Stratigraphic Uncertainty Reduction Considering the Location of Additional Boreholes
Publication: Geo-Risk 2023
ABSTRACT
Generally, the number of boreholes drilled in a project is constrained by the field investigative budget. How to select additional boreholes to increase the reliability of the deduced stratigraphic profile, or to reduce the uncertainty of the deduced stratigraphic profile, is an essential issue. This paper utilizes the stochastic Markov random field (MRF) to study the effect of added boreholes in a synthetic stratigraphic model. The information entropy is employed to quantify the stratigraphic model uncertainty. First, the parametric studies of borehole locations and MRF parameter were conducted. Then, the accuracy of MRF simulation was assessed by comparing the MRF-generated stratigraphic model with the synthetic stratigraphic model. The results show that (1) the average information entropy may be expressed as a quadratic function of the location of an additional borehole; and (2) the average information entropy decreases with the increase in stratigraphic anisotropic ratio and vice versa. Furthermore, the correlations among additional borehole location, stratigraphic anisotropic ratio, and average information entropy were obtained using multivariate regression analysis.
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REFERENCES
Chien, W. Y., Lu, Y. C., Juang, C. H., Dong, J. J., and Hung, W. Y. (2022). “Effect of stratigraphic model uncertainty at a given site on its liquefaction potential index: comparing two random field approaches.” Eng. Geol., 309, 106838.
Fournier, A., Fussell, D., and Carpenter, L. (1982). “Computer rendering of stochastic models.” Communications of the ACM., 25(6), 371–384.
Geman, S., and Geman, D. (1984). “Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images.” IEEE Trans. Pattern. Anal. Mach. Intell., 6(6), 721–741.
Gong, W., Tang, H., Wang, H., Wang, X., and Juang, C. H. (2019). “Probabilistic analysis and design of stabilizing piles in slope considering stratigraphic uncertainty.” Eng. Geol., 259, 105162.
Gong, W., Zhao, C., Juang, C. H., Tang, H., Wang, H., and Hu, X. (2020). “Stratigraphic uncertainty modeling with random field approach.” Comput. Geotech., 125, 103681.
Gong, W., Zhao, C., Juang, C. H., Zhang, Y., Tang, H., and Lu, Y. C. (2021). “Coupled characterization of stratigraphic and geo-properties uncertainties – A conditional random field approach.” Eng. Geol., 294, 106348.
Hsu, Y. H., Lu, Y. C., Khoshnevisan, S., Juang, C. H., and Hwang, J. H. (2022). “Influence of geological uncertainty on the design of OWTF monopiles.” Eng. Geol., 303, 106621.
Keaton, J. R. (2013). “Engineering geology: Fundamental input or random variable?” In Proc., Geo-Congress., 232–253. San Diego: California, US.
Li, Z., Wang, X., Wang, H., and Liang, R. Y. (2016). “Quantifying stratigraphic uncertainties by stochastic simulation techniques based on Markov random field.” Eng. Geol., 201, 106–122.
Qi, X. H., Li, D. Q., Phoon, K. K., Cao, Z. J., and Tang, X. S. (2016). “Simulation of geologic uncertainty using coupled Markov chain.” Eng. Geol., 207, 129–140.
Sandersen, P. B. E. (2008). “Uncertainty assessment of geological models--A qualitative approach.” 320, 345-349.
Shannon, C. E. (1948). “A Mathematical Theory of Communication.” Bell Labs Tech. J., 27(3), 379–423.
Wang, S. J., Nguyen, Q. C., Lu, Y. C., Doyoro, Y. G., and Tran, D. H. (2022). “Evaluation of geological model uncertainty caused by data sufficiency using groundwater flow and land subsidence modeling as example.” Bull. Eng. Geol. Environ., 81, 331.
Wang, H., Wellmann, J. F., Li, Z., Wang, X., and Liang, R. Y. (2017). “A segmentation approach for stochastic geological modeling using hidden Markov random fields.” Math. Geosci., 49(2), 145–177.
Wellmann, J. F., Horowitz, F. G., Schill, E., and Regenauer-Lieb, K. (2010). “Towards incorporating uncertainty of structural data in 3D geological inversion.” Tectonophysics., 490(3–4), 141–151.
Wellmann, J. F., and Regenauer-Lieb, K. (2012). “Uncertainties have a meaning: information entropy as a quality measure for 3-D geological models.” Tectonophysics., 526–529, 207–216.
Zhao, C., Gong, W., Li, T., Juang, C. H., Tang, H., and Wang, H. (2021). “Probabilistic characterization of subsurface stratigraphic configuration with modified random field approach.” Eng. Geol., 288, 106138.
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Published online: Jul 20, 2023
ASCE Technical Topics:
- Boring
- Construction engineering
- Construction methods
- Continuum mechanics
- Drilling
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering mechanics
- Entropy methods
- Field tests
- Geology
- Geotechnical engineering
- Mathematics
- Model accuracy
- Models (by type)
- Motion (dynamics)
- Parameters (statistics)
- Simulation models
- Solid mechanics
- Statistics
- Tests (by type)
- Thermodynamics
- Uncertainty principles
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