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Absorbing Boundary Condition Implemented for the GPR Data Simulation Using SEM in the Frequency Domain
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 80th EAGE Conference and Exhibition 2018, Jun 2018, Volume 2018, p.1 - 5
Abstract
The major part of the numerical modeling which makes an important influence on the accuracy of the data acquisition is the boundary condition. Limitation of the computer memory and the need for less computation motivated us to introduce an artificial reflector that allows minimal wave reflection. In this study we employ the first and second order Clayton-Engquist absorbing boundary conditions (CE-ABC) on the GPR synthetic data to investigate their capability and limitations. We present a frequency-domain spectral-element method (SEM) as a high accuracy and flexible numerical technique for simulation of the GPR data. This work is the first attempt of applying second order ABC by using SEM idea in GPR modeling. We first drive a weak form of Maxwell’s equation in the time domain for the spatial discretization which leads us to an ordinary differential equations system in time that can be solved numerically in the frequency-domain. Finally, the first and second order C-E ABC performances are tested on the frequency-domain SEM simulation. The results of numerical modeling of GPR show a reasonable performance of CE-ABC and demonstrate that the second order ABC has better efficiency to attenuate reflected waves from the boundaries than the first order ABC.