Cone Bearing Estimation Utilizing a Hybrid HMM and IFM Smoother Filter Formulation
- 1 Baziw Consulting Engineers, Vancouver, BC, Canada
- 2 Baziw Consulting Engineers, Tyler, Texas, USA
Abstract
Cone penetration testing (CPT) is a widely used geotechnical engineering in-situ test for mapping soil profiles and assessing soil properties. In CPT, a cone on the end of a series of rods is pushed into the ground at a constant rate and resistance to the cone tip is measured ( q m ). The q m values are utilized to characterize the soil profile. Unfortunately, the measured cone tip resistance is blurred and/or averaged which can result in the distortion of the soil profile characterization and the inability to identify thin layers. This paper outlines a novel and highly effective algorithm for obtaining cone bearing estimates q t from averaged or smoothed q m measurements. This q t optimal filter estimation technique is referred to as the q t HMM-IFM algorithm and it implements a hybrid hidden Markov model and iterative forward modelling technique. The mathematical details of the q t HMM-IFM algorithm are outline d in this paper along with the results from challenging test bed. The test b ed simulations have demonstrated that the q t HMM-IFM algorithm can derive accurate q t values from challenging averaged q m profiles. This allows for greater soil resolution and the identification and quantification of thin layers in a soil profile.
- Lunne, T., Robertson, P.K. and Powell, J.J.M. (1997) Cone Penetrating Testing: In Geotechnical Practice. Taylor & Francis, 1997.
- Robertson, P.K. (1990) Soil Classification Using the Cone Penetration Test. Canadian Geotechnical Journal, 27, 151-158. https://doi.org/10.1139/t90-014
- (2017) ASTM D6067/D6067M-17 Standard Practice for Using the Electronic Piezocone Penetrometer Tests for Environmental Site Characterization and Estimation of Hydraulic Conductivity. Soil and Rock, 4, 324-333.
- Cai, G.J., Liu, L.Y., Tong and Du, G.Y. (2006) General Factors Affecting Interpretation for the Piezocone Penetration Test (CPTU) Data. Journal of Engineering Geology, 14, 632-636.
- Boulanger, R.W. and DeJong, T.J. (2018) Inverse Filtering Procedure to Correct cone Penetration Data for Thin-Layer and Transition Effects. In: Hicks, M.A., Pisano, F. and Peuchen, J., Eds., Cone Penetration Testing 2018, CRC Press, London, 25-44.
- Arulampalam, M.S., Maskell, S. and Clapp, T. (2002) A Tutorial on Particle Filters for Online Nonlinear/Non-Gaussian Bayesian Tracking. IEEE Transactions on Signal Processing, 50, 174-188. https://doi.org/10.1109/78.978374
- Baziw, E. (2007) Application of Bayesian Recursive Estimation for Seismic Signal Processing, Ph.D. Thesis, University of British Columbia, Columbia, Canada.
- Nelder, J.A. and Mead, R. (1965) A Simplex Method for Function Optimization. Computing Journal, 7, 308-313. https://doi.org/10.1093/comjnl/7.4.308
- Gibowicz, S.J. and Kijko, A. (1994) An Introduction to Mining Seismology. Academic Press, CA.
- Baziw, E., Nedilko, B. and Weir-Jones, I. (2004) Microseismic Event Detection Kalman Filter: Derivation of the Noise Covariance Matrix and Automated First Break Determination for Accurate Source Location Estimation. Pure and Applied Geophysics, 161, 303-329. https://doi.org/10.1007/s00024-003-2443-8
- Baziw, E. (2011) Incorporation of Iterative Forward Modeling into the Principle Phase Decomposition Algorithm for Accurate Source Wave and Reflection Series Estimation. IEEE Transactions on Geoscience and Remote Sensing, 49, 650-660. https://doi.org/10.1109/TGRS.2010.2058122