Elastic Modulus Estimation Using a Scaled State Parameter in the Extended Kalman Filter

  • M. C. KochEmail author
  • A. Murakami
  • K. Fujisawa
Part of the Developments in Geotechnical Engineering book series (DGE)


The Elastic Modulus of soil is an important property both from a strength and settlement perspective. Back analysis using observation data in an EKF could prove troublesome considering the large difference in magnitude of the covariances of the observation noise and the state vector noise. A simple scaled formulation is developed wherein the Kalman Filtering is done with respect to a new scaled state parameter. The domain is subdivided into blocks and only a simple two-block case is considered. The Elastic Modulus is considered constant inside a block. The EKF using the scaled state parameter is successful in estimating the state of only one of the blocks.


Elastic modulus EKF Scaled state parameter 


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© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Graduate School of AgricultureKyoto UniversityKyotoJapan

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