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Frequency domain finite-element and spectral-element acoustic wave modeling using absorbing boundaries and perfectly matched layer.

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Title: Frequency domain finite-element and spectral-element acoustic wave modeling using absorbing boundaries and perfectly matched layer.
Authors: Rahimi Dalkhani, Amin1, Javaherian, Abdolrahim1,2 javaherian@aut.ac.ir, Mahdavi Basir, Hadi1
Source: Waves in Random & Complex Media. May2018, Vol. 28 Issue 2, p367-388. 22p.
Subjects: Sound waves, Seismology, Boundary value problems, Finite element method, Wave equation, Mathematical models
Abstract: Wave propagation modeling as a vital tool in seismology can be done via several different numerical methods among them are finite-difference, finite-element, and spectral-element methods (FDM, FEM and SEM). Some advanced applications in seismic exploration benefit the frequency domain modeling. Regarding flexibility in complex geological models and dealing with the free surface boundary condition, we studied the frequency domain acoustic wave equation using FEM and SEM. The results demonstrated that the frequency domain FEM and SEM have a good accuracy and numerical efficiency with the second order interpolation polynomials. Furthermore, we developed the second order Clayton and Engquist absorbing boundary condition (CE-ABC2) and compared it with the perfectly matched layer (PML) for the frequency domain FEM and SEM. In spite of PML method, CE-ABC2 does not add any additional computational cost to the modeling except assembling boundary matrices. As a result, considering CE-ABC2 is more efficient than PML for the frequency domain acoustic wave propagation modeling especially when computational cost is high and high-level absorbing performance is unnecessary. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:Wave propagation modeling as a vital tool in seismology can be done via several different numerical methods among them are finite-difference, finite-element, and spectral-element methods (FDM, FEM and SEM). Some advanced applications in seismic exploration benefit the frequency domain modeling. Regarding flexibility in complex geological models and dealing with the free surface boundary condition, we studied the frequency domain acoustic wave equation using FEM and SEM. The results demonstrated that the frequency domain FEM and SEM have a good accuracy and numerical efficiency with the second order interpolation polynomials. Furthermore, we developed the second order Clayton and Engquist absorbing boundary condition (CE-ABC2) and compared it with the perfectly matched layer (PML) for the frequency domain FEM and SEM. In spite of PML method, CE-ABC2 does not add any additional computational cost to the modeling except assembling boundary matrices. As a result, considering CE-ABC2 is more efficient than PML for the frequency domain acoustic wave propagation modeling especially when computational cost is high and high-level absorbing performance is unnecessary. [ABSTRACT FROM AUTHOR]
ISSN:17455030
DOI:10.1080/17455030.2017.1355079