cross-Section from Limited Site-Specific Boreholes and Prior Geological Knowledge Using Iterative Convolution XGBoost

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 147, Issue 9

Abstract

The delineation of vertical geological cross-sections is an essential task in geotechnical site characterization and has a profound impact on subsequent geotechnical designs and analyses. It is a long-lasting challenge, particularly for complex geological settings, to properly produce a subsurface geological cross-section from limited boreholes that are usually encountered in engineering practice. Emerging machine learning methods, such as the convolutional neural network (CNN), provide a fresh perspective of this challenge and effective alternatives for exploiting the complex stratigraphic relationships between different soil deposits. In this study, a novel iterative convolution eXtreme Gradient Boosting model (IC-XGBoost) is proposed. This model interpolates a subsurface geological cross-section from limited site-specific boreholes and a training geological cross-section obtained from previous projects with similar geological settings. This direct application of previous geological cross-sections for training is based on the assumption of similar local spatial connectivity or stratigraphic relationships between soils in areas with similar geological settings. The proposed method can learn stratigraphic patterns from a training image in an automatic manner. In addition, the proposed method is purely data-driven and does not require the specification of any parametric function form. The model performance is illustrated using both a simulated example and real data from a tunnel project in Australia. The proposed method not only infers the most probable geological cross-section but also quantifies the associated interpolation uncertainty from multiple realizations. The effect of the borehole number on the interpolation performance is also explicitly investigated.

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Data Availability Statement

The developed executable file for the IC-XGBoost algorithm is available at https://sites.google.com/site/yuwangcityu/ic-xgboost.

Acknowledgments

The work described in this paper was supported by grants from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project Nos. CityU 11213119 and CityU 11213117). The financial supports are gratefully acknowledged.

