A Methodology to Identify Material Properties in Pavements Modeled as Layered Viscoelastic Halfspaces (Theory)

Abstract

An accurate, rapid, and reliable methodology for identifying material properties of pavements modeled as layered viscoelastic halfspaces subjected to dynamic excitation is developed. The methodology is based on the forward model of system identification. The Modulus of elasticity of each layer, the damping in each layer, and the slope of the creep curve for the top layer are selected as the parameters to be identified. The validity and accuracy of the proposed methodology is demonstrated by several numerical experiments involving simulated changes in the selected pavement parameters. Iterative procedures developed to solve nonlinear problems which arise in estimating the pavement parameters are presented.

Site Amplification and Attenuation via Downhole Array Seismogram Inversion: A Comparative Study of the 2003 Miyagi-Oki Aftershock Sequence

“…Based on the geometric dispersion of Rayleigh waves in heterogeneous media, and originally developed for determining the impedance profile of soil deposits and pavement systems, surface-wave tests have also recently been used to determine the intrinsic attenuation of soil deposits (Lai, 1998;Foti and Lai, 1999;Rix et al, 2000) thereby providing important information for the complete characterization of small-strain dynamic properties at a site. To this end, a number of authors have pursued, with various degrees of rigor, coupled viscoacoustic interpretations of the waveforms in attenuating media (Chaderjian, 1994;Causse et al, 1999), and more closely related to the viscoelastic inversion techniques for soil attenuation in the near surface, one should also mention the work on one-dimensional (1D) seismic reflection analysis by Martinez and McMechan (1991) and the 3D spectral interpretation of surface motion in a layered solid due to impact load (Stubbs et al, 1994;Uzan, 1994). It should be noted that all the previously described methodologies are centered around gradient-based minimization algorithms owing to the prohibitive computational cost of random search techniques for this class of problems.…”

Dynamic interpretation of falling weight deflectometer tests on flexible pavements using the spectral element method: backcalculation

“…It performs inverse modeling using a nonlinear regression to estimate the pavement material properties that provide the best-fit between the predicted and the measured (Mamlouk 1985) Thin layer method (Kausel and Peek 1982) Iterative procedure; time domain (Stolle and Hein 1989) Finite element method with Ritz vector (Stolle 1991) Iterative Newton-Raphson method; time domain FEDPAN (Ong et al 1990) Finite element method SAP IV Iterative Newton-Raphson method; frequency domains. PAVE-SID and PDAP (Magnuson et al 1991;Stubbs et al 1994) SCALPOT Iterative Newton-Raphson method; frequency domains (Ketcham 1993) PUNCH (Kausel 1989) Iterative quasi-Newton method; frequency domain (Lytton et al 1993;Uzan 1994) UTFWIBM (Roësset 1987) Iterative Newton-Raphson method; time and frequency domains (Meier et Rix 1994;Meier 1995) Thin layer method (Kausel and Roësset 1981) ANN; time domain FWD-DYN (Foinquinos 1995) Thin layer method (Kausel and Roësset 1981) Iterative Newton-Raphson method; time domain BKGREEN (Kang 1998) Thin layer method (Kausel and Roësset 1981) Iterative Levenberg-Marquardt method; frequency domain DBALM (Matsui et al 2000;Dong et al 2001 deflections. The nonlinear regression problem is solved by minimizing a weighted least-squares objective function with respect to the unknown parameter values using the Levenderg-Marquardt method.…”

The simple method of dynamic visco-elastic analysis of road structure. on rheological foundation

“…For further computation, for the beam the value E = 1700 MPa is assumed. Geometrical characteristics of a beam are as follows: Using (17) we can obtain the elastic deformation of beam midspan cross-section for any time moment, starting from the beginning of the process, i.e. from the moment when the wheel is put down in the midspan.…”

“…The effective visco-elastic approaches to the pavement mechanics are not scarce [16][17] but, on the other hand, not intensive enough. An extension to visco-elastic Boussinesq problem could be found in [8].…”