Optimised multivariate Gaussians for probabilistic subsurface characterisation

References

• Abdulla, M. B., A. L. Costa, and R. L. Sousa. 2016. “Probabilistic Identification of Subsurface Gypsum Geohazards Using Artificial Neural Networks.” Neural Computing and Applications 29: 1377–1391. doi: 10.1007/s00521-016-2655-3
   Web of Science ®Google Scholar
• Bishop, Christopher. 2006. Pattern Recognition and Machine Learning. New York: Springer-Verlag.
   Google Scholar
• Cao, Z., and Y. Wang. 2013. “Bayesian Approach for Probabilistic Site Characterization Using Cone Penetration Tests.” Journal of Geotechnical and Geoenvironmental Engineering 139 (2): 267–276. doi: 10.1061/(ASCE)GT.1943-5606.0000765
   Web of Science ®Google Scholar
• Cao, Z. J., S. Zheng, D. Q. Li, and K. K. Phoon. 2018. “Bayesian Identification of Soil Stratigraphy Based on Soil Behaviour Type Index.” Canadian Geotechnical Journal 999: 1–17.
   Google Scholar
• Freeden, W., M. Z. Nashed, and T. Sonar, eds. 2010. Handbook of Geomathematics. Berlin: Springer-Verlag.
   Google Scholar
• FUGRO Middle East. 2008. Consultancy Services for Masdar Development. Geotechnical Investigation for Masdar City. Abu Dhabi: Fugro Middle East.
   Google Scholar
• Haupt, R. L., and S. Ellen Haupt. 2004. Practical Genetic Algorithms. New York: John Wiley & Sons.
   Google Scholar
• Kumar, J. K., M. Konno, and N. Yasuda. 2000. “Subsurface Soil-Geology Interpolation Using Fuzzy Neural Network.” Journal of Geotechnical and Geoenvironmental Engineering 126 (7): 632–639. doi: 10.1061/(ASCE)1090-0241(2000)126:7(632)
   Web of Science ®Google Scholar
• Li, Z., X. Wang, H. Wang, and R. Y. Liang. 2016. “Quantifying Stratigraphic Uncertainties by Stochastic Simulation Techniques Based on Markov Random Field.” Engineering Geology 201: 106–122. doi: 10.1016/j.enggeo.2015.12.017
   Web of Science ®Google Scholar
• MacDonald, M. 2010. “Site-Wide Infrastructure Design.” Geotechnical Report. Abu Dhabi.
   Google Scholar
• Malhotra, R., N. Singh, and Y. Singh. 2011. “Genetic Algorithms: Concepts, Design for Optimization of Process Controllers.” Computer and Information Science 4 (2): 39. doi: 10.5539/cis.v4n2p39
   Google Scholar
• McKenna, S. A., and E. P. Poeter. 1995. “Field Example of Data Fusion in Site Characterization.” Water Resources Research 31 (12): 3229–3240. doi: 10.1029/95WR02573
   Web of Science ®Google Scholar
• Qi, X. H., D. Q. Li, K. K. Phoon, Z. J. Cao, and X. S. Tang. 2016. “Simulation of Geologic Uncertainty Using Coupled Markov Chain.” Engineering Geology 207: 129–140. doi: 10.1016/j.enggeo.2016.04.017
   Web of Science ®Google Scholar
• Sousa, L. R., T. Miranda, W. Roggenthen, and R. L. Sousa. 2012. “Models for Geomechanical Characterization of the Rock Mass Formations at DUSEL Using Data Mining Technique.” 46th US Rock Mechanics/geomechanics Symposium. Doc. ARMA-2012-120.
   Google Scholar
• Suzuki, S., G. Caumon, and J. Caers. 2008. “Dynamic Data Integration for Structural Modeling: Model Screening Approach Using a Distance-Based Model Parameterization.” Computational Geosciences 12 (1): 105–119. doi: 10.1007/s10596-007-9063-9
   Web of Science ®Google Scholar
• Tacher, L., I. Pomian-Srzednicki, and A. Parriaux. 2006. “Geological Uncertainties Associated with 3-D Subsurface Models.” Computers & Geosciences 32 (2): 212–221. doi: 10.1016/j.cageo.2005.06.010
   Web of Science ®Google Scholar
• Thore, P., A. Shtuka, M. Lecour, T. Ait-Ettajer, and R. Cognot. 2002. “Structural Uncertainties: Determination, Management, and Applications.” Geophysics 67 (3): 840–852. doi: 10.1190/1.1484528
   Web of Science ®Google Scholar
• Wang, X., H. Wang, and R. Y. Liang. 2018. “A Method for Slope Stability Analysis Considering Subsurface Stratigraphic Uncertainty.” Landslides 15 (5): 925–936. doi: 10.1007/s10346-017-0925-5
   Web of Science ®Google Scholar
• Wang, H., J. F. Wellmann, Z. Li, X. Wang, and R. Y. Liang. 2017. “A Segmentation Approach for Stochastic Geological Modeling Using Hidden Markov Random Fields.” Mathematical Geosciences 49 (2): 145–177. doi: 10.1007/s11004-016-9663-9
   Web of Science ®Google Scholar
• Warren, J. K. 1989. Evaporite Sedimentology. Englewood Cliffs, NJ: Prentice-Hall.
   Google Scholar
• Wellmann, J. F., F. G. Horowitz, E. Schill, and K. Regenauer-Lieb. 2010. “Towards Incorporating Uncertainty of Structural Data in 3D Geological Inversion.” Tectonophysics 490 (3): 141–151. doi: 10.1016/j.tecto.2010.04.022
   Web of Science ®Google Scholar
• Wellmann, J. F., and K. Regenauer-Lieb. 2012. “Uncertainties Have a Meaning: Information Entropy as a Quality Measure for 3-D Geological Models.” Tectonophysics 526–529: 207–216. doi: 10.1016/j.tecto.2011.05.001
   Web of Science ®Google Scholar