References

Boeckmann, A. Z., and J. E. Loehr. 2016. Influence of geotechnical investigation and subsurface conditions on claims, change orders, and overruns. National cooperative highway research program synthesis 484. Washington, DC: Transportation Research Board.
Boisvert, J. B., M. J. Pyrcz, and C. V. Deutsch. 2007. “Multiple-point statistics for training image selection.” Nat. Resour. Res. 16 (4): 313–321. https://doi.org/10.1007/s11053-008-9058-9.
Boureau, Y., F. Bach, Y. LeCun, and J. Ponce. 2010a. “Learning mid-level features for recognition.” In Proc., 2010 IEEE Computer Society Conf. on Computer Vision and Pattern Recognition, 2559–2566. New York: IEEE.
Boureau, Y., J. Ponce, and Y. LeCun. 2010b. “A theoretical analysis of feature pooling in visual recognition.” In Proc., 27th Int. Conf. on Machine Learning (ICML-10), 111–118. Alexandria, VA: National Science Foundation.
Chen, T., and C. Guestrin. 2016. “Xgboost: A scalable tree boosting system.” In Proc., 22nd ACM SIGKDD Int. Conf. on Knowledge Discovery and Data Mining, 785–794. New York: Special Interest Group on Management of Data.
Clayton, C. R. 2001. Managing geotechnical risk: Improving productivity in UK building and construction. London: Thomas Telford Publishing.
Deng, Z. P., S. H. Jiang, J. T. Niu, M. Pan, and L. L. Liu. 2020. “Stratigraphic uncertainty characterization using generalized coupled Markov chain.” Bull. Eng. Geol. Environ. 79 (10): 5061–5078. https://doi.org/10.1007/s10064-020-01883-y.
Deutsch, C., and L. Wang. 1996. “Hierarchical object-based stochastic modeling of fluvial reservoirs.” Math. Geol. 28 (7): 857–880. https://doi.org/10.1007/BF02066005.
Dumoulin, V., and F. Visin. 2016. “A guide to convolution arithmetic for deep learning.” Preprint, submitted March 23, 2016. http://arxiv.org/abs/1603.07285.
Elfeki, A., and M. Dekking. 2001. “A Markov chain model for subsurface characterization: Theory and applications.” Math. Geol. 33 (5): 569–589. https://doi.org/10.1023/A:1011044812133.
Hastie, T., R. Tibshirani, and J. Friedman. 2009. The elements of statistical learning. 2nd ed. New York: Springer.
Juang, C. H., T. Jiang, and R. A. Christopher. 2001. “Three-dimensional site characterisation: Neural network approach.” Géotechnique 51 (9): 799–809. https://doi.org/10.1680/geot.2001.51.9.799.
Juang, C. H., J. Zhang, M. Shen, and J. Hu. 2019. “Probabilistic methods for unified treatment of geotechnical and geological uncertainties in a geotechnical analysis.” Eng. Geol. 249 (Jan): 148–161. https://doi.org/10.1016/j.enggeo.2018.12.010.
Katiyar, S. K., and P. V. Arun. 2014. “Comparative analysis of common edge detection techniques in context of object extraction.” Accessed April 1, 2021. https://arxiv.org/ftp/arxiv/papers/1405/1405.6132.pdf.
Koltermann, C. E., and S. M. Gorelick. 1992. “Paleoclimatic signature in terrestrial flood deposits.” Science 256 (5065): 1775–1782. https://doi.org/10.1126/science.256.5065.1775.
Koltermann, C. E., and S. M. Gorelick. 1996. “Heterogeneity in sedimentary deposits: A review of structure-imitating, process-imitating, and descriptive approaches.” Water Resour. Res. 32 (9): 2617–2658. https://doi.org/10.1029/96WR00025.
Kumar, J. K., M. Konno, and N. Yasuda. 2000. “Subsurface soil-geology interpolation using fuzzy neural network.” J. Geotech. Geoenviron. Eng. 127 (7): 632–639. https://doi.org/10.1061/(ASCE)1090-0241(2000)126:7(632).
LeCun, Y., B. Boser, J. S. Denker, D. Henderson, R. E. Howard, W. Hubbard, and L. D. Jackel. 1989. “Backpropagation applied to handwritten zip code recognition.” Neural Comput. 1 (4): 541–551. https://doi.org/10.1162/neco.1989.1.4.541.
LeCun, Y., L. Bottou, and Y. Bengio. 1997. “Reading checks with multilayer graph transformer networks.” In Vol. 1 of Proc., IEEE Int. Conf. on Acoustics, Speech, and Signal Processing, 151–154. New York: IEEE.
Li, D., X. Qi, Z. Cao, X. Tang, K. Phoon, and C. Zhou. 2016a. “Evaluating slope stability uncertainty using coupled Markov chain.” Comput. Geotech. 73 (Mar): 72–82. https://doi.org/10.1016/j.compgeo.2015.11.021.
Li, Z., X. Wang, H. Wang, and R. Y. Liang. 2016b. “Quantifying stratigraphic uncertainties by stochastic simulation techniques based on Markov random field.” Eng. Geol. 201 (Feb): 106–122. https://doi.org/10.1016/j.enggeo.2015.12.017.
