Effectiveness of 2D FDTD Ground Penetrating Radar Modeling for Bridge Deck Deterioration Evaluated by 3D FDTD

Computational modeling is effectively analyzes the wave propagation and interaction within bridge structures, providing valuable information for sensor selection and placement. It provides a good basis for the inverse problem for defect detection and reconstruction. The finite difference time domain (FDTD) method can be used to model nondestructive wave based sensing using air-coupled ground penetrating radar (GPR). A full 3D model is able to capture all interactions but is limited by computational size and CPU time. In contrast, a 2D model is computationally fast and capable of studying a large computational region, but lacks a complete view of the problem. In this study, we propose to use the 2D FDTD model to simulate the GPR detection of bridge deck defects. The effectiveness of the 2D model is validated by comparison to a full 3D model. The bridge deck is a relatively uniform in the transverse direction so that the 2D longitudinal geometry analysis can therefore adequately capture most of the 3D scattering behavior.

[1]  K. Yee.  Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media , 1966 .

[2]  C. Rappaport,et al.  FDTD wave propagation in dispersive soil using a single pole conductivity model , 1999 .

[3]  Christopher L. Barnes,et al.  Improved concrete bridge deck evaluation using GPR by accounting for signal depth–amplitude effects , 2008 .

[4]  G. Mur.  Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time-Domain Electromagnetic-Field Equations , 1981, IEEE Transactions on Electromagnetic Compatibility.

[5]  Fernando L. Teixeira,et al.  Dispersion-relation-preserving FDTD algorithms for large-scale three-dimensional problems , 2003 .

[6]  Carey M. Rappaport.  Accurate Determination of Underground GPR Wavefront and B-Scan Shape From Above-Ground Point Sources , 2007, IEEE Transactions on Geoscience and Remote Sensing.

[7]  Yide Wang,et al.  Thin-Pavement Thickness Estimation Using GPR With High-Resolution and Superresolution Methods , 2007, IEEE Transactions on Geoscience and Remote Sensing.

[8]  D G Manning,et al.  DETECTING DETERIORATION IN ASPHALT-COVERED BRIDGE DECKS , 1982 .

[9]  R. Luebbers,et al.  The Finite Difference Time Domain Method for Electromagnetics , 1993 .

[10]  Jean-Pierre Berenger,et al.  A perfectly matched layer for the absorption of electromagnetic waves , 1994 .

[11]  Y. Hao,et al.  Two novel FDTD based UWB indoor propagation models , 2005, 2005 IEEE International Conference on Ultra-Wideband.

[12]  Allen Taflove,et al.  Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .

[13]  Dennis M. Sullivan.  Exceeding the Courant condition with the FDTD method , 1996 .

[14]  J.W. Schuster,et al.  An FDTD algorithm for transient propagation in biological tissue with a Cole-Cole dispersion relation , 1998, IEEE Antennas and Propagation Society International Symposium. 1998 Digest. Antennas: Gateways to the Global Network. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.98CH36.

[15]  C. M. Rappaport,et al.  Specifying PML conductivities by considering numerical reflection dependencies , 2000 .

[16]  G. Arliguie,et al.  Radar survey of concrete elements: Effect of concrete properties on propagation velocity and time zero , 2008 .

[17]  Ying Wang,et al.  Measurement of Layer Thickness and Permittivity Using a New Multilayer Model From GPR Data , 2007, IEEE Transactions on Geoscience and Remote Sensing.