Ludwig, J. 2013. “Image convolution, Portland State University.” Accessed April 1, 2020. http://web.pdx.edu/∼jduh/courses/Archive/geog481w07/Students/Ludwig_ImageConvolution.pdf.
Mairal, J., P. Koniusz, Z. Harchaoui, and C. Schmid. 2014. “Convolutional kernel networks.” In Advances in neural information processing systems, 2627–2635. Cambridge, MA: MIT Press.
Mitchell, T. M. 1997. Machine learning. Burr Ridge, IL: McGraw Hill.
Mood, A. M. 1940. “The distribution theory of runs.” Ann. Math. Stat. 11 (4): 367–392. https://doi.org/10.1214/aoms/1177731825.
Pathak, D., P. Krahenbuhl, J. Donahue, T. Darrell, and A. A. Efros. 2016. “Context encoders: Feature learning by inpainting.” In Proc., IEEE Conf. on Computer Vision and Pattern Recognition, 2536–2544. New York: IEEE.
Prezzi, M., B. McCullouch, and V. K. D. Mohan. 2011. Analysis of change orders in geotechnical engineering work at INDOT. West Lafayette, IN: Joint Transportation Research Program, Indiana DOT and Purdue Univ.
Qi, X., D. Li, K. Phoon, Z. Cao, and X. Tang. 2016. “Simulation of geologic uncertainty using coupled Markov chain.” Eng. Geol. 207 (Jun): 129–140. https://doi.org/10.1016/j.enggeo.2016.04.017.
Rodríguez, P., M. A. Bautista, J. Gonzalez, and S. Escalera. 2018. “Beyond one-hot encoding: Lower dimensional target embedding.” Image Vision Comput. 75 (Jul): 21–31. https://doi.org/10.1016/j.imavis.2018.04.004.
Ruder, S. 2016. “An overview of gradient descent optimization algorithms.” Preprints, submitted September 15, 2016. http://arxiv.org/abs/1609.04747.
Shi, C., and Y. Wang. 2021a. “Nonparametric and data-driven interpolation of subsurface soil stratigraphy from limited data using multiple point statistics.” Can. Geotech. J. 58 (2): 261–280. https://doi.org/10.1139/cgj-2019-0843.
Shi, C., and Y. Wang. 2021b. “Smart determination of borehole number and locations for stability analysis of multi-layered slopes using multiple point statistics and information entropy.” Can. Geotech. J. https://doi.org/10.1139/cgj-2020-0327.
Srivastava, N., G. Hinton, A. Krizhevsky, I. Sutskever, and R. Salakhutdinov. 2014. “Dropout: A simple way to prevent neural networks from overfitting.” J. Mach. Learn. Res. 15 (1): 1929–1958.
Steffens, C. R., L. R. Messias, P. J. Drews Jr., and S. S. D. C. Botelho. 2020. “CNN based image restoration.” J. Intell. Rob. Syst. 99: 609–627. https://doi.org/10.1007/s10846-019-01124-9.
Thongsuwan, S., S. Jaiyen, A. Padcharoen, and P. Agarwal. 2021. “ConvXGB: A new deep learning model for classification problems based on CNN and XGBoost.” Nucl. Eng. Technol. 53 (2): 522–531. https://doi.org/10.1016/j.net.2020.04.008.
Van Vliet, L. J., I. T. Young, and G. L. Beckers. 1989. “A nonlinear laplace operator as edge detector in noisy images.” Comput. Vision Graphics Image Process. 45 (2): 167–195. https://doi.org/10.1016/0734-189X(89)90131-X.
Wang, Y., Y. Hu, and T. Zhao. 2020. “CPT-based subsurface soil classification and zonation in a 2D vertical cross-section using Bayesian compressive sampling.” Can. Geotech. J. 57 (7): 947–958. https://doi.org/10.1139/cgj-2019-0131.
Zhang, W., K. Itoh, J. Tanida, and Y. Ichioka. 1990. “Parallel distributed processing model with local space-invariant interconnections and its optical architecture.” Opt. Soc. Am. 29 (32): 4790–4797. https://doi.org/10.1364/AO.29.004790.
Zhang, W., R. Zhang, C. Wu, A. T. Goh, and L. Wang. 2020. “Assessment of basal heave stability for braced excavations in anisotropic clay using extreme gradient boosting and random forest regression.” Underground Space. https://doi.org/10.1016/j.undsp.2020.03.001.

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Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 147Issue 9September 2021

History

Received: Jul 18, 2020
Accepted: Apr 5, 2021
Published online: Jun 17, 2021
Published in print: Sep 1, 2021
Discussion open until: Nov 17, 2021

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P.E.
Ph.D. Student, Dept. of Architecture and Civil Engineering, City Univ. of Hong Kong, Tat Chee Ave., Kowloon, Hong Kong. Email: [email protected]
Professor, Dept. of Architecture and Civil Engineering, City Univ. of Hong Kong, Tat Chee Ave., Kowloon, Hong Kong (corresponding author). ORCID: https://orcid.org/0000-0003-4635-7059. Email: [email protected]

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